{"id":1765,"date":"2020-07-20T15:24:31","date_gmt":"2020-07-20T15:24:31","guid":{"rendered":"http:\/\/www.uncharted-worlds.org\/blog\/?p=1765"},"modified":"2022-11-15T22:33:52","modified_gmt":"2022-11-15T22:33:52","slug":"covid-19-numbers-step-by-step","status":"publish","type":"post","link":"https:\/\/www.uncharted-worlds.org\/blog\/2020\/07\/covid-19-numbers-step-by-step\/","title":{"rendered":"COVID-19 numbers, step by step"},"content":{"rendered":"<p class=\"intro\">What do we know about covid numbers? And how do we know? Key points, plus explanations in common-sense terms. (Most examples from England or UK.)<\/p>\n<p>Doctors and science researchers are learning more every day about covid and the virus which causes it.<sup><b><a class=\"footnote\" title=\"Note on naming.\" href=\"#footnote.naming\" name=\"naming\">1<\/a><\/b><\/sup> Out of my own wish to understand, I&#8217;ve been reading science papers and news stories, and following scientists discussing among themselves on Twitter.<\/p>\n<p>Often, it\u00a0seems to take a while for that info to get out into everyday knowledge. (Plus, in the UK, the government keeps saying different things.) I\u00a0thought I&#8217;d try to bridge the information gap, and do some plain-English explanations.<\/p>\n<p>Today&#8217;s theme is numbers and measurements &#8211; e.g. deaths, cases, testing. I&#8217;ll\u00a0talk partly about the actual numbers, and partly about how we try to find them out, and the things we don&#8217;t know yet. And\u00a0then I&#8217;ve got this to refer back to if I write other things which draw on those numbers.<\/p>\n<p>It\u00a0got long, so I don&#8217;t necessarily suggest you read it all:<\/p>\n<div class=\"itemizedlist\">\n<ul type=\"disc\">\n<li>Just want a quick <strong>overview<\/strong>? See the <a title=\"Key points covered\" href=\"#key-points-covered\">key points<\/a> section.<\/li>\n<li>More <strong>explanation<\/strong>? Don&#8217;t like statistics but do want to understand? Jump\u00a0from a key point to the particular topic you&#8217;re interested in, or browse through.<\/li>\n<li>Don&#8217;t trust it until you&#8217;ve checked the <strong>sources<\/strong>? (wise!) Footnotes give more details of how I got to these conclusions.<\/li>\n<\/ul>\n<\/div>\n<p>(Content note for the rest of it: plain talk about death. Feel free to come back another day if you&#8217;re not in the mood.)<\/p>\n<p><a href=\"https:\/\/www.uncharted-worlds.org\/blog\/wp-content\/uploads\/2020\/07\/CovidNumbersStepByStep.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"2499\" height=\"1248\" class=\"alignnone size-medium wp-image-1766\" src=\"https:\/\/www.uncharted-worlds.org\/blog\/wp-content\/uploads\/2020\/07\/CovidNumbersStepByStep.jpg\" alt=\"Covid-19 Numbers Step By Step\" srcset=\"https:\/\/www.uncharted-worlds.org\/blog\/wp-content\/uploads\/2020\/07\/CovidNumbersStepByStep.jpg 2499w, https:\/\/www.uncharted-worlds.org\/blog\/wp-content\/uploads\/2020\/07\/CovidNumbersStepByStep-300x150.jpg 300w, https:\/\/www.uncharted-worlds.org\/blog\/wp-content\/uploads\/2020\/07\/CovidNumbersStepByStep-1024x511.jpg 1024w, https:\/\/www.uncharted-worlds.org\/blog\/wp-content\/uploads\/2020\/07\/CovidNumbersStepByStep-768x384.jpg 768w, https:\/\/www.uncharted-worlds.org\/blog\/wp-content\/uploads\/2020\/07\/CovidNumbersStepByStep-1536x767.jpg 1536w, https:\/\/www.uncharted-worlds.org\/blog\/wp-content\/uploads\/2020\/07\/CovidNumbersStepByStep-2048x1023.jpg 2048w, https:\/\/www.uncharted-worlds.org\/blog\/wp-content\/uploads\/2020\/07\/CovidNumbersStepByStep-1200x599.jpg 1200w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 1362px) 62vw, 840px\" \/><\/a><\/p>\n<h2><a name=\"key-points-covered\"><\/a> Key points covered<\/h2>\n<div class=\"itemizedlist\">\n<ul class=\"keypoints\" type=\"disc\">\n<li>The\u00a0<strong>measurements<\/strong> of deaths and known infections <strong>don&#8217;t tell us<\/strong> what infections are happening <strong>right now today<\/strong>. All the measurements have a bit of a <a title=\"Time-lag in measuring\" href=\"#time-lag-in-measuring\">time-lag<\/a>.<\/li>\n<li>So far this year &#8211; mostly during April and May &#8211; about <strong>67 to 69 thousand people in the UK<\/strong> <a title=\"UK excess deaths\" href=\"#uk-excess-deaths\">have died<\/a> that we wouldn&#8217;t normally expect at that time of year. This is called the &#8220;<a title=\"&quot;Excess deaths&quot;\" href=\"#excess-deaths\">Excess deaths<\/a>&#8220;.<\/li>\n<li>About <strong>45\u00a0thousand<\/strong> of those were of people who&#8217;d tested positive for covid, who are counted in the official numbers from the Department of Health and Social Care (DHSC).(There&#8217;s also a separate count by the Office of National Statistics, based on death certificates; I&#8217;ll get into <a title=\"England's definitions of a covid death\" href=\"#englands-definitions-of-a-covid-death\">the differences<\/a>.)<\/li>\n<li>&#8220;<strong>Excess deaths<\/strong>&#8221; <a title=\"&quot;Excess deaths&quot;\" href=\"#excess-deaths\">doesn&#8217;t measure exactly the same thing<\/a> as &#8220;official number of deaths from covid&#8221;. But\u00a0it <a title=\"&quot;Excess deaths&quot; isn't very wiggly\" href=\"#excess-deaths-isnt-very-wiggly\">can be more useful<\/a> for comparing, because it doesn&#8217;t depend on side questions, such as how many people got tested, or <a title=\"What counts as a death from covid\" href=\"#what-counts-as-a-death-from-covid\">what exactly you count as &#8220;a\u00a0death from covid&#8221;<\/a>.<\/li>\n<li>You can&#8217;t automatically <em>assume<\/em> that the unexpected deaths were all covid. But\u00a0<a title=\"What were those other deaths?\" href=\"#what-were-those-other-deaths\">for other reasons, we can deduce<\/a> that these ones probably mostly were. So\u00a0back in the spring, there were <a title=\"The extra 20 thousand or so\" href=\"#the-extra-20-thousand-or-so\">probably<\/a> about <strong>20\u00a0thousand deaths<\/strong> in the UK which <strong>didn&#8217;t get written down as covid, but actually were<\/strong>. The\u00a0official covid deaths from the DHSC at the moment won&#8217;t include this other 20\u00a0thousand.<\/li>\n<li>The\u00a0official figure for the <strong>total number of cases<\/strong> (about <strong>294\u00a0thousand<\/strong> so far, at 19\u00a0July) <a title=\"How many infections in an area\" href=\"#how-many-infections\">should really be thought of as<\/a> &#8220;<strong>cases that we know about<\/strong>&#8220;. There are (and were) probably still a lot of infections that we <em>don&#8217;t<\/em> know about.<\/li>\n<li>The\u00a0<strong>COVID-19 Symptom Study<\/strong> <a title=\"Infections in the UK\" href=\"#infections-in-the-uk\"> is a good source of estimates<\/a> for how many UK people in the 20 to 69 age range currently have covid symptoms. <a title=\"COVID Infections estimate page, from the COVID-19 Symptom Study.\" href=\"https:\/\/covid.joinzoe.com\/data\">That estimate<\/a> is currently being updated every day. (It\u00a0doesn&#8217;t include care homes, or people outside those age ranges, or people who have the virus without symptoms.)<\/li>\n<li>There have been attempts to work out <strong>how many people have had the virus so far<\/strong>. We <a title=\"How many people had it already?\" href=\"#how-many-people-had-it-already\">don&#8217;t yet have a good way to find that out<\/a>; I&#8217;ll\u00a0talk about some guesses.<\/li>\n<li>Related to that question, it&#8217;s important <strong>not to assume that having the virus once gives you immunity forever<\/strong>. We\u00a0don&#8217;t know yet whether that&#8217;s the case; it&#8217;s probably more likely that immunity wears off over time.<\/li>\n<li>If two areas are doing equally well at protecting people from the virus, one might still have more deaths than the other, simply because more people <em>live<\/em> there. So\u00a0sometimes, instead of comparing the total for the whole country, it\u00a0can make more sense to <a title=\"Comparisons\" href=\"#comparisons\">compare same-size chunks<\/a>. Typically, you&#8217;d look at how many people died unexpectedly out of each million people in the area. This\u00a0would be called &#8220;<strong>excess deaths per million people<\/strong>&#8220;.<\/li>\n<li><a title=\"&quot;Excess deaths&quot; per million people in the population\" href=\"#excess-deaths-per-million-people-in-the-population\">Based on all the numbers discussed here<\/a>, it looks as though in the year so far, up to 19\u00a0July, the UK has had something in the region of <strong>800\u00a0to\u00a01,000 excess deaths out of every million<\/strong> people in the country. So\u00a0far, this is <strong>similar to Spain<\/strong>, a\u00a0little bit worse than Italy, about twice as bad as France, and <em>much<\/em> worse than Germany, Greece or Denmark.<\/li>\n<li>Of every <strong>200<\/strong> people who gets infected with covid, at the moment it looks as though typically <strong>1\u00a0or 2<\/strong> would die. The\u00a0<a title=\"Infection Fatality Rate\" href=\"#infection-fatality-rate\">exact number isn&#8217;t known yet<\/a>. However, that doesn&#8217;t mean that any random person has the same risk; for example, older people are more likely to die of it than younger people.<\/li>\n<li>We <a title=\"Long-term disabilities\" href=\"#long-term-disabilities\">don&#8217;t know yet<\/a> how many previously-healthy people will remain <strong>long-term disabled<\/strong> as a result of a covid illness, such as a stroke, damaged lungs, or post-viral fatigue.<\/li>\n<li>Because the illness is very new, death risks and disability risks are both <a title=\"Risks reduce as doctors learn more\" href=\"#risks-reduce-as-doctors-learn-more\">likely to improve<\/a> over the months, as doctors &amp; researchers <strong>learn more<\/strong> about the <strong>best treatments<\/strong>.<\/li>\n<li>The\u00a0<strong>&#8220;R&#8221; number<\/strong> is way of summing up roughly how successfully the virus is managing to spread around. It&#8217;s\u00a0<a title=\"The\u00a0&quot;R&quot; number\" href=\"#the-r-number\">how many other people would typically be infected by 1\u00a0infected person<\/a>. For\u00a0a particular virus, it\u00a0<a title=\"R and growth can change\" href=\"#r-and-growth-can-change\">changes over time<\/a>, depending on what&#8217;s going on with the humans.<\/li>\n<li>Another way to talk about the epidemic growing or shrinking is the &#8220;<strong>growth rate<\/strong>&#8220;. For example, if\u00a01,000 people caught the virus yesterday, and 1020 people catch it newly today, that would be a &#8220;<a title=\"Growth rate\" href=\"#growth-rate\">growth rate<\/a>&#8221; of 2% (two per cent). Or\u00a0if 980 people catch it newly today, that would be a &#8220;growth rate&#8221; of -2% (<em>minus<\/em> two per\u00a0cent).<\/li>\n<li>At the moment, the <strong>UK<\/strong>&#8216;s epidemic is probably <a title=\"The\u00a0UK's R number going down and up\" href=\"#the-uks-r-number-going-down-and-up\">about holding steady<\/a>, with deaths around 100 a day, mostly in England. Scotland is doing better than England; they&#8217;re down to about 1\u00a0death a week at the moment.<\/li>\n<li>&#8220;Pillars 1 &amp; 2&#8221; of the English government&#8217;s <strong>testing<\/strong> plan both relate to &#8220;<strong>who&#8217;s got the virus now<\/strong>&#8221; type testing, where you want the answer back as quick as possible. Pillar 1 is via labs in the National Health Service and Public Health England. Pillar 2 is the privatised services, e.g. drive-in testing.Some useful measurements to track would be:\n<div class=\"itemizedlist\">\n<ul type=\"circle\">\n<li><strong>How quickly<\/strong> can people <strong>get a test<\/strong> if they want one?<\/li>\n<li><strong>How soon<\/strong> do they get the <strong>results<\/strong>?<\/li>\n<li>If 100 people get tested, <strong>how many results come back positive<\/strong>? (The\u00a0idea is that if it&#8217;s more than a handful, there are probably a lot more infected people you haven&#8217;t found yet, and you should be aiming to do more tests.)<\/li>\n<\/ul>\n<\/div>\n<\/li>\n<\/ul>\n<\/div>\n<p>In\u00a0the rest of this article, I\u00a0shan&#8217;t bring in much different stuff &#8211; I&#8217;ll just spell out the reasoning in a more step-by-step way, and give links to find out more.<\/p>\n<h2><a name=\"simple-example-of-a-tricky-question\"><\/a> Simple example of a tricky question<\/h2>\n<p>The\u00a0first thing I want to explain is: with statistics, some tricky questions never go away however expert you are. I\u00a0would even say that the art of understanding stats is largely the understanding of all the many many ways they can get wiggly :-)<\/p>\n<p>Here&#8217;s an example: if\u00a0you&#8217;re counting apples in your kitchen, and you&#8217;ve got four apples, but one is half manky already&#8230; would you count the half-manky one, so you&#8217;d say you had 4? or not, so you&#8217;d say you had 3?<\/p>\n<p>If you were counting up to check that your receipt from the shop was correct, you probably <em>would<\/em> count the half-gone one. You\u00a0did <em>buy<\/em>\u00a0it, even if you don&#8217;t get to eat all of\u00a0it. So\u00a0then the answer is\u00a04.<\/p>\n<p>But\u00a0if you were counting up to see how many days you could have an apple for a snack, you probably <em>wouldn&#8217;t<\/em> want to count that one. Or you might count it as &#8220;a half&#8221;, because you could cut the squidgy bit off and eat the other half. So\u00a0then the answer is either 3, or\u00a03\u00bd.<\/p>\n<p>So\u00a0even with that relatively simple example, you&#8217;re already dealing with a question of: &#8220;<strong>what are we counting exactly, and why does it make sense to do it that way<\/strong>&#8220;.<\/p>\n<p>This kind of question comes up in stats all the time &#8211; including with the covid numbers.<\/p>\n<h2><a name=\"simple-example-of-another-tricky-question\"><\/a>Simple example of another tricky question<\/h2>\n<p>Another type of uncertainty is where there <em>was<\/em> a definite answer, but it didn&#8217;t get noted at the time, and now you can&#8217;t find it out.<\/p>\n<p>For example, you might go swimming at a pool one day, and swim up and down. And later you think, I\u00a0wonder how many lengths I swam?<\/p>\n<p>There <em>was<\/em> an answer. You can probably even guess roughly what it was, from memory or from the amount of time you were at the pool. &#8220;Maybe about 15 or 20, definitely not as many as 50.&#8221;<\/p>\n<p>But\u00a0if you didn&#8217;t count the exact number at the time, you don&#8217;t know it now. You <strong>can&#8217;t go back in time<\/strong> and watch yourself swim.<\/p>\n<p>This is a bit like the situation where someone died of a stroke back in February and now we&#8217;re wondering whether the stroke could&#8217;ve been caused by covid. If we could go back in time, we could test their body for the virus. But\u00a0now we can&#8217;t.<\/p>\n<p>The\u00a0more you get into stats geekery, the more you bump into things like those two examples! where there&#8217;s either uncertainty, or a &#8220;what makes sense here&#8221; situation, or both. Even the experts don&#8217;t always agree.<\/p>\n<p>For now, though, let&#8217;s get into the real questions about covid.<\/p>\n<h2><a name=\"what-counts-as-a-death-from-covid\"><\/a>What counts as a death from covid<\/h2>\n<p>As soon as you ask the question of <strong>how\u00a0many people are dying of the illness<\/strong>, you have to decide what counts as &#8220;dying from covid&#8221;.<\/p>\n<p>In\u00a0some cases, it&#8217;s really obvious. The\u00a0person was fine until they got ill; after a week or so of feeling ill, they had trouble breathing; they went to hospital; a\u00a0test result said the virus was in their body; after a couple more weeks, they died. Definitely counts.<\/p>\n<p>In\u00a0some cases, it&#8217;s not so clear-cut.<\/p>\n<h3><a name=\"when-the-test-doesnt-confirm\"><\/a>When the test doesn&#8217;t confirm<\/h3>\n<p>For example: Someone died, and it <em>looked<\/em> as though they had the illness, but the test result came back negative.<\/p>\n<div class=\"itemizedlist\">\n<ul type=\"disc\">\n<li>Was the test wrong? That can happen.<\/li>\n<li>Was the illness really something else? That\u00a0can happen too.<\/li>\n<\/ul>\n<\/div>\n<h3><a name=\"what-if-they-wouldve-died-anyway\"><\/a>What if they would&#8217;ve died anyway<\/h3>\n<p>Suppose someone has a stroke, and dies. That gets written down as: they died of a stroke.<\/p>\n<p>Most strokes are caused by a blood clot getting stuck and cutting off the blood supply to a bit of the brain. (a few are caused a different way.)<\/p>\n<p>We know that covid can cause blood-clotting in the wrong places (or as doctors call it, &#8220;thrombosis&#8221;),<sup><b><a class=\"footnote\" title=\"Lancet paper about blood clotting in covid.\" href=\"#footnote.blood-clotting\" name=\"blood-clotting\">2<\/a><\/b><\/sup> and some people with covid infections have had strokes.<\/p>\n<p>What if this person&#8217;s blood clot was caused by the coronavirus affecting their blood? Then if the person <em>hadn&#8217;t<\/em> caught the coronavirus, their blood wouldn&#8217;t have formed that clot, and they wouldn&#8217;t have had the stroke.<\/p>\n<p>How do you tell that apart from a stroke they would&#8217;ve had anyway?<\/p>\n<p>Even when you know they had the covid virus at the time&#8230; strokes do happen without covid too. You\u00a0might wonder.<\/p>\n<h3><a name=\"clues-from-around-the-place\"><\/a>Clues from around the place<\/h3>\n<p>Another question you might have to think about is: are you going to allow clues from what&#8217;s going on <em>around<\/em> the person who died?<\/p>\n<p>For example, let&#8217;s imagine that you&#8217;re a doctor looking after some people in a care home. And one day, one of the people you look after there gets ill with pneumonia &#8211; inflamed lungs &#8211; and it gets worse, and a bit later, they die.<\/p>\n<p>If that&#8217;s <em>all<\/em> you know, you might put on the certificate &#8220;died of pneumonia&#8221;.<sup><b><a class=\"footnote\" title=\"Note on how doctors write death certificates.\" href=\"#footnote.doctors-writing-death-certificates\" name=\"doctors-writing-death-certificates\">3<\/a><\/b><\/sup><\/p>\n<p>But\u00a0what if you also know that two other people died of pneumonia in the same care home that week? and those two people were both tested for the covid virus, and it came back that they <em>did<\/em> have it?<\/p>\n<p>Knowing that covid often causes pneumonia, you&#8217;re probably going to put that <em>those<\/em> two <em>did<\/em> die of covid &#8211; or to be specific, something more like &#8220;pneumonia caused by covid&#8221;.<\/p>\n<p>Then you&#8217;re thinking about that first person. Should you count their death as covid-related as well? now you know that covid was in their care home, and that person had the same symptoms as the other two? even though that one person for some reason didn&#8217;t get tested?<\/p>\n<h2><a name=\"definitions-choices-and-wiggle-room\"><\/a>Definitions, choices and wiggle room<\/h2>\n<p>So, when you count up the covid deaths, whenever you get to one of those choices which could reasonably go in either direction, <strong><em>someone<\/em> has to decide whether it does count or it\u00a0doesn&#8217;t<\/strong>. (same\u00a0as, in the <a title=\"Earlier section of this article, with a simple example of a tricky question.\" href=\"#simple-example-of-a-tricky-question\">apples example<\/a>, you&#8217;d have to decide whether to count that half-an-apple or not.)<\/p>\n<p>This &#8220;<strong>human judgement call<\/strong>&#8221; factor is part of the reason why it&#8217;s hard to compare between different countries. The\u00a0people who define the counting-up rules in <em>one<\/em> country aren&#8217;t necessarily making the same judgement calls as the people in <em>another<\/em> country.<\/p>\n<p>If your priority is &#8220;we must definitely keep track of what&#8217;s going on, and not be lulled into a false sense of security&#8221;, then you make a big effort to offer testing to anyone who&#8217;s been near to an infected person. And\u00a0if you suspect that a death is <em>probably<\/em> due to covid, you <em>do<\/em> count it, even if you&#8217;re not 100% sure.<\/p>\n<p>For example, in Belgium, if\u00a0someone dies in a care home and doctors think it was covid, <a href=\"https:\/\/www.bbc.co.uk\/news\/world-europe-52491210\">that gets counted as a covid death<\/a>, even if the person who died wasn&#8217;t tested.<\/p>\n<blockquote><p>&#8220;It&#8217;s\u00a0based on the assessment of the medical doctor, usually taking into account whether the coronavirus is present in the same care home,&#8221; says Prof Van Gucht.<\/p>\n<p>&#8220;For example: if you have one or two confirmed cases, then the week after you have 10 deaths in the same home based on similar symptoms.