Vm. Trenkel et al., Fitting population dynamics models to count and cull data using sequentialimportance sampling, J AM STAT A, 95(450), 2000, pp. 363-374
For prudent wildlife management based on population dynamics models, it is
important to incorporate parameter uncertainty into the management advice.
Much parameter uncertainty originates when It Is not possible to parameteri
ze the population management model for a population of interest using data
from that population alone. Instead, information about parameter values obt
ained from other populations of the same species, or even from similar spec
ies, must be used. In addition, the age structure of wildlife populations i
s generally unknown. We show how sequential importance sampling can be used
for combining information on demographic processes, obtained from closely
studied populations, with aggregated count and cull information from the po
pulation to be managed. We resample parameter sets using kernel smoothing,
which has the effect of perturbing parameter values. We show how the fitted
model can be used to explore alternative culling strategies for red deer i
n Scotland.