Collaboration and competition spatial complex networks in regional science

This paper discusses different spatial complex networks construction models useful in Regional Science, and different associated issues and problems. First, we define two different models of spatial networks: Collaboration (SCN) and Competition (SCtN) network, both based on distances among nodes. We then discuss several problems related to Regional Science in these types of spatial networks, showing alternative cases and possible computational solutions. Evolutionary algorithms are proposed to solve these problems both in SCN and SCtN. The experimental part of the paper is comprehensive, and it discuses several approaches for spatial network modelling and construction by means of different computational experiments and simulations, including the evolution of SCN and SCtN in Regional Science problems.