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Uncertainty drives deviations in normative foraging decision strategies.

Zachary P Kilpatrick1,2, Jacob D Davidson3,4,5, Ahmed El Hady6

  • 1Department of Applied Mathematics, University of Colorado, Boulder, CO 80309, USA.

Journal of the Royal Society, Interface
|July 13, 2021
PubMed
Summary

Animals foraging for resources face uncertainty. This study introduces a mathematical model where foragers use Bayesian updating to estimate patch yields, influencing decisions to leave patches and affecting harvest strategies compared to traditional theories.

Keywords:
decision-makingevidence accumulationforagingnormative theory

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Area of Science:

  • Behavioral Ecology
  • Mathematical Biology
  • Theoretical Ecology

Background:

  • Animals forage to survive, with patch exploitation being a key behavior.
  • Existing mathematical models for foraging under uncertainty need improvement for tractability.

Purpose of the Study:

  • To develop a normative theory for patch foraging decisions under uncertainty.
  • To model how foragers infer resource yields and decide when to leave a patch.

Main Methods:

  • Developed a mathematical model using Bayesian updating for foragers to estimate resource yields.
  • Simulated foragers making departure decisions based on certainty and estimated patch yield thresholds.

Main Results:

  • Foraging uncertainty impacts patch residence times and departure rules.
  • Uncertainty causes foragers to overharvest low-yield patches and underharvest high-yield patches compared to the marginal value theorem.
  • Slow depletion (e.g., habitat selection) leads to departures driven by reduced uncertainty.

Conclusions:

  • The developed theory extends optimal foraging theory by incorporating uncertainty.
  • The model provides a framework for understanding how uncertainty shapes foraging behavior and resource exploitation.