Computationally efficient statistical differential equation modeling using homogenization
Journal of Agricultural, Biological, and Environmental Statistics
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Abstract
Statistical models using partial differential equations (PDEs) to describe dynamically evolving natural systems are appearing in the scientific literature with some regularity in recent years. Often such studies seek to characterize the dynamics of temporal or spatio-temporal phenomena such as invasive species, consumer-resource interactions, community evolution, and resource selection. Specifically, in the spatial setting, data are often available at varying spatial and temporal scales. Additionally, the necessary numerical integration of a PDE may be computationally infeasible over the spatial support of interest. We present an approach to impose computationally advantageous changes of support in statistical implementations of PDE models and demonstrate its utility through simulation using a form of PDE known as “ecological diffusion.” We also apply a statistical ecological diffusion model to a data set involving the spread of mountain pine beetle (Dendroctonus ponderosae) in Idaho, USA.
Suggested Citation
Hooten, M., Garlick, M.J., and Powell, J., 2013, Computationally efficient statistical differential equation modeling using homogenization: Journal of Agricultural, Biological, and Environmental Statistics, v. 18, no. 3, p. 405-428, https://doi.org/10.1007/s13253-013-0147-9.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Computationally efficient statistical differential equation modeling using homogenization |
| Series title | Journal of Agricultural, Biological, and Environmental Statistics |
| DOI | 10.1007/s13253-013-0147-9 |
| Volume | 18 |
| Issue | 3 |
| Publication Date | May 29, 2013 |
| Year Published | 2013 |
| Language | English |
| Publisher | Springer |
| Contributing office(s) | Colorado Cooperative Fish and Wildlife Research Unit |
| Description | 24 p. |
| Larger Work Type | Article |
| Larger Work Subtype | Journal Article |
| Larger Work Title | Journal of Agricultural, Biological, and Environmental Statistics |
| First page | 405 |
| Last page | 428 |