Analysis of trophic networks: an optimisation approach
| Autor: | Valérie Girardin, Jean-Guy Caputo, Quentin Nogues, Arnaud Knippel, Nathalie Niquil, Minh Hieu Nguyen |
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| Rok vydání: | 2021 |
| Předmět: |
Mathematical optimization
Toy model Computer science Applied Mathematics Stability (learning theory) Regular polygon FOS: Physical sciences Fixed point Agricultural and Biological Sciences (miscellaneous) Nonlinear Sciences - Adaptation and Self-Organizing Systems Ecological network Polyhedron Consistency (database systems) Optimization and Control (math.OC) Modeling and Simulation Convex optimization FOS: Mathematics Quantitative Biology::Populations and Evolution Biomass Mathematics - Optimization and Control Adaptation and Self-Organizing Systems (nlin.AO) Ecosystem |
| DOI: | 10.48550/arxiv.2102.02093 |
| Popis: | We introduce a methodology to study the possible matter flows of an ecosystem defined by observational biomass data and realistic biological constraints. The flows belong to a polyhedron in a multi dimensional space that may make statistical exploration difficult in practice; instead, we propose to solve a convex optimization problem. Seven criteria based on ecological network indices have been selected to be used as convex goal functions. Numerical results show that the method is fast and can be used for large systems. Minimum flow solutions are analyzed using flow decomposition in paths and circuits. Their consistency is also tested by introducing a system of differential equations for the biomasses and examining the stability of the biomass fixed point. The method is illustrated and explained throughout the text on an ecosystem toy model. It is also applied to realistic food models. |
| Databáze: | OpenAIRE |
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