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Inhibitory geostatistical designs for spatial prediction taking account of uncertain covariance structure

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Chipeta, Michael G, Terlouw, Anja ORCID: https://orcid.org/0000-0001-5327-8995, Phiri, Kamija S and Diggle, Peter J (2017) 'Inhibitory geostatistical designs for spatial prediction taking account of uncertain covariance structure'. Environmetrics, Vol 28, Issue 1, e2425.

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Abstract

The problem of choosing spatial sampling designs for investigating an unobserved spatial phenomenon S arises in many contexts, for example in identifying households to select for a prevalence survey to study disease burden and heterogeneity in a study region D. We studied randomised inhibitory spatial sampling designs to address the problem of spatial prediction whilst taking account of the need to estimate covariance structure. Two specific classes of design are inhibitory designs and inhibitory designs plus close pairs. In an inhibitory design, any pair of sample locations must be separated by at least an inhibition distance δ. In an inhibitory plus close pairs design, n − k sample locations in an inhibitory design with inhibition distance δ are augmented by k locations each positioned close to one of the randomly selected n − k locations in the inhibitory design, uniformly distributed within a disc of radius ζ. We present simulation results for the Mat´ern class of covariance structures. When the nugget variance is non-negligible, inhibitory plus close pairs designs demonstrate improved predictive efficiency over designs without close pairs. We illustrate how these findings can be applied to the design of a rolling Malaria Indicator Survey that forms part of an ongoing large-scale, five-year malaria transmission reduction project in Malawi.

Item Type: Article
Subjects: WA Public Health > Statistics. Surveys > WA 950 Theory or methods of medical statistics. Epidemiologic methods
WB Practice of Medicine > Medical Climatology > WB 700 Medical climatology. Geography of disease
WC Communicable Diseases > Tropical and Parasitic Diseases > WC 755 Epidemiology
Faculty: Department: Clinical Sciences & International Health > Clinical Sciences Department
Digital Object Identifer (DOI): https://doi.org/10.1002/env.2425
Depositing User: Helen Wong
Date Deposited: 23 Sep 2016 11:10
Last Modified: 13 Sep 2019 13:10
URI: https://archive.lstmed.ac.uk/id/eprint/6180

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