Reaction-diffusion Model Describing the Morphogenesis of Urban Systems in the US

John Friesen, Ruben Tessmann, Peter Pelz

Abstract

Urbanization is currently one of the greatest challenges facing mankind. In order to be able to anticipate the rapid changes in urban structures, models are in need, mapping the morphological development of these structures. In this paper we present an urban development model that is based on reaction diffusion equations and can be interpreted sociologically. We apply this model to the urban development of US-American cities and show that this very simple model can already map basic characteristics of urban development.

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Paper Citation


in Harvard Style

Friesen J., Tessmann R. and Pelz P. (2019). Reaction-diffusion Model Describing the Morphogenesis of Urban Systems in the US.In Proceedings of the 5th International Conference on Geographical Information Systems Theory, Applications and Management - Volume 1: GISTAM, ISBN 978-989-758-371-1, pages 88-96. DOI: 10.5220/0007711300880096


in Bibtex Style

@conference{gistam19,
author={John Friesen and Ruben Tessmann and Peter Pelz},
title={Reaction-diffusion Model Describing the Morphogenesis of Urban Systems in the US},
booktitle={Proceedings of the 5th International Conference on Geographical Information Systems Theory, Applications and Management - Volume 1: GISTAM,},
year={2019},
pages={88-96},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0007711300880096},
isbn={978-989-758-371-1},
}


in EndNote Style

TY - CONF

JO - Proceedings of the 5th International Conference on Geographical Information Systems Theory, Applications and Management - Volume 1: GISTAM,
TI - Reaction-diffusion Model Describing the Morphogenesis of Urban Systems in the US
SN - 978-989-758-371-1
AU - Friesen J.
AU - Tessmann R.
AU - Pelz P.
PY - 2019
SP - 88
EP - 96
DO - 10.5220/0007711300880096