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Imbalance and balancing: Development of ecological flow networks
Authors:Taichi Haruna  Yukio-Pegio Gunji
Affiliation:1. Institute of Stochastics, Ulm University, Germany;2. Institute of Solids Process Engineering and Particle Technology, Hamburg University of Technology, Germany;3. Chair of Particle Process Engineering, University of Kaiserslautern, Germany;1. Department of Physics, Faculty of Science, Universiti Teknologi Malaysia, UTM Skudai, 81310 Johor, Malaysia;2. Department of Physics, Govt. Post Graduate Jehanzeb College Saidu Sharif, Swat, 19200, Pakistan;3. Department of Physics and Electrical Engineering, Faculty of Engineering & Environment, University of Northumbria, Newcastle upon Tyne, NE1 8ST, UK;1. Department of Allergy and Clinical Immunology, National Research Institute for Child Health and Development, Tokyo, Japan;2. Waseda Institute for Advanced Study, Waseda University, Tokyo, Japan;1. Department of Anaesthesia and Intensive Care, Centre Hospitalier, Luxembourg, Luxembourg;2. Division of Cardiology, Centre Hospitalier, Luxembourg, Luxembourg;3. Laboratory of Cardiovascular Research, Public Research Centre for Health, Luxembourg, Luxembourg;4. Laboratory of Biochemistry, Centre Hospitalier, Luxembourg, Luxembourg
Abstract:In this paper we address balancing process of ecological flow networks. In existing approaches, macroscopic objectives to which systems organize are assumed. Flow balance provides only constraints for the optimization. Since flow balance and objectives are separated from each other, it is impossible to address how the appearance of objectives is related to flow balance. Therefore, we take an alternative approach, in which we directly describe a dynamics of balancing process. We propose a simple mathematical formula for local balancing dynamics and show that it can generate a self-organizing property, which could be seen as a primitive objective.
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