Journal of Property Tax Assessment & Administration
Abstract
Location is a key factor in the valuation of residential properties, but it can be a challenge to capture its impact well. This paper considers a Gaussian Markov Random Field (GMRF) approach to modelling property values that enables the location element of the model to be considered as a smooth process and allows a more flexible correlation structure than alternatives. The model was built to value approximately 1.5 million properties in Wales, UK, for a revaluation planned by the Welsh Government. Due to the large scale of the model a Bayesian technique, known as the Integrated Nested Laplace Approximation (INLA), was employed to make the model computationally feasible. This method allowed spatial dependence to be accounted for and improved model performance over a mixed model with nested geographical variables.
First Page
37
Last Page
53
Keywords
Statistics, Real property - Valuation
Recommended Citation
Osuno, E.
(2026).
A Gaussian Markov Random Field model for the valuation of domestic properties in Wales, UK, using INLA.
Journal of Property Tax Assessment & Administration,
23(1), 37-53.
DOI: https://doi.org/10.63642/3067-4816.1282