&#8221;<\/p><\/blockquote>\n<p>In\u00a0other words, Belgium is an example where people are &#8220;<strong>erring on the safe side<\/strong>&#8221; in their counting. The\u00a0numbers might &#8220;look worse&#8221; than some other countries &#8211; but the medics and government there aren&#8217;t going to be caught out with &#8220;uh\u00a0oh, actually there were lots more infections we hadn&#8217;t realised were there&#8221;.<\/p>\n<p>On the other hand, if\u00a0your area relies on tourism&#8230; or you just want your government to look better&#8230; or for whatever reason, you decide you want to make the covid deaths look as low as possible, without actually going so far as to write down fake numbers&#8230; then you&#8217;d want to err on the side of <strong>counting the &#8220;uncertain&#8221; deaths as something else<\/strong>. You might even intentionally <em>not<\/em> test people, so as not to find out for sure.<\/p>\n<p>&#8220;This\u00a0person died of pneumonia.&#8221; Yeah they did, but why did they <em>get<\/em> the pneumonia? If there&#8217;s suddenly thousands more people dying of pneumonia than last year&#8230; that&#8217;s a bit suspicious!<\/p>\n<p>Or of course, you can equally well have a setup where nobody&#8217;s actively <em>trying<\/em> to wiggle the figures, but they just have a <strong>testing system that doesn&#8217;t work very well<\/strong>, so it misses a lot of the people.<\/p>\n<p><a href=\"https:\/\/analysis.covid19healthsystem.org\/index.php\/2020\/06\/04\/how-comparable-is-covid-19-mortality-across-countries\/\">Here&#8217;s an article with a chart showing how different countries have been defining and counting &#8220;deaths from covid&#8221;<\/a>.<\/p>\n<p><a href=\"https:\/\/covidtracking.com\/blog\/confirmed-and-probable-covid-19-deaths-counted-two-ways\">Here&#8217;s an article discussing similar &#8220;what are we counting exactly&#8221; questions in the US<\/a>.<\/p>\n<h2><a name=\"englands-definitions-of-a-covid-death\"><\/a>England&#8217;s definitions of a covid death<\/h2>\n<p>As I understand it, there are two sets of official covid death numbers for England.<\/p>\n<div class=\"itemizedlist\">\n<ul type=\"disc\">\n<li>One set of numbers is based on counting <strong>who&#8217;s died after testing positive for the virus<\/strong>. It\u00a0covers the whole UK, and there&#8217;s a separate subtotal for England. It&#8217;s published by the Department of Health and Social Care (DHSC), based on input from Public Health England (PHE) and similar organisations. The latest total is at <a title=\"Government web site for covid data.\" href=\"https:\/\/coronavirus.data.gov.uk\/\">coronavirus.data.gov.uk<\/a>.<sup><b><a class=\"footnote\" title=\"More about that web site.\" href=\"#footnote.dhsc-covid-deaths\" name=\"dhsc-covid-deaths\">4<\/a><\/b><\/sup> At 19 July 2020, their count stands at <strong>45,300<\/strong> &#8220;positive-tested deaths&#8221; for the UK as a whole, of which <strong>40,706<\/strong> were in England, <strong>1,547<\/strong> in Wales, 2,491 in Scotland, 556 in Northern Ireland.<\/li>\n<li>The other set is based on <strong>what doctors said on death certificates<\/strong>. That one is organised by the <strong>Office of National Statistics<\/strong> (ONS), which keeps track of all the births and deaths in England and Wales. When you register a birth or a death in England, the info gets sent to them.Their count isn&#8217;t published as often. The latest I&#8217;ve seen is from 3\u00a0July, <a href=\"https:\/\/www.ons.gov.uk\/peoplepopulationandcommunity\/healthandsocialcare\/conditionsanddiseases\/articles\/coronaviruscovid19roundup\/2020-03-26#coviddeaths\">published 14\u00a0July<\/a>: <strong>50,548<\/strong> deaths registered, in England and Wales put together, which had covid on the death certificate.In practice, so far, most of those had covid identified as the <em>main<\/em> cause of death.<br \/>\n<blockquote><p>In the majority of cases (46,736 deaths, 92.8%) where COVID-19 was mentioned on the death certificate, it\u00a0was found to be the underlying cause of death.<\/p><\/blockquote>\n<p>But it <em>can<\/em> also include certificates where covid got a mention as a contributing factor. (See longer quote from them below, explaining how death certificates work.)<\/li>\n<\/ul>\n<\/div>\n<p>You can see that the &#8220;death certificates&#8221; count is coming out higher than the &#8220;had a positive test before dying&#8221; count.<\/p>\n<p>Let&#8217;s look at how each organisation defines the numbers they&#8217;re counting.<\/p>\n<h3><a name=\"dhsc-definition\"><\/a>DHSC definition<\/h3>\n<p>The definition in use (at 19\u00a0July) by the <strong>Department of Health and Social Care<\/strong> is summarised by this line, on the web page next to the total:<\/p>\n<blockquote><p>Deaths of people who have had a positive test result<\/p><\/blockquote>\n<p>The full definition (as of 19\u00a0July) says more:<\/p>\n<blockquote><p>Total number of deaths of people who have had a positive test result for COVID-19 reported on or up to the latest reporting date.<\/p>\n<p>The data do not include deaths of people who had COVID-19 but had not been tested or people who had been tested negative and subsequently caught the virus and died.<\/p>\n<p>Deaths of people who have tested positively for COVID-19 could in some cases be due to a different cause.<\/p>\n<p><span class=\"quote-interpolation\">&#8211; <a href=\"https:\/\/coronavirus-staging.data.gov.uk\/about-data#daily-and-cumulative-covid19-associated-deaths\">https:\/\/coronavirus-staging.data.gov.uk\/about-data#daily-and-cumulative-covid19-associated-deaths<\/a><\/span><\/p><\/blockquote>\n<p>(The full definition also includes an explanation of where exactly they get the data from in each UK nation, and other practical details.)<\/p>\n<p>So\u00a0if\u00a0you have someone who, going purely by common sense, <em>might<\/em> have died because of covid, but for whatever reason they didn&#8217;t get tested, they <strong>wouldn&#8217;t be included<\/strong> in this official count. (This probably applied to a lot of people in March and April. More on that in a bit.)<\/p>\n<p>It also means that if someone&#8217;s cause of death <em>doesn&#8217;t<\/em> look like covid, but they&#8217;d tested positive around the time of their death, they <strong><em>would<\/em> be included<\/strong> in the count.<\/p>\n<p><strong>When the test has been recent<\/strong>, that&#8217;s maybe not as daft as it sounds, given <a title=\"National Post article from Canada, &quot;Anything can be COVID-19: As pandemic grinds on, doctors find early definitions of disease were too narrow&quot;.\" href=\"https:\/\/nationalpost.com\/news\/anything-can-be-covid-19-as-pandemic-grinds-on-doctors-find-early-definitions-of-disease-were-too-narrow\/\">how many weird ways covid turns out to affect people<\/a>:<\/p>\n<blockquote><p>One colleague told Belchetz about a patient who came in with a head laceration. \u201cEveryone assumed it was nothing to worry about,\u201d he said. Head wounds are bread and butter stuff in the ER. But\u00a0after some detailed questioning, the patient revealed how he got the cut: He had passed out and fallen.<\/p>\n<p>He didn\u2019t have a cough or a fever. But\u00a0he wasn\u2019t getting enough oxygen. He got swabbed. The\u00a0test came back. He had COVID-19.<\/p><\/blockquote>\n<p>I&#8217;ve seen people (online) saying things like &#8220;my uncle died of a heart attack, and they&#8217;ve written down it was covid!&#8221; or &#8220;my grandma died from a bad fall and they&#8217;ve counted that as a covid death! ridiculous!&#8221;<\/p>\n<p>And, OK, if you could go and ask God, or replay a moving microscope scan of exactly what the person&#8217;s immune system was busy with when they died, then you <strong>might discover in some cases that the conclusion was <em>wrong<\/em><\/strong>. But\u00a0if they had the virus at the time, it <strong>isn&#8217;t all <em>that<\/em> ridiculous<\/strong>, because we know now that heart attacks and bad falls <em>are<\/em> both things that can be (partly) caused by covid. In a situation where you can&#8217;t be 100% sure, it&#8217;s not unreasonable to guess that there could&#8217;ve been a connection.<\/p>\n<p>However, this &#8220;anything that happens after the test&#8221; definition <strong>will produce more mistakes as the test result recedes into the past<\/strong>. If someone had a minor run-in with covid six months ago, felt pretty much back to normal after a few weeks, and then dies of something apparently unrelated&#8230; does it really make sense to count that death as part of tracking the epidemic? Probably usually not.<\/p>\n<p>So the latest news about how they&#8217;re counting it is that there&#8217;s probably going to be a cut-off point in time for making the connection: for example, if the person&#8217;s positive test result was a month ago, or three months ago (I don&#8217;t know what timing they&#8217;re going to choose), don&#8217;t count that death as covid-related.<\/p>\n<blockquote><p>The Secretary of State has today, 17\u00a0July, asked PHE to urgently review their estimation of daily death statistics. Currently the daily deaths measure counts all people who have tested positive for coronavirus and since died, with no cut-off between time of testing and date of death. There have been claims that the lack of cut-off may distort the current daily deaths number. We are therefore pausing the publication of the daily figure while this is resolved.<\/p>\n<p><span class=\"quote-interpolation\">(from <a href=\"https:\/\/www.gov.uk\/guidance\/coronavirus-covid-19-information-for-the-public#dashboard-of-coronavirus-cases-and-deaths\">https:\/\/www.gov.uk\/guidance\/coronavirus-covid-19-information-for-the-public#dashboard-of-coronavirus-cases-and-deaths<\/a> on 18\u00a0July, although by 19\u00a0July, the\u00a0wording had already changed a bit.)<\/span><\/p><\/blockquote>\n<p>Bear in mind, a <strong>time cut-off can&#8217;t totally solve the problem either<\/strong>! A\u00a0person could test positive while feeling fine, and next day, sheer bad luck for them, a builders&#8217; crane tips over and crashes into their house and they die. You don&#8217;t <em>really<\/em> want to count that as a covid death, but it would still be included under the time cut-off rule.<\/p>\n<p>Or, other way round: a person could die of a non-covid pneumonia, a year or two into the future after they&#8217;d had covid &#8211; and covid actually <em>could<\/em> still have contributed to their death, if it had left lasting damage in their lungs.<\/p>\n<h3><a name=\"ons-definition-and-how-death-certificates-work\"><\/a>ONS definition, and how death certificates work<\/h3>\n<p>Now, what about the definition in use by the <strong>Office of National Statistics<\/strong>?<\/p>\n<p>Here&#8217;s their explanation of <strong>how COVID-19 might end up on a death certificate<\/strong>, and the categories they use when they&#8217;re counting (bold type added by me):<\/p>\n<blockquote><p>The doctor certifying a death can list all causes in the chain of events that led to the death and pre-existing conditions that may have contributed to the death. Using this information, we determine an underlying cause of death. More information on this process can be found in our user guide. In the majority of cases (46,736 deaths, 92.8%) where COVID-19 was mentioned on the death certificate, it\u00a0was found to be the underlying cause of death.<\/p>\n<p>Our definition of COVID-19 includes some cases where the certifying doctor suspected the death involved COVID-19 but was not certain, for example, because no test was done. Of the 46,736 deaths with an underlying cause of COVID-19, 3,763 (8.1%) were classified as \u201csuspected\u201d COVID-19. Including mentions, \u201csuspected\u201d COVID-19 was recorded on 8.4% (4,251\u00a0deaths) of all deaths involving COVID-19.<\/p>\n<p>In this bulletin, we use the term \u201c<strong>due to COVID-19<\/strong>\u201d when referring only to deaths with an underlying cause of death as COVID-19 and we use the term \u201c<strong>involving COVID-19<\/strong>\u201d when referring to deaths that had COVID-19 mentioned anywhere on the death certificate, whether as an underlying cause or not.<\/p>\n<p><span class=\"quote-interpolation\">&#8211; <a href=\"https:\/\/www.ons.gov.uk\/peoplepopulationandcommunity\/birthsdeathsandmarriages\/deaths\/bulletins\/deathsinvolvingcovid19englandandwales\/deathsoccurringinjune2020#how-many-people-have-died-from-covid-19\">https:\/\/www.ons.gov.uk\/peoplepopulationandcommunity\/birthsdeathsandmarriages\/deaths\/bulletins\/deathsinvolvingcovid19englandandwales\/deathsoccurringinjune2020#how-many-people-have-died-from-covid-19<\/a><\/span><\/p><\/blockquote>\n<p>Here&#8217;s them putting into context what they do with those numbers, and how their numbers compare to the DHSC ones:<\/p>\n<blockquote><p>Because of the coronavirus (COVID-19) pandemic, our regular weekly deaths release now provides a separate breakdown of the numbers of deaths involving COVID-19: that is, where COVID-19 or suspected COVID-19 was mentioned anywhere on the death certificate, including in combination with other health conditions. If a death certificate mentions COVID-19 it will not always be the main cause of death but may be a contributory factor. &#8230;<\/p>\n<p>These figures are different from the daily surveillance figures on COVID-19 deaths published by the Department of Health and Social Care (DHSC) on the GOV.UK website, for the UK as a whole and constituent countries. Figures in this report are derived from the formal process of death registration and may include cases where the doctor completing the death certificate diagnosed possible cases of COVID-19, for example, where this was based on relevant symptoms but no test for the virus was conducted.<\/p>\n<p>In contrast to the GOV.UK figures, we include only deaths registered in England and Wales, which is the legal remit of the Office for National Statistics (ONS).<\/p>\n<p><span class=\"quote-interpolation\">&#8211; <a href=\"https:\/\/www.ons.gov.uk\/peoplepopulationandcommunity\/birthsdeathsandmarriages\/deaths\/bulletins\/deathsregisteredweeklyinenglandandwalesprovisional\/latest#measuring-the-data\"> https:\/\/www.ons.gov.uk\/peoplepopulationandcommunity\/birthsdeathsandmarriages\/deaths\/bulletins\/deathsregisteredweeklyinenglandandwalesprovisional\/latest#measuring-the-data<\/a><\/span><\/p><\/blockquote>\n<p>Here&#8217;s an example pic of what the doctor has to fill in, also taken from the ONS site:<\/p>\n<div class=\"mediaobject\"><a href=\"https:\/\/www.uncharted-worlds.org\/blog\/wp-content\/uploads\/2020\/07\/DeathCertificateSample.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-1767\" src=\"https:\/\/www.uncharted-worlds.org\/blog\/wp-content\/uploads\/2020\/07\/DeathCertificateSample-300x257.jpg\" alt=\"Sample &quot;Medical Certificate Of Cause Of Death&quot;, that a doctor would fill in after someone's died.\" width=\"300\" height=\"257\" srcset=\"https:\/\/www.uncharted-worlds.org\/blog\/wp-content\/uploads\/2020\/07\/DeathCertificateSample-300x257.jpg 300w, https:\/\/www.uncharted-worlds.org\/blog\/wp-content\/uploads\/2020\/07\/DeathCertificateSample.jpg 742w\" sizes=\"auto, (max-width: 300px) 85vw, 300px\" \/><\/a><\/div>\n<p>The doctor gets four different lines for what was going on in terms of the person&#8217;s health or death:<\/p>\n<blockquote><p>I(a) Disease or condition directly leading to death<\/p>\n<p>(b) Other disease or condition, if any, leading to I(a)<\/p>\n<p>(c) Other disease or condition, if any, leading to I(a)<\/p>\n<p>II\u00a0Other\u00a0significant\u00a0conditions<br \/>\nCONTRIBUTING TO THE DEATH but not related to the disease or condition causing it<\/p><\/blockquote>\n<p>(those capitals are on the original thing, not added by me)<\/p>\n<p>and there&#8217;s also a footnote for I(a) which says<\/p>\n<blockquote><p>This does not mean the mode of dying, such as heart failure, asphyxia, asthenia, etc: it means the disease, injury, or complication which caused death.<\/p><\/blockquote>\n<p>In the advice for doctors about filling them in, I\u00a0found an example of what you might put for covid:<\/p>\n<blockquote><p>I(a) Disease or condition directly leading to death<\/p>\n<p><em>Interstitial pneumonitis<\/em><\/p>\n<p>(b) Other disease or condition, if any, leading to I(a)<\/p>\n<p><em>COVID-19<\/em><\/p><\/blockquote>\n<p>So in that example, the covid caused the pneumonitis, which caused the death.<\/p>\n<p>In that example, COVID-19 would later be written down as the &#8220;<strong>underlying cause of death<\/strong>&#8220;, and the ONS would report that death as &#8220;<strong>due to<\/strong>&#8221; COVID-19.<\/p>\n<p>If the person also had diabetes (which might have contributed to their vulnerability to covid), that would go into the second part, \u201c<span class=\"quote\">Other significant conditions contributing to the death but not related to the disease or condition causing it<\/span>\u201d.<\/p>\n<p>So the key difference from the DHSC definition is that this one involves some common sense from human beings: firstly the doctor who writes the death certificate, and secondly, someone else deciding what to count as the underlying cause, if it wasn&#8217;t totally obvious.<\/p>\n<p>My guess is that in most cases, this is going to give a more sensible result. I\u00a0could be mistaken, but it seems fairly unlikely to me that a doctor would write down &#8220;covid&#8221; as a contributing factor if someone died because of a crane falling onto their house.<\/p>\n<p>It does still allow for a lot of covid deaths to have been missed in the early days of the epidemic, before the illness was as well understood (and while most people in England couldn&#8217;t get tested).<\/p>\n<h3><a name=\"learning-to-recognise-it\"><\/a>Learning to recognise it<\/h3>\n<p>The thing is, when covid first became famous, most people (including doctors) were thinking of it primarily as a &#8220;<strong>respiratory illness with fever<\/strong>&#8220;. It\u00a0wouldn&#8217;t surprise me if in the early weeks, a <strong>stroke<\/strong>, <strong>heart attack<\/strong>, or &#8220;quiet death overnight&#8221; <strong>might not have &#8220;looked like&#8221; covid<\/strong>, even if actually it was.<\/p>\n<p><a title=\"National Post article from Canada, &quot;Anything can be COVID-19: As pandemic grinds on, doctors find early definitions of disease were too narrow&quot;.\" href=\"https:\/\/nationalpost.com\/news\/anything-can-be-covid-19-as-pandemic-grinds-on-doctors-find-early-definitions-of-disease-were-too-narrow\/\">This article gives the flavour<\/a> of those early days, of <strong>doctors coming to realise how many different ways it could affect people<\/strong>:<\/p>\n<blockquote><p>&#8230; initially we had this very clear case diagnosis,\u201d <span class=\"quote-interpolation\">[Dr]<\/span> Belchetz said. \u201cIt\u00a0was travel and a cough and shortness of breath and fever.\u201d &#8230; \u201cBut\u00a0what we\u2019ve been finding is almost anything can be a presentation of COVID-19,\u201d Belchetz said. \u201cWe\u2019ve seen patients whose only presenting symptom is headache or their only presenting symptom is abdominal pain and we swab them and they\u2019re positive.\u201d<\/p><\/blockquote>\n<p>In\u00a0March, it\u00a0was still newsworthy that <a title=\"News article at heavy.com.\" href=\"https:\/\/heavy.com\/news\/2020\/03\/coronavirus-anosmia-loss-of-smell-why\/\">covid &#8220;might&#8221; cause loss of smell<\/a>! Yet we know now that that&#8217;s actually one of the most common symptoms.<\/p>\n<p>And emerging through June &amp; July, the COVID Symptom Study picked up that <a href=\"https:\/\/covid.joinzoe.com\/post\/skin-rash-covid\">some people have a skin rash as their only symptom<\/a>.<\/p>\n<p>I think by now, most doctors <em>are<\/em> aware of most of the main ways it can show up (not saying there won&#8217;t be a few more weird new symptoms to be added to the list), and testing is more widely available where covid is suspected. So I don&#8217;t expect that a large number of covid deaths are still being missed in England <em>now<\/em>. But\u00a0in the early part of the epidemic, it&#8217;s very possible that there were <strong>death certificates written<\/strong> which, <strong>if the same death happened now<\/strong>, would include &#8220;<strong>caused or partly caused by covid<\/strong>&#8220;.<\/p>\n<p>To sum up: both the DHSC count and the ONS count are approximations, not spot-on measures of &#8220;how many deaths in England were caused at least partly by covid infections&#8221;. Even the one I think is probably closer (the one drawing on doctors&#8217; common sense) isn&#8217;t perfect.<\/p>\n<h2><a name=\"excess-deaths\"><\/a> &#8220;Excess deaths&#8221;<\/h2>\n<p>A number that&#8217;s much simpler to define is what&#8217;s called the &#8220;<strong>excess deaths<\/strong>&#8220;.