Search Models in Fisheries and Agriculture

Various stochastic models associated with search problems in fisheries and agriculture are developed. This includes a discussion of binomial, Poisson, and negative binomial distributions and an introduction to diffusion processes. Random search models are discussed, followed by discussion of exhaustive search models. Two applications are presented. The first is a study of the relationship between catch per unit effort and stock abundance in fisheries. The second is a problem in trap spacing for the detection of an invading agricultural pest.