Literature DB >> 17148115

Community response to enrichment is highly sensitive to model structure.

Gregor F Fussmann1, Bernd Blasius.   

Abstract

Biologists use mathematical functions to model, understand and predict nature. For most biological processes, however, the exact analytical form is not known. This is also true for one of the most basic life processes: the uptake of food or resources. We show that the use of several nearly indistinguishable functions, which can serve as phenomenological descriptors of resource uptake, may lead to alarmingly different dynamical behaviour in a simple community model. More specifically, we demonstrate that the degree of resource enrichment needed to destabilize the community dynamics depends critically on the mathematical nature of the uptake function.

Mesh:

Year:  2005        PMID: 17148115      PMCID: PMC1629049          DOI: 10.1098/rsbl.2004.0246

Source DB:  PubMed          Journal:  Biol Lett        ISSN: 1744-9561            Impact factor:   3.703


  6 in total

1.  Central assumptions of predator-prey models fail in a semi-natural experimental system.

Authors:  Christel M M Mols; Kees van Oers; Leontien M A Witjes; Catherine M Lessells; Piet J Drent; Marcel E Visser
Journal:  Proc Biol Sci       Date:  2004-02-07       Impact factor: 5.349

2.  Enrichment and foodchain stability: the impact of different forms of predator-prey interaction.

Authors:  Thilo Gross; Wolfgang Ebenhöh; Ulrike Feudel
Journal:  J Theor Biol       Date:  2004-04-07       Impact factor: 2.691

3.  Effects of enrichment on simple aquatic food webs.

Authors:  A Persson; L A Hansson; C Brönmark; P Lundberg; L B Pettersson; L Greenberg; P A Nilsson; P Nyström; P Romare; L Tranvik
Journal:  Am Nat       Date:  2001-06       Impact factor: 3.926

4.  Limit cycles in predator-prey communities.

Authors:  R M May
Journal:  Science       Date:  1972-09-08       Impact factor: 47.728

5.  Enriched predator-prey systems: theoretical stability.

Authors:  M E Gilpin; M L Rosenzweig
Journal:  Science       Date:  1972-09-08       Impact factor: 47.728

6.  Paradox of enrichment: destabilization of exploitation ecosystems in ecological time.

Authors:  M L Rosenzweig
Journal:  Science       Date:  1971-01-29       Impact factor: 47.728

  6 in total
  12 in total

1.  How far details are important in ecosystem modelling: the case of multi-limiting nutrients in phytoplankton-zooplankton interactions.

Authors:  J-C Poggiale; M Baklouti; B Queguiner; S A L M Kooijman
Journal:  Philos Trans R Soc Lond B Biol Sci       Date:  2010-11-12       Impact factor: 6.237

2.  Remembering John Steele and his models for understanding the structure and function of marine ecosystems.

Authors:  Thomas R Anderson; Wendy C Gentleman
Journal:  J Plankton Res       Date:  2019-10-03       Impact factor: 2.455

Review 3.  The stability of ecosystems: a brief overview of the paradox of enrichment.

Authors:  Shovonlal Roy; J Chattopadhyay
Journal:  J Biosci       Date:  2007-03       Impact factor: 1.826

4.  Community dynamics and sensitivity to model structure: towards a probabilistic view of process-based model predictions.

Authors:  Clement Aldebert; Daniel B Stouffer
Journal:  J R Soc Interface       Date:  2018-12-05       Impact factor: 4.118

5.  Quantifying uncertainty in partially specified biological models: how can optimal control theory help us?

Authors:  M W Adamson; A Y Morozov; O A Kuzenkov
Journal:  Proc Math Phys Eng Sci       Date:  2016-09       Impact factor: 2.704

6.  Towards a simplification of models using regression trees.

Authors:  Y Eynaud; D Nerini; M Baklouti; J-C Poggiale
Journal:  J R Soc Interface       Date:  2013-02       Impact factor: 4.118

7.  Defining and detecting structural sensitivity in biological models: developing a new framework.

Authors:  M W Adamson; A Yu Morozov
Journal:  J Math Biol       Date:  2014-01-22       Impact factor: 2.259

8.  Sensitivity of the dynamics of the general Rosenzweig-MacArthur model to the mathematical form of the functional response: a bifurcation theory approach.

Authors:  Gunog Seo; Gail S K Wolkowicz
Journal:  J Math Biol       Date:  2018-01-06       Impact factor: 2.259

9.  Comparison of the functional responses of invasive and native amphipods.

Authors:  Loic Bollache; Jaimie T A Dick; Keith D Farnsworth; W Ian Montgomery
Journal:  Biol Lett       Date:  2008-04-23       Impact factor: 3.703

10.  On the sensitivity of plankton ecosystem models to the formulation of zooplankton grazing.

Authors:  Fanny Chenillat; Pascal Rivière; Mark D Ohman
Journal:  PLoS One       Date:  2021-05-25       Impact factor: 3.240

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