Spatial regression models over two-dimensional manifolds

B. Ettinger, S. Perotto and L. M. Sangalli

Biometrika, 2016, vol. 103, issue 1, 71-88

Abstract: We propose a regression model for data spatially distributed over general two-dimensional Riemannian manifolds. This is a generalized additive model with a roughness penalty term involving a differential operator computed over the non-planar domain. By virtue of a semiparametric framework, the model allows inclusion of space-varying covariate information. Estimation can be performed by conformally parameterizing the non-planar domain and then generalizing existing models for penalized spatial regression over planar domains. The conformal coordinates and the estimation problem are both computed with a finite element approach.

Date: 2016
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Citations: View citations in EconPapers (8)

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