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Elm Laboratory

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COVID-19 Regional Numbers of Dead People in the US

fit with advanced Gompertz function

Jens Röder

6 minutes read

with Advanced Gompertz Function

All the fits of the data of individual areas are created fully automatically. You may check on the graph (click on the image) if the fit has a sufficient quality, matching the data points as best as possible. There may be some cases, where by too unexpected real data, the fit is not giving a good forecast. So please use common sense to evaluate the data.

Locations or countries with not enough data points or other reasons are skipped and can be found in this list.

The table shows from the left: The maximum last cumulative number, the expected maximum number by fit, graph and location, the T2 also known as doubling time of the exponential growth, the day of turning point of the function.

The turning point is important, showing the turn from purely exponential growth to the process of fading out by limited number of victims.

In the middle of the graph is written the doubling time, that describes the time it needs to double the number of cases. This number is calculated using the logistic function and describes the growth before the turning point, where numbers rise quickly. In a simple picture, the T2 of the Gompertz function describes the later part and the doubling time of the logisitic the first part.

Color code on numbers of dead people: Below 30 , between 30 and 99, between 100 and 499, between 500 and 999, between 1000 and 4999, above 5000.

Color code on locations describe percentages of last number and expected Nmax: Above 95%, between 90% and 95%, between 80% and 89%, between 70% and 79%, between 60% and 69%, when number of cases is above 50 and Nmax is below 50% or the doubling time is below 3.5 days! Above 130%, a reoccurrence of an outbreak is indicated.

The location color code tells you, how well the Covid-19 outbreak has faded out and is under control (greenish). In red and magenta the areas are on fast rise in numbers. The color code in numbers tells you how severe the outbreak was in that region.

Applied maths is explained here.


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Actualisation date: Sun Aug 15 06:03:34 UTC 2021

