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Keywords:

  • Finite elements;
  • Functional data analysis;
  • Penalized smoothing;
  • Semiparametric model;
  • Spatial data analysis

Summary

We describe a model for the analysis of data distributed over irregularly shaped spatial domains with complex boundaries, strong concavities and interior holes. Adopting an approach that is typical of functional data analysis, we propose a spatial spline regression model that is computationally efficient, allows for spatially distributed covariate information and can impose various conditions over the boundaries of the domain. Accurate surface estimation is achieved by the use of piecewise linear and quadratic finite elements.