<\/p>\n<p>Instead of trying to work out <em>why<\/em> people died, you count up <strong>how many people died overall<\/strong>. And\u00a0then you <strong>compare that number with other recent years<\/strong>.<\/p>\n<p>It&#8217;s\u00a0not trying to measure exactly the same thing as &#8220;deaths from covid&#8221;. But\u00a0it can still be useful in getting a sense of how your area&#8217;s doing.<\/p>\n<h3><a name=\"fictiontown\"><\/a>Fictiontown<\/h3>\n<p>For example, let&#8217;s imagine you work in the registry office in Fictiontown, Fictionalshire. From past experience, you know that every April for the last few years, there&#8217;s been roughly <strong>100<\/strong> deaths registered in your town. Some years it could be a bit more, like 120&#8230; some years could be a bit less, like 85.<\/p>\n<p>To count up <em>those<\/em> numbers, no-one has to make a medical diagnosis: each\u00a0one is simply one death registered at the Fictiontown registry office on an April calendar date.<sup><b><a class=\"footnote\" title=\"Side note on calendar date wiggles.\" href=\"#footnote.calendar-date\" name=\"calendar-date\">5<\/a><\/b><\/sup><\/p>\n<p>Now that covid&#8217;s reached the UK, what&#8217;s happening in Fictiontown?<\/p>\n<p>Like every other year, you can count up how many people&#8217;s deaths were registered in April 2020.<\/p>\n<p>If the total came out about 100, you can be pretty sure covid hasn&#8217;t had a big effect in your town &#8211; because that&#8217;s about the number of deaths you&#8217;d expect in <em>any<\/em> average year.<\/p>\n<p>If the Fictiontown deaths in April were <strong>170<\/strong>, you&#8217;re gonna be like: uh\u00a0oh! <em>Something<\/em> is going on.<\/p>\n<p>You can do the sum. 170 deaths overall, take away 100 you were expecting in an average April: you\u00a0know you&#8217;ve got about <strong>70<\/strong> deaths you weren&#8217;t expecting.<\/p>\n<p>That&#8217;s what they call the &#8220;excess&#8221;: <strong>deaths that wouldn&#8217;t normally have happened at that time<\/strong>.<\/p>\n<h3><a name=\"deaths-for-other-reasons\"><\/a> Deaths for other reasons<\/h3>\n<p>It&#8217;s\u00a0important to realise, we <em>don&#8217;t<\/em> just jump to the conclusion that all those extra deaths are directly due to covid! There are other reasons that &#8220;excess deaths&#8221; can happen in an epidemic.<\/p>\n<p>For example, someone might have felt ill, and they might have <strong>put off going to hospital<\/strong>, thinking &#8220;a lot of people in the hospital right now have covid, and I don&#8217;t want to catch it&#8221;. Then they feel worse, and it turns out they had something that ought to have been treated quickly, and they die.<\/p>\n<p>Or let&#8217;s say that because of the combination of the epidemic itself and the emergency measures thrown together to handle it, someone was <strong>under a lot more stress than usual<\/strong> (maybe financial worries, or a friend dying), and died of a stress-related condition.<\/p>\n<p>Those are deaths which <em>are<\/em> indirectly due to the epidemic and how it&#8217;s being handled here, but aren&#8217;t someone dying <em>of<\/em> covid. It&#8217;s\u00a0kind of a &#8220;<strong>knock-on effect<\/strong>&#8220;.<\/p>\n<p>(To complicate things even further, it&#8217;s likely that some people <em>stayed alive<\/em> in this version of the world, who would&#8217;ve died if the epidemic hadn&#8217;t happened &#8211; e.g. people who would&#8217;ve died in a car crash if they&#8217;d gone to work that day, but instead had worked from home. And we don&#8217;t know <em>those<\/em> numbers for sure either. We can never be 100% sure of all the &#8220;maybes&#8221;.)<\/p>\n<p>When the epidemic got out of hand in the UK in April, lots of people with cancer had their <strong>treatment deferred<\/strong>. Some of those people will die in the next few years, who could&#8217;ve otherwise lived longer if their treatment had been done at the right time. So\u00a0we haven&#8217;t yet seen all of the &#8220;knock-on effect&#8221; deaths which have already been caused.<\/p>\n<p>(This type of &#8220;death by delay&#8221; also happens to an extent <em>without<\/em> covid, due to underfunding of the NHS. In\u00a0some countries, people with cancer get treated much quicker than here.)<\/p>\n<p>So\u00a0the &#8220;excess deaths&#8221; <em>doesn&#8217;t<\/em> tell you directly &#8220;This is how many people died of covid&#8221;. What it tells you is more like: <strong>overall, how is this area doing in coping with the situation<\/strong>.<\/p>\n<h3><a name=\"excess-deaths-isnt-very-wiggly\"><\/a>&#8220;Excess deaths&#8221; isn&#8217;t very wiggly<\/h3>\n<p>The\u00a0great <strong>advantage<\/strong> of the &#8220;excess deaths&#8221; measurement is <strong>how straightforward it\u00a0is<\/strong>. Stats people might call this kind of measurement &#8220;robust&#8221;.<\/p>\n<p>There are already UK laws that say every birth and every death must be &#8220;registered&#8221;. And\u00a0because that&#8217;s been true for so long, even the tricky questions have generally already been sorted out by years of tradition that you can just stick to.<sup><b><a class=\"footnote\" title=\"Side note on laws around deaths.\" href=\"#footnote.death-law-tradition\" name=\"death-law-tradition\">6<\/a><\/b><\/sup><\/p>\n<p>So\u00a0unless you&#8217;re going to do some fairly bold-faced cheating (like intentionally making up fake numbers), you <strong>can&#8217;t really fiddle\u00a0it<\/strong>.<\/p>\n<p>It&#8217;s\u00a0also a measure which is <strong>likely to be done the same in different countries<\/strong> &#8211; whereas different countries have come up with different rules about what counts as &#8220;a covid death&#8221;, and some have done much much more testing than others to find infections.<\/p>\n<p>(OK, it&#8217;s not <em>impossible<\/em> for countries to fail at tracking total deaths accurately &#8211; especially if there&#8217;s a war going on. But\u00a0in that case, they probably wouldn&#8217;t be able to track the other measurements either.)<\/p>\n<h2><a name=\"some-real-numbers-for-england\"><\/a>Some real numbers for England<\/h2>\n<p>Remember I said how the <strong>Office of National Statistics<\/strong> (ONS) keeps track of births and deaths? If you have a spreadsheet program, you can look for yourself at the <a href=\"https:\/\/www.ons.gov.uk\/peoplepopulationandcommunity\/birthsdeathsandmarriages\/deaths\/datasets\/monthlyfiguresondeathsregisteredbyareaofusualresidence\">numbers of deaths in the different towns and areas of England &amp; Wales<\/a>, month by month.<\/p>\n<p>To get a sense of the typical death numbers for April in England, I\u00a0looked back at the five spreadsheets from 2015 to 2019.<\/p>\n<p>Of those recent years in England, the <em>lowest<\/em> total of April deaths was a bit over 36\u00a0thousand, in\u00a02017. The\u00a0<em>highest<\/em> was nearly 44\u00a0thousand, when there was <a title=\"Article in the Independent about the Spring flu in 2016.\" href=\"https:\/\/www.independent.co.uk\/news\/uk\/home-news\/britain-hit-by-worst-spring-flu-outbreak-in-five-years-a6952456.html\">a\u00a0particularly bad Spring flu in\u00a02016<\/a>.<\/p>\n<p>So\u00a0if covid hadn&#8217;t come along, we&#8217;d have been expecting a number of April deaths in between those two numbers: that is, around 40\u00a0thousand, give or take a few thousand.<\/p>\n<p>As the &#8220;<strong>typical April in England<\/strong>&#8221; number to compare with, I&#8217;ll use the <em>average<\/em> of those five previous Aprils in a row, from 2015 to 2019.<sup><b><a class=\"footnote\" title=\"Details of the calculation here.\" href=\"#footnote.excess-deaths-april\" name=\"excess-deaths-april\">7<\/a><\/b><\/sup><\/p>\n<p>(There&#8217;s a tradition that when you&#8217;re going to do a comparison like this, you look back over 5 years, not just <em>one<\/em> earlier year &#8211; because it goes up and down a bit <em>every<\/em> year. If you just took 2019 as a supposedly &#8220;typical&#8221; year to compare with, you don&#8217;t want to find out later that 2019 was actually an odd one out itself. That&#8217;s why I&#8217;m working out the average of 5. The\u00a0details are in that previous footnote.)<\/p>\n<p>That 5-year average is about <strong>41,400<\/strong> deaths.<\/p>\n<p>At the moment,<sup><b><a class=\"footnote\" title=\"The\u00a0ONS confirm each year's exact numbers after the end of the year.\" href=\"#footnote.at-the-moment\" name=\"at-the-moment\">8<\/a><\/b><\/sup> the <strong>England deaths for April <em>this<\/em> year <\/strong> add up to about <strong>83,500<\/strong>.<\/p>\n<p>To get the &#8220;excess deaths&#8221; for the month, we look at this year&#8217;s total, 83,500, then take away the amount we&#8217;d normally expect, 41,400. The\u00a0result is: <strong>42,100<\/strong>.<\/p>\n<p>That is, in England in April, we had about 42\u00a0thousand deaths we weren&#8217;t expecting, alongside the similar number which we <em>were<\/em> expecting. It\u00a0works out about twice as many deaths as would&#8217;ve typically happened in recent years.<\/p>\n<h3><a name=\"what-were-those-other-deaths\"><\/a> What were those other deaths?<\/h3>\n<p>As I said above, we can&#8217;t just assume that all those extra, unexpected deaths were people dying of covid. I\u00a0was wondering myself about this, and looking out for info. Aside from the &#8220;officially covid&#8221; number, were they people who genuinely did die of something else? like a stress-related thing, or connected with not going to the hospital early enough when they felt ill? Or were they people who <em>did<\/em> have covid, but weren&#8217;t diagnosed?<\/p>\n<p><a title=\"Nick Stripe's Twitter page, with a bit of info about his ONS role.\" href=\"https:\/\/twitter.com\/NickStripe_ONS\">Nick Stripe<\/a>&#8216;s job is health analysis at the Office of National Statistics. On\u00a05\u00a0June, he did <a href=\"https:\/\/twitter.com\/NickStripe_ONS\/status\/1268823005305733125\">a thread analysing what we know about &#8220;excess deaths&#8221; in the UK<\/a>.<sup><b><a class=\"footnote\" title=\"Note on viewing Twitter threads.\" href=\"#footnote.viewing-twitter\" name=\"viewing-twitter\">9<\/a><\/b><\/sup><\/p>\n<p>Note that whereas <em>my<\/em> example was specifically <em>England<\/em>, he&#8217;s talking about the UK as a whole. And whereas my example was specifically <em>April<\/em>, he&#8217;s including a few extra weeks &#8211; from 7\u00a0March to 1\u00a0May. But\u00a0still, the puzzle to solve will be similar.<\/p>\n<p>Short version: they <strong>probably mostly were covid<\/strong>.<\/p>\n<p>(<a title=\"How many infections in an area\" href=\"#how-many-infections\">Skip ahead if that&#8217;s all you want to know about that<\/a>.)<\/p>\n<p>For anyone who&#8217;s interested, a bit more detail, based on points from Nick&#8217;s thread:<\/p>\n<div class=\"itemizedlist\">\n<ul type=\"disc\">\n<li>About three-quarters of those &#8220;excess deaths&#8221; match up with the known covid-related deaths in the same timespan. In\u00a0other words, we already have a reason for three-quarters of the unexpected ones. That leaves a quarter to think about.<\/li>\n<li>Of the remaining quarter, i.e. the ones which <em>weren&#8217;t<\/em> officially covid: about two-thirds were certified as connected with dementia, old age or frailty. The\u00a0dementia-related deaths in particular went up very quickly compared to the typical pattern:<br \/>\n<blockquote><p>Dementia increases are so sharp it\u2019s implausible that they are unrelated to COVID<\/p><\/blockquote>\n<p>How would those connect?<\/p>\n<div class=\"itemizedlist\">\n<ul type=\"circle\">\n<li>Some people may have had a &#8220;quiet&#8221; form of covid which nobody noticed:<br \/>\n<blockquote><p>Some evidence has been observed for atypical hypoxia in frail COVID patients \u2013 well preserved lungs but severely compromised pulmonary gas exchange without signs of respiratory distress<\/p><\/blockquote>\n<p>This refers to people who don&#8217;t <em>feel<\/em> breathless, and whose lungs would look pretty good if you scanned, but in reality they aren&#8217;t getting enough oxygen. (This can happen in younger people too, with covid or in high-altitude parachute jumping. You feel OK, and unless your oxygen level gets measured, no-one might realise how close you were to suddenly losing consciousness.)<sup><b><a class=\"footnote\" title=\"More on low oxygen levels.\" href=\"#footnote.low-oxygen\" name=\"low-oxygen\">10<\/a><\/b><\/sup><\/li>\n<li>In\u00a0the same tweet, he also points out,<br \/>\n<blockquote><p>People with dementia are more likely to have communication problems describing symptoms<\/p><\/blockquote>\n<p>Without the details of invisible symptoms (such as losing your sense of smell), maybe no-one realised it was covid.<\/li>\n<li>So\u00a0overall, it&#8217;s likely some of the &#8220;dementia&#8221; deaths could have been covid deaths that weren&#8217;t picked up on at the time.But\u00a0not necessarily all:<br \/>\n<blockquote><p>&#8230; we cannot discount the impact of changes to normal routines for vulnerable care home residents following lockdown. These could have had adverse consequences too<\/p><\/blockquote>\n<p>(Maybe someone always looked forward to the music session once a week, and because of covid that didn&#8217;t happen. Their mood dipped, they got less exercise, their overall health went down. Or maybe there was one particular carer who was particularly skilled at helping an elderly person with their food &#8211; and maybe while that carer was off sick with covid themself, the older person lost some weight, making them more vulnerable to some other health problem.)<\/li>\n<\/ul>\n<\/div>\n<\/li>\n<li>There were more deaths than usual of people with high blood pressure. Some could&#8217;ve been because of stress &#8211; and some could&#8217;ve been unrecognised covid deaths, because high blood pressure seems to be a risk factor for getting covid badly. From just looking at this one bit of information, we can&#8217;t tell what the connection was.<\/li>\n<li>In\u00a0areas where the officially-covid deaths were high, the other deaths were high as well. The\u00a0two things went together.It\u00a0seems to me this <em>could<\/em> be because more covid deaths in an area meant more disruption in the area (e.g. makes it more likely that someone didn&#8217;t get treatment for something else). But\u00a0it would also make sense that the &#8220;mystery deaths&#8221; went up alongside covid if they mostly <em>were<\/em> more covid.<\/li>\n<li>A point in favour of that interpretation is what then happened in May:<br \/>\n<blockquote><p>Note &#8211; excess deaths during May are so far all accounted for by COVID being mentioned on death certificates<\/p>\n<p>This may reflect improving knowledge of its complex effects, increased testing, and the fact that some earlier deaths will have been brought forward by COVID<\/p><\/blockquote>\n<p>In\u00a0other words, once we get into May, the &#8220;mystery&#8221; starts to disappear, and we see that the &#8220;unexpected for the time of year&#8221; deaths exactly match the &#8220;we know this many were covid&#8221; number.<\/li>\n<\/ul>\n<\/div>\n<p>Nick sums up:<\/p>\n<blockquote><p>The\u00a0balance of evidence so far points to undiagnosed COVID in the elderly being the most likely explanation for a majority of excess deaths that did not mention CV on certs<\/p>\n<p>This fits: demography, locations, esp where testing was sparse, causes of death &amp; timings of peaks<\/p><\/blockquote>\n<p><a href=\"https:\/\/www.ons.gov.uk\/peoplepopulationandcommunity\/birthsdeathsandmarriages\/deaths\/articles\/analysisofdeathregistrationsnotinvolvingcoronaviruscovid19englandandwales28december2019to1may2020\/technicalannex\">Here&#8217;s a much much much more detailed analysis of these stats, from the ONS web site<\/a>.<\/p>\n<p>To me, another bit of evidence pointing that way is how <a title=\"Learning to recognise it\" href=\"#learning-to-recognise-it\">doctors were learning<\/a> through the spring about the different ways that covid can &#8220;present&#8221;. If no-one realises that covid was a factor, then (unless there&#8217;s <em>routine<\/em> testing for the virus), it\u00a0won&#8217;t end up on the death certificate.<\/p>\n<p>So\u00a0&#8211; although we can&#8217;t be 100% sure &#8211; the overall picture suggests that the &#8220;puzzle&#8221; in March and April came mostly from <strong>fewer of the covid infections being recognised<\/strong>.<\/p>\n<p>This means that, even if individual cases don&#8217;t all get diagnosed accurately, for now we can make a pretty good guess of &#8220;covid deaths&#8221; by looking at &#8220;<strong>excess deaths<\/strong>&#8220;, and it <strong>won&#8217;t be too far off the true covid numbers<\/strong>.<\/p>\n<h3><a name=\"uk-excess-deaths\"><\/a>UK excess deaths<\/h3>\n<p>The\u00a0Financial Times (FT) has been <a href=\"https:\/\/www.ft.com\/content\/a26fbf7e-48f8-11ea-aeb3-955839e06441\">tracking &#8220;excess deaths&#8221; across the world<\/a>. By the time you look at the FT&#8217;s page, it\u00a0might have updated again &#8211; but at the time of writing this, its latest figure for the UK was for the year up till <strong>26\u00a0June<\/strong>, and they reckon the excess UK deaths up till that point stood at <strong>65,700<\/strong>.<\/p>\n<p>Because of the reasoning which Nick Stripe explains <a title=\"Link back to the previous section, in case you'd skipped it but now you're interested.\" href=\"#what-were-those-other-deaths\">(discussed above)<\/a>, we can guess those were <strong>probably mostly covid<\/strong>.<\/p>\n<p>(Jamie Jenkins, an independent statistician, has also been tracking UK death statistics, and <a href=\"https:\/\/twitter.com\/statsjamie\/status\/1276051845258055682\">he estimated<\/a> <strong>69,005<\/strong> excess deaths up till <strong>23\u00a0June<\/strong>. Not far different from the FT&#8217;s estimates, but a good example of how the experts don&#8217;t always agree. He discusses in his thread why it might be different. For now, I&#8217;ll go with the FT&#8217;s numbers, the lower set.)<\/p>\n<p>We can compare that with the number the <strong>Department of Health and Social Care<\/strong> counted for <strong>covid deaths in the UK up till 26\u00a0June<\/strong>. Their total &#8211; the one based on positive tests &#8211; was <strong>43,414<\/strong>.<\/p>\n<p>So that&#8217;s 65,700 estimated excess deaths, and the DHSC has 43,414 of them officially written down as covid. The\u00a0remainder is: 22,286 &#8211; about 22\u00a0thousand.<\/p>\n<p>In\u00a0other words, during the spring of 2020,<sup><b><a class=\"footnote\" title=\"Probably mostly during Feb, March and April.\" href=\"#footnote.feb-to-may-deaths\" name=\"feb-to-may-deaths\">11<\/a><\/b><\/sup> there were about <strong>22\u00a0thousand deaths<\/strong> which wouldn&#8217;t have happened in a typical spring but <em>weren&#8217;t<\/em> initially put down to covid. And <a title=\"Link back to the previous section, in case you'd skipped it but now you're interested.\" href=\"#what-were-those-other-deaths\">we can guess most of them probably <em>were<\/em> covid<\/a>, but didn&#8217;t get into the DHSC&#8217;s numbers.<\/p>\n<p>I don&#8217;t think it would be unreasonable to guess that pretty much <em>all<\/em> those 22\u00a0thousand were actually due to covid. But\u00a0if we want to be sure not to <em>over<\/em>estimate the covid death numbers, we could also speculate that 10% or so were really other things, and knock off a couple of thousand. Let&#8217;s say <strong>20\u00a0thousand<\/strong>.<\/p>\n<p>(Or, <strong>if you disagree<\/strong> with the reasoning and\/or the estimates, then you might want to adjust further. I\u00a0don&#8217;t think it makes sense to assume there would be <em>no<\/em> covid deaths missed, given the <a title=\"Learning to recognise it\" href=\"#learning-to-recognise-it\">learning curve that the doctors were on at the time<\/a>, and the shortage of tests.)<\/p>\n<h3><a name=\"the-extra-20-thousand-or-so\"><\/a>The extra 20 thousand or so<\/h3>\n<p>To recap, that <strong>20\u00a0thousand<\/strong> is an estimate of the <strong>covid deaths from the spring<\/strong> which were <strong>&#8220;missed&#8221; by the DHSC&#8217;s stats<\/strong>. I&#8217;ve calculated that based on three pieces of information from other people: (a) the &#8220;excess&#8221; deaths estimated by the Financial Times up till 26\u00a0June, (b) the DHSC&#8217;s official covid deaths number for the same time-frame, and (c) Nick Stripe&#8217;s analysis of why it makes sense to conclude that most or all of the other &#8220;unexpected&#8221; ones were also covid.<sup><b><a class=\"footnote\" title=\"Side note on another calculation I could've done myself.