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Ncurrent
location
Nmax (err) cumulative_dead death rate (err) death_rate deaths_daily T2 (err) dturning_point (err)
10039
Queens, New York
7971 (±1.7%) 10.77 (±4.9%) 17.758 (±13.3%) 62.88 (±10.3%)
155
Phelps, Missouri
479 (±29.2%) fiterr (±err) 70.377 (±7.3%) 416.79 (±5.1%)
143
Natrona, Wyoming
150 (±8.6%) fiterr (±err) 37.732 (±4.8%) 341.68 (±1.0%)
137
Muskingum, Ohio
765732 (±329.5%) fiterr (±err) 118.475 (±17.5%) 760.43 (±19.8%)
112
Jim Wells, Texas
424 (±3152.9%) 7.82 (±16.0%) 243.938 (±891.2%) 760.49 (±1611.2%)
98
Benton, Minnesota
97 (±65.8%) fiterr (±err) 30.338 (±59.5%) 324.33 (±7.1%)
92
Petersburg, Virginia
39 (±4.6%) 10.90 (±22.6%) 4.976 (±43145306630.1%) 34.97 (±247480859165.4%)
91
Knox, Indiana
8619289 (±1450.7%) fiterr (±err) 201.002 (±58.7%) 1211.15 (±80.0%)
86
Barron, Wisconsin
64 (±42.9%) 9.99 (±19.7%) 28.106 (±50.2%) 315.01 (±4.7%)
85
Shawano, Wisconsin
65 (±1.3%) fiterr (±err) 25.774 (±2.2%) 299.68 (±0.2%)
83
Franklin, Illinois
2849 (±607.7%) 5.63 (±70.3%) 105.404 (±72.9%) 594.84 (±75.7%)
79
Henderson, Tennessee
356 (±1024.2%) fiterr (±err) 160.177 (±244.2%) 614.09 (±347.0%)
75
Jessamine, Kentucky
48 (±1.9%) fiterr (±err) 26.983 (±2.5%) 312.31 (±0.2%)
74
Harrison, Iowa
5050 (±656.4%) fiterr (±err) 117.038 (±72.8%) 645.56 (±80.8%)
71
Fauquier, Virginia
32 (±4.4%) 7.90 (±15.6%) 4.994 (±126934316219.2%) 27.00 (±1176018625909.6%)
69
Newaygo, Michigan
15004277 (±972.5%) fiterr (±err) 174.810 (±34.3%) 1099.72 (±45.7%)
67
Kossuth, Iowa
233054 (±1216.7%) fiterr (±err) 106.300 (±67.6%) 702.77 (±71.7%)
66
Fremont, Colorado
1136 (±117.1%) fiterr (±err) 76.637 (±14.0%) 510.08 (±11.1%)
65
Beltrami, Minnesota
41233 (±207.2%) 9.68 (±19.1%) 137.990 (±14.9%) 800.64 (±17.8%)
61
McLeod, Minnesota
92 (±16.6%) fiterr (±err) 38.470 (±7.2%) 356.11 (±1.8%)
58
Carlton, Minnesota
2850482 (±604.3%) fiterr (±err) 143.299 (±25.5%) 909.79 (±31.6%)
57
Jones, Texas
240 (±32.1%) 6.31 (±15.6%) 57.291 (±6.9%) 416.00 (±3.7%)
55
Roosevelt, Montana
45 (±1.0%) 3.40 (±15.3%) 23.727 (±2.1%) 292.96 (±0.1%)
54
Freestone, Texas
214 (±38.4%) 11.80 (±19.8%) 72.530 (±8.0%) 441.05 (±5.8%)
53
Livingston, Missouri
40 (±6.5%) fiterr (±err) 48.464 (±3.3%) 335.65 (±1.2%)
51
Fulton, Arkansas
17359 (±534.7%) fiterr (±err) 140.133 (±42.3%) 793.92 (±50.8%)
50
Warren, Illinois
79 (±6.9%) fiterr (±err) 52.592 (±2.8%) 356.59 (±1.2%)
49
Morgan, Missouri
229 (±69.6%) fiterr (±err) 83.637 (±13.7%) 469.78 (±11.6%)
46
Bonner, Idaho
22 (±14.2%) 11.50 (±25.7%) 31.698 (±8.6%) 343.56 (±1.3%)
45
Murray, Oklahoma
152 (±86.0%) fiterr (±err) 100.165 (±14.1%) 533.81 (±14.1%)
44
Menominee, Michigan
4121022 (±1116.7%) fiterr (±err) 185.150 (±44.4%) 1133.52 (±59.4%)
43
Clay, Illinois
55 (±20.0%) 7.12 (±9.0%) 50.203 (±12.0%) 331.66 (±4.0%)
42
Paulding, Ohio
37 (±4.4%) fiterr (±err) 33.479 (±3.2%) 329.41 (±0.5%)
41
Franklin, Arkansas
40 (±110.2%) 8.99 (±30.4%) 32.346 (±72.6%) 338.30 (±11.3%)
40
Siskiyou, California
11 (±4.5%) 15.49 (±31.3%) 19.696 (±5.6%) 336.32 (±0.3%)
39
Grant, Arkansas
12129 (±426.6%) fiterr (±err) 163.170 (±31.0%) 908.61 (±39.4%)
38
Woodward, Oklahoma
61 (±144.8%) fiterr (±err) 105.181 (±39.7%) 470.50 (±40.9%)
37
Garrard, Kentucky
4 (±1.6%) fiterr (±err) 31.118 (±5.3%) 232.83 (±0.7%)
35
Stone, Arkansas
711 (±1794.7%) 6.39 (±47.1%) 212.430 (±291.6%) 882.86 (±435.8%)
34
Hood River, Oregon
704 (±185.4%) 12.96 (±11.7%) 59.544 (±22.8%) 462.26 (±14.1%)
33
Watauga, North Carolina
401 (±193.5%) fiterr (±err) 97.529 (±28.9%) 542.34 (±28.1%)
32
Jay, Indiana
33 (±5.8%) fiterr (±err) 34.570 (±4.9%) 320.39 (±0.8%)
31
Morgan, Georgia
11 (±4.0%) fiterr (±err) 41.437 (±4.2%) 282.28 (±0.9%)
30
Day, South Dakota
53 (±16.5%) fiterr (±err) 41.476 (±6.6%) 360.95 (±1.9%)
29
De Witt, Illinois
313337 (±766.1%) fiterr (±err) 176.329 (±39.1%) 1039.48 (±51.2%)
28
Conejos, Colorado
3 (±2.8%) 53.12 (±16.1%) 14.772 (±8.6%) 317.73 (±0.3%)
27
Newton, Arkansas
46 (±120.5%) fiterr (±err) 110.113 (±86.0%) 257.03 (±121.8%)
26
Prairie, Arkansas
2346 (±194.3%) 10.82 (±26.3%) 126.979 (±19.4%) 701.70 (±22.3%)
25
Washington, Illinois
16184 (±884.7%) fiterr (±err) 82.179 (±64.4%) 575.94 (±56.8%)
24
Prowers, Colorado
25 (±9.7%) fiterr (±err) 32.892 (±10.4%) 317.95 (±1.1%)
23
Franklin, Iowa
19 (±3.4%) 5.54 (±17.8%) 28.244 (±27.8%) 171.37 (±11.3%)
22
Howard, Iowa
46 (±57.4%) fiterr (±err) 82.978 (±21.8%) 379.13 (±18.0%)
21
Avery, North Carolina
19 (±5.3%) 4.85 (±30.6%) 24.858 (±5.2%) 333.70 (±0.4%)
20
Yellow Medicine, Minnesota
21 (±4.0%) fiterr (±err) 43.495 (±2.9%) 313.31 (±0.8%)
19
Sharkey, Mississippi
24 (±34.4%) 6.22 (±19.0%) 72.253 (±37.5%) 214.06 (±21.5%)
18
Scott, Arkansas
124582 (±811.2%) 8.49 (±39.1%) 123.656 (±41.3%) 789.59 (±47.7%)
17
Clearwater, Minnesota
15 (±3.2%) fiterr (±err) 23.178 (±4.0%) 326.70 (±0.2%)
16
Madison, Virginia
6 (±5.6%) 14.37 (±15.0%) 4.973 (±96120539839.4%) 53.90 (±280844718948.5%)

For countries in this list, the number of dead people must be at minimum 13 people. In the list of numbers of a country, there must be at least 7 different numbers. The turning point is guessed by using half the maximum number and then looks for the first value above that value. If the turning point is at the last value, the fit is omitted.

Locations or countries with not enough data points or other reasons are skipped and can be found in this list.


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