Robustness analysis: Deconstructing computational models for ecological theory and applications

The design of computational models is path-dependent: the choices made in each step during model development constrain the choices that are available in the subsequent steps. The actual path of model development can be extremely different, even for the same system, because the path depends on the question addressed, the availability of data, and the consideration of specific expert knowledge, in addition to the experience, background, and modelling preferences of the modellers. Thus, insights from different models are practically impossible to integrate, which hinders the development of general theory. We therefore suggest augmenting the current culture of communicating models as working just fine with a culture of presenting analyses in which we try to break models, i.e., model mechanisms explaining certain observations break down. We refer to the systematic attempts to break a model as “robustness analysis” (RA). RA is the systematic deconstruction of a model by forcefully changing the model's parameters, structure, and representation of processes. We discuss the nature and elements of RA and provide brief examples. RA cannot be completely formalized into specific techniques and instead corresponds to detective work that is driven by general questions and specific hypotheses, with strong attention focused on unusual behaviours. Both individual modellers and ecological modelling in general will benefit from RA because RA helps with understanding models and identifying “robust theories”, which are general principles that are independent of the idiosyncrasies of specific models. Integrating the results of RAs from different models to address certain systems or questions will then provide a comprehensive overview of when certain mechanisms control system behaviour and when and why this control ceases. This approach can provide insights into the mechanisms that lead to regime shifts in actual ecological systems.

[1]  Uta Berger,et al.  Making Predictions in a Changing World: The Benefits of Individual-Based Ecology , 2014, Bioscience.

[2]  Erwin Zehe,et al.  Effects of climate change on the coupled dynamics of water and vegetation in drylands , 2009 .

[3]  Kirk A. Moloney,et al.  Modelling the impact of small‐scale heterogeneities on tree—grass coexistence in semi‐arid savannas , 1998 .

[4]  Denis Mollison,et al.  Modelling biological invasions: chance, explanation, prediction , 1986 .

[5]  Steven F Railsback,et al.  Pattern-oriented modelling: a ‘multi-scope’ for predictive systems ecology , 2012, Philosophical Transactions of the Royal Society B: Biological Sciences.

[6]  Florian Jeltsch,et al.  Tree Spacing and Coexistence in Semiarid Savannas , 1996 .

[7]  Winfried Kurth,et al.  Facilitating Parameter Estimation and Sensitivity Analysis of Agent-Based Models: A Cookbook Using NetLogo and 'R' , 2014, J. Artif. Soc. Soc. Simul..

[8]  Christian Wissel,et al.  Reconstructing spatiotemporal dynamics of Central European natural beech forests: the rule-based forest model BEFORE , 2004 .

[9]  K. Reisman,et al.  The Robust Volterra Principle* , 2008, Philosophy of Science.

[10]  R. Nisbet,et al.  POPULATION DYNAMICS AND SPATIAL SCALE: EFFECTS OF SYSTEM SIZE ON POPULATION PERSISTENCE , 1999 .

[11]  Thomas C. Schelling,et al.  Dynamic models of segregation , 1971 .

[12]  Saltelli Andrea,et al.  Global Sensitivity Analysis: The Primer , 2008 .

[13]  Steven F. Railsback,et al.  ANALYSIS OF HABITAT‐SELECTION RULES USING ANINDIVIDUAL‐BASED MODEL , 2002 .

[14]  Dirk Eisinger,et al.  Spatial pattern formation facilitates eradication of infectious diseases , 2008, The Journal of applied ecology.

[15]  Maureen A. O’Malley,et al.  Do simple models lead to generality in ecology? , 2013, Trends in ecology & evolution.

[16]  Matthias Meyer,et al.  Opening the ‘black box’ of simulations: increased transparency and effective communication through the systematic design of experiments , 2011, Computational and Mathematical Organization Theory.

[17]  V. Grimm,et al.  Proposing an information criterion for individual-based models developed in a pattern-oriented modelling framework , 2009 .

[18]  J. Calabrese,et al.  Bridging the Gap Between Computational Models and Viability Based Resilience in Savanna Ecosystems , 2011 .

[19]  C. Wissel,et al.  Pattern formation triggered by rare events: lessons from the spread of rabies , 1997, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[20]  Steven F. Railsback,et al.  Pattern-oriented modeling of bird foraging and pest control in coffee farms , 2011 .

[21]  Volker Grimm,et al.  Unifying Wildfire Models from Ecology and Statistical Physics , 2009, The American Naturalist.

[22]  Elliott Sober,et al.  A Critical Assessment of Levins's The Strategy of Model Building in Population Biology (1966) , 1993, The Quarterly Review of Biology.

[23]  Steven F. Railsback,et al.  GETTING “RESULTS”: THE PATTERN‐ORIENTED APPROACH TO ANALYZING NATURAL SYSTEMS WITH INDIVIDUAL‐BASED MODELS , 2001 .

[24]  Steven F. Railsback,et al.  InSTREAM-Gen: Modelling eco-evolutionary dynamics of trout populations under anthropogenic environmental change , 2016 .

[25]  R. Levins The strategy of model building in population biology , 1966 .

[26]  K. Wiegand,et al.  A patch-dynamics approach to savanna dynamics and woody plant encroachment – Insights from an arid savanna , 2006 .

[27]  Steven F. Railsback,et al.  Agent-Based and Individual-Based Modeling: A Practical Introduction , 2011 .

[28]  Roger Jovani,et al.  Breeding synchrony in colonial birds: from local stress to global harmony , 2008, Proceedings of the Royal Society B: Biological Sciences.

[29]  S. Higgins,et al.  Atmospheric CO2 forces abrupt vegetation shifts locally, but not globally , 2012, Nature.

[30]  Michael Weisberg,et al.  Biology and Philosophy symposium on Simulation and Similarity: Using Models to Understand the World , 2013 .

[31]  Volker Grimm,et al.  Replicating and breaking models: good for you and good for ecology , 2015 .

[32]  Uta Berger,et al.  Pattern-Oriented Modeling of Agent-Based Complex Systems: Lessons from Ecology , 2005, Science.

[33]  Volker Grimm,et al.  Merging validation and evaluation of ecological models to ‘evaludation’: A review of terminology and a practical approach , 2014 .

[34]  V. Grimm Ten years of individual-based modelling in ecology: what have we learned and what could we learn in the future? , 1999 .

[35]  Christian Wissel,et al.  Modelling persistence in dynamic landscapes : lessons from a metapopulation of the grasshopper Bryodema tuberculata , 1997 .

[36]  F. Vázquez,et al.  The Independent and Interactive Effects of Tree‐Tree Establishment Competition and Fire on Savanna Structure and Dynamics , 2010, The American Naturalist.