Spatial Coupling of Plant and Herbivore Dynamics: The Contribution of Herbivore Dispersal to Transient and Persistent "Waves" of Damage

Spatial variations in the abundance of insect herbivores and in herbivore damage are both striking an commonplace. The standard explanations for heterogeneity in herbivore attack emphasize spatial variations in plant genetype, soils, or physical environment. Here I examine an alternative hypothesis-that heterogeneity arises in plant-herbivore systems, even in homogeneous environments, as a result of the direct coupling of herbivore movement to herbivore density and plant quality. Using a mathematical model for plant quality and herbivore growth and dispersal, I demonstrate how spatial instabilities about homogeneous steady state values result in both transient and stationary waves of damage to the plant. Key herbivore movement behaviors include the tendendy for herbivores to aggregate over a range of spatial scales for increased feeding efficiency and the tendency for herbivores to move up gradients in plant quality (herbivory-taxis). My approach translates the biased "random walk" behavior of individual herbivores into a continuum partial differential equation model. Analytical and numerical methods are used to demonstrate the nature of the spatio-temporal variations in plant quality and herbivore density.