Using Multicriteria Analysis of Simulation Models to Understand Complex Biological Systems

Scientists frequently use computer-simulation models to help solve complex biological problems. Typically, such models are highly integrated, they produce multiple outputs, and standard methods of model analysis are ill suited for evaluating them. We show how multicriteria optimization with Pareto optimality allows for model outputs to be compared to multiple system components simultaneously and improves three areas in which models are used for biological problems. In the study of optimal biological structures, Pareto optimality allows for the identification of multiple solutions possible for organism survival and reproduction, which thereby explains variability in optimal behavior. For model assessment, multicriteria optimization helps to illuminate and describe model deficiencies and uncertainties in model structure. In environmental management and decisionmaking, Pareto optimality enables a description of the trade-offs among multiple conflicting criteria considered in environmental management, which facilitates better-informed decisionmaking.

[1]  O. Schmitz,et al.  Foraging to balance conflicting demands: novel insights from grasshoppers under predation risk , 1997 .

[2]  N Oreskes,et al.  Verification, Validation, and Confirmation of Numerical Models in the Earth Sciences , 1994, Science.

[3]  Demetris Koutsoyiannis,et al.  One decade of multi-objective calibration approaches in hydrological modelling: a review , 2010 .

[4]  George M. Hornberger,et al.  Selection of parameter values in environmental models using sparse data: A case study , 1985 .

[5]  H. Honda,et al.  Tree Branch Angle: Maximizing Effective Leaf Area , 1978, Science.

[6]  Christian P. Robert,et al.  The Bayesian choice : from decision-theoretic foundations to computational implementation , 2007 .

[7]  M. G. Ryan,et al.  Hydraulic Limits to Tree Height and Tree Growth , 1997 .

[8]  K. Niklas,et al.  Theories of optimization, form and function in branching architecture in plants , 1995 .

[9]  G. Hornberger,et al.  Approach to the preliminary analysis of environmental systems , 1981 .

[10]  Silvia Secchi,et al.  Least-cost control of agricultural nutrient contributions to the Gulf of Mexico hypoxic zone. , 2010, Ecological applications : a publication of the Ecological Society of America.

[11]  Tim Appenzeller,et al.  Beyond Reductionism , 1999, Science.

[12]  Maureen C. Kennedy,et al.  Using a stochastic model and cross-scale analysis to evaluate controls on historical low-severity fire regimes , 2010, Landscape Ecology.

[13]  Keith Beven,et al.  The future of distributed models: model calibration and uncertainty prediction. , 1992 .

[14]  John Sessions,et al.  Forest Road Erosion Control Using Multiobjective Optimization 1 , 2010 .

[15]  C. C. Waid,et al.  An Experimental Comparison of Different Approaches to Determining Weights in Additive Utility Models , 1982 .

[16]  O. Schmitz,et al.  Reconciling variability and optimal behaviour using multiple criteria in optimization models , 2004, Evolutionary Ecology.

[17]  The Biologist's Toolbox , 2007 .

[18]  Robert G. Haight,et al.  Reserve selection with minimum contiguous area restrictions: An application to open space protection planning in suburban Chicago , 2009 .

[19]  Kalyanmoy Deb,et al.  Multi-objective optimization using evolutionary algorithms , 2001, Wiley-Interscience series in systems and optimization.

[20]  E. David Ford,et al.  MULTI-CRITERIA ASSESSMENT OF ECOLOGICAL PROCESS MODELS , 1999 .

[21]  J. M. Smith,et al.  Optimization Theory in Evolution , 1978 .

[22]  Eric F. Wood,et al.  Model Calibration Based on Random Environmental Fluctuations , 1988 .

[23]  Sandra D. Mitchell Unsimple Truths: Science, Complexity, and Policy , 2009 .

[24]  Maureen C. Kennedy,et al.  Simulating fuel treatment effects in dry forests of the western United States: testing the principles of a fire-safe forest , 2011 .

[25]  Leslie A. Real,et al.  Monte Carlo assessments of goodness-of-fit for ecological simulation models , 2003 .

[26]  J. M. Smith,et al.  Optimality theory in evolutionary biology , 1990, Nature.

[27]  Etienne Leblois,et al.  Multi-objective regional modelling , 2006 .

[28]  E. David Ford,et al.  Informed multi-objective decision-making in environmental management using Pareto optimality , 2007 .

[29]  S. Gould,et al.  The spandrels of San Marco and the Panglossian paradigm: a critique of the adaptationist programme , 1979, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[30]  E. David Ford,et al.  Definition and calculation of uncertainty in ecological process models , 2009 .

[31]  Soroosh Sorooshian,et al.  Multi-objective global optimization for hydrologic models , 1998 .

[32]  A. Hastings Timescales, dynamics, and ecological understanding1 , 2010 .

[33]  K. M. Hyde,et al.  A distance-based uncertainty analysis approach to multi-criteria decision analysis for water resource decision making. , 2005, Journal of environmental management.

[34]  Willem Bouten,et al.  Pareto front analysis of flight time and energy use in long-distance bird migration , 2007 .

[35]  M. C. Kennedy,et al.  Defining how aging Pseudotsuga and Abies compensate for multiple stresses through multi-criteria assessment of a functional-structural model. , 2010, Tree physiology.

[36]  E. Hunt,et al.  Factors controlling the decline of net primary production with stand age for balsam fir in Newfoundland assessed using an ecosystem simulation model , 1999 .

[37]  Ki-Joo Kim,et al.  Systematic procedure for designing processes with multiple environmental objectives. , 2005, Environmental science & technology.

[38]  H. Honda,et al.  Ratio of tree branch lengths: The equitable distribution of leaf clusters on branches. , 1979, Proceedings of the National Academy of Sciences of the United States of America.

[39]  M. C. Kennedy,et al.  Two-criteria model assessment shows that foliage maintenance in old-growth Pseudotsuga menziesii requires both delayed and sequential reiteration , 2009, