From 9a1b9d6be32fe5f0cbc3c8421ebacc89576ffaad Mon Sep 17 00:00:00 2001 From: Nicky Case Date: Mon, 27 Apr 2020 00:03:42 -0400 Subject: [PATCH] so very freaking close to done --- css/index.css | 35 +- index.html | 752 +++++++++++++++++++++++---------------- pics/dp3t.png | Bin 0 -> 932743 bytes pics/exponential.png | Bin 0 -> 128152 bytes pics/graphs_q.png | Bin 0 -> 12387 bytes pics/masks.png | Bin 0 -> 129636 bytes pics/plan.png | Bin 0 -> 92186 bytes pics/r.png | Bin 0 -> 15771 bytes pics/r2.png | Bin 0 -> 59173 bytes pics/r3.png | Bin 0 -> 30240 bytes pics/r4.png | Bin 0 -> 50270 bytes pics/seir.png | Bin 0 -> 51752 bytes pics/seirs.png | Bin 0 -> 55834 bytes pics/sir.png | Bin 0 -> 44580 bytes pics/spread.png | Bin 0 -> 48504 bytes pics/susceptibles.png | Bin 0 -> 64213 bytes pics/timeline1.png | Bin 0 -> 38467 bytes pics/timeline2.png | Bin 0 -> 41551 bytes pics/timeline3.png | Bin 0 -> 51273 bytes sim/index.html | 33 +- sim/js/Controls.js | 15 +- sim/js/Model.js | 8 +- sim/js/Stages.js | 330 +++++++++++------ sim/sim.css | 4 +- words/words.html | 743 +++++++++++++++++++++++--------------- words/words.md | 542 +++++++++++++++++----------- words/words_epi_101.html | 204 ----------- words/words_epi_101.md | 163 --------- 28 files changed, 1527 insertions(+), 1302 deletions(-) create mode 100644 pics/dp3t.png create mode 100644 pics/exponential.png create mode 100644 pics/graphs_q.png create mode 100644 pics/masks.png create mode 100644 pics/plan.png create mode 100644 pics/r.png create mode 100644 pics/r2.png create mode 100644 pics/r3.png create mode 100644 pics/r4.png create mode 100644 pics/seir.png create mode 100644 pics/seirs.png create mode 100644 pics/sir.png create mode 100644 pics/spread.png create mode 100644 pics/susceptibles.png create mode 100644 pics/timeline1.png create mode 100644 pics/timeline2.png create mode 100644 pics/timeline3.png delete mode 100644 words/words_epi_101.html delete mode 100644 words/words_epi_101.md diff --git a/css/index.css b/css/index.css index a6006da..70c13f2 100644 --- a/css/index.css +++ b/css/index.css @@ -5,8 +5,11 @@ body{ font-weight: 100; line-height: 1.7em; } +b, strong{ + font-weight: bold; +} -article > p, article > ul{ +article > p, article > ul, article > ol, article > h1, article > h2, article > h3{ width: 640px; margin:1em auto; } @@ -37,4 +40,34 @@ iframe{ border:2px solid #eee; display: block; margin:0 auto; +} + +icon{ + display: inline-block; + width: 1em; + height: 1em; + position: relative; + top:0.1em; + background-size: 100% 100%; +} +icon[s]{ + background-image: url(../icons/s.png); +} +icon[e]{ + background-image: url(../icons/e.png); +} +icon[i]{ + background-image: url(../icons/i.png); +} +icon[r]{ + background-image: url(../icons/r.png); +} + +p > img{ + width: 100%; + border: 1px solid #ddd; + margin: 0.5em auto; +} +sub{ + line-height: 0; } \ No newline at end of file diff --git a/index.html b/index.html index c3d60dd..7ff423c 100644 --- a/index.html +++ b/index.html @@ -9,6 +9,8 @@ + + @@ -17,562 +19,716 @@
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What Happens Next?

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COVID-19 Futures, Explained With Playable Simulations

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What Happens Next?

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COVID-19 Futures, Explained With Playable Simulations

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(28 min play/read)

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{WIP, DON'T SHARE YET THX!}

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"The only thing to fear is fear itself" was stupid advice.

