Denture base resins materials and its mechanism of action
ย
COVID-19 Update (Summary): September 1, 2020
1. Caveats and Comments
1
Overview:
This is my analysis, not Stanfordโs. My goal is to understand the trajectory of COVID. It is not confidential and can be freely shared. The R program code is
available at https://github.com/StevenLShafer/COVID19/. The daily analysis are available at https://1drv.ms/u/s!AuOyHP_aTIy7rowrt2AjGpWm_frnEQ?e=KBcNbh.
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 isnโt clear, please see the explanation on slide 2.
Data sources:
โข 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
โข 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
โข USA Testing and Hospitalization Data: https://raw.githubusercontent.com/COVID19Tracking/covid-tracking-data/master/data/states_daily_4pm_et.csv
โข 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
โข 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
โข Global Testing Data: https://raw.githubusercontent.com/owid/covid-19-data/master/public/data/owid-covid-data.csv
โข Mobility Data: https://www.gstatic.com/covid19/mobility/Global_Mobility_Report.csv
โข Partisan Lean: MIT Election Data and Science Lab: https://doi.org/10.7910/DVN/VOQCHQ/HEIJCQ
โข 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 ๐๐ข๐๐ข๐๐๐ก๐๐ฃ๐ ๐๐๐ ๐๐ =
๐๐ข๐๐๐๐๐ก ๐๐๐ ๐๐ + ๐๐๐ฅ๐๐๐ข๐ ๐๐๐ ๐๐ โ ๐๐ข๐๐๐๐๐ก ๐๐๐ ๐๐ 1 โ ๐โ๐ ๐ก . This is a naรฏve 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
(yesterdayโs cases)
and cumulative deaths
(yesterdayโs 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)
9. Average new cases over past 7 days
PER
ISR
ESP
ARG
COL
BRA
USA
IRQ
CHL
HND
BOL
PRY
FRA
LBY
IND
GTM
ECU
ROU
DOM
UKR
MEX
ZAF
PHL
BEL
CHE
MAR
SAU
NLD
RUS
VEN
AUT
CZE
NPL
IRN
PRT
GBR
ITA
KGZ
TUR
SLV
GRC
POL
BLR
AZE
BGR
ETH
SWE
DEU
DNK
CAN
BGD
UZB
SVK
SRB
HUN
TUN
RWA
DZA
IDN
ZMB
KAZ
JOR
KOR
SEN
KEN
USA
None
1 in 20,000
1 in 10,000
1 in 6,667
1 in 5,000
1 in 4,000
1 in 3,333
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
2020-09-01 Summary: 9
12. Average daily deaths over past 7 days
BOL
COL
PER
ARG
MEX
BRA
HND
CHL
ZAF
USA
IRQ
PRY
ECU
ROU
DOM
ISR
IRN
GTM
BGR
SAU
SLV
LBY
MAR
KAZ
IND
AUS
UKR
ESP
PHL
RUS
BLR
ZWE
TUR
IDN
NPL
PRT
GRC
DZA
POL
BGD
VEN
SRB
AZE
EGY
FRA
UZB
CAN
NLD
ETH
GBR
CZE
SYR
SEN
AGO
JPN
ITA
KEN
NIC
MDG
ZMB
CHE
GHA
GIN
TUN
HTI
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
2020-09-01 Summary: 12
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 2020-09-01
2020-09-01 Summary: 14
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
2020-09-01 Summary: 15
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 2020-09-01
2020-09-01 Summary: 16
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
2020-09-01 Summary: 17
18. Change in cases vs change in deaths
AL
AK
AZ
AR
CA
CO
CTDEDC
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
-4 0 4
Change in cases (%/day)
Changeindeaths(%/day)
Change in cases vs change in deaths over last 14 days as of 2020-09-01
2020-09-01 Summary: 18
19. Total US COVID-19 Cases
CA
TX
FL
NY
GA
IL
AZ
NJ
NC
TN
LA
PA
MA
AL
OH
VA
SC
MI
MD
IN
MO
MS
MN
WI
WA
NV
IA
AR
OK
CO
CT
UT
KY
KS
NE
ID
OR
NM
RI
DE
DC
SD
ND
WV
HI
MT
NH
AK
ME
WY
VT
0
200,000
400,000
600,000
800,000
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 as of July 20, 2020: 0.42, p governor: 0.79. NB: association != causation.
2020-09-01 Summary: 19
20. Total US COVID-19 Cases
LA
FL
MS
AZ
AL
GA
SC
TN
NV
NY
TX
NJ
RI
IA
AR
DC
IL
MA
CA
ID
MD
DE
NE
UT
NC
ND
SD
OK
CT
KS
VA
IN
MO
MN
WI
NM
MI
PA
KY
OH
CO
WA
AK
MT
WY
OR
HI
WV
NH
ME
VT
None
1 in 100
1 in 50
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 as of July 20, 2020: 0.8, p governor: 0.1. NB: association != causation.
2020-09-01 Summary: 20
21. Average US COVID-19 cases over the past
7 days
IA
ND
SD
AL
MS
KS
TN
MO
GA
AR
OK
SC
TX
HI
ID
NE
IN
IL
KY
NV
NC
LA
MN
CA
FL
UT
MT
VA
WI
RI
OH
AK
MD
MI
DC
DE
WV
AZ
WA
WY
MA
NM
OR
PA
CO
CT
NJ
NY
ME
NH
VT
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 as of July 20, 2020: 0.007, p governor: 0.0061. NB: association != causation.
