Combining bifurcation and sensitivity analysis for ecological models: Model analysis, and the allegory of the cave

GAK van Voorn, B.W. Kooi

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

Plato’s well-known allegory of the cave describes an observer
chained in a cave facing a blank wall on which shadows are projected of
objects that are outside the cave. Only by breaking free from the chains
can the observer submerge from the cave to see what the objects really
look like. Ecological model features compare to the objects outside
the cave in this allegory. By performing model analysis light is shed
on these features, creating projections that researchers can see. Model
analysis methodologies like bifurcation analysis and sensitivity analysis
each focus on particular model features and thus allow researchers to
uncover only part of the model behaviour. By combining methodologies
for model analysis possibilities arise for unravelling more of the model’s
behaviour, allowing researchers to ‘break free’. In this paper benefits
and issues of combining model analysis methodologies are discussed
using a case study. The case study involves three representations of
the well-known Rosenzweig-MacArthur predator-prey model, namely
the usual one where state variables and parameters have dimensions, a
dimensionless representation, and a generalized representation. Based
on the results we argue that researchers should combine bifurcation and
sensitivity analysis methodologies when analyzing ecological models.
Original languageEnglish
Pages (from-to)2101-2118
JournalEuropean Physical Journal. Special Topics
Volume226
DOIs
Publication statusPublished - 2017

Fingerprint

caves
Caves
Bifurcation (mathematics)
sensitivity analysis
Sensitivity analysis
methodology
predators
blanks
projection
sensitivity

Cite this

@article{67abd4567ec44470ae0d3bcf0be77113,
title = "Combining bifurcation and sensitivity analysis for ecological models: Model analysis, and the allegory of the cave",
abstract = "Plato’s well-known allegory of the cave describes an observerchained in a cave facing a blank wall on which shadows are projected ofobjects that are outside the cave. Only by breaking free from the chainscan the observer submerge from the cave to see what the objects reallylook like. Ecological model features compare to the objects outsidethe cave in this allegory. By performing model analysis light is shedon these features, creating projections that researchers can see. Modelanalysis methodologies like bifurcation analysis and sensitivity analysiseach focus on particular model features and thus allow researchers touncover only part of the model behaviour. By combining methodologiesfor model analysis possibilities arise for unravelling more of the model’sbehaviour, allowing researchers to ‘break free’. In this paper benefitsand issues of combining model analysis methodologies are discussedusing a case study. The case study involves three representations ofthe well-known Rosenzweig-MacArthur predator-prey model, namelythe usual one where state variables and parameters have dimensions, adimensionless representation, and a generalized representation. Basedon the results we argue that researchers should combine bifurcation andsensitivity analysis methodologies when analyzing ecological models.",
author = "{van Voorn}, GAK and B.W. Kooi",
year = "2017",
doi = "10.1140/epjst/e2017-70030-2",
language = "English",
volume = "226",
pages = "2101--2118",
journal = "European Physical Journal. Special Topics",
issn = "1951-6355",
publisher = "Springer Verlag",

}

Combining bifurcation and sensitivity analysis for ecological models : Model analysis, and the allegory of the cave. / van Voorn, GAK; Kooi, B.W.

In: European Physical Journal. Special Topics, Vol. 226, 2017, p. 2101-2118.

Research output: Contribution to JournalArticleAcademicpeer-review

TY - JOUR

T1 - Combining bifurcation and sensitivity analysis for ecological models

T2 - Model analysis, and the allegory of the cave

AU - van Voorn, GAK

AU - Kooi, B.W.

PY - 2017

Y1 - 2017

N2 - Plato’s well-known allegory of the cave describes an observerchained in a cave facing a blank wall on which shadows are projected ofobjects that are outside the cave. Only by breaking free from the chainscan the observer submerge from the cave to see what the objects reallylook like. Ecological model features compare to the objects outsidethe cave in this allegory. By performing model analysis light is shedon these features, creating projections that researchers can see. Modelanalysis methodologies like bifurcation analysis and sensitivity analysiseach focus on particular model features and thus allow researchers touncover only part of the model behaviour. By combining methodologiesfor model analysis possibilities arise for unravelling more of the model’sbehaviour, allowing researchers to ‘break free’. In this paper benefitsand issues of combining model analysis methodologies are discussedusing a case study. The case study involves three representations ofthe well-known Rosenzweig-MacArthur predator-prey model, namelythe usual one where state variables and parameters have dimensions, adimensionless representation, and a generalized representation. Basedon the results we argue that researchers should combine bifurcation andsensitivity analysis methodologies when analyzing ecological models.

AB - Plato’s well-known allegory of the cave describes an observerchained in a cave facing a blank wall on which shadows are projected ofobjects that are outside the cave. Only by breaking free from the chainscan the observer submerge from the cave to see what the objects reallylook like. Ecological model features compare to the objects outsidethe cave in this allegory. By performing model analysis light is shedon these features, creating projections that researchers can see. Modelanalysis methodologies like bifurcation analysis and sensitivity analysiseach focus on particular model features and thus allow researchers touncover only part of the model behaviour. By combining methodologiesfor model analysis possibilities arise for unravelling more of the model’sbehaviour, allowing researchers to ‘break free’. In this paper benefitsand issues of combining model analysis methodologies are discussedusing a case study. The case study involves three representations ofthe well-known Rosenzweig-MacArthur predator-prey model, namelythe usual one where state variables and parameters have dimensions, adimensionless representation, and a generalized representation. Basedon the results we argue that researchers should combine bifurcation andsensitivity analysis methodologies when analyzing ecological models.

U2 - 10.1140/epjst/e2017-70030-2

DO - 10.1140/epjst/e2017-70030-2

M3 - Article

VL - 226

SP - 2101

EP - 2118

JO - European Physical Journal. Special Topics

JF - European Physical Journal. Special Topics

SN - 1951-6355

ER -