Self-organisation in spatial systems - From fractal chaos to regular patterns and vice versa
Banaszak M.1, Dziecielski M.1,2, Nijkamp P.2,3, Ratajczak W.2
- 1Faculty of Physics, A. Mickiewicz University, ul. Umultowska 85, Poznan, Poland
- 2Faculty of Geography and Earth Sciences, A. Mickiewicz University, ul. Dziegielowa 27, Poznan, Poland
- 3Faculty of Economics and Business Administration, VU University, De Boelelaan 1105, Amsterdam, Netherlands
PLoS ONE, 10 (9), e0136248, 2015
DOI:: 10.1371/journal.pone.0136248
Abstract:
This study offers a new perspective on the evolutionary patterns of cities or urban agglomerations. Such developments can range from chaotic to fully ordered. We demonstrate that in a dynamic space of interactive human behaviour cities produce a wealth of gravitational attractors whose size and shape depend on the resistance of space emerging inter alia from transport friction costs. This finding offers original insights into the complex evolution of spatial systems and appears to be consistent with the principles of central place theory known from the spatial sciences and geography. Our approach is dynamic in nature and forms a generalisation of hierarchical principles in geographic space. © 2015 Banaszak et al.
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