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Complexity and demographic stability in population models.

Lloyd Demetrius1, Volker Matthias Gundlach, Gunter Ochs

  • 1Department of Organismic and Evolutionary Biology, Harvard University, Cambridge, MA 02138, USA. ldemetr@oeb.harvard.edu

Theoretical Population Biology
|April 7, 2004
PubMed
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Population stability, measured by decay of fluctuations, links to age-specific birth/death rate variability. Evolutionary entropy positively correlates with demographic stability, predicting trends under ecological constraints.

Area of Science:

  • Ecology
  • Evolutionary Biology
  • Mathematical Biology

Background:

  • Population stability is crucial for ecological dynamics.
  • Demographic stochasticity influences population fluctuations.
  • Age structure heterogeneity impacts population stability.

Purpose of the Study:

  • To link population stability with age-specific birth and death rate heterogeneity.
  • To establish a fluctuation theorem connecting demographic stability and evolutionary entropy.
  • To predict how ecological constraints affect evolutionary trends in stability.

Main Methods:

  • Utilizing large deviations theory.
  • Establishing a fluctuation theorem.
  • Analyzing correlations between ecological constraints and demographic stability.

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Main Results:

  • Demographic stability is positively correlated with evolutionary entropy.
  • Bounded growth constraints lead to increased stability.
  • Unbounded growth constraints show decreased stability in large populations and random changes in small populations.

Conclusions:

  • Ecological constraints significantly influence evolutionary trends in demographic stability.
  • The findings offer a new framework for understanding population number variations.
  • This research generalizes classical stability tenets in an evolutionary context.