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Caveats and Comments
1
Overview:
This is my analysis, not Stanford’s. My plots and regressions are intended to understand the trajectory of COVID. It is not confidential and can be freely shared.
The R program code and PowerPoint files are available at https://github.com/StevenLShafer/COVID19/. Please contact me at steven.shafer@Stanford.edu if you
would like to be added or removed from the recipient list. Suggestions are most welcome! You are welcome to use the R code on GitHub for any purpose.
I am attempting to keep the analysis and commentary apolitical. I am now including partisan lean as a metric to help understand the epidemic. I occasionally point
out misrepresentations by government officials. I occasionally point out where government recommendations have placed Americans at increasing risk.
I try to provide a daily update in the morning, except Sundays. My analysis my be delayed by my clinical responsibilities as a Stanford anesthesiologist.
There is a lot of information on the figures. If something isn’t clear, please see the explanation on slide 2.
Data sources:
• USA Case Data: https://github.com/CSSEGISandData/COVID-19/raw/master/csse_covid_19_data/csse_covid_19_time_series/time_series_covid19_confirmed_US.csv
• USA Death Data: https://github.com/CSSEGISandData/COVID-19/raw/master/csse_covid_19_data/csse_covid_19_time_series/time_series_covid19_deaths_US.csv
• USA Testing and Hospitalization Data: https://raw.githubusercontent.com/COVID19Tracking/covid-tracking-data/master/data/states_daily_4pm_et.csv
• Global Case Data: https://github.com/CSSEGISandData/COVID-19/raw/master/csse_covid_19_data/csse_covid_19_time_series/time_series_covid19_confirmed_global.csv
• Global Death Data: https://github.com/CSSEGISandData/COVID-19/raw/master/csse_covid_19_data/csse_covid_19_time_series/time_series_covid19_deaths_global.csv
• Global Testing Data: https://raw.githubusercontent.com/owid/covid-19-data/master/public/data/owid-covid-data.csv
• Mobility Data: https://www.gstatic.com/covid19/mobility/Global_Mobility_Report.csv
• Partisan Lean: MIT Election Data and Science Lab: https://doi.org/10.7910/DVN/VOQCHQ/HEIJCQ
• Ensemble Model: https://github.com/reichlab/covid19-forecast-hub/raw/master/data-processed/COVIDhub-ensemble/2020-xx-xx-COVIDhub-ensemble.csv
Models:
1. Future projections of case numbers are based on the Gompertz function (https://en.wikipedia.org/wiki/Gompertz_function): log 𝑐𝑢𝑚𝑢𝑙𝑎𝑡𝑖𝑣𝑒 𝑐𝑎𝑠𝑒𝑠 =
𝑐𝑢𝑟𝑟𝑒𝑛𝑡 𝑐𝑎𝑠𝑒𝑠 + 𝑚𝑎𝑥𝑖𝑚𝑢𝑚 𝑐𝑎𝑠𝑒𝑠 − 𝑐𝑢𝑟𝑟𝑒𝑛𝑡 𝑐𝑎𝑠𝑒𝑠 1 − 𝑒−𝑘 𝑡 . This is a naïve asymptotic model. k is the rate constant, such that log(2) / k = time to 50%
rise. t is the number of days. Wikipedia The Gompertz function is estimated from the last 3 weeks of data for cumulative cases (red dots in the figures).
Deaths are predicted from a log linear regression of deaths over the past 21 days. For the US, and individual states, I am also including the 98% prediction
interval from the COVID-19 Forecast Hub (https://covid19forecasthub.org/).
2. The rate of change in daily cases and deaths is the slope of delta cases / day over the last 14 days, divided by the average number of cases.
Locations
The locations for the modeling are where Pamela and I have family and friends, locations of interest to friends and colleagues, or countries in the news (e.g.,
China, South Korea, Sweden, Brazil) or with significant economic impact on the United States (e.g., Japan, Canada, Mexico). Locations are easy to add.
Stay safe, well, resilient, and kind.
Steve Shafer
steven.shafer@Stanford.edu
2,586,092
152,804
1
10
100
1,000
10,000
100,000
1,000,000
10,000,000
100,000,000
Actual(points)/Predicted(line)
Phase
Pre-Model
Modeled
Deaths
Tests
USA projection as of 2020-05-27
0
10,000
20,000
30,000
0
2,000
4,000
6,000
Cases/Day
Deaths/Day
Cases: 1,662,302 (32,123) -- Deaths: 98,220 (829) -- Case Mortality: 5.9% -- Daily Change in Cases: -0.5%
Explanation of the Figures
2
Brown dots:
cumulative tests
Red dots: cumulative cases
used to estimate Gompertz
function, presently set to last
3 weeks
Red line: predicted cumulative
cases based on the Gompertz
function estimated from the red
dots
Red number: total cases
on June 30th, based on
the Gompertz function
estimated from the red
dots
Black number: total
Deaths on July 31th,
based on log-linear
regression of the past
21 days
Black line: predicted
cumulative deaths, based
on a log linear regression
of deaths over past 21
days.
Axis for deaths / day, usually
1/10th of the axis for cases /
day on the left side of the
figure.
Green line: linear regression
over 8 days, used to calculate
percent increase / decrease
(see below)
Daily change in cases,
calculated as the slope of the
green line (above left) /
number of new cases
yesterday.
Case mortality:
cumulative deaths
/ cumulative cases.
Cases / day calculated
from cumulative cases
used to estimate the
Gompertz function
Cases / day calculated
from cumulative cases
not used to estimate the
Gompertz function
Deaths / day,
axis is on the left
Blue line: today
Blue dots: cumulative cases not
used to estimate Gompertz
function
Cumulative cases
(yesterday’s cases)
and cumulative deaths
(yesterday’s deaths)
Axis for cases / day.
Axis for deaths / day
appears to the right.
