Studies of forest declines are important, because
forest declines both reduce timber production and affect
successional trajectories of landscapes and ecosystems. Of
particular interest is decline of red pines which is characterized
by expanding pockets of dead and chlorotic trees in
plantations throughout the Great Lakes Region. Here we examine the
impact of two bark beetle groups, red turpentine beetles and pine
engraver bark beetles, on tree mortality and the subsequent gap
formation over time in a plantation. We construct spatial-temporal
statistical models that quantify the relations among red
turpentine beetle colonization, pine engraver bark
beetle colonization, and mortality of trees, while accounting for
correlation across space and over time. For statistical inference,
we adopt a Bayesian hierarchical model and devise Markov chain
Monte Carlo algorithms for obtaining posterior distributions of
the model parameters as well as
posterior predictive distributions.