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Time delays in density dependence are often not destabilizing

Rodriguez1

  • 1Instituto de Zoologia Tropical, Universidad Central de Venezuela, Apartado 47058, Caracas, 1041-A, Venezuela.

Journal of Theoretical Biology
|May 29, 1998
PubMed
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Time delays in population density dependence can cause fluctuations. Mathematical models show that spatial overlap of preadult cohorts, not just time delays, can destabilize populations.

Area of Science:

  • Ecology
  • Population Dynamics
  • Mathematical Biology

Background:

  • Time delays in density dependence are linked to population size fluctuations.
  • Mathematical models suggest sufficient delays can induce limit cycles.
  • Maturation time delays can cause fluctuations in adult population size in species with distinct preadult and adult phases.

Purpose of the Study:

  • To develop mathematical models of population growth incorporating time delays.
  • To analyze the conditions under which time delays destabilize populations with preadult and adult phases.

Main Methods:

  • Development of mathematical models for population growth.
  • Analysis of model behavior under varying conditions of spatial overlap and density dependence.

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Main Results:

  • When preadult cohorts do not overlap spatially and mortality depends on current preadult density, time delays do not destabilize the population.
  • Spatial overlap of preadult cohorts, with density-dependent mortality, can lead to population destabilization by time delays.

Conclusions:

  • Time delays in density effects during preadulthood are not inherently destabilizing.
  • Population fluctuations can result from time delays combined with density effects in preadulthood and adulthood, or from external factors.