Geographic
location
Date of analysis,
also shown as
blue vertical line
below
Purple wedge: 98% ensemble
prediction interval from COVID-19
Forecast Hub (USA and US
States only)
Worldwide
25,812,939
881,354
1
10
100
1,000
10,000
100,000
1,000,000
10,000,000
100,000,000
Actual(points)/Predicted(line)
Phase
Pre-Model
Modeled
Deaths
Worldwide projection as of 2020-08-12
0
100,000
200,000
300,000
0
5,000
10,000
15,000
Cases/Day
Deaths/Day
Cases: 20,274,539 (194,665) -- Deaths: 740,998 (4,916) -- Case Mortality: 3.7% -- Daily Change: -1.2% Cases, -0.3% Deaths
2020-08-12 Summary: 3
USA
6,397,450
189,425
1
10
100
1,000
10,000
100,000
1,000,000
10,000,000
100,000,000
Actual(points)/Predicted(line)
Phase
Pre-Model
Modeled
Deaths
Tests
USA projection as of 2020-08-12
Mother'sDay
MemorialDay
July4th
July15,2020
0
20,000
40,000
60,000
80,000
0
1,000
2,000
3,000
4,000
Cases/Day
Deaths/Day
Cases: 5,141,208 (46,808) -- Deaths: 164,537 (1,074) -- Case Mortality: 3.2% -- Daily Change: -2.1% Cases, -1.3% Deaths
2020-08-12 Summary: 4
Japan, South Korea, Thailand, Vietnam
99,102
1,527
1
10
100
1,000
10,000
100,000
1,000,000
10,000,000
100,000,000
Actual(points)/Predicted(line)
Phase
Pre-Model
Modeled
Deaths
Tests
Japan, South Korea, Thailand, Vietnam projection as of 2020-08-12
0
500
1,000
1,500
2,000
0
25
50
75
100
Cases/Day
Deaths/Day
Cases: 69,233 (758) -- Deaths: 1,437 (7) -- Case Mortality: 2.1% -- Daily Change: -1.0% Cases, +5.1% Deaths
2020-08-12 Summary: 5
Western Europe
1,673,433
170,071
1
10
100
1,000
10,000
100,000
1,000,000
10,000,000
100,000,000
Actual(points)/Predicted(line)
Phase
Pre-Model
Modeled
Deaths
Tests
Western Europe projection as of 2020-08-12
0
20,000
40,000
60,000
80,000
0
1,000
2,000
3,000
4,000
Cases/Day
Deaths/Day
Cases: 1,551,666 (6,144) -- Deaths: 168,087 (11) -- Case Mortality: 10.8% -- Daily Change: +2.8% Cases, -3.3% Deaths
2020-08-12 Summary: 6
Worldwide cases
USA
BRA
IND
RUS
ZAF
MEX
PER
COL
CHL
IRN
ESP
GBR
SAU
PAK
BGD
ARG
ITA
TUR
FRA
DEU
IRQ
PHL
IDN
CAN
KAZ
EGY
ECU
BOL
CHN
ISR
UKR
SWE
DOM
BEL
BLR
ROU
NLD
GTM
POL
PRT
JPN
HND
NGA
GHA
KGZ
AFG
CHE
DZA
MAR
AZE
UZB
SRB
VEN
KEN
ETH
NPL
AUT
AUS
SLV
CZE
CMR
CIV
DNK
KOR
BGR
USA
0
2,000,000
4,000,000
1 6 11 16 21 26 31 36 41 46 51 56 61 66
Rank
Totalcasestodate
Worldwide cases
Excludes countries with population < 5,000,000
2020-08-12 Summary: 7
Worldwide cases
CHL
PER
USA
BRA
ISR
ZAF
SAU
BOL
SWE
COL
DOM
ESP
KGZ
BLR
BEL
ECU
KAZ
RUS
ARG
HND
GBR
SRB
PRT
IRQ
IRN
CHE
MEX
GTM
ITA
AZE
FRA
CAN
NLD
TUR
SLV
ROU
DNK
AUT
DEU
IND
BGR
UKR
CZE
GHA
BGD
PAK
FIN
PHL
POL
AFG
EGY
UZB
PRY
DZA
VEN
AUS
MAR
LBY
CMR
HTI
NPL
SEN
CIV
GIN
KEN
USA
None
1 in 200
1 in 100
1 in 67
1 in 50
1 in 40
1 6 11 16 21 26 31 36 41 46 51 56 61 66
Rank
Totalcasestodate
Worldwide cases
Excludes countries with population < 5,000,000
2020-08-12 Summary: 8
Average new cases over past 7 days
COL
PER
ISR
BRA
USA
ARG
BOL
ZAF
CHL
DOM
IRQ
ESP
KGZ
HND
ECU
GTM
SLV
KAZ
ROU
MEX
BEL
IND
SAU
SRB
LBY
PHL
RUS
IRN
NLD
VEN
MAR
PRY
SWE
FRA
UKR
BGR
UZB
DNK
CZE
CHE
AUS
GHA
ZMB
POL
BGD
PRT
AZE
DZA
KEN
TUR
GRC
NPL
GBR
AUT
CAN
DEU
BLR
JPN
MDG
NIC
SEN
IDN
GIN
ZWE
ETH
USA
None
1 in 20,000
1 in 10,000
1 in 6,667
1 in 5,000
1 in 4,000
1 6 11 16 21 26 31 36 41 46 51 56 61 66
Rank
Averagecases/day
Average new cases over past 7 days
Excludes countries with population < 5,000,000
2020-08-12 Summary: 9
Worldwide deaths
USA
BRA
MEX
GBR
IND
ITA
FRA
ESP
PER
IRN
RUS
COL
ZAF
CHL
BEL
DEU
CAN
NLD
PAK
ECU
TUR
IDN
SWE
IRQ
EGY
ARG
CHN
BOL
BGD
SAU
ROU
PHL
GTM
CHE
UKR
POL
PRT
HND
KGZ
DOM
AFG
DZA
KAZ
JPN
NGA
SDN
AUT
SRB
ISR
DNK
HUN
BLR
SLV
MAR
YEM
AZE
BGR
ETH
KEN
CMR
CZE
AUS
FIN
KOR
ZMB
USA
0
50,000
100,000
150,000
1 6 11 16 21 26 31 36 41 46 51 56 61 66
Rank
Totaldeathstodate
Worldwide deaths