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If people fear fear itself, they'll deny danger because they don't want to create "mass panic". The problem's not fear, but how we use our fear. Fear, used well, gives you energy to deal with current dangers, and prepare for future dangers.

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Sure, don't hoard toilet paper – but if policymakers fear fear itself, they'll downplay dangers to us to avoid "mass panic". Fear's not the problem, it's how we channel our fear. Fear gives us energy to deal with dangers now, and prepare for dangers later.

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Honestly, the two of us (Marcel, epidemiologist + Nicky, artist/coder) are worried about the future. We bet you are, too. That's why we want to channel our worries into making these playable simulations, so that you can channel your worries into understanding:

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Honestly, we (Marcel, epidemiologist + Nicky, art/code) are worried. We bet you are, too! That's why we've channelled our fear into making these playable simulations, so that you can channel your fear into understanding:

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This guide is meant to give you hope and fear. To beat this virus in a way that also protects our mental & financial health, we need optimism to create plans, and pessimism to create backup plans. As Gladys Bronwyn Stern once said, “The optimist invents the airplane and the pessimist the parachute.”

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This guide (published April 30th, 20201) is meant to give you hope and fear. To beat COVID-19 in a way that also protects our mental & financial health, we need optimism to create plans, and pessimism to create backup plans. As Gladys Bronwyn Stern once said, “The optimist invents the airplane and the pessimist the parachute.”

So, buckle in: we're about to experience some turbulence.

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The Last Few Months

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The Last Few Months

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Pilots use flight simulators to learn how not to crash planes.

Epidemiologists use epidemic simulators to learn how not to crash humanity.

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So, let's create a very simple "epidemic flight simulator"! Here, we have some (i) Infectious people & some not-yet-infected (s) Susceptible people. (i)s turn (s)s into more (i)s:

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So, let's make a simple "epidemic flight simulator"! In this simulation, Infectious people can turn Susceptible people into more Infectious people:

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// pic

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At the start of a COVID-19 outbreak, it's estimated that the virus jumps from an (i) to an (s) every 4 days.1 (On average. Remember, there's lots of variation.)

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It's estimated that, at the start of a COVID-19 outbreak, the virus jumps from an to an approximately every 4 days.2

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Here's a simulation of a population with just 0.001% (i) and 99.999% (s), over 6 months. If we simulate "double every 4 days" and nothing else, what happens?

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If we simulate "double every 4 days" and nothing else, on a population starting with just 0.001% , what happens?

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Click "Start" to play the simulation! (Afterwards, you can re-play the simulation with different settings)

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Click "Start" to play the simulation! You can re-play it later with different settings: (technical caveats: 3)

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This is the exponential growth curve. Starts small, then explodes. "Oh it's just a flu" to "Oh right, flus don't create mass graves in rich cities".

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// pic - exponential double rice

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But, this simulation is wrong. Exponential growth, thankfully, can't go on forever. One thing that stops a virus from spreading is if others already have the virus:

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// pic - 100% spread, 50% spread, 0% spread

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The more (i)s there are, the faster (s)s become (i)s, but the fewer (s)s there are, the slower (s)s become (i)s.

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The more s there are, the faster s become s, but the fewer s there are, the slower s become s.

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Now, what happens if we simulate that?

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How's this change the growth of an epidemic? Let's find out:

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// sim

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This is the "S-shaped" logistic growth curve. Starts small, explodes, then slows down again.

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But, this simulation is still wrong. We're missing the fact that (i) Infectious people eventually stop being infectious, either by 1) recovering, 2) "recovering" with lung damage, or 3) dying.

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But, this simulation is still wrong. We're missing the fact that Infectious people eventually stop being infectious, either by 1) recovering, 2) "recovering" with lung damage, or 3) dying.

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For simplicity's sake, let's pretend that all (i) Infectious people become (r) Recovered. (r)s can't be infected again, and let's pretend – for now! – that they stay immune for life.

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For simplicity's sake, let's pretend that all Infectious people become Recovered. (Just remember that, in reality, some of them are dying.) s can't be infected again, and let's pretend – for now! – that they stay immune for life.

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When you're infected with COVID-19, it's estimated you stay (i) infectious for 12 days.2 (Again, on average.)

