Template-Type: ReDIF-Paper 1.0 Series: Tinbergen Institute Discussion Papers Creation-Date: 1998-07-09 Number: 98-072/3 Author-Name: Thomas de Graaff Author-Workplace-Name: Vrije Universiteit Amsterdam Author-Name: Raymond J.G.M. Florax Author-Workplace-Name: Vrije Universiteit Amsterdam Author-Name: Peter Nijkamp Author-Email: pnijkamp@feweb.vu.nl Author-Workplace-Name: Vrije Universiteit Amsterdam Author-Name: Aura Reggiani Author-Workplace-Name: University of Bologna Title: Diagnostic Tools for Nonlinearity in Spatial Models Abstract: There is an increasing awareness of the potential of nonlinear modeling in regional science, which can partly be explained by the recognition of the limitations of conventional equilibrium models in complex situationsand partly by the easy availability and accessibility of sophisticated computational techniques. Among the class of nonlinear models chaos theory stands out as an interesting approach, in which notable progress hasbeen made in economic research. However, the operational significance– in terms of solid empirical tests on chaos – has still been rather limited and a rigorous statistical-econometric treatment of chaos phenomena isstill lacking. This paper is concerned with a methodological and empirical analysis of chaos in spatial systems. It seeks to break new research ground by linking the classical diagnostic tools developed in spatial econometrics to nonlinearity tests for empirical data series, in particular the so-called BDS (Brock, Dechert, Scheinkman) test. A spatial variant of the BDS test is developed, and subsequently applied in the context of a shift-share model for Dutch regional labor markets. Classification-JEL: C12; C14; C45; R12; R23 Keywords: chaos theory; misspecification tests; spatial dependence; nonlinearity; shift-share model; regional labor markets File-Url: https://papers.tinbergen.nl/98072.pdf File-Format: application/pdf File-Size: 235961 bytes Handle: RePEc:tin:wpaper:19980072