Staff Publications

Staff Publications

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    'Staff publications' is the digital repository of Wageningen University & Research

    'Staff publications' contains references to publications authored by Wageningen University staff from 1976 onward.

    Publications authored by the staff of the Research Institutes are available from 1995 onwards.

    Full text documents are added when available. The database is updated daily and currently holds about 240,000 items, of which 72,000 in open access.

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Record number 506818
Title Detecting Tipping points in Ecological Models with Sensitivity Analysis
Author(s) Broeke, G.A. ten; Voorn, G.A.K. van; Kooi, B.W.; Molenaar, Jaap
Source Mathematical Modelling of Natural Phenomena 11 (2016)4. - ISSN 0973-5348 - p. 47 - 72.
DOI http://dx.doi.org/10.1051/mmnp/201611405
Department(s) Biometris (WU MAT)
Biometris (PPO/PRI)
PE&RC
Publication type Refereed Article in a scientific journal
Publication year 2016
Keyword(s) Allee effect - Bifurcation analysis - Sampling method - Sensitivity analysis - Tipping point
Abstract

Simulation models are commonly used to understand and predict the development of ecological systems, for instance to study the occurrence of tipping points and their possible ecological effects. Sensitivity analysis is a key tool in the study of model responses to changes in conditions. The applicability of available methodologies for sensitivity analysis can be problematic if tipping points are involved. In this paper we demonstrate that not considering these tipping points may result in misleading statistics on model behaviour. In turn, this limits the applicability of simulation models in ecological research. Tipping points are best revealed when asymptotic model behaviour is considered, i.e. by applying bifurcation analysis. Bifurcation analysis, however, is limited to deterministic dynamic models, whereas many ecological simulation models are nondeterministic and can only be analysed using sensitivity analysis methodologies. In this paper we explore the possibilities for applying methodologies of sensitivity analysis to analyse models with tipping points. The Bazykin-Berezovskaya model, a deterministic ecological model of which the structure regarding tipping points is known a priori, is used as case study. We conclude that important clues about the occurrence of tippings points can be revealed from different sensitivity analysis methodologies, if proper statistical and graphical measures are used. The results raise awareness about how tipping points affect temporal model responses in ecological simulation models, and may also be more generally applicable for nondeterministic models that cannot be analysed using bifurcation analysis.

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