A Singularity of Fertility Decline Is Lot-et-Garonne

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Abstract

Although we generally tend to conceive that fertility decline has been caused by the alterations of socioeconomic conditions, fertility decline in the 19th century in Europe was a reaction-diffusion process independent of them (e.g., see Coale, 1967, 1973; Becker, 1978, 1981). Once we postulate a reaction-diffusion process for this phenomenon, we can estimate the velocity of a progressive wave of diffusion. By means of the estimated velocity, we can estimate where a singularity of fertility decline was and when it appeared. The singularity existed in a French district Aquitaine basin. From Lot-et-Garonne in Aquitaine, the reaction-diffusion of fertility decline began to diffuse to all Europe maintaining relative independence of socioeconomic conditions.

Original languageEnglish
Pages (from-to)137-155
Number of pages19
JournalJournal of Mathematical Sociology
Volume36
Issue number3
DOIs
StatePublished - Jul 2012

Keywords

  • Aquitaine
  • fertility decline
  • Lot-et-Garonne
  • progressive wave
  • reaction-diffusion
  • singularity
  • stochastic process

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