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Cities Transformed Demographic Change and Its Implications in the Developing World (2003) / Chapter Skim
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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.
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From page 485...
... . If such a limit exists, then asymptotically the urban and rural growth rates both equal r, the stable population growth rate.
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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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Key Terms

  • rural growth
  • national population
  • population growth
  • urban growth
  • limit exists

  • define rates
  • migration rates
  • rural populations
  • rural rates
  • population models

  • authors develop
  • analytic solutions
  • projection matrix
  • populations grow
  • gross migration

  • natural increase
  • origin populations
  • weighted average
  • population theory
  • llm taboo

  • population balance
  • stable solution
  • conventional stable
  • growth rate
  • growth rates

  • simple model
  • terms defined
  • terms employed
  • model described
  • main text


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