Probabilistic forecasting using stochastic diffusion models, with applications to cohort processes of marriage and fertility.

In this article, we show how stochastic diffusion models can be used to forecast demographic cohort processes using the Hernes, Gompertz, and logistic models. Such models have been used deterministically in the past, but both behavioral theory and forecast utility are improved by introducing randomn...

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Publicado en:Demography (Springer Nature) Vol. 50; no. 1; pp. 237 - 261
Autores principales: Myrskylä M, Goldstein JR, Myrskylä, Mikko, Goldstein, Joshua R
Formato: Journal Article
Publicado: Springer Nature Feb2013
Acceso en línea:Ver este registro en EBSCOhost
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          Myrskylä M
          Goldstein JR
          Myrskylä, Mikko
          Goldstein, Joshua R
        affil: Research Group Lifecourse Dynamics and Demographic Change, Max Planck Institute for Demographic Research, Rostock, Germany
      sug:
        subj:
          Birth Rate
          Marital Status
          Systems Analysis
          Adult
          Age Factors
          Europe
          Middle Age
          Statistics
          Time Factors
          Uncertainty
          Adult: 19-44 years
          Middle Aged: 45-64 years
      ab: In this article, we show how stochastic diffusion models can be used to forecast demographic cohort processes using the Hernes, Gompertz, and logistic models. Such models have been used deterministically in the past, but both behavioral theory and forecast utility are improved by introducing randomness and uncertainty into the standard differential equations governing population processes. Our approach is to add time-series stochasticity to linearized versions of each process. We derive both Monte Carlo and analytic methods for estimating forecast uncertainty. We apply our methods to several examples of marriage and fertility, extending them to simultaneous forecasting of multiple cohorts and to processes restricted by factors such as declining fecundity.
      pubtype: Academic Journal
      doctype: Journal Article
      ougenre: Article
    language: English
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