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Renato Vieira dos Santos1, Fabiano L Ribeiro1, Alexandre Souto Martinez2

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This study introduces novel Allee effect models for single species, deriving population growth rates from individual interactions. These models use physical principles to describe cooperation and competition based on proximity.

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Area of Science:

  • Ecology
  • Mathematical Biology
  • Theoretical Ecology

Background:

  • The Allee effect describes reduced per capita growth at low population densities.
  • Existing models often lack a basis in fundamental physical principles.
  • Understanding individual interactions is key to macroscopic population dynamics.

Purpose of the Study:

  • To develop new single-species Allee effect models grounded in physical principles.
  • To link microscopic individual interactions to macroscopic population growth rates.
  • To explore novel modeling approaches for ecological phenomena.

Main Methods:

  • Modeling single-species populations with an Allee effect.
  • Deriving per capita growth rate from individual interaction characteristics.
  • Applying fundamental physical principles to ecological interactions.
  • Defining interactions based on distance: cooperation (near), competition (intermediate), indifference (far).

Main Results:

  • A novel method to obtain per capita growth rate from microscopic interactions.
  • Development of Allee effect models based on distance-dependent individual behavior.
  • Integration of physical principles into ecological population dynamics.

Conclusions:

  • The proposed approach offers a new framework for Allee effect modeling.
  • This method connects individual-level behaviors to population-level outcomes.
  • The findings contribute to a more mechanistic understanding of population dynamics.