Authors: J M Angulo A E Madrid
Publish Date: 2013/09/18
Volume: 28, Issue: 4, Pages: 1061-1073
Abstract
A key objective in spatiotemporal modeling consists of providing an appropriate representation of complexity in interactive spatiotemporal dynamics inherent to real phenomena Propagated effect of dynamical spatial deformation provides a meaningful way to describe certain forms of heterogeneous behaviour in particular in relation to processes evolving in unstable media or to account for the possible effect of covariates to mention some significant interpretations In this paper the formulation of a discrete time and continuous space spatiotemporal interaction model with autoregressive dynamics incorporating the effect of continuous deformation of the spatial support over time is studied Among other fields this approach provides a suitable representation for a variety of geophysical and environmental applications In particular a vast family of heterogeneous models is generated from models which display homogeneity in the absence of deformation Structural characteristics and variability properties as well as selfconsistency conditions for a limiting continuoustime approximation are analyzedThe authors are grateful to the reviewers for very constructive comments and suggestions which have lead to significant improvements in the final version with respect to the original manuscript This work has been supported in part by projects MTM200913250 and MTM201232666 of the SGPI and P08FQM3834 of the Andalusian CICE Spain
Keywords: