Thank you for holding the 🇬🇧 #Lockdown!

So important, as ~1 in 12 UK people (5.5 million) might have #COVID19. ~1 in 7 in London.

That would mean there are infected people in every park, in every shop, in every street. It might include you!

Thread w/calculations if interested:
Assume: 14,333 deaths (8958 hosp deaths + 60% for lag + non hosp)

Infection (not case) Fatality Rate: 1%

Days infection to death ~23.5

So 1.4m infected up to 23.5 days ago

~12 days to double (adj. for recovery) so ~2 doublings since

So infections now: ~5.5m. ~1m recovered
Model is v.sensitive to inputs, so low confidence + wide ranges apply.

More deaths --> more infections
Higher IFR% --> fewer infs (don't need as many for same deaths)
Longer days to death --> more infs (more time to double)
Higher doubling rate --> more infs
I've added 60% to the DHSC hospital deaths to account for reporting lag + non-hospital deaths.

27 Mar reports were 78% too low. Gap should have narrowed now but non-hosp increasing?

https://ons.gov.uk/peoplepopulationandcommunity/birthsdeathsandmarriages/deaths/bulletins/deathsregisteredweeklyinenglandandwalesprovisional/weekending27march2020 https://twitter.com/ChrisGiles_/status/1247458186300456960?s=20
We were adjusting the infection to death days to account for exponential skew. No longer necessary now growth has slowed. Thanks @cheianov as ever.

12 day doubling is assumed from recent case growth adjusted for assumed recoveries + assumption we're slowing similar to Italy.
UK Government (bizarrely) don't report recovery rates. I'm assuming 18 day average illness duration so counting new cases from past 18 days at 91% and extrapolating to assume "live infections" as 85%, given cases are the more serious.

~1m recovered to date.
Illustration implies total UK death toll of ~69k...

But only if IFR is 1% + we see zero new infections.

If our ICU capacity is overrun, the IFR% will spike.

New infections depends on hard #Lockdown + test/trace/quarantine.

Similar to: http://covid19.healthdata.org/united-kingdom 

@IHME_UW
A wave is crashing over our ICUs.

We can't reduce the size of that wave because it's caused by infections from 2-5 weeks ago.

We can improve our readiness by scaling ICUs + protecting NHS staff.

We can stop the wave getting bigger + longer by hard #Lockdown + test/trace/quar.
It's tempting to think... "There's 14k deaths and #Covid19 kills about 1 in 100, so there must be ~1.4 infections".

The problem is you're nearly right. But those ~1.4m infections were ~3 weeks ago. That's how long it takes to kill.

They've been doubling every ~12 days since
This isn't the best way of estimating % infected!

We're waiting for people to die, assuming fatality rate to judge how many infections drove those deaths, then using doubling rates to judge infections today.

A better way? Random pop. sample testing! https://twitter.com/JamieWoodhouse/status/1247187400876580864?s=20
Why is estimating # infected more important than just tested "cases"?

1⃣ Infected people are doing the infecting. The "cases" are in hospital/dead/immune

2⃣ If you know # infected and # deaths you can assess how deadly this thing really is (IFR%, not just "case" fatality)
3⃣ Telling public % infected helps us comply with #Lockdown

BJ's 23 Mar speech should have started:

"There are infected people in every train, in every shop, in every park, in every tube... you might even be one of them... please take what I am about to say very seriously..."
This poll shows a dangerous level of complacency across the UK. I suspect this is worse in the real world.

Most people think less than a million are infected! That's what happens when govt + press only talk about the "confirmed cases" iceberg tip. https://twitter.com/JamieWoodhouse/status/1245291470107672576?s=20
4⃣ "Total infected" tells us how many people are going to be coming through our ICU capacity in the next few weeks and whether that will be overrun.

If it is, #Covid19 will kill more than 1%. When you run out of ICU beds / ventilators, many more die as in Italy/Spain.
A powerful visualisation of deadly UK #Covid19 complacency:

"Right things... at the right time..." or "Too little, too late"?

H/t @Imperial_JIDEA
Amateur epidemiologists like me are annoying, but as long as we have pro epidemiologists saying things like:

- 1000x deaths or
- "2-5x cases" or
- 734k or
- 50%+ or
- "We have no way of knowing" (we do - pop sample tests!)

It feels useful to have a top down sanity check?
#Lockdown is hard.

But every day, more people recover. Maybe 1 million have so far in 🇬🇧!

Every day, the strictness of our #Lockdown determines how many new people are infected.

That balance will determine whether our NHS can cope and how many lives we can save.

Thank you!
You can follow @JamieWoodhouse.
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