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With COVID-19, it's estimated you're Infectious for approximately 10 days.4 Let's simulate a population starting at 100% , most of whom recover after 10 days, then most of the remainder recover after another 10 days, then most of that remainder recover after another 10 days, etc:

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Here's a simulation that starts with 100% (i). Most people recover after 12 days, then most of the remainder recover after another 12 days, then most of the remainder of that remainder recover after another 12 days, etc:

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// sim

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This is the opposite of exponential growth, the exponential decay curve.

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Now, what happens if you combine this with the S-shaped logistic curve of infection?

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Now, what happens if you simulate S-shaped logistic growth with recovery?

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// pic

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Let's find out. Here's a simulation of an epidemic with recovery:

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Let's find out:

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// sim

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And that's where that famous curve comes from! It's not a bell curve, it's not even a "log-normal" curve. It has no name. But you've seen it a zillion times, and beseeched to flatten.

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// pic: 3 rules

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This is the the SIR Model5Susceptible Infectious Recovered – the second-most important idea in Epidemiology 101:

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This is the the SIR Model, ((s) Susceptible → (i) Infectious → (r) Recovered) the second-most important idea in Epidemiology 101.

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Note: The simulations that inform policy are far more sophisticated than this! But the SIR model can still help us understand a lot about COVID-19, even if missing the nuances.

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NOTE: The simulations that inform policy are far more sophisticated than this! But the SIR Model can still explain the same findings, even if missing the nuances.

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Actually, let's add one more nuance: before an (s) becomes an (i), they first become an (e) Exposed person, when they're infected but not yet infectious – they have the virus but can't pass it on (yet).

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Actually, let's add one more nuance: before an becomes an , they first become Exposed. This is when they have the virus but can't pass it on yet – infected but not yet infectious.

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(This variant is called the SEIR Model, where "E" stands for (e) Exposed. Note this isn't the everyday meaning of "exposed", where you might or might not have the virus. In this technical definition, "Exposed" means you definitely have it. Yeah, science terminology is bad.)

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For COVID-19, it's estimated that you're in this "latent period" for around 3 days.3 What happens if we add that to the simulation?

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(This variant is called the SEIR Model6, where the "E" stands for "Exposed". Note this isn't the everyday meaning of "exposed", when you might or might not have the virus. In this technical definition, "Exposed" means you definitely have it. Science terminology is bad.)

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// sim

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For COVID-19, it's estimated that you're infected-but-not-yet-infectious for approximately 3 days.7 What happens if we add that to the simulation?

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Not much, actually! The "latent period" only changes when the peak happens, but the height of the peak – and total people infected – remain the same:

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// pics

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Not much, actually! How long you stay Exposed changes the ratio of -to-, and when the peak of current cases (+) happens... but the height of that peak, and the total % of people infected in the end, stays the same.

Why's that? Because of the first-most important idea in Epidemiology 101:

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// pic - "R"

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Which is short for "Reproduction Number". It's the average number of people an (i) infects before they recover (or die).

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Short for "Reproduction number". It's the average number of people an infects before they recover (or die).

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// R > 1, R = 1, R < 1 pic

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R changes over the course of an outbreak, as we get more immunity & interventions.

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R0 (pronounced R-nought) is what R is at the start of an outbreak, before immunity or interventions. R0 is also called the "basic reproduction number". R0 more closely reflects the power of the virus itself, but it still changes from place to place. For example, because heat 'kills' coronaviruses, R0 for COVID-19 is lower in hot places than cold ones. Not low enough to contain it, though.

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R0 (pronounced R-nought) is what R is at the start of an outbreak, before immunity or interventions. R0 more closely reflects the power of the virus itself, but it still changes from place to place. For example, R0 is higher in dense cities than sparse rural areas.

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(A lot of news outlets – and even academic papers! – confuse R and R0. Again, science terminology is bad.)

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(Most news articles – and even some scientific papers! – confuse R and R0. Again, science terminology is bad)

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The R0 for the flu4 is around 1.3. The R0 estimates for COVID-19 are usually between 2 and 3, maybe as high as 6.5

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The R0 for "the" seasonal flu is around 1.288. This means, at the start of a flu outbreak, each infects 1.28 others on average. (If it sounds weird that this isn't a whole number, remember that the "average" mom has 2.4 children. This doesn't mean there's half-children running about.)

