The evolutionary maintenance of Lévy flight foraging.

Area of Science:

• Ecology
• Evolutionary Biology
• Theoretical Biology

Background:

• Lévy flight is a random walk observed in diverse natural phenomena and species.
• The Lévy flight foraging hypothesis suggests natural selection favors this efficient search behavior.
• Existing models lack evolutionary maintenance and ecological breadth for Lévy flight foraging.

Purpose of the Study:

• To test the Lévy flight foraging hypothesis using evolutionary models.
• To investigate the evolutionary maintenance of Lévy-like behavior under various ecological conditions.

Main Methods:

• Numerical simulations with lineage-based evolutionary models.
• Incorporation of heritable move length as a variable trait.
• Inclusion of ecological factors: population size, search costs, lifespan, resource distribution, and speed.

Main Results:

• Selection frequently results in Lévy-like behavior, contingent on ecological factors.
• Smaller populations, longer search times, and lower search costs enhance Lévy-like behavior's fitness advantage.
• Lévy-like behavior demonstrates a bet-hedging strategy, reducing fitness variance and maximizing geometric mean fitness.

Conclusions:

• Evolutionary processes can maintain Lévy flight foraging behavior.
• Ecological context critically influences the fitness of Lévy-like foraging strategies.
• Lévy-like movement provides a robust bet-hedging strategy for long-term population survival.