Embargoed and Restricted Access
Reason: Under embargo until 31 September 2023. After this date a copy can be supplied under Section 51(2) of the Australian Copyright Act 1968 by submitting a document delivery request through your library.
Designs for spatial and spatio-temporal models
This thesis determines optimal experimental designs for geostatistical models, under various frequentist and Bayesian setups. For simple and ordinary kriging and cokriging, equispaced designs minimize some functions of the prediction error and are proved to be G-optimal and I-optimal. G-optimal designs for universal kriging models are found to be symmetric and concentrated near the boundaries. To address a more practical scenario, deterministic algorithms are proposed for finding retrospective optimal designs by the addition or deletion of points from an already existing design. The theory is illustrated by designing an optimal water monitoring network for an Indian river.