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In our simulations, an (i) recovers in 12 days, but infects one new (s) every 4 days. That means, on average, an (i) infects 3 (s)s before they recover. So for our simulations, R0 is 3.

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The R0 for COVID-19 is estimated to be around 2.29, though a not-yet-finalized CDC study estimates it was 5.7(!) in Wuhan.10

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Play around with this R0 calculator, to see how R0 depends on recovery time & new-infection time:

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In our simulations – at the start & on average – an infects someone every 4 days, over 10 days. "4 days" goes into "10 days" two-and-a-half times. This means – at the start & on average – each infects 2.5 others. Therefore, R0 = 2.5. (caveats:11)

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// calc

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Play with this R0 calculator, to see how R0 depends on recovery time & new-infection time:

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But remember, the fewer (s)s there are, the slower (s)s become (i)s. - R depends not just on R0, but also how many people are no longer Susceptible – due to, say, having recovered & gotten natural immunity.

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// calc 2

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But remember, the fewer s there are, the slower s become s. The current reproduction number (R) depends not just on the basic reproduction number (R0), but also on how many people are no longer Susceptible. (For example, by recovering & getting natural immunity.)

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When enough people have natural immunity, R < 1, and the virus is contained! This is called herd immunity, and while it's terrible policy, (we'll explain why later – it's not for the reason you may think!) it's essential to understanding Epidemiology 101.

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Now, let's play the last simulation again, but showing R0, R over time, and the herd immunity threshold:

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When enough people have natural immunity, R < 1, and the virus is contained! This is called herd immunity, and while it's terrible policy (we'll explain why later – it's not for the reason you may think!), it's essential to understanding Epidemiology 101.

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// sim

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Now, let's play the SEIR Model again, but showing R0, R over time, and the herd immunity threshold:

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Note: Total cases (the gray curve) does not stop at herd immunity, but overshoots it! And it does this exactly when current cases (the pink curve) peaks. This happens no matter how you change the settings:

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// pic

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Note: Total cases (gray curve) does not stop at herd immunity, but overshoots it! And it does this exactly when current cases (pink curve) peaks. (This happens no matter how you change the settings – try it for yourself!)

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This is because, by definition, when there are more non-(s)s than the herd immunity threshold, you get R < 1. And, by definition, R < 1 means new cases stop growing.

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This is because when there are more non-s than the herd immunity threshold, you get R < 1. And when R < 1, new cases stop growing: a peak.

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If there's only one lesson you take away from this whole guide, here it is, in big shiny letters:

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If there's only one lesson you take away from this guide, here it is – it's an extremely complex diagram so please take time to fully absorb it:

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R > 1 = bad

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R < 1 = good (R=1, meh)

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This means: we do NOT need to catch all transmissions, or even nearly all transmissions, to stop COVID-19!

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It's a paradox. COVID-19 is incredibly contagious, yet to contain it, we "only" need to stop 67% of infections. 67%?! If that was a school grade, that's a D+. But if R0 = 3, cutting that by 67% gives us R = 0.99, which is R < 1, which means the virus is contained!

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It's a paradox. COVID-19 is extremely contagious, yet to contain it, we "only" need to stop more than 60% of infections. 60%?! If that was a school grade, that's a D-. But if R0 = 2.5, cutting that by 61% gives us R = 0.975, which is R < 1, virus is contained!12

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(And even if, extreme-worst-case, R0 = 6, you still "only" need to stop 84% of transmissions. That's a B grade.)

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// calculator - custom

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(If you think R0 or the other numbers in our simulations are too low/high, that's good you're challenging our assumptions! There'll be a "Sandbox Mode" at the end of this guide, where you can plug in your own numbers, and simulate what happens.)

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Every COVID-19 intervention you've heard of – handwashing, social distancing, lockdowns, self-isolation, contact tracing & quarantining, face masks, even "herd immunity" – they're all doing the same thing:

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Every COVID-19 intervention you've heard of – handwashing, social/physical distancing, lockdowns, self-isolation, contact tracing & quarantining, face masks, even "herd immunity" – they're all doing the same thing:

Getting R < 1.

