The above relationship becomes the basis of my index of development.
Notes:
1. In a stable population with a male/female ratio of 1.00 and births equal deaths, the relationship should be:
births/1000/year = (lifetime average births/woman)*(500 women)/(years of life expectancy)
Births/woman = (births/1000/yr)/(500/LE) = LE*(births/1000/yr)/500
2. The expected relationship in a stable population for various life expectancies is given in the table below.
3. The average life expectancy at birth for humans on Earth in 2006 is 65. 
Births/ Births/ Births/ Births/
1000/year 1000/yr 1000/yr 1000/yr
Births/woman LE = 45 LE = 65 LE = 85 LE = 100
1 11.11 7.69 5.88 5.00
2 22.22 15.38 11.76 10.00
3 33.33 23.08 17.65 15.00
4 44.44 30.77 23.53 20.00
5 55.56 38.46 29.41 25.00
6 66.67 46.15 35.29 30.00
4. None of these countries has a stable age distribution, although Japan, Poland, Spain and the UK are close.
CIA World Factbook Data for Countries of at least 15 Million Population
Sorted by Births/1000 population/year.
Net = Life
Median Births Deaths Migr. B-D+M Expect. Ave. PPP GDP/
Dominant Pop. Age /1000 /1000 /1000 /1000 at Birth Births/ GDP Capita
Country Culture Millions Years pop/yr pop/yr pop/yr pop/yr Years woman $Billions $/person/yr Log(GDP/c)
Germany Christian 82.42 42.60 8.25 10.62 2.18 (0.19) 78.80 1.39 2,504.00 30,380 4.4826
Italy Christian 58.13 42.20 8.72 10.40 2.06 0.38 79.81 1.28 1,698.00 29,209 4.4655
Ukraine Orthodox 46.71 39.20 8.82 14.39 (0.43) (6.00) 69.98 1.17 340.40 7,287 3.8626
Japan Buddhist 127.46 42.90 9.37 9.16 0.00 0.21 81.25 1.40 4,018.00 31,523 4.4986
Poland Christian 38.54 37.00 9.85 9.89 (0.46) (0.50) 74.97 1.25 514.00 13,338 4.1251
Russia Orthodox 142.89 38.40 9.95 14.65 1.03 (3.67) 67.08 1.28 1,589.00 11,120 4.0461
Korea, South Buddhist 48.85 35.20 10.00 5.85 0.00 4.15 77.04 1.27 965.30 19,762 4.2958
Spain Christian 40.40 39.90 10.06 9.72 0.99 1.33 79.65 1.28 1,029.00 25,472 4.4061
Romania Orthodox 22.30 36.60 10.70 11.77 (0.13) (1.20) 71.63 1.37 183.60 8,232 3.9155
United Kingdom Christian 60.61 39.30 10.71 10.13 2.18 2.76 78.54 1.66 1,830.00 30,193 4.4799
Canada Christian 33.10 38.90 10.78 7.80 5.85 8.83 80.22 1.61 1,114.00 33,657 4.5271
Netherlands Christian 16.49 39.40 10.90 8.68 2.72 4.94 78.96 1.66 499.80 30,307 4.4815
France Christian 60.88 39.10 11.99 9.14 0.66 3.51 79.73 1.84 1,816.00 29,831 4.4747
Australia Christian 20.26 36.90 12.14 7.51 3.85 8.48 80.50 1.76 640.10 31,588 4.4995
Taiwan Buddhist 23.04 34.60 12.56 6.48 0.00 6.08 77.43 1.57 631.20 27,400 4.4378
China Buddhist 1,313.97 32.70 13.25 6.97 (0.39) 5.89 72.58 1.73 8,859.00 6,742 3.8288
Thailand Buddhist 64.63 31.90 13.87 7.04 0.00 6.83 72.25 1.64 560.70 8,675 3.9383
United States Christian 298.44 36.50 14.14 8.26 3.18 9.06 77.85 2.09 12,360.00 41,415 4.6172
Chile Christian LA 16.13 30.40 15.23 5.81 0.00 9.42 76.77 2.00 187.10 11,596 4.0643
Sri Lanka Buddhist 20.22 29.80 15.51 6.52 (1.23) 7.76 73.41 1.84 85.34 4,220 3.6253
Korea, North Buddhist 23.11 32.00 15.54 7.13 0.00 8.41 71.65 2.10 40.00 1,731 3.2382
Kazakhstan Muslim 15.23 28.80 16.00 9.42 (3.33) 3.25 66.89 1.89 124.30 8,160 3.9117
Brazil Christian LA 188.08 28.20 16.56 6.17 (0.03) 10.36 71.97 1.91 1,556.00 8,273 3.9177
Turkey Muslim 70.41 28.10 16.62 5.97 0.00 10.65 72.62 1.92 572.00 8,123 3.9097
Argentina Christian LA 39.92 29.70 16.73 7.55 0.40 9.58 76.12 2.16 518.10 12,978 4.1132
Vietnam Buddhist 84.40 25.90 16.86 6.22 (0.42) 10.22 70.85 1.91 232.20 2,751 3.4395
