Showing posts with label Statistical modeling. Show all posts
Showing posts with label Statistical modeling. Show all posts

Monday, March 30, 2020

30 March 2020 Projected Number of US Deaths from Now into April 2020

I have two models that I'm currently using to project the number of COVID-19 deaths for the first half of April. Here are the numbers: 


3/30/2020

3,179312849
3/31/2020

4,017323600
4/1/2020

5,074334548
4/2/2020

6,410345746
4/3/2020

8,097357259
4/4/2020

10,229369171
4/5/2020

12,9223711587
4/6/2020

16,3243814639
4/7/2020

20,6213918495
4/8/2020

26,0504023366
4/9/2020

32,9084129521
4/10/2020

41,5724237296
4/11/2020

52,5164347120
4/12/2020

66,3424459530
4/13/2020

83,8074575210
4/14/2020

105,8714695020
4/15/2020

133,74347120047


The first column is of course the date. The third column is the projected deaths from what I call the "aggressive model." The aggressive model has over the last week been more accurate than the "conservative model." The number of deaths for the conservative model are found in the fifth column. (The numbers in the fourth column are "index" values used in the computations.) 

Both models predict that around 4/4 or 4/5, the number of US deaths will be near 10K. And around 4/14 and 4/15 the number of deaths will be around 100K. I'm hoping that things will crest soon and we will not see these numbers anytime soon. But for now I don't see the curves beginning to asymptote. If they do not begin to asymptote, we could see a million deaths in the US from COVID-19 by the end of April or the first part of June.

UPDATE: 

I stopped showing my projections above on 4/15 because the numbers were frightening enough. However, the Federal Government has made an announcement that if everything from now goes perfectly, we should expect the number of deaths to be up to 200,000. I believe they're making the statement that they did because they believe that the predicted number of deaths from COVID-19 are pretty much "baked in." Given that, I decided to show more of what my models predict, this time to 4/30. I begin with today's number of deaths (2nd column) and go from there. To review, the aggressive model is the 3rd column and the conservative model is the 5th column. Both models predict over 2 million deaths by 4/30. I believe the limiting factor on this many deaths in this short a time is the number people an infected person can infect. At some point the pool people who can be infected because so many are infected becomes increasingly limited. Where that comes into play is something I haven't had a chance to work through. I suspect that it something on the order of when 30 to 50 percent of the population becomes infected. 


3/30/20203,1483,179312,849
3/31/2020

4,017323,600
4/1/2020

5,074334,548
4/2/2020

6,410345,746
4/3/2020

8,097357,259
4/4/2020

10,229369,171
4/5/2020

12,9223711,587
4/6/2020

16,3243814,639
4/7/2020

20,6213918,495
4/8/2020

26,0504023,366
4/9/2020

32,9084129,521
4/10/2020

41,5724237,296
4/11/2020

52,5164347,120
4/12/2020

66,3424459,530
4/13/2020

83,8074575,210
4/14/2020

105,8714695,020
4/15/2020

133,74347120,047
4/16/2020

168,95248151,667
4/17/2020

213,43249191,615
4/18/2020

269,62150242,085
4/19/2020

340,60351305,848
4/20/2020

430,27152386,405
4/21/2020

543,54753488,181
4/22/2020

686,64454616,764
4/23/2020

867,41455779,214
4/24/2020

1,095,77356984,453
4/25/2020

1,384,253571,243,749
4/26/2020

1,748,678581,571,343
4/27/2020

2,209,044591,985,221
4/28/2020

2,790,609602,508,112

Thursday, March 19, 2020

Update: 20 March 2020 Projected US Numbers Infected by the Novel CoronaVirus

Update: As of 20 March 2020 1600 GMT over 200 people (I entered 202 into the model) have been reported to have died in the US of COVID-19. Here are my projections for an 1) an infection rate of 2.0, 2) 2.5 and 3) 3.0. Infection rate is the number of people an infected person will infect. I have seen reports of 2.0 to 3.0 as the infection rate.


Infection rate of 2.0



  • Total number infected as of today: 57,988
  • Projected number of deaths in approximately 15 to 17 days: 1143
  • Number of infected people who will require hospitalization: 9858

Infection rate of 2.5



  • Total number infected as of today: 101,301
  • Projected number of deaths in approximately 15 to 17 days: 1996
  • Number of infected people who will require hospitalization: 17,221


Infection rate of 3.0


  • Total number infected as of today: 159,797
  • Projected number of deaths in approximately 15 to 17 days: 3149
  • Number of infected people who will require hospitalization: 27,166
Social distancing is important as these numbers show. Do what you can not to become someone included in these numbers. 