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So now, let's use our "epidemic flight simulator" to figure out the next few months! How will we get R < 1 in a way that protects not just our physical health, but also our mental health, social health, and financial health?

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So now, let's use our "epidemic flight simulator" to figure this out: How can we get R < 1 in a way that also protects our mental health and financial health?

Brace yourselves for an emergency landing...

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The only thing to fear is the idea that the only thing to fear is fear itself.


  1. -

    hello! 

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    (NOTE: This guide was published on April 30th, 2020. Many details will become outdated, but Epidemiology 101 will remain true, and we're confident this guide will cover 95% of possible futures.) 

  2. -

    but a snitch ain't one 

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    https://wwwnc.cdc.gov/eid/article/26/6/20-0357_article 

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  3. + +
  4. +

    source 

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  5. + +
  6. +

    https://link.springer.com/article/10.1007/s11427-020-1661-4 

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  7. + +
  8. +

    source, and sidenote on 'infectious' 

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  9. + +
  10. +

    source 

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  11. + +
  12. +

    source 

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  13. + +
  14. +

    https://bmcinfectdis.biomedcentral.com/articles/10.1186/1471-2334-14-480 

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  15. + +
  16. +

    https://pubmed.ncbi.nlm.nih.gov/31995857/ https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7001239/ 

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  17. + +
  18. +

    https://wwwnc.cdc.gov/eid/article/26/7/20-0282_article 

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  19. + +
  20. +

    sas 

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  21. + +
  22. +

    exact formula... 

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  23. + +
  24. +

    https://www.statista.com/statistics/1105420/covid-icu-admission-rates-us-by-age-group/ Lower end, 5%. 

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  25. + +
  26. +

    https://sccm.org/Blog/March-2020/United-States-Resource-Availability-for-COVID-19 

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  27. + +
  28. +

    https://www.theatlantic.com/health/archive/2020/03/coronavirus-pandemic-herd-immunity-uk-boris-johnson/608065/ 

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  29. + +
  30. +

    https://onlinelibrary.wiley.com/doi/full/10.1111/j.1365-3156.2006.01568.x 

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  31. + +
  32. +

    https://cmmid.github.io/topics/covid19/comix-impact-of-physical-distance-measures-on-transmission-in-the-UK.html 

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  33. + +
  34. +

    log scale 

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  35. + +
  36. +

    https://science.sciencemag.org/content/early/2020/04/14/science.abb5793? 

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  37. + +
  38. +

    https://journals.sagepub.com/doi/abs/10.1177/1745691614568352 

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  39. + +
  40. +

    sources plz, esp for incubation period 5 days 

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  41. + +
  42. +

    https://www.nature.com/articles/s41591-020-0869-5 

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  43. + +
  44. +

    asds 

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  45. + +
  46. +

    https://science.sciencemag.org/content/early/2020/04/09/science.abb6936 

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  47. + +
  48. +

    incoming 

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  49. + +
  50. +

    outgoing_aerosols 

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  51. + +
  52. +

    outgoing_droplets 

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  53. + +
  54. +

    homemade 

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  55. + +
  56. +

    ss 

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  57. + +
  58. +

    That BMJ article 

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  59. + +
  60. +

    +
  61. + +
  62. +

    ss 

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  63. + +
  64. +

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  65. + +
  66. +

    https://papers.ssrn.com/sol3/Papers.cfm?abstract_id=3551767 The average R-value of these 100 cities is 1.83 , One-degree Celsius increase in temperature and one percent increase in relative humidity lower R by 0.0225  

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  67. + +
  68. +

    https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2851497/ 

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  69. + +
  70. +

    https://pubmed.ncbi.nlm.nih.gov/2170159/ 

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  71. + +
  72. +

    https://www.nature.com/articles/d41586-020-01063-8 

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  73. + +
  74. +

    https://www.nature.com/articles/d41586-020-00751-9 

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  75. + +
  76. +

    https://www.statnews.com/2020/04/01/navigating-covid-19-pandemic/ 

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