\" href=\"#footnote.taking-on-trust\" name=\"taking-on-trust\">12<\/a><\/b><\/sup><\/p>\n<p>(My working assumption is that almost all of these will be people who never got tested at all, either because nobody thought of it at the time, or because there weren&#8217;t enough tests available. It&#8217;s not impossible there could&#8217;ve been a few false negatives too &#8211; where the person did have the virus, did get tested, and the test didn&#8217;t pick it up.)<\/p>\n<p>So when you see the <a title=\"DHSC covid dashboard, at coronavirus.data.gov.uk.\" href=\"https:\/\/coronavirus.data.gov.uk\/\">DHSC &#8220;dashboard&#8221; numbers<\/a> going up (which of course they have done a bit more since then), it makes sense to <strong>add on about another 20\u00a0thousand<\/strong> to those &#8211; or whatever you estimate is the number who died of covid without being tested.<\/p>\n<p>For example, on 19\u00a0July, the DHSC&#8217;s total was 45,300. So we can estimate that it&#8217;s really more like 65,300. It&#8217;s only approximate anyway, so we may as well say <strong>65\u00a0thousand<\/strong>.<\/p>\n<p>The ONS&#8217;s stats will include some of the deaths which the DHSC count &#8220;missed&#8221;: where the person didn&#8217;t get tested, but the doctor worked out anyway that it likely was covid they had. The ONS stats will <em>also<\/em> have missed <em>some<\/em>. So if you happen to see one of their totals (the ones based on death certificates), bear in mind that&#8217;s not the full total either.<\/p>\n<h3><a name=\"would-some-of-the-people-have-died-by-now-anyway\"><\/a>Would some of the people have died by now anyway?<\/h3>\n<p>Everyone dies eventually!<\/p>\n<p>&#8220;<strong>Life expectancy<\/strong>&#8221; is basically &#8220;how long an average person like you could expect to live, with reasonable luck&#8221;.<\/p>\n<p>Typically it&#8217;ll be based on your age, sex and health conditions, and what&#8217;s happened in the past to people in the same categories.<\/p>\n<p>The ONS has a simple <a href=\"https:\/\/www.ons.gov.uk\/peoplepopulationandcommunity\/healthandsocialcare\/healthandlifeexpectancies\/articles\/lifeexpectancycalculator\/2019-06-07\">life expectancy calculator<\/a> which anyone can try. By\u00a0&#8220;simple&#8221;, I\u00a0mean that it doesn&#8217;t take into account your health or habits at all &#8211; it&#8217;s based purely on what age you are now, and male or female.<\/p>\n<p>For example, it says a man in the UK who&#8217;s made it to the age of <strong>70<\/strong> would have an <strong>average life expectancy<\/strong> of <strong>86<\/strong>. That&#8217;s only the <em>average<\/em>, so that same category includes all the 70-year-old men about to die now <em>and<\/em> the ones who&#8217;ll live to be 90 or 100.<\/p>\n<p>Life insurance companies are <em>always<\/em> dealing with this kind of stuff. There&#8217;s a kind of life assurance where you pay in a bit every month while you&#8217;re alive, and there&#8217;s a payout to someone else when you die. Every time they give someone a quote, they&#8217;re like &#8220;OK, let&#8217;s see&#8230; woman of 35, she smokes, otherwise in good health so far, she&#8217;ll probably live X many years&#8221;.<\/p>\n<p>Then if they think they&#8217;ve got years and years to make money off you, they give you a low quote per month, and if they think you&#8217;re going to die pretty soon, they give you a high quote.<\/p>\n<p>In those business calculations, they use wayyyy more details than the little online calculator linked above &#8211; if you&#8217;re signing up for life assurance, any health condition you&#8217;ve ever had will probably have to go on their form.<\/p>\n<p>Even with every single detail, it doesn&#8217;t mean their forecast will be correct about <em>any particular person<\/em>. They only have to be right &#8220;on average&#8221; to make money.<\/p>\n<p>So, anyway, people and companies in that sort of business have lots of incentive to know loads about when everyone&#8217;s likely to die. And this is the sort of data which can also be used to estimate how many years of life have been lost to covid.<\/p>\n<p>I&#8217;m not saying it&#8217;s <em>quick<\/em> to work that stuff out. It&#8217;s quite complicated. You have to categorise the people who died, and compare their life expectancy with the average for people with comparable health conditions. And there&#8217;s hundreds or thousands of categories, combining all the possible ages and health conditions! But people do know how to do it.<\/p>\n<p><a href=\"https:\/\/twitter.com\/statsjamie\/status\/1280915623447539712\">Jamie Jenkins has done some sums around that<\/a>. As of 7\u00a0July, he&#8217;d estimated that 300 to 350 people who died of covid earlier in the year would&#8217;ve died by now anyway, even if covid hadn&#8217;t come along.<\/p>\n<h2><a name=\"time-lag-in-measuring\"><\/a> Time-lag in measuring<\/h2>\n<p>Here we get to one of the trickiest things about tracking the epidemic: the delays before you find stuff out.<\/p>\n<p>When someone gets symptoms from covid, <strong>typically the symptoms would start about 5 days into the infection<\/strong>, a day or two after the person became infectious to others. Symptoms <em>can<\/em> start as quickly as 2 days in; it&#8217;s usually within a fortnight.<sup><a class=\"footnote\" title=\"Reference for how long it takes to show symptoms.\" href=\"#footnote.symptom-delay\" name=\"symptom-delay\">13<\/a><\/sup><\/p>\n<p>(Not everyone who gets the virus ever notices any symptoms; some people just catch it and get over it, without realising. The\u00a0virus might still do things to their body that they weren&#8217;t aware of.<sup><b><a class=\"footnote\" title=\"E.g. lung damage.\" href=\"#footnote.asymptomatic-lung-damage\" name=\"asymptomatic-lung-damage\">14<\/a><\/b><\/sup> I&#8217;m not sure where the research stands on whether people can be infectious if they <em>never<\/em> have symptoms; you can definitely be infectious <em>before<\/em> you have symptoms.)<\/p>\n<p>When people <em>die<\/em> of covid, that would be later still: typically <strong>around 15 to 22 days after symptoms start<\/strong>, though it could be shorter or longer.<sup><a class=\"footnote\" title=\"More on the typical timescale of the illness.\" href=\"#footnote.timespan\" name=\"timespan\">15<\/a><\/sup><\/p>\n<p>This adds up to mean that if someone dies of covid today, they probably caught it around three weeks ago, maybe more, maybe less.<\/p>\n<p>So\u00a0when we look at the numbers for &#8220;<strong>deaths which happened this week<\/strong>&#8220;, that&#8217;s not telling us much about the infections happening <em>today<\/em>. A\u00a0death today is telling us something about the <strong>infections happening back a few weeks ago<\/strong>, when that person originally caught the virus.<\/p>\n<p>Likewise, if\u00a0someone gets a <strong>positive test result<\/strong> today, that might be from an infection <strong>a few days ago, or last week, or the week before<\/strong> &#8211; depending on how fast they got tested and how fast the result comes back. (You might get tested even <em>before<\/em> you&#8217;d had symptoms, e.g. because someone close to you had tested positive, or as part of some research that chooses people randomly to be tested. On the other hand, some people get as far as being quite ill and going into hospital before they get tested.)<\/p>\n<p>(By the way, <strong>a positive test result doesn&#8217;t necessarily mean you&#8217;re still infectious to other people<\/strong>. Research is still happening about how long people typically stay infectious to others, but a study in Taiwan suggested probably mostly not after Day 5 of symptoms.<sup><b><a class=\"footnote\" title=\"Reference, and a bit more about the Taiwan research.\" href=\"#footnote.how-long-infectious\" name=\"how-long-infectious\">16<\/a><\/b><\/sup> You might even be over the illness yourself and still test positive: the &#8220;have you got it now&#8221; type of test looks for bits of virus, and there might be some inactive remnants of virus in your body while your immune system is &#8220;tidying up&#8221; at the end of an infection.)<\/p>\n<p>Ideally, we&#8217;d have quick testing of anyone who&#8217;d been near an infected person. If people can get their test results back the same day &#8211; maybe even before they show any symptoms &#8211; then that gives a better picture of what&#8217;s going on right now, and a better chance of reaching people before they infect anyone else.<\/p>\n<p>As it is, though, most of the measurements we have are a bit like &#8220;looking in the rear-view mirror&#8221;.<\/p>\n<h2><a name=\"how-many-infections\"><\/a> How many infections in an area<\/h2>\n<p>Like I said, &#8220;excess deaths&#8221; is a pretty solid kind of number. People are either alive or dead, and outside of war zones, it\u00a0would be rare for more than a handful of deaths to go unnoticed.<\/p>\n<p>The\u00a0question of &#8220;how many infections&#8221; is much harder to be certain of, because it&#8217;s so <strong>easy <em>not<\/em> to know about some of the infected people<\/strong>.<\/p>\n<p>In\u00a0a country or area that&#8217;s &#8220;on top of things&#8221;, they <em>will<\/em> know almost exactly how many people currently have the virus. As soon as someone reports symptoms or tests positive, a contact tracer person has a chat with them, then reaches out to all the people they&#8217;ve been close to recently. Soon, most of those <em>other<\/em> people have been tested, and if they test positive, that&#8217;s one more person on the &#8220;case numbers&#8221; count. And they&#8217;ll all be supported to stay in isolation till they&#8217;re not infectious any more.<\/p>\n<p>However, if\u00a0an area (like England at the moment) doesn&#8217;t have a reliable system for testing and tracing, its &#8220;case numbers&#8221; might miss out lots of people:<\/p>\n<div class=\"itemizedlist\">\n<ul type=\"disc\">\n<li>the ones who only just caught the virus, and don&#8217;t have any symptoms yet.<\/li>\n<li>the ones who have symptoms, but wrongly think their symptoms are something else.<\/li>\n<li>the ones who <em>think<\/em> they have covid, but haven&#8217;t yet been able to get a test.<\/li>\n<li>anyone who gets over the virus without even <em>having<\/em> noticeable symptoms.<\/li>\n<\/ul>\n<\/div>\n<p>That could be a lot of people!<\/p>\n<h2><a name=\"infections-in-the-uk\"><\/a>Infections in the UK<\/h2>\n<p>Back in March, a team led by Prof Tim Spector of King\u2019s College London launched the <a href=\"https:\/\/covid.joinzoe.com\/\">COVID-19 Symptom Study<\/a>. They made an app which is available on <a href=\"https:\/\/apps.apple.com\/gb\/app\/covid-symptom-tracker\/id1503529611\">iPhone<\/a> or <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.joinzoe.covid_zoe\">Android<\/a>, which invites people to input what symptoms they&#8217;re having each day (if any). People also input the test result if they go for a test. About 3\u00a0million people in the UK are taking part. Then the researchers have been analysing what people said about their test results, symptoms etc.<\/p>\n<p>If you want an estimate of current covid cases in the UK, or up-to-date info on what symptoms are common, this project is the best source I&#8217;ve seen so far. Advantages:<\/p>\n<div class=\"itemizedlist\">\n<ul type=\"disc\">\n<li>they&#8217;re getting their info very quickly, because it&#8217;s based on people putting things directly into the app, the very day they notice a symptom.<\/li>\n<li>a <em>lot<\/em> of people are taking part.<\/li>\n<\/ul>\n<\/div>\n<p>The\u00a0main limitations are:<\/p>\n<div class=\"itemizedlist\">\n<ul type=\"disc\">\n<li>they only report on the age range 20 to 69, due to insufficient data coming in from younger and older people.<\/li>\n<li>they don&#8217;t know about infections with no symptoms.<\/li>\n<\/ul>\n<\/div>\n<p><a href=\"https:\/\/covid.joinzoe.com\/data\">Here&#8217;s the page which shows their estimates of UK cases, changing every day<\/a>.<\/p>\n<p>Today, 19\u00a0July, they estimate there are <strong>28,368<\/strong> people in the UK with symptomatic COVID, in the age range 20-69, <strong>not including people in care homes<\/strong>. (And note that they said &#8220;symptomatic&#8221;, so this number also <strong><em>doesn&#8217;t<\/em> include<\/strong> people who have the virus <strong>without symptoms<\/strong>.)<\/p>\n<p>That number also <em>doesn&#8217;t<\/em> include the people who are experiencing the long-term aftermath of the virus: &#8220;<strong>long covid<\/strong>&#8220;, as it&#8217;s sometimes called.<sup><b><a class=\"footnote\" title=\"Source, and a bit more about &quot;long covid&quot;.\" href=\"#footnote.long-covid\" name=\"long-covid\">17<\/a><\/b><\/sup><\/p>\n<p>Separate from that, the Office of National Statistics runs the <a href=\"https:\/\/www.ons.gov.uk\/peoplepopulationandcommunity\/healthandsocialcare\/conditionsanddiseases\/bulletins\/coronaviruscovid19infectionsurveypilot\/england17july2020\">COVID-19 Infection Survey<\/a>. They invited some thousands of households to take part, by doing the &#8220;swab tests&#8221; at home and sending them in. Because it takes time to send in the tests and have them processed, the estimates from this have more of a time lag than the Symptom Study. On the other hand, <em>unlike<\/em> the Symptom Study, this one will be detecting infections in people who don&#8217;t have any symptoms.<\/p>\n<p>Meanwhile, separately again, the <a href=\"https:\/\/coronavirus.data.gov.uk\/\">UK government&#8217;s official tracker page for covid deaths and infections<\/a> describes its infection count (running total 294,792 on 19\u00a0July) as \u201c<span class=\"quote\">lab-confirmed UK cases<\/span>\u201d, or \u201c<span class=\"quote\">Total number of people who have had a positive test result<\/span>\u201d. If you didn&#8217;t have a test, you won&#8217;t be counted in that number.<\/p>\n<p>So\u00a0when you see the total for &#8220;case numbers&#8221; on the gov.uk &#8220;dashboard&#8221;, the key thing to keep in mind is: That isn&#8217;t a measure of how many cases there <em>are<\/em>. It&#8217;s\u00a0a measure of how many cases they <em>know<\/em> about.<\/p>\n<p>That brings me to&#8230;<\/p>\n<h2><a name=\"what-do-we-want-these-numbers-for\"><\/a>What do we want these numbers for?<\/h2>\n<p>One of the reasons we want these numbers is so we can see what&#8217;s happening near to us: how risky is it now? are things getting better or worse?<\/p>\n<p>Ideally we&#8217;d have all the numbers in quite fine detail, and linked to areas and groups. When you&#8217;re deciding what to do about things like <strong>reopening shops or caf\u00e9s<\/strong>, what makes sense in <em>one<\/em> area might not be what makes sense in <em>another<\/em>.<\/p>\n<p>(In\u00a0some countries, you can see that data right down to individual streets. Has someone in the area had the virus recently? Maybe you want to walk down a different street instead.)<\/p>\n<h2><a name=\"comparisons\"><\/a>Comparisons<\/h2>\n<p>Another thing people often want to do with these stats is to make comparisons.<\/p>\n<p>Sometimes of course this is just &#8220;yay, my country is doing well&#8221; type stuff. But\u00a0it also has some much more practical uses.<\/p>\n<p>One is: when two different areas are facing a similar challenge, and we see that one area has done much better than another, it\u00a0shows us that there might be something to learn from the successful place. <strong>What did people there do, that worked well, that we could perhaps copy or adapt?<\/strong><\/p>\n<p>Another is: <strong>by tracking how the numbers change, we&#8217;re also learning about the virus itself<\/strong>. How infectious is it? What are the environments where it&#8217;s most likely to spread? What helps to protect you? If someone gets it, how likely is it they&#8217;ll have an easy time, versus how likely they&#8217;ll get badly ill or die?<\/p>\n<h3><a name=\"fair-comparison\"><\/a>Fair comparison<\/h3>\n<p>When comparing how different areas are coping, it\u00a0makes sense to bear in mind how places can differ from each other. For example:<\/p>\n<div class=\"itemizedlist\">\n<ul type=\"disc\">\n<li>people in towns tend to <strong>live closer together<\/strong> than people in rural areas, may have worse <strong>air quality<\/strong>, and may be more likely to use <strong>public transport<\/strong>.<\/li>\n<li>many office workers can <strong>work from home<\/strong>, whereas families or communities who rely on earnings from retail, delivery, manufacturing, construction, tourism etc might be under <strong>financial pressure<\/strong> to take more risks.<\/li>\n<li>the <strong>climate<\/strong> could play a role, e.g. if people spend more time <strong>outside<\/strong> (where there&#8217;s a breeze <a title=\"Useful article on what's risky and what's less risky, as far as was known in May.\" href=\"https:\/\/www.erinbromage.com\/post\/the-risks-know-them-avoid-them\">helping to disperse any virus in the air<\/a>), or if the virus becomes unviable more quickly at different temperatures.<sup><b><a class=\"footnote\" title=\"Link to an article about that.\" href=\"#footnote.temperatures\" name=\"temperatures\">18<\/a><\/b><\/sup><\/li>\n<li>in some countries there are more <strong>older people<\/strong>.<\/li>\n<li>in some areas or traditions, multiple generations of a family would typically <strong>live together<\/strong>, whereas in others, grandparents are likely to have separate houses.<\/li>\n<\/ul>\n<\/div>\n<p>But\u00a0one of the most obvious differences is of course the <strong>number of people<\/strong> in each place.<\/p>\n<h3><a name=\"taking-into-account-the-size-of-population\"><\/a> Taking into account the size of population<\/h3>\n<p>If you&#8217;re going to say, for example, &#8220;the US had more deaths than Hong Kong&#8221;, you have to take into account that the US is an enormous place with an enormous number of people in it, whereas Hong Kong is relatively small.<\/p>\n<p>With <em>all<\/em> these numbers you might be tracking, if\u00a0you want to look at how one place is doing compared to another, you&#8217;ll want to <strong>take into account how many people live there overall<\/strong>. (You might see this referred to as &#8220;adjusting for population&#8221;, or a &#8220;per capita&#8221; number.)<\/p>\n<p>So\u00a0for example, instead of just saying &#8220;1\u00a0person died&#8221;, you might say &#8220;Out of 100 people, 1\u00a0died&#8221;.<\/p>\n<p>By this method, instead of comparing all the deaths in a <em>big<\/em> country with all the deaths in a <em>small<\/em> one, you can compare a same-size chunk of the people.<\/p>\n<p>To compare covid death rates between countries, they&#8217;re often worked out in terms of &#8220;excess deaths per million&#8221;. That takes one of the most reliable, non-fiddleable measures, and makes it fairer between countries of different sizes.<\/p>\n<p>(It\u00a0still might not be a <em>completely<\/em> fair reflection of how a particular government&#8217;s done at coping with the epidemic, because of other factors I namechecked above, like some countries having more older people.)<sup><b><a class=\"footnote\" title=\"A note on z-scores\" href=\"#footnote.z-scores\" name=\"z-scores\">19<\/a><\/b><\/sup><\/p>\n<p>So\u00a0let&#8217;s look at that next.<\/p>\n<h2><a name=\"excess-deaths-per-million-people-in-the-population\"><\/a>&#8220;Excess deaths&#8221; per million people in the population<\/h2>\n<p>For this example, I&#8217;ll go back to the UK as a whole, and the epidemic as a whole.<\/p>\n<p>As of mid-2019, the <strong>UK population<\/strong> was estimated at <a href=\"https:\/\/www.ons.gov.uk\/peoplepopulationandcommunity\/populationandmigration\/populationestimates\/bulletins\/annualmidyearpopulationestimates\/mid2019\">66,796,807<\/a>. In\u00a0recent years, typically it&#8217;ll grow a bit rather than shrink, so let&#8217;s say now it&#8217;s probably about <strong>67 million<\/strong>.<sup><b><a class=\"footnote\" title=\"A note on UK population sources.\" href=\"#footnote.uk-population\" name=\"uk-population\">20<\/a><\/b><\/sup><\/p>\n<p>So\u00a0that&#8217;s: 65,000 extra deaths, in a population of about 67 million people. That works out as about <strong>970 deaths per million people<\/strong> who live here.<\/p>\n<p>When other people have worked out the same sum, I&#8217;ve also seen it come out slightly differently. Most likely that&#8217;s because they used either a different estimate of the extra deaths, or a different estimate of the population, or both.<\/p>\n<p><a href=\"https:\/\/www.ft.com\/content\/6b4c784e-c259-4ca4-9a82-648ffde71bf0\">Here&#8217;s a Financial Times article comparing excess deaths per million across Europe at the end of May<\/a>. They estimated the UK&#8217;s number as: <strong>891\u00a0deaths per million people<\/strong>.