Nonlinear Dynamics, Psychology, and Life Sciences, Vol. 28, Iss. 2, Apr, 2024, pp. 231-260
@2024 Society for Chaos Theory in Psychology & Life Sciences

 
Complexity in Environment and Space - Sensitivity on Model Specification

Pasquale Commendatore, University of Naples 'Federico II', Naples, Italy
Ingrid Kubin, Vienna University of Economics and Business Administration, Vienna, Austria
Iryna Sushko, NASU Institute of Mathematics, Kyiv, Ukraine

Abstract: In this paper, we study the complex interaction between environmental damage and location in space of firms and entrepreneurial households. We use a New Economic Geography (NEG) framework, suitably extended to account for environmental damage and the two mobility processes. The resulting model is a two-dimensional piecewise smooth map with two constraints for each variable, and we use analytic and numerical tools to explore its long-run dynamics. We pay special attention to the different types of fixed points and the structure of the respective basins of attraction. Their complexity re-enforces a core theme of the NEG: History matters for the long run location in space of economic activity.

Keywords: new economic geography, environmental pollution, industry location, residence choice, bifurcation analysis, complex dynamics