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Application of algebra and coalgebra in scientific modelling: Illustrated with the Logistic Map

Title data

Hauhs, Michael ; Trancón y Widemann, Baltasar:
Application of algebra and coalgebra in scientific modelling: Illustrated with the Logistic Map.
In: Electronic Notes in Theoretical Computer Science. Vol. 264 (2010) Issue 2 . - pp. 105-123.
ISSN 1571-0661
DOI: https://doi.org/10.1016/j.entcs.2010.07.016

Abstract in another language

In computer science, the algebra–coalgebra duality serves as a formal framework for connecting the perspectives of state-based and behavior-based models. In other sciences such as ecology, these perspectives are seemingly harder to reconcile. We explore modelling paradigms, in the sense of philosophy of science, as an intermediate step in translating the (co)algebraic framework from computer science into applications in ecology. We illustrate the application potential of this approach with a simple model from theoretical ecology: the logistic map. Several versions of algebraic models with progressively more sophisticated carriers and operations are introduced and finally contrasted with a corresponding coalgebraic model. We illustrate two modelling paradigms with these examples. Only one of these has traditionally been used in ecology. The second one, which is based on a coalgebraic dualisation, offers new modelling perspectives in ecology and environmental science.Keywords: algebra; coalgebra; state; behavior; model; paradigm; scientific method; dynamic system; ecology; logistic map

Further data

Item Type: Article in a journal
Refereed: Yes
Additional notes: BAYCEER77971
Institutions of the University: Faculties > Faculty of Biology, Chemistry and Earth Sciences > Department of Earth Sciences > Chair Ecological Modelling
Faculties > Faculty of Biology, Chemistry and Earth Sciences > Department of Earth Sciences > Chair Ecological Modelling > Chair Ecological Modelling - Univ.-Prof. Dr. Michael Hauhs
Research Institutions > Research Centres > Bayreuth Center of Ecology and Environmental Research- BayCEER
Faculties
Faculties > Faculty of Biology, Chemistry and Earth Sciences
Faculties > Faculty of Biology, Chemistry and Earth Sciences > Department of Earth Sciences
Research Institutions
Research Institutions > Research Centres
Result of work at the UBT: Yes
DDC Subjects: 500 Science
Date Deposited: 06 Jul 2015 10:25
Last Modified: 06 Jul 2015 10:25
URI: https://eref.uni-bayreuth.de/id/eprint/15871