<sup><b><a class=\"footnote\" title=\"More on that article, etc.\" href=\"#footnote.much-worse\" name=\"much-worse\">21<\/a><\/b><\/sup><\/p>\n<p>If we take instead the DHSC&#8217;s <em>official<\/em> number of covid-related deaths, that gives only 676 deaths per million up till 19\u00a0July.<sup><b><a class=\"footnote\" title=\"The\u00a0sum: 45,300 over 67 million.\" href=\"#footnote.official-deaths-per-million\" name=\"official-deaths-per-million\">22<\/a><\/b><\/sup> But\u00a0that would only be accurate if <em>no<\/em> covid deaths were missed in the early stages, which seems to me unlikely.<\/p>\n<p>For comparison, Denmark has had 611 known covid deaths in total (not per million) so far, and Greece has had 194.<sup><b><a class=\"footnote\" title=\"From Worldometers.\" href=\"#footnote.denmark-greece\" name=\"denmark-greece\">23<\/a><\/b><\/sup><\/p>\n<h2><a name=\"how-many-people-had-it-already\"><\/a>How many people had it already?<\/h2>\n<p>There have been rumours that the virus has been very widespread already &#8211; that lots of people had it without symptoms, so that perhaps a quarter of people or half of people across England (or the whole world) are immune by now.<\/p>\n<p>It&#8217;s\u00a0important to understand that <strong>immunity<\/strong> is still something we don&#8217;t know much about. <strong>Even if someone <em>has<\/em> had the virus once, it\u00a0doesn&#8217;t necessarily mean they can&#8217;t get it again.<\/strong><\/p>\n<p>(At the moment, it&#8217;s looking fairly likely that having the virus once gives you immunity for some weeks or months, and <em>eventually<\/em> you&#8217;d be able to catch it again. But\u00a0that&#8217;s only a guess of how it <em>could<\/em> play out, based on comparing it with similar viruses. We really really don&#8217;t know yet.)<\/p>\n<p>But\u00a0even if catching the virus <em>doesn&#8217;t<\/em> equate to being immune afterwards, it\u00a0would still be useful to know how many people have already caught it.<\/p>\n<p>So\u00a0then the question is: <strong>how can we tell<\/strong> who&#8217;s had it &amp; who hasn&#8217;t?<\/p>\n<h3><a name=\"how-can-we-tell-whos-had-it\"><\/a>How can we tell who&#8217;s had it?<\/h3>\n<p>For this question, it\u00a0wouldn&#8217;t be any good to look for the virus itself in your body &#8211; because once you&#8217;ve got better, the virus would be gone.<\/p>\n<p>What you <em>can<\/em> do is look at the state of someone&#8217;s <strong>immune system<\/strong>. Your immune system responds to the virus in ways that can be detected afterwards.<\/p>\n<p>For example, you might have <strong>antibodies<\/strong> which are specific to a particular virus. An antibody is a tiny bit of your immune system<sup><b><a class=\"footnote\" title=\"Technically it's a protein (not a cell).\" href=\"#footnote.antibody\" name=\"antibody\">24<\/a><\/b><\/sup> which recognises a virus it&#8217;s &#8220;seen&#8221; before.<\/p>\n<p>And researchers have already developed <strong>tests for antibodies<\/strong> that &#8220;match&#8221; SARS-CoV-2, the virus that causes covid. Yay!<\/p>\n<p>It&#8217;s\u00a0not quite as simple as &#8220;whoever has the antibodies, that&#8217;s the people who&#8217;ve had the virus&#8221;. For one thing, the antibodies sort of &#8220;fade away&#8221; after a few months.<\/p>\n<p>(Your body might still remember how to <em>make<\/em> the antibodies again, if\u00a0they were needed. So\u00a0when the levels go down, it\u00a0doesn&#8217;t necessarily mean you&#8217;ve <em>lost immunity<\/em> that soon. It\u00a0just means that &#8220;have I got covid antibodies right now&#8221; isn&#8217;t a guaranteed method for finding out &#8220;have I had covid already&#8221;.)<\/p>\n<p>And researchers have suggested that some people don&#8217;t make the antibodies at all, e.g. if other parts of their immune system handled the virus quickly. More on that in a bit.<\/p>\n<p>But\u00a0even though the antibodies aren&#8217;t a perfect marker for who&#8217;s had the illness&#8230; do we know how many people <em>have<\/em> them?<\/p>\n<p>The\u00a0answer is&#8230; we do know <em>something<\/em> about that.<\/p>\n<h3><a name=\"antibodies-in-spain\"><\/a>Antibodies in Spain<\/h3>\n<p>So\u00a0far, the biggest lot of testing of who had the covid antibodies was in Spain, over two weeks in April-to-May of 2020.<\/p>\n<p>Spain is one of the European countries initially hardest hit by the virus, <a href=\"https:\/\/www.ft.com\/content\/6b4c784e-c259-4ca4-9a82-648ffde71bf0\">similar to Italy and England<\/a>.<\/p>\n<p>Between 27 April and 11\u00a0May, researchers took blood samples from sixty\u00a0thousand people across Spain, being sure to include rural areas as well as towns.<sup><b><a class=\"footnote\" title=\"More details on the Spanish research.\" href=\"#footnote.spanish-research-details\" name=\"spanish-research-details\">25<\/a><\/b><\/sup><\/p>\n<p>From this, they could work out that <strong>in Spain overall<\/strong>, at the time, probably about <strong>5%<\/strong> of people had antibodies which are specific to SARS-CoV-2, the virus for covid. That is, <strong> for every 1\u00a0person who <em>did<\/em> have the antibodies, another 19 <em>didn&#8217;t<\/em><\/strong>.<\/p>\n<p>In\u00a0parts of the country where lots of people had died, it\u00a0was higher: of every <strong>20<\/strong> people, about <strong>3<\/strong> showed the covid-specific antibodies, 17 didn&#8217;t.<\/p>\n<p>Remember, that <em>doesn&#8217;t<\/em> mean you can just go &#8220;Only 5% of people in Spain had the virus!&#8221; When the Spain antibody research first came out, a lot of people thought it <em>did<\/em> mean that, so you might have seen newspapers reporting it along those lines. But\u00a0no. It\u00a0was &#8220;Probably only about 5% of people in Spain had the <em>antibodies<\/em>&#8220;, which is not the same thing.<\/p>\n<h3><a name=\"testing-for-t-cells\"><\/a>Testing for T\u00a0cells<\/h3>\n<p>So\u00a0if some people didn&#8217;t have the antibodies&#8230; how do we know they ever had the virus?<\/p>\n<p>&#8220;<strong>T\u00a0cells<\/strong>&#8221; are another bit of your immune system, which also help to eradicate viruses.<\/p>\n<p>Compared to finding if someone&#8217;s got particular antibodies, it&#8217;s more of a faff to see if they&#8217;ve got particular T\u00a0cells. But\u00a0it can be done.<\/p>\n<p>Some researchers in France looked at families where <em>one<\/em> person definitely had covid back in March, and <em>another<\/em> person was exposed. The\u00a0first person was called the \u201c<span class=\"quote\">index patient<\/span>\u201d; the other person in their family was called the \u201c<span class=\"quote\">contact<\/span>\u201d.<\/p>\n<p>In\u00a0May, they tested the &#8220;index patients&#8221; and the &#8220;contacts&#8221;. For all the &#8220;index patients&#8221;, the researchers could see covid-specific antibodies <em>and<\/em> covid-specific T\u00a0cells &#8211; not very surprising.<\/p>\n<p>What was interesting was what they saw with the eight &#8220;contacts&#8221;. They <strong>didn&#8217;t test positive for the covid-specific antibodies<\/strong>, but <strong>6 out of 8 <em>did<\/em> have the covid-specific T\u00a0cells<\/strong>.<sup><b><a class=\"footnote\" title=\"Reference, and another similar bit of research.\" href=\"#footnote.contacts-t-cells-no-antibodies\" name=\"contacts-t-cells-no-antibodies\">26<\/a><\/b><\/sup><\/p>\n<p>(The\u00a0researchers&#8217; commentary puts this down to them never having <em>had<\/em> the antibodies, but I&#8217;m not sure they&#8217;ve proved that, because their description says the blood samples were from May. Did anyone test the &#8220;contacts&#8221; earlier than that? Maybe at some time in between, they <em>would<\/em> have tested positive for the antibodies. But\u00a0whichever &#8211; the main point for what we&#8217;re talking about <em>here<\/em> is, it\u00a0was true a couple of months later.)<\/p>\n<p>In\u00a0other words, someone could encounter the virus, and their immune system responds and fends it off &#8211; yet, if\u00a0their body did what happened with those people in the research, they <strong><em>wouldn&#8217;t<\/em> be picked up by the tests used in Spain<\/strong>, which only looked for antibodies.<\/p>\n<p>What it shows is: if you want to know <strong>whose immune system has responded<\/strong> to the virus, you <strong>can&#8217;t only test for antibodies<\/strong> and expect to find everyone.<\/p>\n<p>It&#8217;s\u00a0worth remembering that <em>everyone&#8217;s<\/em> antibodies will probably &#8220;wear off&#8221; after some weeks. If they&#8217;d tested the same people a few months later, a lot of people who <em>had<\/em> had the antibodies wouldn&#8217;t any more &#8211; whereas most or all would still have the T\u00a0cells. (People who survived the first SARS in\u00a02003 still have T\u00a0cells specific to that, 17 years on.)<sup><b><a class=\"footnote\" title=\"More on T\u00a0cells from the first SARS.\" href=\"#footnote.t-cells-from-first-sars\" name=\"t-cells-from-first-sars\">27<\/a><\/b><\/sup><\/p>\n<p>So\u00a0the big question is&#8230; <strong>how many people in Spain, who tested negative for the antibodies, actually <em>had<\/em> encountered the virus?<\/strong> and tested negative because by the time of testing, their antibody response had quietened down again? (Or, if\u00a0the French researchers&#8217; idea is correct, they&#8217;d never made the antibodies in the first place? And there could also be a few people who actually still <em>had<\/em> some antibodies when the testing happened, but had tested negative due to the tests not being perfect.)<\/p>\n<p>More research required :-)<\/p>\n<p>It\u00a0would be great to do a big research project where thousands of people got tested for the T\u00a0cells as well as the antibodies, or make that an easily-available test. However, the limitation on that is the faff of the testing: the T\u00a0cell testing process is more bothersome and expensive than the antibodies one.<sup><b><a class=\"footnote\" title=\"More about T\u00a0cell testing.\" href=\"#footnote.t-cell-testing\" name=\"t-cell-testing\">28<\/a><\/b><\/sup> And most labs who could do the processing for <em>this<\/em> test are already extremely busy with other stuff, including tests that are more urgent. It\u00a0wouldn&#8217;t be easy to roll it out so everyone in the country could get their T\u00a0cells tested.<\/p>\n<p>However, there could be work-arounds. When we know more about<\/p>\n<div class=\"itemizedlist\">\n<ul type=\"disc\">\n<li>whether everyone who gets covid even makes the antibodies at all<\/li>\n<li>how soon they typically appear, and<\/li>\n<li>how soon they typically disappear<\/li>\n<\/ul>\n<\/div>\n<p>(which are all things that researchers are very very interested in at the moment!)<sup><b><a class=\"footnote\" title=\"More on timing of antibodies\" href=\"#footnote.antibody-timing\" name=\"antibody-timing\">29<\/a><\/b><\/sup><\/p>\n<p>&#8230; then we could go back to the Spanish research and do more sums and estimates.<\/p>\n<p><a href=\"https:\/\/blogs.sciencemag.org\/pipeline\/archives\/2020\/06\/22\/thoughts-on-antibody-persistence-and-the-pandemic\">Here&#8217;s a very good blog post which goes into more detail about all this area: antibodies, T\u00a0cells and so on<\/a>.<\/p>\n<p>Meanwhile&#8230;<\/p>\n<h3><a name=\"antibodies-in-the-uk\"><\/a>Antibodies in the UK<\/h3>\n<p>Some people from the Office of National Statistics have been researching how many people <em>in the UK<\/em> have the covid-specific antibodies. They didn&#8217;t test as many people as the Spanish research, which means the numbers might not be quite as accurate. But\u00a0what they found out suggests that in the <strong>UK<\/strong> in May, about 7%, or <strong>1\u00a0person in every 15<\/strong>, had the antibodies that match up with SARS-CoV-2, the covid virus.<sup><b><a class=\"footnote\" title=\"Source for the UK antibodies research, and a bit more about that.\" href=\"#footnote.uk-antibodies-research\" name=\"uk-antibodies-research\">30<\/a><\/b><\/sup><\/p>\n<p>That doesn&#8217;t mean it was the same proportion everywhere. For example, there have definitely been more cases than average in London &#8211; which would mean lower than average somewhere else.<\/p>\n<p>The\u00a0same cautions apply: that number doesn&#8217;t necessarily reflect everyone who&#8217;s had the virus, <em>and<\/em>, having the antibodies now doesn&#8217;t mean you can&#8217;t get the illness again.<\/p>\n<h2><a name=\"infection-fatality-rate\"><\/a> Infection Fatality Rate<\/h2>\n<p>Having talked about all <em>that<\/em>, we now come to one of the things there&#8217;s been the most argument over.<\/p>\n<p>Suppose 100 people get the virus. How many of them would typically die? That&#8217;s known as the &#8220;<strong>Infection Fatality Rate<\/strong>&#8220;, or &#8220;<strong>IFR<\/strong>&#8220;.<\/p>\n<p>(It&#8217;s\u00a0not the same as the &#8220;Case Fatality Rate&#8221;, or &#8220;CFR&#8221;, which is based on only the people who had symptoms. IFR includes people who got over it without realising they&#8217;d had it.)<\/p>\n<p>We don&#8217;t know!<\/p>\n<p>A lot of the uncertainty goes back to numbers already discussed above.<\/p>\n<div class=\"itemizedlist\">\n<ul type=\"disc\">\n<li>How many people have died of covid?<\/li>\n<li>How many people have been infected so far, including the ones who didn&#8217;t even realise?<\/li>\n<\/ul>\n<\/div>\n<p>To find out what proportion of people would generally die, you&#8217;d have to know both of those things. And we don&#8217;t definitively know either of them!<\/p>\n<p>An <strong>early guess<\/strong>, based on the numbers from China and Italy, was that <strong>of every 100 people who caught the virus, on average 1\u00a0would die<\/strong>.<\/p>\n<p>Some people said like: &#8220;naah, it&#8217;s much less risky than that &#8211; yes a lot of people have died, but you don&#8217;t realise how many people were infected &#8211; when you consider how many people had it without knowing, the number of people who died looks small.&#8221;<\/p>\n<p>However, from the research that&#8217;s been done so far, it\u00a0does look as though that initial guess of 1\u00a0in\u00a0100 was <em>about<\/em> right (for the current stage of knowledge about how to treat people). Could be 1\u00a0in\u00a0200.<\/p>\n<p>Let&#8217;s test it against the numbers already discussed.<\/p>\n<p>What if we do the sums while assuming it&#8217;s approximately right that in the UK, <strong>1\u00a0person in\u00a015<\/strong> has had the virus already? There&#8217;s about 67 million people in the UK, so 1\u00a0in\u00a015 would be about <strong>4.7 million<\/strong> people who&#8217;ve <strong>had it<\/strong> so far (many without realising). And we&#8217;ve already estimated that <strong>65\u00a0thousand<\/strong> people is probably about right for how many people <strong>died<\/strong> so far.<\/p>\n<p>That works out as: <strong>about every 72 UK people who had the infection, 1\u00a0of them died<\/strong>. (This can also be put as <strong>1.4%<\/strong>, one point four percent.)<sup><b><a class=\"footnote\" title=\"The sum.\" href=\"#footnote.ifr-uk-estimate-sum\" name=\"ifr-uk-estimate-sum\">31<\/a><\/b><\/sup><\/p>\n<p>Or what if we do the sums again, but this time assuming that some people weren&#8217;t found by the UK antibody research? <strong>Suppose, for every one person<\/strong> who <em>did<\/em> still have the antibodies, there was <strong>another person who&#8217;d had the virus<\/strong> who wasn&#8217;t picked up by that type of test.<\/p>\n<p>In\u00a0that case, about <strong>9.4 million<\/strong> people in the UK would&#8217;ve already had some level of covid infection, and the IFR would be more like <strong>0.7%<\/strong>: <strong>1\u00a0person dying in every 144<\/strong> infected.<\/p>\n<p>Remember, these possibilities are based on <strong>estimated<\/strong> numbers. They might not be spot-on.<\/p>\n<p>For comparison, <a href=\"https:\/\/medium.com\/@gidmk\/covid-19-is-far-more-lethal-than-influenza-69b6628e69f2\">here&#8217;s an explanation from epidemiologist blogger Gideon Meyerowitz-Katz<\/a>. He and a colleague <a href=\"https:\/\/www.medrxiv.org\/content\/10.1101\/2020.05.03.20089854v3\">reviewed a lot of other people&#8217;s research<\/a> about this same thing.<\/p>\n<p>They concluded that it looked as though the rate was about <strong>0.64%<\/strong> (nought point sixty-four per cent), which is <strong>1\u00a0person dying in about every 156 people infected<\/strong>. (But\u00a0they do add: \u201c<span class=\"quote\">&#8230;it is difficult to know if this represents the true point estimate. It\u00a0is likely that different places will experience different IFRs.<\/span>\u201d)<\/p>\n<p>So\u00a0I&#8217;m <em>not<\/em> going to say that 1\u00a0in\u00a072 is the definitive amount, or that 1\u00a0in\u00a0144 or 1\u00a0in\u00a0156 is the definitive amount. I&#8217;m going to say that yeah, based on what we know so far, <strong>1\u00a0in\u00a0100 probably isn&#8217;t far off<\/strong>.<\/p>\n<h3><a name=\"age-groups-and-the-infection-fatality-rate\"><\/a>Age groups and the Infection Fatality Rate<\/h3>\n<p>When they say \u201c<span class=\"quote\">different places will experience different IFRs<\/span>\u201d, part of what they&#8217;re talking about is how the age groups can be different sizes in different countries &#8211; e.g. some countries have more young people than others. (This is sometimes referred to as &#8220;age distribution&#8221;.) We know already that covid tends to hit older people harder. With an illness showing that pattern, aside from whatever you do with treatments, the countries with a lot of older people are always likely to have more people dying of it &#8211; simply because those countries have more of the people most vulnerable to the illness.<\/p>\n<p>In\u00a0other words: there won&#8217;t even <em>be<\/em> one definitive Infection Fatality Rate that applies everywhere across the world. What research <em>could<\/em> eventually find out is a set of IFRs which are typical for different age groups. And from there, you can work out an expected IFR for a particular country, based on its pattern of age groups.<\/p>\n<h2><a name=\"risks-reduce-as-doctors-learn-more\"><\/a>Risks reduce as doctors learn more<\/h2>\n<p>Of course, <strong>how risky it is<\/strong> to get the disease <strong>will change<\/strong> as doctors learn more about the disease, and about <strong>what drugs or other treatments are helpful<\/strong>. So, even if 1\u00a0in\u00a0100 is a reasonable estimate <em>for now<\/em>, while we don&#8217;t know much about treatments, that doesn&#8217;t necessarily mean it&#8217;ll be the same risk in a few years&#8217; time, or even a few months&#8217; time.<\/p>\n<p>For example, in April, <a title=\"CNN story interviewing some doctors.\" href=\"https:\/\/edition.cnn.com\/2020\/04\/14\/health\/coronavirus-prone-positioning\/index.html\">doctors were discussing which patients should be lying on their front, &amp; for how long, which can help with breathing difficulties<\/a>.<\/p>\n<p>In\u00a0May, <a href=\"https:\/\/www.bbc.co.uk\/news\/health-52754280\">a trial started of whether a drug called Interleukin\u00a07 will help people who have the illness badly<\/a>. Many other drug trials are in progress.<\/p>\n<p>In\u00a0June, there was a <a href=\"https:\/\/medicalxpress.com\/news\/2020-06-team-convalescent-plasma-safe-diverse.html\">report from a big study on the safety of giving sick people the antibodies from recovered people (via blood plasma donations)<\/a>.<\/p>\n<p>People who&#8217;d already died in March didn&#8217;t have the benefits of this developing knowledge.<\/p>\n<h2><a name=\"long-term-disabilities\"><\/a> Long-term disabilities<\/h2>\n<p>At the moment, we know even less about <strong>long-term disabilities<\/strong> as a result of covid illness. We know it <em>can<\/em> happen; we <strong>don&#8217;t know how likely<\/strong> it is.<\/p>\n<p>We know that complications of covid \u201c<span class=\"quote\">can include delirium, brain inflammation, stroke and nerve damage<\/span>\u201d.<sup><b><a class=\"footnote\" title=\"References &amp; more info about brain effects of covid.\" href=\"#footnote.brain-effects-references\" name=\"brain-effects-references\">32<\/a><\/b><\/sup> Usually, some people would recover completely from a stroke, and others not.<\/p>\n<p>We can make some guesses based on what other viruses do: for example, some of the people who lived through SARS in\u00a02003 still had lung damage years after the immediate illness.<sup><b><a class=\"footnote\" title=\"Source for SARS lung damage info.\" href=\"#footnote.sars-lung-damage\" name=\"sars-lung-damage\">33<\/a><\/b><\/sup><\/p>\n<p>We already know that many people who recover from covid have damaged lungs <em>at the time<\/em> &#8211; even some of the ones who hadn&#8217;t noticed any symptoms. But\u00a0obviously we can&#8217;t yet look at, for example, &#8220;how many people&#8217;s covid lung damage got completely better after a year&#8221;, because a year ago, nobody had had it yet!