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Search in patchy media: Exploitation-exploration tradeoff.

M Chupeau1,2, O Bénichou2, S Redner3,4

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Summary
This summary is machine-generated.

Maximizing resource exploitation involves a minimal exploitation-migration model. Exploring multiple patches and optimizing searcher movement maximizes resource consumption, even in complex environments.

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Area of Science:

  • Ecology
  • Theoretical Ecology
  • Mathematical Biology

Background:

  • Patchy environments present challenges for resource exploitation.
  • Understanding searcher behavior is crucial for efficient resource utilization.

Purpose of the Study:

  • To develop a minimal model for resource exploitation and migration.
  • To determine optimal strategies for maximizing resource consumption in patchy environments.

Main Methods:

  • Introduced an exploitation-migration model coupling searcher trajectory (random walk) with resource depletion.
  • Analyzed a non-Markovian searcher that migrates after a set number of unsuccessful steps.
  • Computed the distribution of consumed resources over time (F_t).

Main Results:

  • Resource consumption is maximized by exploring multiple patches.
  • Derived an optimal strategy for maximizing F_t in one dimension, robust to resource distribution and patch-leaving criteria.
  • Identified an optimum for F_t in two-dimensional patchy environments.

Conclusions:

  • Optimal resource exploitation in patchy environments involves strategic migration and exploration.
  • The derived strategy provides a robust framework for understanding foraging behavior.
  • The model offers insights applicable to ecological and biological systems.