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 language | English |
|---|---|
| Pages (from-to) | 137-155 |
| Number of pages | 19 |
| Journal | Journal of Mathematical Sociology |
| Volume | 36 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jul 2012 |
Keywords
- Aquitaine
- fertility decline
- Lot-et-Garonne
- progressive wave
- reaction-diffusion
- singularity
- stochastic process