Wednesday, March 18, 2020

COVID-19 Further Update: 18 March 2020 US Deaths at 132, Projected Number of Infected Report

As of today, I saw a report that 116 people have been reported to have died in the US of COVID-19. Here are my projections for an 1) an infection rate of 2.0, 2) 2.5 and 3) 3.0. Infection rate is the number of people an infected person will infect. I have seen reports of 2.0 to 3.0 as an infection rate.


Infection rate of 2.0



  • Total number infected as of today: 51120
  • Projected number of deaths in approximately 15 to 17 days: 747
  • Number of infected people who will require hospitalization: 8690

Infection rate of 2.5



  • Total number infected as of today: 89302
  • Projected number of deaths in approximately 15 to 17 days: 1304
  • Number of infected people who will require hospitalization: 15,181

Infection rate of 3.0


  • Total number infected as of today: 140,869
  • Projected number of deaths in approximately 15 to 17 days: 2058
  • Number of infected people who will require hospitalization: 23,948


Now, does everyone understand why cities are being locked down?

Tuesday, March 17, 2020

Update: 17 March 2020 COVID-19 Model Prediction of Number Based On Current Number of Deaths -- 88 to 104 deaths today and why social distancing is important.

Further updates below.
Here's what my model predicts as of GMT 1830, 17 March 2020: 

Age Ranges, YearsRate of DeathReported DeathsProjected Number of Infected at Present (based on average time of illness until death)Projected number of who are infected nowProjected number of deaths based on the number currently infected (based on average time of illness until death)
80 plus0.148271821032153
70-790.08222751556124
60-690.03614389220079
50-590.01310769435157
40-490.00471750989940
30-390.002420001131423
20-290.00231500848517
10-190.002150028286
0-90.0092152080






Infection rate2.0




Average time of illness until death (weeks)2.5




Total Infected based on current number of deaths8286




Total Infected Now46874




Total number of deaths88




Projected total number of deaths based on the current number of infected individuals498




Projected number who will require hospitalization based on Total Infected Now value7969





Predicted Total of infected in the US as of the time of publication: 46,874. Projected number of deaths in 2.5 weeks is 498. The number that will need hospitalization is 7969. 


A Further Update -- Just Passed 100 Deaths Today

Projected number of currently infected: 48,348. Projected number of deaths in approximately 2.5 weeks: 566. The number that will need hospitalization of those currently infected: 8219.


Another Update 104 deaths and a change in the infection rate:



As well as changing the number of deaths, I changed the infection rate to 2.5. Here are the results:


Age Ranges, YearsRate of DeathReported DeathsProjected Number of Infected at Present (based on average time of illness until death)Projected number of who are infected nowProjected number of deaths based on the number currently infected (based on average time of illness until death)
80 plus0.148362432404356
70-790.08253133088247
60-690.036174724667168
50-590.013118468362109
40-490.004717501729469
30-390.002420001976440
20-290.002315001482330
10-190.0021500494110
0-90.0095394180






Infection rate2.5




Average time of illness until death (weeks)2.5




Total Infected based on current number of deaths8577




Total Infected Now84760




Total number of deaths104




Projected total number of deaths based on the current number of infected individuals1028




Projected number who will require hospitalization based on Total Infected Now value14409





A change in the infection rate from 2.0 to 2.5 nearly doubles the number of infected to 84,760. The projected number of deaths in 2 to 2.5 weeks is 1028. The projected number of people who will require hospitalization is 14,409. 

Change the infection rate to 2.0 and the results are the following:

  • Number of infected: 48,520
  • Number of deaths: 588
  • Number requiring hospitalization: 8248
This is why the San Francisco area is on lock-down. This is why bars and restaurants are being shutdown. That's why there are no NBA games, etc. Social distancing can have a major effect on how this will play out.

However, it doesn't fix the failures of the Trump Administration, Trump's outlandish incompetence. Trump has been a catastrophic failure as a businessman and he has transferred that complete lack of competence to the Presidency. Let's all hope for the sake of the World, that Trump does not get another 4 years as President. What I would like to see would be for Trump to get 20 years (at least) in prison along with many other of his associates of what can only be considered to be a nightmare of an administration.