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A two-sex matrix population model to represent harem structure.

Anthony Tongen1, Maria Zubillaga, Jorge E Rabinovich

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This study introduces a new matrix population model to accurately represent harem social structures in species. The model calculates population growth rates and mathematical expressions for harem size, improving ecological modeling for polygynous species.

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Area of Science:

  • Ecology
  • Population Dynamics
  • Mathematical Biology

Background:

  • Traditional population dynamic models often overlook male reproductive contributions, especially in polygynous species.
  • Accurately modeling species with harem social structures requires incorporating male reproductive roles.

Purpose of the Study:

  • To develop an adaptable matrix population modeling framework for species with harem social structures.
  • To calculate population growth rates, stable stage distributions, and mathematical expressions for harem size.

Main Methods:

  • Developed an adaptable matrix population modeling framework.
  • Assumed one time step for transitions from newborn to juvenile and juvenile to adult.
  • Calculated population growth rates, stable stage distributions, and harem size expressions.

Main Results:

  • The developed model provides a framework for analyzing population dynamics in harem-forming species.
  • Mathematical expressions for harem size were derived.
  • The model was applied to two mammal species with varying harem behaviors.

Conclusions:

  • The new matrix population model effectively incorporates male reproductive roles in harem structures.
  • This framework enhances the accuracy of population dynamic predictions for polygynous species.
  • The model offers valuable insights into the reproductive performance and population changes in harem-based social systems.