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The age-structured lottery model.

Sonya Dewi1, Peter Chesson

  • 1Ecosystem Dynamics Group, Australian National University, Canberra, Australia. s.dewi@cigar.org

Theoretical Population Biology
|October 3, 2003
PubMed
Summary
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The lottery model explains species coexistence through environmental fluctuations and competition. Adding age structure slightly alters coexistence conditions, with mortality types influencing recovery and decline rates.

Area of Science:

  • Ecology
  • Population Dynamics
  • Theoretical Ecology

Background:

  • The lottery model is influential in understanding species coexistence in variable environments.
  • It introduced the storage effect as a key coexistence mechanism.
  • The model assumes environmental variation and competition affect recruitment, not adult survival.

Purpose of the Study:

  • To investigate the impact of age structure on species coexistence within the lottery model framework.
  • To compare results with the original lottery model by incorporating age structure into adult populations.
  • To quantify the effects of age structure on species' low-density growth rates using mortality and fecundity schedules.

Main Methods:

  • Incorporated age structure into the adult population of the lottery model.

Related Experiment Videos

  • Utilized shape characteristics for mortality and fecundity schedules.
  • Applied the standard invasibility coexistence criterion to assess species interactions.
  • Developed analytical approximations to understand the effects of age structure.

    • Main Results:

    • Age structure has a minor effect on coexistence conditions.
    • Type III mortality broadens coexistence conditions, while Type I mortality narrows them.
    • Age structure significantly modifies the rates of recovery from low density and competitive exclusion.
    • Type I mortality or early reproduction increases recovery/decline rates; Type III mortality or late reproduction decreases them.

    Conclusions:

    • Age structure minimally impacts species coexistence conditions in the lottery model.
    • Mortality patterns (Type I vs. Type III) and reproductive timing play a crucial role in population dynamics.
    • The effects of age structure can be viewed as modifications to the original lottery model's growth rates.