<\/p>\n<p>The\u00a0COVID Symptom Study is <a href=\"https:\/\/covid.joinzoe.com\/post\/covid-long-term\">tracking the question of how long the initial illness would typically last<\/a>:<\/p>\n<blockquote><p>Data from our COVID Symptom Study suggests that while most people recover from COVID-19 within two weeks, one in ten people may still have symptoms after three weeks, and some may suffer for months.<\/p><\/blockquote>\n<p>Ed Yong at The\u00a0Atlantic <a href=\"https:\/\/www.theatlantic.com\/health\/archive\/2020\/06\/covid-19-coronavirus-longterm-symptoms-months\/612679\/\">interviewed some of the &#8220;long-haulers&#8221;<\/a>, and described a crowd-sourced report from some of them (including previously-healthy people):<\/p>\n<blockquote><p>As many people reported \u201cbrain fogs\u201d and concentration challenges as coughs or fevers. Some have experienced hallucinations, delirium, short-term memory loss, or strange vibrating sensations when they touch surfaces. Others are likely having problems with their sympathetic nervous system, which controls unconscious processes like heartbeats and breathing: They\u2019ll be out of breath even when their oxygen level is normal, or experience what feel like heart attacks even though EKG readings and chest X-rays are clear.<\/p><\/blockquote>\n<p>(If some people <em>did<\/em> have a long-term fatigue syndrome after covid, it wouldn&#8217;t be surprising, because for a lot of people who have chronic fatigue, it seems to have been triggered by a viral infection of one type or another.)<\/p>\n<p>At the moment, there&#8217;s a lot of &#8220;wait and see&#8221;.<\/p>\n<h2><a name=\"the-r-number\"><\/a>The\u00a0&#8220;R&#8221; number<\/h2>\n<p>The\u00a0R number is to do with how likely the virus is to spread itself around. The\u00a0&#8220;R&#8221; stands for Reproduction, meaning the virus infecting new people with copies of itself. It&#8217;s never an <em>exact<\/em> number &#8211; it&#8217;s more of a shorthand for how things are going.<\/p>\n<p>(You might also see R<sub>t<\/sub> or R<sub>eff<\/sub> meaning the same thing.)<\/p>\n<p>Let&#8217;s say for example that Adrian infects Bell, and then Bell infects Caz, and then Caz infects Don. That would be: the <strong>R number is 1<\/strong>. Each <strong>1\u00a0infected person is infecting 1\u00a0other<\/strong>.<\/p>\n<p>What if it spread out to more people? Let&#8217;s say Adrian infects Bell, Becks and Bob. Then Bell infects Caz, Cal and Carol, while Becks infects Colin, Corin and Coral, and Bob infects Chuck, Chaz and Charlie. Then the <strong>R number is 3<\/strong> &#8211; each <strong>1\u00a0infected person is infecting 3 others<\/strong>.<\/p>\n<p>(This is what it was like at the start, back in February or March. The\u00a0R number in the UK then was probably not far off 3, so that as the days went along, the numbers of infected people went like 1 \u2192 3 \u2192 9 \u2192 27 \u2192 81 \u2192 243, or a bit more than that. You can see why the virus managed to turn into an epidemic.)<sup><b><a class=\"footnote\" title=\"More discussion of this number later.\" href=\"#footnote.r-number-and-iceland-data\" name=\"r-number-and-iceland-data\">34<\/a><\/b><\/sup><\/p>\n<p>The\u00a0R number being 3 wouldn&#8217;t have to mean that <em>every single person<\/em> infects <em>exactly 3 others<\/em>. It\u00a0might not be as neat as that. For example,<\/p>\n<div class=\"itemizedlist\">\n<ul type=\"disc\">\n<li>Maybe Becks happened to be at home in the few days she was most infectious. Maybe Bob did nip to the shop, but wasn&#8217;t there long, and wore a homemade mask to catch most of his germs. And because of these circumstances, neither of <em>them<\/em> ended up infecting <em>anyone<\/em>.<\/li>\n<li>Maybe Bell works somewhere busy, and infects <em>nine<\/em> other people before she starts to feel a bit rough and realises she&#8217;s got the virus.<\/li>\n<\/ul>\n<\/div>\n<p>But\u00a0even though it wasn&#8217;t exactly 3 per person, it\u00a0was still 9 people in that example who got infected in the &#8220;<strong>next round<\/strong>&#8221; of infections. It\u00a0went from 3 in one round, to 3&#215;3 in the next, so R would still be 3. For counting up R, it\u00a0doesn&#8217;t matter exactly <em>who<\/em> passed it on &#8211; it&#8217;s about how many people are infected overall, in the &#8220;next round&#8221;.<\/p>\n<p>(In\u00a0fact, that last example <em>is<\/em> more like what we&#8217;ve seen with covid, when researchers have tracked back who gave it to whom. Typically, it&#8217;ll turn out that some people had spread it to several others, whereas some for whatever reason hadn&#8217;t spread it at all.)<\/p>\n<p>It&#8217;s\u00a0worth noting that the R number is never all that precise, &amp; especially not if not many people are being tested, or the overall numbers are low.<sup><b><a class=\"footnote\" title=\"Link to a thread discussing some limitations of R numbers.\" href=\"#footnote.r-not-precise\" name=\"r-not-precise\">35<\/a><\/b><\/sup><\/p>\n<h3><a name=\"the-epidemic-growing-shrinking-or-staying-the-same-size\"><\/a>The\u00a0epidemic growing, shrinking or staying the same size<\/h3>\n<p><strong>When R is 1<\/strong>, we&#8217;re talking about an epidemic that <strong>isn&#8217;t <em>growing<\/em> &#8211; and it isn&#8217;t shrinking either<\/strong>. As one lot of people get over it (or die, or stay disabled), another lot have caught it, so that the overall number of infected people is holding steady.<\/p>\n<p>For example, if\u00a0you have 1,000 people already infected, and an R number of 1, in a few days&#8217; time you&#8217;ll have a <em>new<\/em> lot of 1,000 people infected. And a bit later, you&#8217;ll have <em>another<\/em> lot of 1,000 people infected. It\u00a0doesn&#8217;t actually end.<\/p>\n<p>When the R number is <strong><em>bigger<\/em> than 1<\/strong>, we&#8217;re talking about an epidemic that&#8217;s <strong>growing<\/strong>. The\u00a0bigger the number, the more it&#8217;s growing.<\/p>\n<p>When the R number is <strong><em>smaller<\/em> than 1<\/strong>, we&#8217;re talking about an epidemic that&#8217;s <strong>shrinking<\/strong>. The\u00a0smaller the number, the more it&#8217;s shrinking.<\/p>\n<h3><a name=\"pointy-symbols\"><\/a> Pointy maths symbols for bigger and smaller<\/h3>\n<p>When R is bigger than\u00a01, you might see this written down as &#8220;<strong>R&gt;1<\/strong>&#8220;. The\u00a0pointy thing is from maths. It&#8217;s\u00a0called &#8220;greater than&#8221;, so that statement is saying &#8220;R\u00a0is greater than\u00a01&#8221;.<\/p>\n<p>When R is smaller than 1, that one could be written down as &#8220;<strong>R&lt;1<\/strong>&#8220;. That way round, it&#8217;s called &#8220;less than&#8221;, and you&#8217;d read it out as &#8220;R\u00a0is less than\u00a01&#8221;.<\/p>\n<p>It&#8217;s\u00a0easy to remember which way round is which, because the little pointy side is always towards what you&#8217;re saying is the smaller number.<\/p>\n<h3><a name=\"growth-rate\"><\/a>Growth rate<\/h3>\n<p>R isn&#8217;t exactly the same as <em>how fast<\/em> the epidemic is spreading. How fast this all happens would also depend on the time lag between &#8220;rounds&#8221;. If Adrian catches it on Monday, starts to become infectious on Thursday, sees Bell on Saturday and gives it to her, that&#8217;s a <strong>time lag of 5 days<\/strong>, which would be typical for covid.<\/p>\n<p>For this reason, it\u00a0can also be useful to talk about the &#8220;<a href=\"https:\/\/plus.maths.org\/content\/epidemic-growth-rate\">growth rate<\/a>&#8221; of infections, which includes time. Typically it would be described as percent of increase or decrease per day.<\/p>\n<p>For example, let&#8217;s say on a Monday, 1,000 new people test positive. On Tuesday, it&#8217;s &#8220;only&#8221; 970 new people. You could describe that in terms of: minus three percent, -3%.<\/p>\n<p>(It\u00a0might sound odd that you still call it &#8220;growth&#8221; even if it&#8217;s shrinking. You&#8217;re describing the &#8220;shrinking&#8221; as &#8220;negative growth&#8221;, which is why it has the minus sign.)<\/p>\n<h3><a name=\"r-and-growth-can-change\"><\/a> R and growth can change<\/h3>\n<p>R partly depends on the nature of a particular disease &#8211; for example, how it travels from one person to another, or whether you need a big or small amount of virus to start the illness. For example, one of the reasons that measles is so infectious is that you only need a tiny bit of measles virus to kick\u00a0off the disease.<sup><b><a class=\"footnote\" title=\"A note on R-nought\" href=\"#footnote.r-nought\" name=\"r-nought\">36<\/a><\/b><\/sup><\/p>\n<p>Luckily for us, the spread of a virus also depends on <em>what people do<\/em>.<\/p>\n<p>That&#8217;s why we&#8217;ve tried out staying at home, meeting outdoors, keeping 2\u00a0metres apart, washing our hands, and\/or covering our mouths &amp; noses. Those are all to try to make it harder for the covid virus to jump to the next person. And it worked: fewer people got infected.<\/p>\n<h3><a name=\"r-can-be-different-in-different-areas\"><\/a>R can be different in different areas<\/h3>\n<p>You don&#8217;t have to only look at the R (or the growth) for a whole country. It&#8217;s\u00a0often useful to look at a particular area, or a particular type of place &#8211; if you can do enough testing and tracing to find out. And\u00a0in different places or situations, you might find different results.<\/p>\n<p>For example,<\/p>\n<div class=\"itemizedlist\">\n<ul type=\"disc\">\n<li>Sometimes the virus will spread more easily in a <strong>town<\/strong> (e.g. because of more people living closer together, or more people using public transport), and less in a rural area.<\/li>\n<li>There was a suggestion around May\/June that the virus had been spreading more within <strong>care homes<\/strong>, compared with the wider community.<\/li>\n<li><a href=\"https:\/\/www.gov.uk\/guidance\/the-r-number-in-the-uk#latest-r-number-ranges-for-devolved-administrations\">This page at www.gov.uk<\/a> shows differing estimates of R for the different &#8220;<strong>regions<\/strong>&#8220;. For\u00a0example, the figures for 10 July show that R in the Midlands was then estimated at 0.7\u00a0to\u00a00.9, whereas in the South East, it\u00a0was estimated at 0.8\u00a0to\u00a01.0.<\/li>\n<\/ul>\n<\/div>\n<p>(When it&#8217;s given as a <strong>range<\/strong>, like the &#8220;0.8\u00a0to\u00a01&#8221;, it&#8217;s\u00a0acknowledging that we don&#8217;t have enough info to be 100% sure, and\/or it&#8217;s different in different places within that region.)<\/p>\n<p>Part of what&#8217;s tricky about doing the estimates is the <a title=\"Time-lag in measuring\" href=\"#time-lag-in-measuring\">time-lag<\/a> &#8211; the fact that the people who are getting infected <em>today<\/em> won&#8217;t show up till maybe next week, or the week after.<\/p>\n<h3><a name=\"the-uks-r-number-going-down-and-up\"><\/a>The\u00a0UK&#8217;s R number going down and up<\/h3>\n<p>From the testing that&#8217;s happened so far, and from the numbers of people going to hospital, we have some idea of how R has been changing in the UK.<\/p>\n<div class=\"itemizedlist\">\n<ul type=\"disc\">\n<li><strong>Before the so-called &#8220;lockdown&#8221;<\/strong> (which was <a title=\"Article at Open Democracy, &quot;Don\u2019t buy the lockdown lie \u2013 this is a government of business as usual&quot;\" href=\"https:\/\/www.opendemocracy.net\/en\/oureconomy\/dont-buy-the-lockdown-lie-this-is-a-government-of-business-as-usual\/\">really more of a &#8220;slowdown&#8221;, in my opinion<\/a>), it\u00a0looks as though R in the UK was around <strong>2.4\u00a0to\u00a04<\/strong>.<sup><a class=\"footnote\" title=\"Source for R at the beginning of the epidemic.\" href=\"#footnote.r-before-lockdown\" name=\"r-before-lockdown\">37<\/a><\/sup><\/li>\n<li><strong>Towards the end of April<\/strong>, while lots of us were staying at home, R in the UK had got down below 1. At the time, it\u00a0was said to be <strong>between 0.6\u00a0and\u00a00.9<\/strong>.<sup><a class=\"footnote\" title=\"Source for R in April.\" href=\"#footnote.r-in-april\" name=\"r-in-april\">38<\/a><\/sup><\/li>\n<li>A study that&#8217;s just been previewed has looked back over infections in <strong>May<\/strong>: for England only, and not counting hospitals &amp; care homes. According to that, the R number <strong>in the community<\/strong> in <strong>England<\/strong> during <strong>May<\/strong> was down to <strong>0.57<\/strong>.<sup><a class=\"footnote\" title=\"Source for R in the community in England in May.\" href=\"#footnote.r-in-england-in-community-in-may\" name=\"r-in-england-in-community-in-may\">39<\/a><\/sup> (Due to spread in care homes and hospitals, the <strong>overall UK number<\/strong> at that time was between <strong>0.7\u00a0and\u00a01.0<\/strong>.)<sup><a class=\"footnote\" title=\"Source for overall R in the UK in May.\" href=\"#footnote.uk-r-in-may\" name=\"uk-r-in-may\">40<\/a><\/sup><\/li>\n<li>Since the middle of May, the government has been offering an <a href=\"https:\/\/www.gov.uk\/guidance\/the-r-number-in-the-uk#how-are-r-and-growth-rates-estimated\">official estimate of R<\/a> each week, based on things like hospital admissions, testing people for the virus, and surveys.<sup><b><a class=\"footnote\" title=\"Source for how they come up with the R for the UK.\" href=\"#footnote.modelling-r\" name=\"modelling-r\">41<\/a><\/b><\/sup> The latest update as I write, from <strong>17\u00a0July<\/strong>, was <strong>0.7\u00a0to\u00a00.9<\/strong> for the UK as a whole, <strong>0.8\u00a0to\u00a01.0<\/strong> for England.<\/li>\n<\/ul>\n<\/div>\n<p>How can England&#8217;s be higher than the UK&#8217;s? It&#8217;s because Scotland currently has a lower rate of transmission than England. They&#8217;re <a href=\"http:\/\/www.gov.scot\/publications\/coronavirus-covid-19-trends-in-daily-data\/\">down to about 1\u00a0death a week<\/a> at the moment. The most recent estimate of R in Scotland (published in <a href=\"https:\/\/www.gov.scot\/publications\/coronavirus-covid-19-modelling-epidemic-scotland-issue-no-9\/\">their own report from 15\u00a0July<\/a>) is 0.5\u00a0to\u00a00.9.<\/p>\n<p>I suspect the England number is actually closer to\u00a01 than 0.8, because the COVID Symptoms Tracker project has already said that based on <em>their<\/em> data <strong>up\u00a0to 11\u00a0July<\/strong>, it <a href=\"https:\/\/covid.joinzoe.com\/post\/data-update-july-16\"> looks as though the UK epidemic has stayed roughly the same size since the beginning of July<\/a>:<\/p>\n<blockquote><p>The latest data suggests that the number of daily new cases has now stopped dropping, with a definite leveling off of cases since the beginning of July. The latest figures were based on the data from almost 3 million users and 14,429 swab tests done between 28\u00a0June to 11\u00a0July.<\/p><\/blockquote>\n<h3><a name=\"dont-only-look-at-r-by-itself\"><\/a>Don&#8217;t only look at R by itself<\/h3>\n<p>In\u00a0practical terms, it&#8217;s important to keep in mind <strong>how many people are infected right now<\/strong>, as well as how fast the infection is spreading.<\/p>\n<p>If someone told you <strong>R was\u00a02<\/strong>, that could be referring to <strong>one person infecting two people<\/strong> &#8211; or\u00a0it could be referring to <strong>ten\u00a0thousand people infecting twenty thousand people<\/strong>, which is a much bigger problem!<\/p>\n<p>If the R number is a <em>little<\/em> bit smaller than\u00a01, the epidemic is shrinking &#8211; but you still might not be doing great if the overall numbers of infections are\u00a0big. For\u00a0instance, <strong>if\u00a0R is 0.8<\/strong> and you have <strong>ten\u00a0thousand people already infected<\/strong>, the &#8220;next round&#8221; will still mean <strong>another eight\u00a0thousand<\/strong> people catching the virus.<\/p>\n<p>If\u00a0it keeps on shrinking like that, <em>eventually<\/em> it will shrink away to nothing, but a lot of people would have died in the meantime.<\/p>\n<p>This is rather like what we&#8217;ve got in the UK <a title=\"COVID Infections estimate page, from the COVID-19 Symptom Study.\" href=\"https:\/\/covid.joinzoe.com\/data\">at the moment<\/a>: the Symptom Study team are estimating <strong>28 thousand people with symptoms<\/strong> as of <strong>19\u00a0July<\/strong>, with a couple of thousand new infections each day.<\/p>\n<h2><a name=\"testing\"><\/a> Testing<\/h2>\n<p>I&#8217;m not going to get into all the details of testing here. I&#8217;ll just address the question of: <strong>What statistics are useful<\/strong> to keep track of, to see <strong>how well the testing processes are working?<\/strong><\/p>\n<p>The\u00a0government started off by making a big deal of how many tests were being done overall.<\/p>\n<p>There was a palaver over them <a title=\"I'm not a big fan of the Telegraph overall, by the way.\" href=\"https:\/\/www.telegraph.co.uk\/global-health\/science-and-disease\/tens-thousands-coronavirus-tests-have-double-counted-officials\/\">fiddling the numbers<\/a> &#8211; partly by including tests that had only been posted out to someone&#8217;s house and not actually <em>done<\/em>, and partly by, if\u00a0one person had spit\/snot samples taken both from their nose <em>and<\/em> from their throat, counting that as two separate tests!<\/p>\n<p>But aside from whether it&#8217;s being counted up correctly, it&#8217;s maybe not the best measure to focus on anyway. You want to know <strong>how many <em>people<\/em> are being tested<\/strong> &#8211; not just how many tests are done.<\/p>\n<p>Leaving aside the &#8220;cheat&#8221; of counting two parts of one test separately, it&#8217;s actually not that unusual for the same person to be tested twice. For example, someone who&#8217;s ill might initially test negative, then get re-tested a few days later, to help doctors work out what&#8217;s going on with them. That&#8217;s genuinely two tests, but only one person.<\/p>\n<p>Two other key measurements to track are:<\/p>\n<div class=\"itemizedlist\">\n<ul type=\"disc\">\n<li><strong>How quickly<\/strong> people can <strong>get a test<\/strong> when they want one.<\/li>\n<li><strong>How quickly<\/strong> people then receive their <strong>results<\/strong>.<\/li>\n<\/ul>\n<\/div>\n<p>If someone <em>does<\/em> test positive, you want to be warning the people they&#8217;ve spent time with &#8211; preferably before that &#8220;next round&#8221; of people starts to be infectious. So\u00a0the speed of turnaround is crucial.<\/p>\n<h3><a name=\"are-you-testing-enough\"><\/a>Are you testing enough?<\/h3>\n<p>Why does it matter how many people got tested, as long as everyone <em>can<\/em> get a test when they need one?<\/p>\n<p>It&#8217;s\u00a0partly because that then forms part of another measure: the &#8220;<strong>positivity rate<\/strong>&#8220;.<\/p>\n<p>If you test a thousand people for bits of virus in their body, and only three or four results come back positive, you can be fairly sure that you&#8217;re not missing a lot of cases by failing to test enough.<\/p>\n<p>If you test a thousand people, and <em>two hundred<\/em> results come back positive, it&#8217;s very very likely that there are some other people out in the community who <em>didn&#8217;t<\/em> get tested, but <em>do<\/em> have the virus. If you seriously want to get on top of the situation, that means you need to ramp up the testing and find those other people.<\/p>\n<p>In\u00a0other words, <strong>if a big proportion of people turn out to test positive<\/strong>, it&#8217;s probably a hint that a lot of other people have the infection as well, who never got tested. It\u00a0means you <strong>aren&#8217;t doing enough testing yet to know where the virus is<\/strong>.<\/p>\n<p>So the &#8220;positivity rate&#8221; is useful for working out whether you&#8217;re doing enough testing, or not.<\/p>\n<p>Note, the &#8220;positivity rate&#8221; isn&#8217;t the same as &#8220;what percentage of people in this area have the virus&#8221;. This is &#8220;what percentage of people <em>who got tested<\/em> have the virus&#8221;.<\/p>\n<p>The\u00a0World Health Organisation suggests aiming for no higher than 5% positivity before loosening any precautions.<sup><a class=\"footnote\" title=\"Source for the WHO recommendation.\" href=\"#footnote.positivity\" name=\"positivity\">42<\/a><\/sup> Some places are aiming for 3%.<\/p>\n<p>Of course, eventually you want the positivity rate to come all the way down to\u00a00%, as the virus is eliminated from a country. But\u00a0meanwhile, you want to be doing enough testing that you&#8217;re finding the infections which <em>are<\/em> there.