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Appendix B: Mathematical Derivations
Pages 484-486

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From page 484...
... , who have put emphasis on their links to stable population theory. Alternative approaches can also be found in the literature; for example, some authors develop their equations in terms of net rather than gross migration rates, and others define rates of migration in terms of destination rather than origin populations.
From page 485...
... . If such a limit exists, then asymptotically the urban and rural growth rates both equal r, the stable population growth rate.
From page 486...
... 486 The difference between the urban and rural growth rate is URGDt_ ~ = (~n—marry—For—mr'n) + U CITIES TRANSFORMED mr'n— Ut_i Rt_i This relationship plays an important role in United Nations projections.

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