Detecting tipping points in ecological models with sensitivity analysis

G.A. ten Broeke, G.A.K. van Voorn, B.W. Kooi, J. Molenaar

Research output: Contribution to JournalArticleAcademicpeer-review

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 possibleecological effects. Sensitivity analysis is a key tool in the study of model responses to change s 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.
Original languageEnglish
Pages (from-to)47-72
JournalMathematical Modelling of Natural Phenomena
Volume11
Issue number4
DOIs
Publication statusPublished - 2016

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Ecological Model
Sensitivity analysis
Sensitivity Analysis
Simulation Model
Bifurcation Analysis
Methodology
Deterministic Model
Model
Dynamic Model
Bifurcation (mathematics)
Statistics
Predict
Dynamic models

Cite this

ten Broeke, G.A. ; van Voorn, G.A.K. ; Kooi, B.W. ; Molenaar, J. / Detecting tipping points in ecological models with sensitivity analysis. In: Mathematical Modelling of Natural Phenomena. 2016 ; Vol. 11, No. 4. pp. 47-72.
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abstract = "Simulation models are commonly used to understand and predict the developmentof ecological systems, for instance to study the occurrence of tipping points and their possibleecological effects. Sensitivity analysis is a key tool in the study of model responses to change s 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 bestrevealed 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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Detecting tipping points in ecological models with sensitivity analysis. / ten Broeke, G.A.; van Voorn, G.A.K.; Kooi, B.W.; Molenaar, J.

In: Mathematical Modelling of Natural Phenomena, Vol. 11, No. 4, 2016, p. 47-72.

Research output: Contribution to JournalArticleAcademicpeer-review

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