Excludes countries with population < 5,000,000
2020-08-12 Summary: 10
Worldwide deaths
BEL
GBR
PER
ESP
SWE
CHL
ITA
USA
BRA
FRA
MEX
ECU
BOL
NLD
COL
IRN
KGZ
CAN
CHE
ZAF
HND
IRQ
PRT
GTM
DOM
ROU
ARG
SRB
DNK
SAU
DEU
RUS
AUT
ISR
KAZ
SLV
TUR
BGR
FIN
BLR
HUN
EGY
AZE
AFG
POL
UKR
IND
DZA
CZE
PAK
SDN
IDN
PHL
BGD
YEM
NIC
CMR
LBY
ZMB
HTI
GRC
SEN
AUS
MAR
PRY
USA
None
1 in 5,000
1 in 2,500
1 in 1,667
1 in 1,250
1 in 1,000
1 6 11 16 21 26 31 36 41 46 51 56 61 66
Rank
Totaldeathstodate
Worldwide deaths
Excludes countries with population < 5,000,000
2020-08-12 Summary: 11
Average daily deaths over past 7 days
BOL
COL
MEX
PER
ZAF
BRA
KAZ
ARG
CHL
USA
IRN
IRQ
DOM
HND
GTM
ROU
SLV
ECU
KGZ
ISR
SRB
SAU
BGR
RUS
LBY
IND
ZMB
AUS
GBR
UKR
PRY
MAR
AZE
BEL
SWE
ESP
DZA
POL
PRT
BLR
IDN
VEN
PHL
EGY
NIC
MWI
AFG
SEN
ZWE
HTI
BGD
AGO
UZB
MDG
TUR
KEN
SDN
CAN
ETH
CHE
TGO
YEM
GHA
FRA
NPL
USA
None
1 in 500,000
1 in 250,000
1 in 166,667
1 in 125,000
1 6 11 16 21 26 31 36 41 46 51 56 61 66
Rank
Averagedeaths/day
Average daily deaths over past 7 days
Excludes countries with population < 5,000,000
2020-08-12 Summary: 12
Case Mortality vs. Testing
LUX
AREBHR
MLT
DNK
ISLISR
RUS
LTU
AUS
USA
QAT
PRT
MDV
BEL
GBR
BLR
IRL
KWT
CAN
KAZ
SGP
LVA
SAU
SRB
AUT
ESP
NZL
DEU
CHL
CHE
ESTNOR
FINROU
ITA
CZE
NLD
SVN
GRC
TURPAN
POL
ZAF
SVK
BGR
SLV
MAR
COL
URY
HUN
MYS
IRN
HRV
KOR
UKR
CUB
RWA
PRYCRI
INDARG
NPL
BOL
PHL
GHA
BRA
ECU
PER
JPNPAK
TUN
FJI
MEX
BGD
SEN
KEN
UGA
TGO
THA
ZWE
CIV
ETH
IDN
TWN
VNM
MMR
NGA
USA
0
5
10
15
0 20 40 60
% Tested
%CaseMortality
Case Mortality vs. Testing as of 2020-08-12
ARE: United Arab Emirates, BHR:Bahrain, MLT: Malta, ISR: Israel, LTU: Lithuania, ISL: Iceland
2020-08-12 Summary: 13
Mortality Trends
0
2
4
6
8
10
12
14
USCaseRateMortality
Mortality Type:
13 day rolling median
Cumulative
Daily Raw
Daily vs. Cumulative US Case Rate Mortality
Last week excluded because deaths are often backdated
2020-08-12 Summary: 14
Change in New Cases per Day
New cases are:
Increasing > +3%
Increasing between +1% and +3%
No Change (-1% to +1%)
Decreasing between -1% and -3%
Decreasing > -3%
New cases by state as of 2020-08-12
2020-08-12 Summary: 15
Cases as a Percent of Peak Cases
HI TX FL
OK LA MS AL GA
AZ NM KS AR TN NC SC DC
CA UT CO NE MO KY WV VA MD DE
OR NV WY SD IA IN OH PA NJ CT RI
WA ID MT ND MN IL MI NY MA
WI VT NH
AK ME
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
PercentofPeak
Daily Cases as a Percent of Peak Cases
2020-08-12 Summary: 16
Change in New Deaths per Day
New deaths are:
Increasing > +0.5%
Increasing between +0.1% and +0.5%
No Change (-0.1% to +0.1%)
Decreasing between -0.1% and -0.5%
Decreasing > -0.5%
New deaths by state as of 2020-08-12
2020-08-12 Summary: 17
Deaths as a Percent of Peak Deaths
HI TX FL
OK LA MS AL GA
AZ NM KS AR TN NC SC DC
CA UT CO NE MO KY WV VA MD DE
OR NV WY SD IA IN OH PA NJ CT RI
WA ID MT ND MN IL MI NY MA
WI VT NH
AK ME
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
PercentofPeak
Daily Deaths as a Percent of Peak Deaths
2020-08-12 Summary: 18
Change in cases vs change in deaths
AL
AK
AZ
AR
CA
CO
CT
DE
DC
FL
GA
HI
ID
IL
IN
IA
KS
KY
LA
ME
MD
MA
MI
MN
MS
MO
MT
NE
NV
NH
NJ
NM
NY
NC
ND
OH
OK
OR
PA
RI
SC
SD
TN
TX
UT
VT
VA
WA
WV
WI
WY
-6
-3
0
3
6
-5 0 5
Change in cases (%/day)
Changeindeaths(%/day)
Change in cases vs change in deaths over last 14 days 2020-08-12
2020-08-12 Summary: 19
Total US COVID-19 Cases
CA
FL
TX
NY
GA
IL
AZ
NJ
NC
LA
PA
TN
MA
AL
OH
SC
VA
MI
MD
IN
MS
WA
MN
WI
MO
NV
CO
CT
AR
IA
UT
OK
KY
KS
NE
ID
NM
OR
RI
DE
DC
SD
ND
WV
NH
MT
ME
AK
HI
WY
VT
0
200,000
400,000
600,000
1 6 11 16 21 26 31 36 41 46 51
Rank
Totalcases
Masks
No
Yes
Governor
aa
Democratic
Republican
Total US COVID-19 Cases
p masks: 0.36, p governor: 0.67. NB: association != causation.
