Census of Middle-earth

The Noldor

(a) of the Noldor in Valinor, one tithe didn't go to Beleriand [I suppose it's one tithe of the males - those that count in War]

(b) the Edain in Beleriand were less numerous (at least in the beginning) than the Elves. And there were some thousands of them.

(c) At arrival, Turgon's folk was 1/3 of the total of Fingolfin's folk (that also included Fingon's folk)

(d) At arrival, Feanor's folk was close to (but less than) 1/2 of the total number of Noldor

(e) Turgon's army in the Nirnaeth was composed of 10,000 elves

From these data, and supposing that the Elves doubled their numbers in Beleriand [*], I propose the following numbers, at arrival:

• Feanor: 7,000 to 9,000 Noldor (how many ships?)
• Fingolfin total: 7,500
• Fingon: 5,000 Noldor
• Turgon: 2,500 Noldor
• Finrod Felagund: 1,500 Noldor
From the initial 144 elves that awoke roughly 1/3 were Noldor, and roughly half of them went to Valinor, and half of them were male.

So, the initial 12 male Noldor were multiplied to 17,000 males in 4300 Years. If we suppose a constant number (k) of children per couple, and a period of 100 years between generations, we have:

• Sun Year 1050: 12 male Noldor pre-Eldar
• Sun Year 1060: 12 + 12 * k
• Sun Year 1070: 12 + 12 * k + 12 * k2
• ...
After 43 generations: 12 * (1 + k + ... + k43) = 12 * (k44 - 1) / (k - 1)

So: 12 * (k44 - 1) = 17000 * (k - 1)

The solution to this is around k = 1.10, or 2.2 children per couple. So, at the start of the trip, there would be from 600 to 900 elves, of which half of them went to Valinor, and half of them were male.

One problem mentioned in the list was that Orome had given weapons to the travelling elves. Orome had to bring 150 to 225 weapons - not a great feat of strength for a Demiurgic Creature!

[*] Of couse, now I must revise this statement. From the 17,000 Noldor that arrived, 12 * k43 = 700 are young (and fertile). Supposing that they married Sindar Elf-maidens, in the 5 generations in Beleriand they would add more 1400 * (k + k2 + ... + k5) elves, or 9500, of the order of the initial estimate.