HEWITT, HOETING, DONE, AND TOWLER 34 Posterior mean 95% HPD Local effects β$_{0}$ − 0.00 ( − 0.14, 0.14) β$_{T}$ − 0.18 ( − 0.24, − 0.12) σ 2 w 0.55 (0.49, 0.62) σ 2 α 6.05 (1.04, 14.81) Covariance σ 2 ε 0.01 (0.01, 0.01) ρ$_{w}$ 248.00 (220, 280) ρ$_{α}$ 509.00 (266, 799) Table 1: Posterior mean estimates and 95% highest posterior density (HPD) intervals for the RESP model’s parameters, which include an intercept β$_{0}$ and temperature effect β$_{T}$ on the mean response (see equation (3)), and covariance scale σ 2 and range ρ parameters for the local w and remote α spatial dependence and nugget effect ε (see (5) and (6)). The smoothness parameters ν$_{w}$ and ν$_{α}$ were fixed (Section 3.2).