2020-08-12 Summary: 20
Total US COVID-19 Cases
LA
AZ
FL
MS
NY
AL
GA
NJ
SC
RI
NV
TN
DC
TX
MA
AR
DE
MD
IA
IL
NE
CA
ID
CT
UT
NC
VA
OK
IN
SD
MN
KS
NM
WI
ND
MO
MI
PA
CO
OH
WA
KY
WY
AK
OR
NH
MT
WV
ME
HI
VT
None
1 in 200
1 in 100
1 in 67
1 in 50
1 in 40
1 in 33
1 6 11 16 21 26 31 36 41 46 51
Rank
TotalCases
Masks
No
Yes
Governor
aa
Democratic
Republican
Total US COVID-19 Cases
p masks: 0.92, p governor: 0.22. NB: association != causation.
2020-08-12 Summary: 21
Average US COVID-19 cases over the past
7 days
LA
GA
MS
FL
AL
ID
TX
TN
NV
AR
SC
CA
OK
ND
MO
AZ
IA
WI
IN
IL
NE
NC
KS
VA
UT
KY
MD
MN
HI
DC
MT
SD
RI
OH
NM
WA
DE
AK
CO
MI
OR
WV
PA
MA
WY
NJ
NY
CT
NH
VT
ME
None
1 in 10,000
1 in 5,000
1 in 3,333
1 6 11 16 21 26 31 36 41 46 51
Rank
NewCases/Day
Masks
No
Yes
Governor
aa
Democratic
Republican
Average US COVID-19 cases over the past 7 days
p masks: 0.043, p governor: 0.016. NB: association != causation.
2020-08-12 Summary: 22
Total US COVID-19 Deaths
NY
NJ
CA
TX
MA
FL
IL
PA
MI
CT
GA
LA
AZ
OH
MD
IN
VA
NC
SC
MS
CO
AL
WA
MN
MO
TN
RI
WI
NV
IA
KY
NM
OK
DC
DE
AR
NH
KS
OR
NE
UT
ID
WV
SD
ME
ND
MT
VT
HI
WY
AK
0
10,000
20,000
30,000
1 6 11 16 21 26 31 36 41 46 51
Rank
TotalDeaths
Masks
No
Yes
Governor
aa
Democratic
Republican
Total US COVID-19 Deaths
p masks: 0.049, p governor: 0.17. NB: association != causation.
2020-08-12 Summary: 23
Total US COVID-19 Deaths
NJ
NY
MA
CT
RI
LA
DC
MI
MS
IL
DE
MD
AZ
PA
IN
GA
SC
FL
AL
NM
CO
NV
TX
OH
NH
MN
IA
VA
CA
WA
MO
NC
AR
TN
NE
KY
WI
SD
OK
ND
ID
KS
UT
ME
VT
OR
WV
MT
WY
AK
HI
None
1 in 2,000
1 in 1,000
1 in 667
1 in 500
1 6 11 16 21 26 31 36 41 46 51
Rank
TotalDeaths
Masks
No
Yes
Governor
aa
Democratic
Republican
Total US COVID-19 Deaths
p masks: 0.028, p governor: 0.18. NB: association != causation.
2020-08-12 Summary: 24
Average US COVID-19 deaths over the past
7 days
MS
FL
LA
SC
AZ
TX
GA
AL
NV
AR
CA
TN
ID
IA
NC
NM
ND
OK
WV
WA
MA
VA
OH
MD
IN
SD
MT
IL
UT
MO
DC
NE
WI
OR
PA
MN
KS
KY
MI
DE
RI
HI
CO
NJ
NY
WY
CT
VT
ME
NH
AK
None
1 in 500,000
1 in 250,000
1 in 166,667
1 in 125,000
1 in 100,000
1 6 11 16 21 26 31 36 41 46 51
Rank
Deaths/Day
Masks
No
Yes
Governor
aa
Democratic
Republican
Average US COVID-19 deaths over the past 7 days
p masks: 0.47, p governor: 0.012. NB: association != causation.
2020-08-12 Summary: 25
Percent Tested
AK
NY
LA
DC
NM
NJ
CT
TN
IL
CA
ND
MI
RI
DE
MA
NC
AR
FL
WI
WV
MT
OK
UT
GA
MD
NV
MS
MN
VT
IA
AL
NE
SC
KY
VA
OH
ME
AZ
TX
SD
WA
NH
MO
IN
ID
KS
OR
PA
CO
HI
WY
0
10
20
30
40
1 6 11 16 21 26 31 36 41 46 51
Rank
PercentTested
Masks
No
Yes
Governor
aa
Democratic
Republican
Percent Tested
p masks: 0.083, p governor: 0.28. NB: association != causation.
2020-08-12 Summary: 26
Percent of Positive COVID Tests
AZ
MS
FL
AL
SC
TX
ID
GA
NV
KS
IA
NE
MD
MA
RI
IN
AR
PA
CO
LA
VA
SD
NJ
DE
MO
UT
TN
NC
MN
NY
IL
WA
OK
CA
WI
OH
DC
CT
KY
WY
OR
ND
MI
NH
NM
MT
HI
WV
ME
AK
VT
0.0
5.0
10.0
15.0
20.0
1 6 11 16 21 26 31 36 41 46 51
Rank
PercentofPositiveTests
Masks
No
Yes
Governor
aa
Democratic
Republican
Percent of Positive COVID Tests
p masks: 0.24, p governor: 0.02. NB: association != causation.
2020-08-12 Summary: 27
Positive fraction trends
HI TX FL
OK LA MS AL GA
AZ NM KS AR TN NC SC DC
CA UT CO NE MO KY WV VA MD DE
OR NV WY SD IA IN OH PA NJ CT RI
WA ID MT ND MN IL MI NY MA
WI VT NH
AK ME
min
max
min
max
min
max
min
max
min
max
min
max
min
max
min
max
Fractionpositivefrommintomax
Positive fraction trends from min to max
2020-08-12 Summary: 28
Change in positive tests over past 14 days
HI
MT
MN
ND
WA
OK
NV
MO
ID
TX
MS
AR
KY
OR
AL
FL
WY
TN
KS
WV
UT
AK
SD
SC
WI
IA
GA
IN
VA
NE
CA
NC
LA
AZ
OH
CO
RI
NM
DE
PA
NH
IL
VT
MD
MI
MA
NJ
NY
ME
DC
CT
0.0
2.0
4.0
1 6 11 16 21 26 31 36 41 46 51
Rank
Changeinpositivetests(%/day)
Masks
No
Yes
Governor
aa
Democratic
Republican
Change in positive tests over past 14 days
p masks: 0.041, p governor: 0.075. NB: association != causation.
