Optimal Control and Spatial Heterogeneity: Pattern Formation in Economic-Ecological Models

Optimal Control and Spatial Heterogeneity: Pattern Formation in Economic-Ecological Models

This paper extends Turing analysis to standard recursive optimal control frameworks in economics and applies it to dynamic bioeconomic problems where the interaction of coupled economic and ecological dynamics under optimal control over space creates (or destroys) spatial heterogeneity. We show how our approach reduces the analysis to a tractable extension of linearization methods applied to th...

Pattern Formation, Spatial Externalities and Regulation in Coupled Economic-Ecological Systems

We develop a novel theoretical framework for studying ecosystems in which interacting state variables which are affected by management decisions diffuse in space. We identify (i) mechanisms creating spatial patterns when economic agents maximize profit at each site by ignoring the impact of their actions on other sites and (ii) a diffusion induced externality. Pattern formation mechanisms and e...

Pattern formation and chaos in spatial ecological public goodsgames.

Cooperators and defectors can coexist in ecological public goods games. When the game is played in two-dimensional continuous space, a reaction diffusion model produces highly irregular dynamics, in which cooperators and defectors survive in ever-changing configurations (Wakano et al., 2009. Spatial dynamics of ecological public goods. Proc. Natl. Acad. Sci. 106, 7910-7914). The dynamics is rel...

Ecological and Socio-ecological Economic Models

Spatial Pattern and Characteristic of Tree-fall Gaps to Approach Ecological Forestry in Northern Iran

Gaps created by falling trees (tree-fall gaps) are a natural disturbance in forest ecosystems. Understanding scale, pattern and the effect of gaps on regeneration is important to current and future forest management. The aim of this study was to determine the size, shape and the spatial pattern of tree-fall gaps and of associated regeneration. This study was carried out in three parcels (No.15,...