Thomas Jefferson Papers
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Estimates of Men Eligible for Militia, [on or after 22 October 1805]

Estimates of Men Eligible for Militia

[on or after 22 Oct. 1805]

of the age of 18 & under 45. militia law.

of 16. & under 26. } 384,554
census
of 26. & under 45 423,836


of 106,951 persons of 16. & under 26 by Buffon1 22,362 are in their 17th. or 18th year

then as 106,951 : 22,362 :: 384,554 : 80,405 in their 17th. or 18th. year in US
subtract this from 384,554
remain of 18 & under 26. 304,149


Buffon
from 106,951 persons of 16. & under 26
subtract 22,362 who are in their 17th. or 18th. year
remain 84,589 of the age of 18. & under 26. by Buffon


Buffon US Buffon
then as 84,589 : 304,149 :: 11014 : x = those in their 19th. year in US.
then x = 304,149 × 11,014 = 3.5957 × 11,014 or say 3.6 × 11014
84,589
those in their 19th. year are 3.6 × 11,014 = 39,591
20th. 10,919 = 39,250
21st. 10,768 = 38,706
22d. 10,675 = 38,373
23d. 10,514 = 37,793
24th. 10,380 = 37,312
25th. 10,259 = 36,876
26th. 10,060 = 36,161  304,062


Buffon’s table presents2 168,200 persons of 26 & under 45

our census presents 423,836 of the same ages

Buffon US in 27th. y
then as 168,200 : 423,836 :: 9926 : 423,836 × 9926 = 2.52 × 9926
168,200
those in their 27th. year are 2.52 × 9,926. = 25,013
28th 9,793 = 24,678
29th 9,640 = 24,292
30th. 9,544 = 24,051
31st. 9,307 = 23,453
32d. 9,245 = 23,297
33d. 9,045 = 22,792
34th. 8,912 = 22,457
35th. 84,182 8,770 = 22,100
36th. 8,515 = 21,458
37th. 8,328 = 20,986
 
38th. 8,176 = 20,603
39th. 8,016 = 20,200
40th. 7,929 = 19,980
41st. 7,525 = 18,962
42d. 7,444 = 18,758
43d. 7,252 = 18,275
44th. 7,124 = 17,952
45th. 7,008 = 17,660
46th. 84,018 6,701 = 16,886 423853
168,200 727,915

MS (DLC: TJ Papers, 232:41528); undated; entirely in TJ’s hand; on verso of a clipped address sheet with remnant text probably addressed to TJ in Washington by an unidentified hand.

militia law: see Dearborn to TJ, 22 Oct.

As he had on previous occasions, TJ in compiling these demographic calculations was relying on a technique and some figures provided by the Comte de Buffon, who in a supplement to his Histoire naturelle, générale et particulière used mortality tables for several French parishes to calculate the number of persons for each age year. In his response to Dearborn on 23 Oct., TJ sent figures for militia-eligible ages, using as he did above a coefficient of 3.6 for ages 19 to 26 and a coefficient of 2.52 for ages 27 to 45. In a very similar set of calculations, likely done around the same time, he applied a single coefficient of 2.88 for all ages (MS in same, 232:41529, on verso of sheet addressed by Dearborn: “The President”; Georges Louis Leclerc, Comte de Buffon, Oeuvres complètes de M. le Cte. de Buffon, 62 vols. [Paris, 1774-79], 4:385-418; Sowerby, description begins E. Millicent Sowerby, comp., Catalogue of the Library of Thomas Jefferson, Washington, D.C., 1952–59, 5 vols. description ends No. 1024; Vol. 15:394, 398n; Vol. 31:293–5).

1Preceding two words interlined.

2Preceding three words interlined in place of “of.”

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