2020-08-12 Summary: 29
Current hospitalizations as a percent of peak
since FebruaryAR
HI
KY
MO
MT
ND
WV
AL
AK
MS
NC
TN
WY
ID
OK
GA
OH
KS
NV
UT
SC
VA
NE
CA
OR
FL
WA
IN
LA
TX
NM
SD
WI
IA
MN
AZ
CO
MD
IL
RI
PA
DC
MI
NH
ME
VT
DE
MA
NJ
CT
NY
0
30
60
90
1 6 11 16 21 26 31 36 41 46 51
Rank
Hospitalizations(%ofpeak)
Masks
No
Yes
Governor
aa
Democratic
Republican
Current hospitalizations as a percent of peak since February
p masks: 0.11, p governor: 0.04. NB: association != causation.
2020-08-12 Summary: 30
Hospitalizations trends
HI TX FL
OK LA MS AL GA
AZ NM KS AR TN NC SC DC
CA UT CO NE MO KY WV VA MD DE
OR NV WY SD IA IN OH PA NJ CT RI
WA ID MT ND MN IL MI NY MA
WI VT NH
AK ME
min
max
min
max
min
max
min
max
min
max
min
max
min
max
min
max
Hospitalizationsfrommintomax
Hospitalizations trends from min to max
2020-08-12 Summary: 31
Change in hospitalizations over past 14
days
HI
WI
SD
MT
WV
RI
ND
NE
KY
IN
MN
MO
CT
MA
AR
IL
VA
WA
AL
IA
KS
OR
AK
WY
NM
NH
MI
MD
MS
TN
NC
ID
PA
OK
GA
CO
DC
OH
LA
UT
SC
NV
NY
CA
FL
ME
TX
NJ
AZ
DE
VT
-6.0
-3.0
0.0
3.0
6.0
1 6 11 16 21 26 31 36 41 46 51
Rank
Changeinhospitalizations(%/day)
Masks
No
Yes
Governor
aa
Democratic
Republican
Change in hospitalizations over past 14 days
p masks: 0.9, p governor: 0.96. NB: association != causation.
2020-08-12 Summary: 32
Case Mortality vs. Testing
AL
AK
AZ
AR
CA
CO
CT
DE
DC
FL
GA
HI ID
ILIN
IA
KS
KY
LA
ME
MD
MA
MI
MNMS
MO
MT
NE
NV
NH
NJ
NM
NY
NC
ND
OH
OK
OR
PA
RI
SC
SD
TN
TX
UT
VT
VA
WA
WV
WI
WY
2.5
5.0
7.5
10 20 30 40
% Tested
%Mortality
Mortality vs. Testing as of 2020-08-12
2020-08-12 Summary: 33

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COVID-19 Update (Summary): August 12, 2020

  • 1. Caveats and Comments 1 Overview: This is my analysis, not Stanford’s. My plots and regressions are intended to understand the trajectory of COVID. It is not confidential and can be freely shared. The R program code and PowerPoint files are available at https://github.com/StevenLShafer/COVID19/. Please contact me at steven.shafer@Stanford.edu if you would like to be added or removed from the recipient list. Suggestions are most welcome! You are welcome to use the R code on GitHub for any purpose. I am attempting to keep the analysis and commentary apolitical. I am now including partisan lean as a metric to help understand the epidemic. I occasionally point out misrepresentations by government officials. I occasionally point out where government recommendations have placed Americans at increasing risk. I try to provide a daily update in the morning, except Sundays. My analysis my be delayed by my clinical responsibilities as a Stanford anesthesiologist. There is a lot of information on the figures. If something isn’t clear, please see the explanation on slide 2. Data sources: • USA Case Data: https://github.com/CSSEGISandData/COVID-19/raw/master/csse_covid_19_data/csse_covid_19_time_series/time_series_covid19_confirmed_US.csv • USA Death Data: https://github.com/CSSEGISandData/COVID-19/raw/master/csse_covid_19_data/csse_covid_19_time_series/time_series_covid19_deaths_US.csv • USA Testing and Hospitalization Data: https://raw.githubusercontent.com/COVID19Tracking/covid-tracking-data/master/data/states_daily_4pm_et.csv • Global Case Data: https://github.com/CSSEGISandData/COVID-19/raw/master/csse_covid_19_data/csse_covid_19_time_series/time_series_covid19_confirmed_global.csv • Global Death Data: https://github.com/CSSEGISandData/COVID-19/raw/master/csse_covid_19_data/csse_covid_19_time_series/time_series_covid19_deaths_global.csv • Global Testing Data: https://raw.githubusercontent.com/owid/covid-19-data/master/public/data/owid-covid-data.csv • Mobility Data: https://www.gstatic.com/covid19/mobility/Global_Mobility_Report.csv • Partisan Lean: MIT Election Data and Science Lab: https://doi.org/10.7910/DVN/VOQCHQ/HEIJCQ • Ensemble Model: https://github.com/reichlab/covid19-forecast-hub/raw/master/data-processed/COVIDhub-ensemble/2020-xx-xx-COVIDhub-ensemble.csv Models: 1. Future projections of case numbers are based on the Gompertz function (https://en.wikipedia.org/wiki/Gompertz_function): log 𝑐𝑢𝑚𝑢𝑙𝑎𝑡𝑖𝑣𝑒 𝑐𝑎𝑠𝑒𝑠 = 𝑐𝑢𝑟𝑟𝑒𝑛𝑡 𝑐𝑎𝑠𝑒𝑠 + 𝑚𝑎𝑥𝑖𝑚𝑢𝑚 𝑐𝑎𝑠𝑒𝑠 − 𝑐𝑢𝑟𝑟𝑒𝑛𝑡 𝑐𝑎𝑠𝑒𝑠 1 − 𝑒−𝑘 𝑡 . This is a naïve asymptotic model. k is the rate constant, such that log(2) / k = time to 50% rise. t is the number of days. Wikipedia The Gompertz function is estimated from the last 3 weeks of data for cumulative cases (red dots in the figures). Deaths are predicted from a log linear regression of deaths over the past 21 days. For the US, and individual states, I am also including the 98% prediction interval from the COVID-19 Forecast Hub (https://covid19forecasthub.org/). 2. The rate of change in daily cases and deaths is the slope of delta cases / day over the last 14 days, divided by the average number of cases. Locations The locations for the modeling are where Pamela and I have family and friends, locations of interest to friends and colleagues, or countries in the news (e.g., China, South Korea, Sweden, Brazil) or with significant economic impact on the United States (e.g., Japan, Canada, Mexico). Locations are easy to add. Stay safe, well, resilient, and kind. Steve Shafer steven.shafer@Stanford.edu