2020-09-01 Summary: 21
22. Total US COVID-19 Deaths
NY
NJ
CA
TX
FL
MA
IL
PA
MI
GA
AZ
LA
CT
OH
MD
IN
SC
NC
VA
MS
AL
CO
WA
MN
TN
MO
NV
WI
IA
RI
KY
OK
AR
NM
DC
DE
OR
KS
NH
UT
NE
ID
WV
SD
ND
ME
MT
HI
VT
AK
WY
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 as of July 20, 2020: 0.065, p governor: 0.23. NB: association != causation.
2020-09-01 Summary: 22
23. Total US COVID-19 Deaths
NJ
NY
MA
CT
LA
RI
DC
MS
AZ
MI
IL
DE
MD
PA
GA
SC
FL
IN
AL
TX
NV
NM
OH
IA
CO
MN
CA
NH
VA
AR
NC
TN
MO
WA
KY
NE
OK
ID
WI
SD
ND
KS
UT
WV
OR
ME
MT
VT
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 as of July 20, 2020: 0.031, p governor: 0.26. NB: association != causation.
2020-09-01 Summary: 23
24. Average US COVID-19 deaths over the past
7 days
MS
GA
LA
SC
FL
TX
AR
AZ
NV
AL
ID
TN
IA
OH
CA
MA
WV
OK
RI
NC
HI
NM
MO
KY
VA
MT
IL
IN
MD
OR
NE
MI
MN
ND
KS
PA
WI
UT
AK
WA
SD
NY
DE
CO
DC
NH
CT
NJ
ME
VT
WY
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 as of July 20, 2020: 0.66, p governor: 0.038. NB: association != causation.
2020-09-01 Summary: 24
25. Daily testing 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
Dailytestingfrommintomax
Daily testing trends from min to max
Line = Friedman's supersmoother
2020-09-01 Summary: 25
26. Change in daily tests over past 14 days
VT
ME
DE
HI
MA
NH
UT
TN
WV
OH
WA
MI
CT
NC
AL
IL
AR
KS
IN
MT
WY
NY
ND
KY
NE
RI
MS
IA
SD
NJ
DC
MN
MD
MO
VA
PA
CA
OR
ID
CO
NM
LA
AZ
GA
SC
WI
AK
OK
TX
NV
FL
-2.0
0.0
2.0
4.0
6.0
1 6 11 16 21 26 31 36 41 46 51
Rank
Changeindailytests(%/day)
Masks
No
Yes
Governor
aa
Democratic
Republican
Change in daily tests over past 14 days
p masks as of July 20, 2020: 0.32, p governor: 0.67. NB: association != causation.
2020-09-01 Summary: 26
28. Percent of Positive COVID Tests
AZ
MS
FL
AL
SC
ID
TX
NV
GA
KS
IA
NE
SD
IN
MO
AR
MD
PA
CO
RI
LA
UT
VA
NC
MA
DE
TN
OK
MN
NJ
WI
CA
KY
ND
IL
OH
NY
WA
WY
DC
OR
CT
HI
MI
NH
NM
MT
WV
AK
ME
VT
0.0
5.0
10.0
15.0
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 as of July 20, 2020: 0.045, p governor: 0.0051. NB: association != causation.
2020-09-01 Summary: 28
29. 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
2020-09-01 Summary: 29
30. Change in positive tests over past 14 days
HI
ND
SD
IA
MO
KY
OK
AK
WI
KS
SC
MN
NV
MS
UT
AL
MT
ID
TX
AR
OR
NE
FL
IN
NC
CA
WV
GA
VA
TN
WA
CO
LA
NM
PA
IL
AZ
DE
MD
MI
OH
RI
NH
NJ
WY
DC
VT
NY
MA
CT
ME
-1.0
0.0
1.0
2.0
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 as of July 20, 2020: 0.0075, p governor: 0.078. NB: association != causation.
2020-09-01 Summary: 30
31. Change in tests vs change in positive tests
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
-1
0
1
2
-2 0 2 4
Change in tests (%/day)
Changeinpositivetests(%/day)
Change in tests vs change in positive tests last 14 days as of 2020-09-01
Size of the state font reflects the number of deaths over the past 7 days.
2020-09-01 Summary: 31
32. Current hospitalizations as a percent of peak
since FebruaryHI
KS
MO
MT
ND
WV
WY
AK
OK
NE
KY
ID
SD
NC
AR
IA
GA
OH
VA
TN
MS
AL
IN
WA
NV
CA
SC
MN
OR
UT
WI
LA
FL
TX
IL
NM
VT
RI
MD
CO
AZ
DE
MI
PA
DC
ME
MA
NJ
NH
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 as of July 20, 2020: 0.0084, p governor: 0.046. NB: association != causation.
2020-09-01 Summary: 32
33. 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
2020-09-01 Summary: 33
34. Change in hospitalizations over past 14
days
HI
DE
MT
SD
ND
KS
NE
IA
CT
WV
WY
MO
MN
OK
IN
MI
VT
NJ
RI
IL
DC
ID
NC
GA
AK
KY
VA
PA
WA
OH
MA
NY
AR
WI
ME
CO
MD
SC
CA
TN
AL
OR
NV
MS
LA
UT
FL
TX
AZ
NM
NH
-5.0
-2.5
0.0
2.5
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 as of July 20, 2020: 0.5, p governor: 0.59. NB: association != causation.
2020-09-01 Summary: 34
35. Change in New Cases per Day
Direction
Increasing > +2%
Increasing between +0.5% and +2%
No Change (-0.5% to +0.5%)
Decreasing between -0.5% and -2%
Decreasing > -2%
NA
Trends by county as of 2020-09-01
NA = Inadequate data
2020-09-01 Summary: 35