Iran Muslim 68.69 24.80 17.00 5.55 (0.48) 10.97 70.26 1.80 561.60 8,176 3.9125
Algeria Muslim 32.93 24.90 17.14 4.61 (0.35) 12.18 73.26 1.89 233.20 7,082 3.8501
Myanmar Buddhist 47.38 27.00 17.91 9.83 0.00 8.08 60.97 1.98 78.74 1,662 3.2206
South Africa African 44.19 24.10 18.20 22.00 (0.16) (3.96) 42.73 2.20 533.20 12,067 4.0816
Venezuela Christian LA 25.73 26.00 18.71 4.92 0.00 13.79 74.54 2.23 153.70 5,973 3.7762
Indonesia Muslim 245.45 26.60 20.34 6.25 0.00 14.09 69.87 2.40 865.60 3,527 3.5473
Colombia Christian LA 43.59 26.30 20.48 5.58 (0.30) 14.60 71.99 2.54 337.50 7,742 3.8889
Peru Christian LA 28.30 25.30 20.48 6.23 (1.01) 13.24 69.84 2.51 164.50 5,812 3.7643
Mexico Christian LA 107.45 25.30 20.69 4.74 (4.32) 11.63 75.41 2.42 1,067.00 9,930 3.9970
Morocco Muslim 33.24 23.90 21.98 5.58 (0.87) 15.53 70.94 2.68 138.30 4,160 3.6191
India Hindu 1,095.35 24.90 22.01 8.18 (0.07) 13.76 64.71 2.73 3,611.00 3,297 3.5181
Malaysia Muslim 24.39 24.10 22.86 5.05 0.00 17.81 72.50 3.04 290.20 11,900 4.0756
Egypt Muslim 78.89 24.00 22.94 5.23 (0.21) 17.50 71.29 2.83 303.50 3,847 3.5852
Philippines Christian 89.47 22.50 24.89 5.41 (1.48) 18.00 70.21 3.11 451.30 5,044 3.7028
Uzbekistan Muslim 27.31 22.70 26.36 7.84 (1.50) 17.02 64.58 2.91 48.24 1,767 3.2471
Syria Muslim 18.88 20.70 27.76 4.81 0.00 22.95 70.32 3.40 72.33 3,831 3.5833
Saudi Arabia Muslim 27.02 21.40 29.34 2.58 (4.94) 21.82 75.67 4.00 338.00 12,509 4.0972
Pakistan Muslim 165.80 19.80 29.74 8.23 (0.59) 20.92 63.39 4.00 393.40 2,373 3.3752
Bangladesh Muslim 147.37 22.20 29.80 8.27 (0.68) 20.85 62.46 3.11 304.30 2,065 3.3149
Ghana African 22.41 19.90 30.52 9.72 (0.11) 20.69 58.87 3.99 54.45 2,430 3.3856
Nepal Hindu 28.29 20.30 30.98 9.31 0.00 21.67 60.18 4.10 39.90 1,411 3.1494
Iraq Muslim 26.78 19.70 31.98 5.37 0.00 26.61 69.01 4.18 94.10 3,513 3.5457
Cameroon African 17.34 18.90 33.89 13.47 0.00 20.42 51.16 4.39 40.83 2,355 3.3719
Sudan Muslim 41.24 18.30 34.53 8.97 (0.02) 25.54 58.92 4.72 85.65 2,077 3.3174
Cote d'Ivoire African 17.65 19.20 35.11 14.84 0.00 20.27 48.82 4.50 28.52 1,615 3.2083
Mozambique African 19.69 18.30 35.18 21.35 0.00 13.83 39.82 4.62 26.03 1,322 3.1213
Tanzania African 37.45 17.70 37.71 16.39 (3.05) 18.27 45.64 4.97 27.07 723 2.8591
Ethiopia Muslim 74.78 17.80 37.98 14.86 0.00 23.12 49.03 5.22 62.88 841 2.9247
Kenya African 34.71 18.20 39.72 14.02 0.00 25.70 48.93 4.91 37.15 1,070 3.0295
Nigeria African 131.86 18.70 40.43 16.94 0.27 23.76 47.08 5.49 174.10 1,320 3.1207
Madagascar African 18.60 17.50 41.41 11.11 0.00 30.30 57.34 5.62 16.36 880 2.9444
Yemen Muslim 21.46 16.60 42.89 8.30 0.00 34.59 62.12 6.58 19.37 903 2.9556
Congo, Dem. R. African 62.66 16.20 43.69 13.27 0.23 30.65 51.46 6.45 40.67 649 2.8123
Afghanistan Muslim 31.06 17.60 46.60 20.34 0.42 26.68 43.34 6.69 21.50 692 2.8403
Uganda African 28.20 15.00 47.35 12.24 (1.40) 33.71 52.67 6.71 48.73 1,728 3.2376
Above Sample  5,922.24 27.26 22.36 9.26 (0.03) 13.07 67.18 2.92 55,230.06 9,326 3.9697
World 6,525.17 27.60 20.05 8.67 0.00 11.38 64.77 2.59 60,710.00 9,304 3.9687
Sample/World 0.91 0.99 1.12 1.07 1.15 1.04 1.13 0.91 1.00
EU27 486.64 39.36 10.00 10.10 1.50 1.40 78.30 1.47 12,820.00 26,344 4.4207
Correlations:
With Births/1000 (0.118) (0.912) 1.000 0.381 (0.309) 0.921 (0.808) 0.985 (0.326) (0.666) (0.851)
Net = Life
Median Births Deaths Migr. B-D+M Expect. Ave. PPP GDP/ Log(GDP/c)
Dominant Pop. Age /1000 /1000 /1000 /1000 at Birth Births/ GDP Capita
Culture Millions Years pop/yr pop/yr pop/yr pop/yr Years woman $Billions $/person/yr