  • 2. 2,586,092 152,804 1 10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 Actual(points)/Predicted(line) Phase Pre-Model Modeled Deaths Tests USA projection as of 2020-05-27 0 10,000 20,000 30,000 0 2,000 4,000 6,000 Cases/Day Deaths/Day Cases: 1,662,302 (32,123) -- Deaths: 98,220 (829) -- Case Mortality: 5.9% -- Daily Change in Cases: -0.5% Explanation of the Figures 2 Brown dots: cumulative tests Red dots: cumulative cases used to estimate Gompertz function, presently set to last 3 weeks Red line: predicted cumulative cases based on the Gompertz function estimated from the red dots Red number: total cases on June 30th, based on the Gompertz function estimated from the red dots Black number: total Deaths on July 31th, based on log-linear regression of the past 21 days Black line: predicted cumulative deaths, based on a log linear regression of deaths over past 21 days. Axis for deaths / day, usually 1/10th of the axis for cases / day on the left side of the figure. Green line: linear regression over 8 days, used to calculate percent increase / decrease (see below) Daily change in cases, calculated as the slope of the green line (above left) / number of new cases yesterday. Case mortality: cumulative deaths / cumulative cases. Cases / day calculated from cumulative cases used to estimate the Gompertz function Cases / day calculated from cumulative cases not used to estimate the Gompertz function Deaths / day, axis is on the left Blue line: today Blue dots: cumulative cases not used to estimate Gompertz function Cumulative cases (yesterday’s cases) and cumulative deaths (yesterday’s deaths) Axis for cases / day. Axis for deaths / day appears to the right. Geographic location Date of analysis, also shown as blue vertical line below Purple wedge: 98% ensemble prediction interval from COVID-19 Forecast Hub (USA and US States only)
  • 3. Worldwide 25,812,939 881,354 1 10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 Actual(points)/Predicted(line) Phase Pre-Model Modeled Deaths Worldwide projection as of 2020-08-12 0 100,000 200,000 300,000 0 5,000 10,000 15,000 Cases/Day Deaths/Day Cases: 20,274,539 (194,665) -- Deaths: 740,998 (4,916) -- Case Mortality: 3.7% -- Daily Change: -1.2% Cases, -0.3% Deaths 2020-08-12 Summary: 3
  • 4. USA 6,397,450 189,425 1 10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 Actual(points)/Predicted(line) Phase Pre-Model Modeled Deaths Tests USA projection as of 2020-08-12 Mother'sDay MemorialDay July4th July15,2020 0 20,000 40,000 60,000 80,000 0 1,000 2,000 3,000 4,000 Cases/Day Deaths/Day Cases: 5,141,208 (46,808) -- Deaths: 164,537 (1,074) -- Case Mortality: 3.2% -- Daily Change: -2.1% Cases, -1.3% Deaths 2020-08-12 Summary: 4
  • 5. Japan, South Korea, Thailand, Vietnam 99,102 1,527 1 10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 Actual(points)/Predicted(line) Phase Pre-Model Modeled Deaths Tests Japan, South Korea, Thailand, Vietnam projection as of 2020-08-12 0 500 1,000 1,500 2,000 0 25 50 75 100 Cases/Day Deaths/Day Cases: 69,233 (758) -- Deaths: 1,437 (7) -- Case Mortality: 2.1% -- Daily Change: -1.0% Cases, +5.1% Deaths 2020-08-12 Summary: 5
  • 6. Western Europe 1,673,433 170,071 1 10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 Actual(points)/Predicted(line) Phase Pre-Model Modeled Deaths Tests Western Europe projection as of 2020-08-12 0 20,000 40,000 60,000 80,000 0 1,000 2,000 3,000 4,000 Cases/Day Deaths/Day Cases: 1,551,666 (6,144) -- Deaths: 168,087 (11) -- Case Mortality: 10.8% -- Daily Change: +2.8% Cases, -3.3% Deaths 2020-08-12 Summary: 6
  • 9. Average new cases over past 7 days COL PER ISR BRA USA ARG BOL ZAF CHL DOM IRQ ESP KGZ HND ECU GTM SLV KAZ ROU MEX BEL IND SAU SRB LBY PHL RUS IRN NLD VEN MAR PRY SWE FRA UKR BGR UZB DNK CZE CHE AUS GHA ZMB POL BGD PRT AZE DZA KEN TUR GRC NPL GBR AUT CAN DEU BLR JPN MDG NIC SEN IDN GIN ZWE ETH USA None 1 in 20,000 1 in 10,000 1 in 6,667 1 in 5,000 1 in 4,000 1 6 11 16 21 26 31 36 41 46 51 56 61 66 Rank Averagecases/day Average new cases over past 7 days Excludes countries with population < 5,000,000 2020-08-12 Summary: 9
