*Ecological Archives* E096-241-A3

Kurt E. Anderson, Brian D. Inouye, Nora Underwood. 2015. Can inducible resistance in plants cause herbivore aggregations? Spatial patterns in an inducible plant/herbivore model. *Ecology* 96:2758–2770. http://dx.doi.org/10.1890/14-1697.1

Appendix C. Figures showing further examples of model spatiotemporal dynamics.

Fig. C1. Spatiotemporal dynamics exhibited by the OBEM model when the system experiences a uniform perturbation. Dynamics were obtained via numerical simulation of the full non-linear model over one hundred patches with periodic boundary conditions. Each location represents a patch. In each example, herbivores have an initial density that is 10% above the uniform steady state, while inducible resistance is at its uniform steady state. The strength of induction on mortality *β* is varied. When *β* is small, the system quickly returns to its uniform steady state. When *β* increases, however, the system becomes less stable; exhibiting damped and eventually sustained oscillations that are synchronized across patches. Other parameter values are *τ* = 2.0, *χ* = 30.0, *D* = 12.0, *b* = 1.0, *θ* = 5.0.

Fig. C2. Spatiotemporal dynamics exhibited by the LBME model with different time delays in the onset of induction. In these cases, the induction shape parameter *θ* = 1, meaning that it does not exhibit a sigmoid shape. Dynamics were obtained via numerical simulation of the full non-linear model over one hundred patches with periodic boundary conditions. Each location represents a patch. In each example, herbivores have an initial density that varies across patches as a sine wave with a spatial frequency *k* = 1.047, which corresponds to a spatial wavelength of ≈ 17 patches. Inducible resistance is at its uniform steady state. The scale of the time axis varies among scenarios for presentation purposes. Other parameter values are *r* = 0.1, *β* = 0.3, *χ* = 1.0, *D* = 0.1, *b* = 1.5.