Wolf and Elk Management in a Spatial Predator-Prey Ecosystem David Aadland David Finnoff Jacob Hochard Charles Sims* July 11, 2016 Abstract. This paper provides insights into a complex and politically charged wildlife management problem using a spatial predator-prey model. The model is motivated by the spatiotemporal dynamics between elk, wolves, hunters and cattle ranchers in the Greater Yellowstone Ecosystem (GYE). Wildlife managers set hunting rates for elk and wolves to maximize the stream of ecosystem services derived from the GYE over time. The management component of the model considers tradeoffs between tourism, hunting, and cattle grazing currently facing wildlife managers. The predator-prey component of the model incorporates intraspecific competition and spatially explicit predation risk calibrated to the GYE. Contrary to a recent judicial ruling that has placed a moratorium on hunting wolves in Wyoming, optimal management within our model calls for more aggressive wolf hunting outside of Yellowstone National Park (YNP). The model also calls for a lower elk hunting rate, which leads to a higher steady-state population of elk, more prey for wolves, and less livestock predation. This combination of a prescribed lower elk hunting rate and higher wolf hunting rate is robust to a wide range of parameter values. *Aadland (
[email protected]) and Finnoff are associate professors in the Department of Economics and Finance, 1000 E. University Avenue, Laramie, WY 82071. Hochard is an assistant professor in the Department of Economics, East Carolina University. Sims is an assistant professor in the Department of Economics, University of Tennessee. 1 “The wolf’s repopulation of the northern parts of the lower forty-eight states, now well under way, will stand as one of the primary conservation achievements of the twentieth century…If we have learned anything from this ordeal, it is that the best way to ensure continued wolf survival is, ironically enough, not to protect wolves completely.” L.