<\/p>\n<h2><a name=\"tell-me-if-i-got-something-wrong-updates-policy\"><\/a>Tell me if I got something wrong \/ updates policy<\/h2>\n<p>By the nature of a post like this, parts of it will be outdated soon. I\u00a0don&#8217;t know if I&#8217;m going to update it to any significant extent on things which were right at the time; if\u00a0something changed drastically and I thought it might mislead people to have the old information there uncorrected, I\u00a0probably would put a note in.<\/p>\n<p>But it&#8217;s also possible I&#8217;ve made mistakes already! especially as this went through a lot of drafts while I was researching. So please tell me if you notice I got something wrong.<\/p>\n<p>That&#8217;s it for now! Hope it was useful!<\/p>\n<p><a href=\"#read_responses\">Skip footnotes and jump to comments<\/a><\/p>\n<div class=\"footnotes\">\n<hr align=\"left\" width=\"100\" \/>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#naming\" name=\"footnote.naming\">1<\/a>. &#8220;<strong>Covid and the virus which causes it<\/strong>&#8220;: The\u00a0illness is officially COVID-19, and the virus is officially SARS-CoV-2. Even though the name &#8220;covid&#8221; isn&#8217;t as exact, I&#8217;ve decided I&#8217;m calling it that &#8220;for short&#8221; now, for ease of reading.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#blood-clotting\" name=\"footnote.blood-clotting\">2<\/a>. &#8220;<strong>Can cause blood clotting<\/strong>&#8220;: At a medical centre in New York, <a title=\"Paper at the Lancet, based on autopsies.\" href=\"https:\/\/www.thelancet.com\/journals\/eclinm\/article\/PIIS2589-5370(20)30178-4\/fulltext\">doctors investigated the bodies of 7 people who&#8217;d died from covid<\/a>. All the bodies had unusual blood clotting, even if the person had been given anti-clot drugs while they were alive.<\/p>\n<blockquote><p>In\u00a0this series of seven COVID-19 autopsies, thrombosis was a prominent feature in multiple organs, in some cases despite full anticoagulation and regardless of timing of the disease course, suggesting that thrombosis plays a role very early in the disease process.<\/p><\/blockquote>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#doctors-writing-death-certificates\" name=\"footnote.doctors-writing-death-certificates\">3<\/a>. &#8220;<strong>Died of pneumonia<\/strong>&#8220;: More on death certificates in <a title=\"ONS definition, and how death certificates work\" href=\"#ons-definition-and-how-death-certificates-work\">the section about the Office of National Statistics<\/a>.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#dhsc-covid-deaths\" name=\"footnote.dhsc-covid-deaths\">4<\/a>. &#8220;<strong>coronavirus.data.gov.uk<\/strong>&#8220;: As well as the total, there&#8217;s a graph, going back to the start of the epidemic. On touch-screen, you can touch the graph line to pick out specific days, or if you have a mouse, &#8220;hover&#8221; the mouse pointer over the line.<\/p>\n<p>They&#8217;re beta-testing a new page layout as I write: in the newer design, you have to click a tab which says &#8220;Deaths&#8221; to get to that graph.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#calendar-date\" name=\"footnote.calendar-date\">5<\/a>. &#8220;<strong>On an April calendar date<\/strong>&#8220;: There is a <em>bit<\/em> of wiggle room around death registrations and calendar dates: what if there&#8217;s some reason that more or fewer registrations happen on a particular day, which has nothing to do with the actual deaths?<\/p>\n<p>For example, if\u00a0the office is closed on a Sunday, you won&#8217;t get registrations that day &#8211; and it wouldn&#8217;t mean nobody <em>died<\/em> on a Sunday.<\/p>\n<p>In\u00a0the Spring, you do typically get a little uneven bit in the flow of death registrations, when it&#8217;s the Easter weekend. If you were looking at the numbers for just those few days or that week, you&#8217;d want to take it into account. But\u00a0it wouldn&#8217;t have much effect on the numbers for the month overall. (If Easter falls near the end of one month, so that nearly all the registrations for that weekend get bumped on into the next month, there would be <em>some<\/em> effect.) So\u00a0for simplicity, I&#8217;ve skipped over that in the main explanation.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#death-law-tradition\" name=\"footnote.death-law-tradition\">6<\/a>. <strong>Death law traditions<\/strong>: This is a bit off-topic, which is why I&#8217;ve put it in a footnote, but for example: if someone disappears &#8220;presumed dead&#8221;, there already are laws and discussions about how long you have to wait before you can treat them as &#8220;officially dead&#8221; for legal purposes.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#excess-deaths-april\" name=\"footnote.excess-deaths-april\">7<\/a>. &#8220;<strong>Average of those five previous Aprils<\/strong>&#8220;. Here&#8217;s my working:<\/p>\n<div class=\"informaltable\">\n<table border=\"1\">\n<colgroup>\n<col \/>\n<col \/><\/colgroup>\n<tbody>\n<tr>\n<td>2019 (provisional)<\/td>\n<td>41,164<\/td>\n<\/tr>\n<tr>\n<td>2018<\/td>\n<td>43,478<\/td>\n<\/tr>\n<tr>\n<td>2017<\/td>\n<td>36,422<\/td>\n<\/tr>\n<tr>\n<td>2016<\/td>\n<td>43,755<\/td>\n<\/tr>\n<tr>\n<td>2015<\/td>\n<td>42,286<\/td>\n<\/tr>\n<tr>\n<td>Average of those 5 years<\/td>\n<td><strong>41,421<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>Technically this average is known as a &#8220;mean&#8221;: that is, I\u00a0added the numbers for all five years, then divided by five. I&#8217;ve rounded the 41,421 to 41,400 for ease of explaining.<\/p>\n<p>The\u00a0provisional figure for April 2020 was <strong>83,504<\/strong> when I looked it up, which I&#8217;ve rounded to 83,500 in the discussion.<\/p>\n<p>(Note, I&#8217;ve chosen to use just England for this example; obviously each figure for England and Wales <em>together<\/em> would be a bit higher.)<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#at-the-moment\" name=\"footnote.at-the-moment\">8<\/a>. &#8220;<strong>At the moment<\/strong>&#8220;: The\u00a0ONS people confirm each year&#8217;s <em>exact<\/em> numbers after the end of the year. But\u00a0as they had all of May to chase up late entries before publishing the spreadsheet I saw, that number is probably pretty close.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#viewing-twitter\" name=\"footnote.viewing-twitter\">9<\/a>. <strong>Note on viewing Twitter threads<\/strong>: You can view Twitter even if you don&#8217;t have an account (although <em>some<\/em> writers will have set their tweets to be private). A\u00a0thread means several tweets linked together. The\u00a0link I&#8217;ve given is to the first tweet in Nick&#8217;s thread. If the rest of the thread doesn&#8217;t show up straight away, you may need to click on the date of the tweet, or (in some apps) just the main middle bit with the writing. You should then be able to read down the page for the other tweets in the thread.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#low-oxygen\" name=\"footnote.low-oxygen\">10<\/a>. &#8220;<strong>Aren&#8217;t getting enough oxygen<\/strong>&#8220;: &#8220;<a href=\"https:\/\/www.sciencemag.org\/news\/2020\/04\/why-don-t-some-coronavirus-patients-sense-their-alarmingly-low-oxygen-levels\">Why don\u2019t some coronavirus patients sense their alarmingly low oxygen levels?<\/a>&#8221; Short answer: it&#8217;s because if you&#8217;re not breathing properly, normally what &#8220;sounds the alarm&#8221; to your body is the <em>build-up<\/em> of <em>carbon dioxide<\/em>, not the <em>lack<\/em> of <em>oxygen<\/em>. So\u00a0if carbon dioxide <em>isn&#8217;t<\/em> building up, your body won&#8217;t notice at first that there&#8217;s a problem.<\/p>\n<p>Doctors do already know something about how this plays out, because of people going up to high altitudes where the air is &#8220;thin&#8221;. Here&#8217;s a paper discussing the similarities: <a href=\"https:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC7165289\/\">COVID-19 patients with respiratory failure: what can we learn from aviation medicine?<\/a><\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#feb-to-may-deaths\" name=\"footnote.feb-to-may-deaths\">11<\/a>. &#8220;<strong>During the spring of 2020<\/strong>&#8220;: Probably mostly during Feb, March and April, according to <a title=\"What were those other deaths?\" href=\"#what-were-those-other-deaths\">Nick Stripe&#8217;s analysis<\/a>. He points out that by May, the excess death numbers were matching up with the covid death numbers, probably in part because doctors were getting better at spotting the different ways covid can kill you. So\u00a0the excess deaths which <em>don&#8217;t<\/em> match up with known covid deaths would&#8217;ve mostly been before then.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#taking-on-trust\" name=\"footnote.taking-on-trust\">12<\/a>. <strong>Note on using the sums from the Financial Times<\/strong>: I <em>could<\/em> have done my own independent calculation of excess deaths for the UK, as well. Maybe if I were starting this article over again, I&#8217;d have done that one instead of the England\/April example. But\u00a0as I <em>have<\/em> done the England\/April one, and doing another one would be a lot of faff &#8211; and as I&#8217;d probably have heard about it if the FT&#8217;s analysis was especially bad &#8211; I&#8217;m taking on trust that the FT people and Jamie Jenkins aren&#8217;t far off.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#symptom-delay\" name=\"footnote.symptom-delay\">13<\/a>. <strong>Typically 5 days to symptoms<\/strong>: one paper looking at that is <a href=\"https:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC7081172\/\">The\u00a0Incubation Period of Coronavirus Disease 2019 (COVID-19) From Publicly Reported Confirmed Cases: Estimation and Application<\/a>.<\/p>\n<blockquote><p>There were 181 confirmed cases with identifiable exposure and symptom onset windows to estimate the incubation period of COVID-19. The\u00a0median incubation period was estimated to be 5.1\u00a0days (95% CI, 4.5 to 5.8 days), and 97.5% of those who develop symptoms will do so within 11.5 days (CI, 8.2 to 15.6 days) of infection. These estimates imply that, under conservative assumptions, 101 out of every 10 000 cases (99th percentile, 482) will develop symptoms after 14 days of active monitoring or quarantine.<\/p><\/blockquote>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#asymptomatic-lung-damage\" name=\"footnote.asymptomatic-lung-damage\">14<\/a>. &#8220;<strong>Might still do things to their body that they weren&#8217;t aware of<\/strong>&#8220;: Researchers did scans of 37 people who had covid with no symptoms. Here&#8217;s the paper: <a href=\"https:\/\/www.nature.com\/articles\/s41591-020-0965-6\">Clinical and immunological assessment of asymptomatic SARS-CoV-2 infections<\/a>.<\/p>\n<p>They found that 11 of the 37 people had what they call a \u201c<span class=\"quote\"><a href=\"https:\/\/radiopaedia.org\/articles\/ground-glass-opacification-3\">ground-glass opacity<\/a><\/span>\u201d (a hazy bit on your scan, which looks a bit like that type of glass with a matt, non-shiny finish). Another 10 had \u201c<span class=\"quote\">stripe shadows and\/or diffuse consolidation<\/span>\u201d, whatever that is.<\/p>\n<p>So\u00a0in other words, more than half of the people without noticeable symptoms had <em>some<\/em> kind of weirdness going on in one or both lungs.<\/p>\n<p>To put that in perspective, though, someone with a minor infection like a cold wouldn&#8217;t usually <em>have<\/em> a CT scan. (That&#8217;s &#8220;Computerised Tomography&#8221;, a type of scan which shows more lung detail than an X-ray would.) So\u00a0we don&#8217;t know how common it is to get a minor lung abnormality which quickly clears up.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#timespan\" name=\"footnote.timespan\">15<\/a>. &#8220;<strong>15 to 22 days after symptoms start<\/strong>&#8220;: That&#8217;s from this research study, which summed up lots of people&#8217;s experiences: <a href=\"https:\/\/www.thelancet.com\/pdfs\/journals\/lancet\/PIIS0140-6736(20)30566-3.pdf\">Clinical course and risk factors for mortality of adult inpatients with COVID-19 in Wuhan, China: a retrospective cohort study<\/a> (PDF).<\/p>\n<blockquote><p>The median time from illness onset (ie, before admission) to discharge was 22\u00b70 days (IQR 18\u00b70\u201325\u00b70), whereas the median time to death was 18\u00b75 days (15\u00b70\u201322\u00b70; table 2).<\/p><\/blockquote>\n<p>Where they refer to &#8220;discharge&#8221;, that&#8217;s the people who got better and went home from hospital.<\/p>\n<p>&#8220;Median&#8221; is a type of average. It&#8217;s the one where you line up all the answers in a row, and pick the middle one. So e.g. if the answers to something were 1, 2, 2, 3, 10, the median would\u00a0be\u00a02.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#how-long-infectious\" name=\"footnote.how-long-infectious\">16<\/a>. <strong>Mostly not infectious after day 5<\/strong>: The\u00a0study is &#8220;<a href=\"https:\/\/jamanetwork.com\/journals\/jamainternalmedicine\/fullarticle\/2765641\">Contact Tracing Assessment of COVID-19 Transmission Dynamics in Taiwan and Risk at Different Exposure Periods Before and After Symptom Onset<\/a>&#8220;.<\/p>\n<blockquote><p>The\u00a0attack rate was higher among the 1818 contacts whose exposure to index cases started within 5\u00a0days of symptom onset (1.0% [95% CI, 0.6%-1.6%]) compared with those who were exposed later (0 cases from 852 contacts; 95% CI, 0%-0.4%). The\u00a0299 contacts with exclusive presymptomatic exposures were also at risk (attack rate, 0.7% [95% CI, 0.2%-2.4%]).<\/p><\/blockquote>\n<p>&#8220;Attack rate&#8221; is what they call it when the second lot of people catch the virus from the first lot. What they&#8217;re saying is that 852 people spent time around someone who was on Day 6 of covid symptoms or later, and none of those 852 people caught it.<\/p>\n<p>However, they don&#8217;t say it&#8217;s <em>impossible<\/em> for that to happen &#8211; only that it <em>didn&#8217;t<\/em> happen in the group of people they were studying.<\/p>\n<p>(Their research also confirms again that you can catch the virus from someone who&#8217;s not yet shown symptoms. \u201c<span class=\"quote\">Exclusive presymptomatic exposures<\/span>\u201d, means &#8220;only spent time with the infected people <em>before<\/em> their symptoms started&#8221;, and some of the 299 people they refer to in that bit <em>did<\/em> catch it.)<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#long-covid\" name=\"footnote.long-covid\">17<\/a>. &#8220;<strong>Long covid<\/strong>&#8221; stats: Originally, the daily update number from the COVID Symptom Study <em>did<\/em> include people still ill after the initial infection had gone. But\u00a0they <a href=\"https:\/\/covid.joinzoe.com\/post\/data-update-prevalence-covid\">revised their counting method on 8\u00a0July<\/a>, explaining:<\/p>\n<blockquote><p>We will be separately estimating the numbers of people with long duration symptoms and updating our website with these figures. We want to emphasise that there are lots of people who continue to have symptoms long after they are no longer infectious &#8211; this is an area of huge importance, and one that our researchers are very keen to understand better with your help.<\/p><\/blockquote>\n<p>This is a good example of stats people deciding to come up with new &#8220;what are we counting&#8221; rules. More information came in (i.e. they could see from people&#8217;s symptom reports how many people still hadn&#8217;t recovered yet after months), and they took time to think over freshly what would make most sense.<\/p>\n<p>I&#8217;m guessing they thought it wouldn&#8217;t make sense to mix together the count of &#8220;people who are part of the ongoing epidemic, possibly still infectious&#8221; with the count of &#8220;people who aren&#8217;t well, but probably aren&#8217;t infectious any more&#8221;.<\/p>\n<p>More on the &#8220;long-haulers&#8221; in the <a title=\"Long-term disabilities\" href=\"#long-term-disabilities\">section about lasting disabilities<\/a>.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#temperatures\" name=\"footnote.temperatures\">18<\/a>. &#8220;<strong>If the virus becomes unviable more quickly at different temperatures<\/strong>&#8220;: We already knew that the <em>flu<\/em> virus survives better in dry, cold air, which is part of why flu illnesses often peak in the winter. It\u00a0remains to be seen what&#8217;ll happen with covid. Good discussion here: <a href=\"https:\/\/ccdd.hsph.harvard.edu\/will-covid-19-go-away-on-its-own-in-warmer-weather\/\">Seasonality of SARS-CoV-2: Will COVID-19 go away on its own in warmer weather?<\/a><\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#z-scores\" name=\"footnote.z-scores\">19<\/a>. &#8220;<strong>Other factors, like some countries having more older people<\/strong>&#8220;: The\u00a0Euromomo web site compares <a href=\"https:\/\/www.euromomo.eu\/how-it-works\/what-is-a-z-score\/\">a measurement called Z-scores<\/a>. Disclaimer, I&#8217;m not 100% sure I understood how they&#8217;re using it, but I <em>think<\/em> the point of it is you compare excess deaths with <em>usual<\/em> deaths for the time of year, and look at the ratio of those. You don&#8217;t only compare excess deaths with the overall population. This then compensates for the fact that one country might <em>usually<\/em> have fewer deaths per million than another these days, for reasons like currently having lots of younger people. If\u00a0you understand the Euromomo Z-scores properly and can explain them to me, please\u00a0do :-)<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#uk-population\" name=\"footnote.uk-population\">20<\/a>. &#8220;<strong>67 million<\/strong>&#8220;: It\u00a0looks as though the Financial Times has been using the UK population figure from mid-2019, around 66.8 million. I&#8217;m not sure of their source, and whether they actually know it <em>is<\/em> that now, or they&#8217;re using the most recent official number on principle even though it was a while ago. Anyway, by rounding to 67 million, I&#8217;m erring on the side of, if\u00a0anything, <em>underestimating<\/em> the death rates. (because a bigger population means the deaths look fewer in comparison.)<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#much-worse\" name=\"footnote.much-worse\">21<\/a>. <strong>Financial Times estimate, and other related stuff<\/strong>: Although some more <em>actual<\/em> deaths have happened since then, most of the <em>excess<\/em> deaths happened in the spring. So it doesn&#8217;t make a huge difference that this article is from May.<\/p>\n<p>In\u00a0this article, I&#8217;m not getting into <em>why<\/em> so many people have died here compared to other countries &#8211; maybe I&#8217;ll write about that another time.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#official-deaths-per-million\" name=\"footnote.official-deaths-per-million\">22<\/a>. <strong>Official deaths per million<\/strong>: DHSC&#8217;s count of covid deaths is 45,300 at 19\u00a0July (from <a title=\"Government web site for covid data.\" href=\"https:\/\/coronavirus.data.gov.uk\/\">the government&#8217;s web site<\/a>). 45,300 divided by 67 million gives 676 deaths per million.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#denmark-greece\" name=\"footnote.denmark-greece\">23<\/a>. <strong>Denmark and Greece<\/strong>: As reported at <a href=\"https:\/\/www.worldometers.info\/coronavirus\/#countries\">Worldometers<\/a> on 19\u00a0July.<\/p>\n<p>Side note, I&#8217;m not an enormous fan of that site, because I don&#8217;t think they do enough to flag up that these are the <em>known<\/em> cases and there could be more, or that different countries are going by different definitions. But it is a very convenient place to get a rough summing-up of what&#8217;s happening across the world.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#antibody\" name=\"footnote.antibody\">24<\/a>. &#8220;<strong>An antibody is a tiny bit of your immune system<\/strong>&#8220;: Technically it&#8217;s a protein (not a cell).<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#spanish-research-details\" name=\"footnote.spanish-research-details\">25<\/a>. <strong>More details on the Spanish research<\/strong>: 61\u00a0thousand people had a fingerprick test &#8220;on the spot&#8221;. About 52\u00a0thousand also gave blood which was tested later in a lab as a double-check.<\/p>\n<p>The\u00a0researchers started by testing for two different types of antibody, known as IgG and IgM. But\u00a0they ended up not using the IgM results, as the IgG test was more reliable.