  • 11. Worldwide deaths BEL GBR PER ESP SWE CHL ITA USA BRA FRA MEX ECU BOL NLD COL IRN KGZ CAN CHE ZAF HND IRQ PRT GTM DOM ROU ARG SRB DNK SAU DEU RUS AUT ISR KAZ SLV TUR BGR FIN BLR HUN EGY AZE AFG POL UKR IND DZA CZE PAK SDN IDN PHL BGD YEM NIC CMR LBY ZMB HTI GRC SEN AUS MAR PRY USA None 1 in 5,000 1 in 2,500 1 in 1,667 1 in 1,250 1 in 1,000 1 6 11 16 21 26 31 36 41 46 51 56 61 66 Rank Totaldeathstodate Worldwide deaths Excludes countries with population < 5,000,000 2020-08-12 Summary: 11
  • 12. Average daily deaths over past 7 days BOL COL MEX PER ZAF BRA KAZ ARG CHL USA IRN IRQ DOM HND GTM ROU SLV ECU KGZ ISR SRB SAU BGR RUS LBY IND ZMB AUS GBR UKR PRY MAR AZE BEL SWE ESP DZA POL PRT BLR IDN VEN PHL EGY NIC MWI AFG SEN ZWE HTI BGD AGO UZB MDG TUR KEN SDN CAN ETH CHE TGO YEM GHA FRA NPL USA None 1 in 500,000 1 in 250,000 1 in 166,667 1 in 125,000 1 6 11 16 21 26 31 36 41 46 51 56 61 66 Rank Averagedeaths/day Average daily deaths over past 7 days Excludes countries with population < 5,000,000 2020-08-12 Summary: 12
  • 13. Case Mortality vs. Testing LUX AREBHR MLT DNK ISLISR RUS LTU AUS USA QAT PRT MDV BEL GBR BLR IRL KWT CAN KAZ SGP LVA SAU SRB AUT ESP NZL DEU CHL CHE ESTNOR FINROU ITA CZE NLD SVN GRC TURPAN POL ZAF SVK BGR SLV MAR COL URY HUN MYS IRN HRV KOR UKR CUB RWA PRYCRI INDARG NPL BOL PHL GHA BRA ECU PER JPNPAK TUN FJI MEX BGD SEN KEN UGA TGO THA ZWE CIV ETH IDN TWN VNM MMR NGA USA 0 5 10 15 0 20 40 60 % Tested %CaseMortality Case Mortality vs. Testing as of 2020-08-12 ARE: United Arab Emirates, BHR:Bahrain, MLT: Malta, ISR: Israel, LTU: Lithuania, ISL: Iceland 2020-08-12 Summary: 13
  • 14. Mortality Trends 0 2 4 6 8 10 12 14 USCaseRateMortality Mortality Type: 13 day rolling median Cumulative Daily Raw Daily vs. Cumulative US Case Rate Mortality Last week excluded because deaths are often backdated 2020-08-12 Summary: 14
  • 15. Change in New Cases per Day New cases are: Increasing > +3% Increasing between +1% and +3% No Change (-1% to +1%) Decreasing between -1% and -3% Decreasing > -3% New cases by state as of 2020-08-12 2020-08-12 Summary: 15
  • 16. Cases as a Percent of Peak Cases HI TX FL OK LA MS AL GA AZ NM KS AR TN NC SC DC CA UT CO NE MO KY WV VA MD DE OR NV WY SD IA IN OH PA NJ CT RI WA ID MT ND MN IL MI NY MA WI VT NH AK ME 0 25 50 75 100 0 25 50 75 100 0 25 50 75 100 0 25 50 75 100 0 25 50 75 100 0 25 50 75 100 0 25 50 75 100 0 25 50 75 100 PercentofPeak Daily Cases as a Percent of Peak Cases 2020-08-12 Summary: 16
  • 17. Change in New Deaths per Day New deaths are: Increasing > +0.5% Increasing between +0.1% and +0.5% No Change (-0.1% to +0.1%) Decreasing between -0.1% and -0.5% Decreasing > -0.5% New deaths by state as of 2020-08-12 2020-08-12 Summary: 17
  • 18. Deaths as a Percent of Peak Deaths HI TX FL OK LA MS AL GA AZ NM KS AR TN NC SC DC CA UT CO NE MO KY WV VA MD DE OR NV WY SD IA IN OH PA NJ CT RI WA ID MT ND MN IL MI NY MA WI VT NH AK ME 0 25 50 75 100 0 25 50 75 100 0 25 50 75 100 0 25 50 75 100 0 25 50 75 100 0 25 50 75 100 0 25 50 75 100 0 25 50 75 100 PercentofPeak Daily Deaths as a Percent of Peak Deaths 2020-08-12 Summary: 18
  • 19. Change in cases vs change in deaths AL AK AZ AR CA CO CT DE DC FL GA HI ID IL IN IA KS KY LA ME MD MA MI MN MS MO MT NE NV NH NJ NM NY NC ND OH OK OR PA RI SC SD TN TX UT VT VA WA WV WI WY -6 -3 0 3 6 -5 0 5 Change in cases (%/day) Changeindeaths(%/day) Change in cases vs change in deaths over last 14 days 2020-08-12 2020-08-12 Summary: 19
  • 20. Total US COVID-19 Cases CA FL TX NY GA IL AZ NJ NC LA PA TN MA AL OH SC VA MI MD IN MS WA MN WI MO NV CO CT AR IA UT OK KY KS NE ID NM OR RI DE DC SD ND WV NH MT ME AK HI WY VT 0 200,000 400,000 600,000 1 6 11 16 21 26 31 36 41 46 51 Rank Totalcases Masks No Yes Governor aa Democratic Republican Total US COVID-19 Cases p masks: 0.36, p governor: 0.67. NB: association != causation. 2020-08-12 Summary: 20
  • 21. Total US COVID-19 Cases LA AZ FL MS NY AL GA NJ SC RI NV TN DC TX MA AR DE MD IA IL NE CA ID CT UT NC VA OK IN SD MN KS NM WI ND MO MI PA CO OH WA KY WY AK OR NH MT WV ME HI VT None 1 in 200 1 in 100 1 in 67 1 in 50 1 in 40 1 in 33 1 6 11 16 21 26 31 36 41 46 51 Rank TotalCases Masks No Yes Governor aa Democratic Republican Total US COVID-19 Cases p masks: 0.92, p governor: 0.22. NB: association != causation. 2020-08-12 Summary: 21
  • 22. Average US COVID-19 cases over the past 7 days LA GA MS FL AL ID TX TN NV AR SC CA OK ND MO AZ IA WI IN IL NE NC KS VA UT KY MD MN HI DC MT SD RI OH NM WA DE AK CO MI OR WV PA MA WY NJ NY CT NH VT ME None 1 in 10,000 1 in 5,000 1 in 3,333 1 6 11 16 21 26 31 36 41 46 51 Rank NewCases/Day Masks No Yes Governor aa Democratic Republican Average US COVID-19 cases over the past 7 days p masks: 0.043, p governor: 0.016. NB: association != causation. 2020-08-12 Summary: 22
