How range residency and long-range perception change encounter rates.

Area of Science:

• Ecology
• Theoretical Ecology
• Movement Ecology

Background:

• Encounter rates are fundamental to understanding ecological interactions and population dynamics.
• Traditional models often assume uniform space use and local perception, based on Brownian motion.
• Empirical evidence increasingly shows non-uniform space use and nonlocal perception in animals.

Purpose of the Study:

• To investigate how realistic animal movement and perception strategies affect pairwise encounter rates.
• To derive new analytical expressions for encounter rates under Ornstein-Uhlenbeck motion.
• To compare predictions from Ornstein-Uhlenbeck motion with Reflected Brownian Motion.

Main Methods:

• Derived analytical expressions for encounter rates using Ornstein-Uhlenbeck (OU) motion.
• Compared OU-based encounter predictions with those from Reflected Brownian Motion (RBM).
• Analyzed the influence of perception scale and home-range size on encounter rates in both models.

Main Results:

• Ornstein-Uhlenbeck motion, incorporating non-uniform space use and distinct home ranges, provides a more realistic framework.
• Encounter rate predictions differ significantly when realistic movement and perception are considered compared to RBM.
• The interplay between perception scale and home-range size critically influences encounter rates.

Conclusions:

• Neglecting empirically supported animal behaviors leads to systematic biases in encounter-rate predictions.
• Ornstein-Uhlenbeck motion offers a more accurate theoretical basis for understanding ecological interactions.
• Accurate modeling of movement and perception is essential for advancing ecological theory.