<\/p>\n<p>In\u00a0research like this, you&#8217;re trying to find out about a <em>big<\/em> group (the whole country) by looking at a <em>smaller<\/em> group (the people you tested, also known as a &#8220;sample&#8221;). So\u00a0you have to be careful that the small group really does have the same illness patterns (or whatever you&#8217;re interested in) as the big group.<\/p>\n<p>Your results are generally going to be more reliable if you test a lot of people &#8211; which the Spanish researchers did.<\/p>\n<p>And you also try to make sure that your &#8220;sample&#8221; is similar to the overall population, more or less. For example, if\u00a0you know that a quarter of the population is in the age range 40 to 59, then you don&#8217;t want to only test people in their twenties &#8211; ideally you probably want about a quarter of your sample to be 40 to 59 as well. The\u00a0Spanish researchers did some extra sums so that the final result would be more similar to the overall pattern in the country.<\/p>\n<p>Here&#8217;s the report: &#8220;<a href=\"https:\/\/www.thelancet.com\/journals\/lancet\/article\/PIIS0140-6736%2820%2931483-5\/fulltext\">Prevalence of SARS-CoV-2 in Spain (ENE-COVID): a nationwide, population-based seroepidemiological study<\/a>&#8220;.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#contacts-t-cells-no-antibodies\" name=\"footnote.contacts-t-cells-no-antibodies\">26<\/a>. <strong>Covid-specific T\u00a0cells in people who didn&#8217;t have the antibodies<\/strong>: The\u00a0preprint with that result is &#8220;<a href=\"https:\/\/www.medrxiv.org\/content\/10.1101\/2020.06.21.20132449v1\">Intrafamilial Exposure to SARS-CoV-2 Induces Cellular Immune Response without Seroconversion<\/a>&#8220;, from 22\u00a0June in France. (Seroconversion means when someone&#8217;s blood develops the antibodies for something.)<\/p>\n<blockquote><p>Exposure to SARS-CoV-2 can induce virus-specific T\u00a0cell responses without seroconversion. T\u00a0cell responses may be more sensitive indicators of SARS-Co-V-2 exposure than antibodies. Our results indicate that epidemiological data relying only on the detection of SARS-CoV-2 antibodies may lead to a substantial underestimation of prior exposure to the virus.<\/p><\/blockquote>\n<p>In\u00a0another study from June, researchers looked at about 200 blood samples from a variety of people in Sweden, including from people ill at the time, people who&#8217;d had it earlier (Feb\/March) and recovered, people who had been exposed to covid but hadn&#8217;t had symptoms, plus some previously-stored blood samples from 2019 before the epidemic started.<\/p>\n<p>Here&#8217;s the preprint: &#8220;<a href=\"https:\/\/www.biorxiv.org\/content\/10.1101\/2020.06.29.174888v1.full.pdf\">Robust T\u00a0cell immunity in convalescent individuals with asymptomatic or mild COVID-19<\/a>&#8221;<\/p>\n<p>Like the French research, one of the things they found out was that some of the people who&#8217;d been exposed to covid <em>didn&#8217;t<\/em> have covid-specific <em>antibodies<\/em>, but <em>did<\/em> have covid-specific T\u00a0cells:<\/p>\n<blockquote><p>SARS-CoV-2-specific CD4+ and CD8+ T\u00a0cell responses were present in seronegative individuals, albeit at lower frequencies compared with seropositive individuals (Figure 4F).<\/p><\/blockquote>\n<p>(Seronegative means antibodies <em>weren&#8217;t<\/em> detected, seropositive means they <em>were<\/em> detected.)<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#t-cells-from-first-sars\" name=\"footnote.t-cells-from-first-sars\">27<\/a>. <strong>T\u00a0cells from the first SARS in\u00a02003<\/strong>: &#8220;<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0264410X16002589\">Memory T\u00a0cell responses targeting the SARS coronavirus persist up to 11\u00a0years post-infection<\/a>&#8221; had already shown in\u00a02016 that the SARS T\u00a0cells lasted <em>that<\/em> long. Researchers recently confirmed they can still persist to this day: &#8220;<a href=\"https:\/\/www.biorxiv.org\/content\/10.1101\/2020.05.26.115832v1\">Different pattern of pre-existing SARS-COV-2 specific T\u00a0cell immunity in SARS-recovered and uninfected individuals<\/a>&#8220;.<\/p>\n<blockquote><p>We then show that SARS-recovered patients (n=23), 17 years after the 2003 outbreak, still possess long-lasting memory T\u00a0cells reactive to SARS-NP, which displayed robust cross-reactivity to SARS-CoV-2 NP.<\/p><\/blockquote>\n<p>By the way, what they&#8217;re saying about the cross-reactivity in that quote I <em>think<\/em> means: surviving the first SARS gives you a bit of protection against COVID-19. They&#8217;re not saying it would completely stop you getting covid, but it could give your immune system a head start at dealing with it.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#t-cell-testing\" name=\"footnote.t-cell-testing\">28<\/a>. <strong>T\u00a0cell testing more bothersome<\/strong>: See <a href=\"https:\/\/blogs.sciencemag.org\/pipeline\/archives\/2020\/06\/22\/thoughts-on-antibody-persistence-and-the-pandemic\">an interesting discussion at Derek Lowe&#8217;s blog<\/a>. He says:<\/p>\n<blockquote><p>it\u2019s unfortunately a lot more labor-intensive to profile CD4+ and CD8+ T\u00a0cells in people than it is to profile their antibody responses.<\/p><\/blockquote>\n<p>I think the gist of it is: you get some blood from the person, and add some covid-virus-alikey pieces to the sample of blood, and look at how the T\u00a0cells respond. I\u00a0saw elsewhere that you need a bigger blood sample than the few drops from a fingerprick test, and it takes longer.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#antibody-timing\" name=\"footnote.antibody-timing\">29<\/a>. <strong>Timing of antibodies<\/strong>: for example, &#8220;<a href=\"https:\/\/wwwnc.cdc.gov\/eid\/article\/26\/10\/20-2211_article?deliveryName=USCDC_333-DM31489\">Antibody Responses to SARS-CoV-2 at 8 Weeks Postinfection in Asymptomatic Patients<\/a>&#8221; says<\/p>\n<blockquote><p>Seroconversion in asymptomatic patients might take longer.<\/p><\/blockquote>\n<p>&#8230; which translates as: having covid <em>with<\/em> symptoms might mean you&#8217;re making antibodies quicker than the people who have the virus and <em>no<\/em> symptoms.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#uk-antibodies-research\" name=\"footnote.uk-antibodies-research\">30<\/a>. &#8220;<strong>1\u00a0person in every 15<\/strong>&#8221; had antibodies: <a href=\"https:\/\/www.ons.gov.uk\/peoplepopulationandcommunity\/healthandsocialcare\/conditionsanddiseases\/bulletins\/coronaviruscovid19infectionsurveypilot\/28may2020\">Here&#8217;s the initial results<\/a>. <a href=\"https:\/\/www.ons.gov.uk\/peoplepopulationandcommunity\/healthandsocialcare\/conditionsanddiseases\/bulletins\/coronaviruscovid19infectionsurveypilot\/28may2020#measuring-the-data\">Here&#8217;s a bit more about how they did the research<\/a>.<\/p>\n<blockquote><p>As of 24\u00a0May 2020, 6.78% (95% confidence interval: 5.21% to 8.64%) of individuals from whom blood samples were taken tested positive for antibodies to the coronavirus (COVID-19). This is based on blood test results from 885 individuals since the start of the study on 26 April 2020.<\/p><\/blockquote>\n<p>There&#8217;s since been an <a href=\"https:\/\/www.ons.gov.uk\/peoplepopulationandcommunity\/healthandsocialcare\/conditionsanddiseases\/bulletins\/coronaviruscovid19infectionsurveypilot\/england17july2020\">update<\/a>:<\/p>\n<blockquote><p>Between 26 April and 8\u00a0July, 6.3% of people tested positive for antibodies against SARS-CoV-2 on a blood test, suggesting they had the infection in the past.<\/p><\/blockquote>\n<p>It doesn&#8217;t necessarily mean that the number of people with antibodies genuinely went down in that time; that <em>could<\/em> be the case, due to them &#8220;fading away&#8221; for some people, but it&#8217;s also possible that was random chance, in picking different people to sample at different times.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#ifr-uk-estimate-sum\" name=\"footnote.ifr-uk-estimate-sum\">31<\/a>. <strong>1\u00a0in\u00a072 died<\/strong>: 65,000 over 4,700,000. With fractions, you can do whatever you like to them as long as you do the same to the top as you do to the bottom. So divide both by 65,000. That converts it to 1 over 72.3-and-some-more-decimals. Rounding off, let&#8217;s say 1\u00a0over 72.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#brain-effects-references\" name=\"footnote.brain-effects-references\">32<\/a>. &#8220;<strong>Delirium, brain inflammation, stroke and nerve damage<\/strong>&#8220;: That&#8217;s a quote from <a title=\"University College London research briefing, early July 2020.\" href=\"https:\/\/www.eurekalert.org\/pub_releases\/2020-07\/ucl-iid070620.php\">this briefing from University College London<\/a>.<\/p>\n<p>Here&#8217;s the actual research paper they&#8217;re talking about: <a href=\"https:\/\/academic.oup.com\/brain\/article\/doi\/10.1093\/brain\/awaa240\/5868408\">The\u00a0emerging spectrum of COVID-19 neurology: clinical, radiological and laboratory findings<\/a> (in &#8220;Brain&#8221; journal).<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#sars-lung-damage\" name=\"footnote.sars-lung-damage\">33<\/a>. <strong>Lung damage from SARS<\/strong>: &#8220;<a href=\"https:\/\/www.nature.com\/articles\/s41413-020-0084-5\">Long-term bone and lung consequences associated with hospital-acquired severe acute respiratory syndrome: a 15-year follow-up from a prospective cohort study<\/a>&#8220;. This study was based on following up with 71\u00a0people who&#8217;d survived SARS in\u00a02003. (The\u00a0&#8220;bone consequences&#8221; were to do with having high-dose steroids for treatment while ill. Only the lung damage was to do with SARS itself.)<\/p>\n<p>Of the 71\u00a0people studied overall, 46 people took part in getting their lungs tested in\u00a02006:<\/p>\n<blockquote><p>The\u00a0outcomes in\u00a02006 revealed that 10 out of 46 (21.74%) patients had restrictive ventilation dysfunction. Sixteen out of 46 (34.78%) patients had reduced diffusion capacity with an ~70%\u201380% predicted value, indicating a mild reduction.<\/p><\/blockquote>\n<p>I <em>think<\/em> what that means is that 10 of the 46 couldn&#8217;t breathe in the normal amount of air, whereas 16 of the 46 weren&#8217;t getting the normal amount of oxygen <em>from<\/em> the air. It&#8217;s\u00a0not entirely clear to me from how they&#8217;ve written it up whether some of those are the same people. But\u00a0at any rate, that&#8217;s 2 to 3 years later, still with the SARS after-effects. And some still had damage even at the later follow-up in\u00a02018.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#r-number-and-iceland-data\" name=\"footnote.r-number-and-iceland-data\">34<\/a>. &#8220;<strong>Probably not far off 3<\/strong>&#8220;: More discussion of this number later, when we get onto how R has changed in the UK.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#r-not-precise\" name=\"footnote.r-not-precise\">35<\/a>. <strong>R number not all that precise<\/strong>: <a href=\"https:\/\/twitter.com\/AdamJKucharski\/status\/1259441470618001409\">Here&#8217;s a good thread about that<\/a>.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#r-nought\" name=\"footnote.r-nought\">36<\/a>. &#8220;<strong>R partly depends on the nature of a particular disease<\/strong>&#8220;: R<sub>0<\/sub>, pronounced R-nought or R-zero, is sometimes used to refer to the aspect that depends only on the virus itself. It means how fast a virus would spread in a situation where <em>no-one was immune<\/em>, and where <em>no-one took any particular measures to stop it<\/em>. For example, the R<sub>0<\/sub> of measles is sometimes given as 15: each infected person would infect about 15 others, if\u00a0they weren&#8217;t immune already.<\/p>\n<p>I think there are limits to this concept, in that humans are never doing <em>nothing<\/em>. You can say &#8220;without any changes to their behaviour to try to stop the virus&#8221;, but <em>before<\/em> they change their behaviour, they were already living in specific ways, not necessarily identical from one community to another, which can affect the virus&#8217;s chances. If it can transmit via food, what are the food-sharing customs? If it can transmit by air, how many people typically sleep in the same room, and how much time do people spend outside? If it can transmit via poo, how many people share a toilet, and do people have easy access to soap and water? Even at the stage when no-one&#8217;s immune, the transmission rate must depend <em>only partly<\/em> on the virus itself, and partly also on circumstances in the community.<\/p>\n<p>Measles is possibly quite a good example of this too, because in reality, different researchers have found anything from R<sub>0<\/sub>=12 to R<sub>0<\/sub>=18.<\/p>\n<p>It&#8217;s\u00a0still useful to have worked out that it&#8217;s <em>in that range<\/em>. It\u00a0means we can be pretty sure that measles is more infectious than flu (for which R<sub>0<\/sub> is typically in the range 1\u00a0to 2). And it makes sense to use the expression R<sub>0<\/sub> in comparing one disease with another against the background of the <em>same<\/em> circumstances. However, if\u00a0you don&#8217;t describe the surrounding circumstances, then talking about R<sub>0<\/sub> as a definite nailed-down thing is misleading &#8211; similar to &#8220;how long is a piece of string, let&#8217;s pretend we&#8217;re all talking about the same piece of string&#8221;.<\/p>\n<p>Researchers are still trying to work out covid&#8217;s R<sub>0<\/sub>, by looking at how fast the infection rate spread in different places. <a href=\"https:\/\/www.medrxiv.org\/content\/10.1101\/2020.02.07.20021154v1\">Here&#8217;s a paper suggesting between 4.7 and 6.6<\/a>; on the other hand, I&#8217;ve also seen estimates of 2 to 3. So\u00a0at the moment, it&#8217;s looking more infectious than flu, but less than measles would be if there were no such thing as a measles vaccine.<\/p>\n<p>Anyway, be that as it may, the current R is what&#8217;s more relevant here.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#r-before-lockdown\" name=\"footnote.r-before-lockdown\">37<\/a>. <strong>UK R number 2.4 to 4<\/strong>: <a href=\"https:\/\/theconversation.com\/coronavirus-englands-r-number-is-creeping-up-does-that-mean-a-second-wave-is-on-the-way-142580\">This rather good article from Jasmina Panovska-Griffiths at The\u00a0Conversation<\/a> links to four different studies, and sums up:<\/p>\n<blockquote><p>At the onset of the epidemic in the UK, different studies estimated R in the UK to be 2.4, 2.6, around 3, or between 3 and 4.<\/p><\/blockquote>\n<p>From other stuff I&#8217;ve read, I\u00a0suspect it maybe wasn&#8217;t as high as 4. It\u00a0did <em>look<\/em> like a very fast take-off in March, but it&#8217;s possible that people had brought it into the country in a lot of different places before anyone noticed, which could&#8217;ve made it look faster when people <em>did<\/em> notice. Iceland did loads of testing early on, and their data shows that <a title=\"Interview with Kari Stefansson, who did the genetic sequencing project in Iceland.\" href=\"https:\/\/www.sciencemuseumgroup.org.uk\/blog\/hunting-down-covid-19\/\">UK people were already bringing the virus to Iceland in February<\/a>:<\/p>\n<blockquote><p>We found that a large number of the original cases came from the UK.<\/p>\n<p>The\u00a0spread of the virus was much greater in the UK early on than people realised. They might have even preceded those from the Alps. We don\u2019t know exactly, but these cases could be from as early as February. &#8230;<\/p>\n<p>&#8230; as soon as the population screening started, it\u00a0was dominated by UK-origin virus, so this was spreading quickly through the Icelandic population from February.<\/p><\/blockquote>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#r-in-april\" name=\"footnote.r-in-april\">38<\/a>. &#8220;<strong>Between 0.6 and 0.9<\/strong>&#8220;: I got this figure via <a href=\"https:\/\/www.wired.co.uk\/article\/coronavirus-r-number-uk\">an article in Wired, by Matt Reynolds<\/a>:<\/p>\n<blockquote><p>At the April 30 press conference, the UK\u2019s chief scientific officer Patrick Vallence said that the UK\u2019s R0 was between 0.6\u00a0and\u00a00.9 while the figure in London was between 0.5\u00a0and\u00a00.7.<\/p><\/blockquote>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#r-in-england-in-community-in-may\" name=\"footnote.r-in-england-in-community-in-may\">39<\/a>. <strong>R in the community in England in May<\/strong>: The\u00a0original announcement from Imperial College is here: &#8220;<a href=\"https:\/\/www.imperial.ac.uk\/news\/199634\/first-findings-published-from-largest-home\/\">First findings published from largest home COVID-19 testing programme<\/a>. The\u00a0paper itself is &#8220;<a href=\"https:\/\/www.medrxiv.org\/content\/10.1101\/2020.07.10.20150524v1.full.pdf\">Community prevalence of SARS-CoV-2 virus in England during May 2020: REACT study<\/a>&#8221; (PDF).<\/p>\n<blockquote><p>The\u00a0REal-time Assessment of Community Transmission (REACT) study is a nationally representative prevalence survey of SARS-CoV-2 virus swab-positivity in the community in England.<\/p><\/blockquote>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#uk-r-in-may\" name=\"footnote.uk-r-in-may\">40<\/a>. <strong>Overall R in the UK in May<\/strong>: The\u00a0background context (the higher R if you include care homes &amp; hospitals) is from a BBC article mostly about the Imperial\/REACT research, &#8220;<a href=\"https:\/\/www.bbc.co.uk\/news\/uk-53414363\">Coronavirus: R number &#8216;lower than thought&#8217; before lockdown eased in England<\/a>&#8220;.<\/p>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#modelling-r\" name=\"footnote.modelling-r\">41<\/a>. <strong>Basis of the estimates of R for the UK<\/strong>: On the same page as the number, there&#8217;s an <a href=\"https:\/\/www.gov.uk\/guidance\/the-r-number-in-the-uk#how-are-r-and-growth-rates-estimated\">explanation of where they get the data and who discusses it<\/a>.<\/p>\n<blockquote><p>The growth rate and R are estimated by several independent modelling groups based in universities and Public Health England (PHE). The modelling groups discuss their individual R estimates at the Science Pandemic Influenza Modelling group (SPI-M) &#8211; a subgroup of SAGE. Attendees compare the different estimates of each and SPI-M collectively agrees a range for which the values are very likely to be within.<\/p><\/blockquote>\n<\/div>\n<div class=\"footnote\">\n<p><a class=\"para\" href=\"#positivity\" name=\"footnote.positivity\">42<\/a>. <strong>Positivity rate 5% aim<\/strong>: I haven&#8217;t seen the WHO&#8217;s original announcement. I&#8217;ve seen it mentioned a few places, e.g. <a href=\"https:\/\/coronavirus.jhu.edu\/testing\/testing-positivity\">from Johns Hopkins university<\/a>:<\/p>\n<blockquote><p>On May 12, 2020 the World Health Organization (WHO) advised governments that before reopening, rates of positivity in testing (ie, out of all tests conducted, how many came back positive for COVID-19) of should remain at 5% or lower for at least 14 days.<\/p><\/blockquote>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What do we know about covid numbers? And how do we know? Key points, plus explanations in common-sense terms. (Most examples from England or UK.)<\/p>\n","protected":false},"author":1,"featured_media":1766,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[51,17,33,46,45],"tags":[],"class_list":["post-1765","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-covid","category-geekery","category-measurements","category-systems","category-uk-politics"],"_links":{"self":[{"href":"https:\/\/www.uncharted-worlds.org\/blog\/wp-json\/wp\/v2\/posts\/1765","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.uncharted-worlds.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.uncharted-worlds.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.uncharted-worlds.org\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.uncharted-worlds.org\/blog\/wp-json\/wp\/v2\/comments?post=1765"}],"version-history":[{"count":25,"href":"https:\/\/www.uncharted-worlds.org\/blog\/wp-json\/wp\/v2\/posts\/1765\/revisions"}],"predecessor-version":[{"id":1792,"href":"https:\/\/www.uncharted-worlds.org\/blog\/wp-json\/wp\/v2\/posts\/1765\/revisions\/1792"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.uncharted-worlds.org\/blog\/wp-json\/wp\/v2\/media\/1766"}],"wp:attachment":[{"href":"https:\/\/www.uncharted-worlds.org\/blog\/wp-json\/wp\/v2\/media?parent=1765"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.uncharted-worlds.org\/blog\/wp-json\/wp\/v2\/categories?post=1765"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.uncharted-worlds.org\/blog\/wp-json\/wp\/v2\/tags?post=1765"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}