  • 23. Total US COVID-19 Deaths NY NJ CA TX MA FL IL PA MI CT GA LA AZ OH MD IN VA NC SC MS CO AL WA MN MO TN RI WI NV IA KY NM OK DC DE AR NH KS OR NE UT ID WV SD ME ND MT VT HI WY AK 0 10,000 20,000 30,000 1 6 11 16 21 26 31 36 41 46 51 Rank TotalDeaths Masks No Yes Governor aa Democratic Republican Total US COVID-19 Deaths p masks: 0.049, p governor: 0.17. NB: association != causation. 2020-08-12 Summary: 23
  • 24. Total US COVID-19 Deaths NJ NY MA CT RI LA DC MI MS IL DE MD AZ PA IN GA SC FL AL NM CO NV TX OH NH MN IA VA CA WA MO NC AR TN NE KY WI SD OK ND ID KS UT ME VT OR WV MT WY AK HI None 1 in 2,000 1 in 1,000 1 in 667 1 in 500 1 6 11 16 21 26 31 36 41 46 51 Rank TotalDeaths Masks No Yes Governor aa Democratic Republican Total US COVID-19 Deaths p masks: 0.028, p governor: 0.18. NB: association != causation. 2020-08-12 Summary: 24
  • 25. Average US COVID-19 deaths over the past 7 days MS FL LA SC AZ TX GA AL NV AR CA TN ID IA NC NM ND OK WV WA MA VA OH MD IN SD MT IL UT MO DC NE WI OR PA MN KS KY MI DE RI HI CO NJ NY WY CT VT ME NH AK None 1 in 500,000 1 in 250,000 1 in 166,667 1 in 125,000 1 in 100,000 1 6 11 16 21 26 31 36 41 46 51 Rank Deaths/Day Masks No Yes Governor aa Democratic Republican Average US COVID-19 deaths over the past 7 days p masks: 0.47, p governor: 0.012. NB: association != causation. 2020-08-12 Summary: 25
  • 26. Percent Tested AK NY LA DC NM NJ CT TN IL CA ND MI RI DE MA NC AR FL WI WV MT OK UT GA MD NV MS MN VT IA AL NE SC KY VA OH ME AZ TX SD WA NH MO IN ID KS OR PA CO HI WY 0 10 20 30 40 1 6 11 16 21 26 31 36 41 46 51 Rank PercentTested Masks No Yes Governor aa Democratic Republican Percent Tested p masks: 0.083, p governor: 0.28. NB: association != causation. 2020-08-12 Summary: 26
  • 27. Percent of Positive COVID Tests AZ MS FL AL SC TX ID GA NV KS IA NE MD MA RI IN AR PA CO LA VA SD NJ DE MO UT TN NC MN NY IL WA OK CA WI OH DC CT KY WY OR ND MI NH NM MT HI WV ME AK VT 0.0 5.0 10.0 15.0 20.0 1 6 11 16 21 26 31 36 41 46 51 Rank PercentofPositiveTests Masks No Yes Governor aa Democratic Republican Percent of Positive COVID Tests p masks: 0.24, p governor: 0.02. NB: association != causation. 2020-08-12 Summary: 27
  • 28. Positive fraction trends HI TX FL OK LA MS AL GA AZ NM KS AR TN NC SC DC CA UT CO NE MO KY WV VA MD DE OR NV WY SD IA IN OH PA NJ CT RI WA ID MT ND MN IL MI NY MA WI VT NH AK ME min max min max min max min max min max min max min max min max Fractionpositivefrommintomax Positive fraction trends from min to max 2020-08-12 Summary: 28
  • 29. Change in positive tests over past 14 days HI MT MN ND WA OK NV MO ID TX MS AR KY OR AL FL WY TN KS WV UT AK SD SC WI IA GA IN VA NE CA NC LA AZ OH CO RI NM DE PA NH IL VT MD MI MA NJ NY ME DC CT 0.0 2.0 4.0 1 6 11 16 21 26 31 36 41 46 51 Rank Changeinpositivetests(%/day) Masks No Yes Governor aa Democratic Republican Change in positive tests over past 14 days p masks: 0.041, p governor: 0.075. NB: association != causation. 2020-08-12 Summary: 29
  • 30. Current hospitalizations as a percent of peak since FebruaryAR HI KY MO MT ND WV AL AK MS NC TN WY ID OK GA OH KS NV UT SC VA NE CA OR FL WA IN LA TX NM SD WI IA MN AZ CO MD IL RI PA DC MI NH ME VT DE MA NJ CT NY 0 30 60 90 1 6 11 16 21 26 31 36 41 46 51 Rank Hospitalizations(%ofpeak) Masks No Yes Governor aa Democratic Republican Current hospitalizations as a percent of peak since February p masks: 0.11, p governor: 0.04. NB: association != causation. 2020-08-12 Summary: 30
  • 31. Hospitalizations trends HI TX FL OK LA MS AL GA AZ NM KS AR TN NC SC DC CA UT CO NE MO KY WV VA MD DE OR NV WY SD IA IN OH PA NJ CT RI WA ID MT ND MN IL MI NY MA WI VT NH AK ME min max min max min max min max min max min max min max min max Hospitalizationsfrommintomax Hospitalizations trends from min to max 2020-08-12 Summary: 31
  • 32. Change in hospitalizations over past 14 days HI WI SD MT WV RI ND NE KY IN MN MO CT MA AR IL VA WA AL IA KS OR AK WY NM NH MI MD MS TN NC ID PA OK GA CO DC OH LA UT SC NV NY CA FL ME TX NJ AZ DE VT -6.0 -3.0 0.0 3.0 6.0 1 6 11 16 21 26 31 36 41 46 51 Rank Changeinhospitalizations(%/day) Masks No Yes Governor aa Democratic Republican Change in hospitalizations over past 14 days p masks: 0.9, p governor: 0.96. NB: association != causation. 2020-08-12 Summary: 32
  • 33. Case Mortality vs. Testing AL AK AZ AR CA CO CT DE DC FL GA HI ID ILIN IA KS KY LA ME MD MA MI MNMS MO MT NE NV NH NJ NM NY NC ND OH OK OR PA RI SC SD TN TX UT VT VA WA WV WI WY 2.5 5.0 7.5 10 20 30 40 % Tested %Mortality Mortality vs. Testing as of 2020-08-12 2020-08-12 Summary: 33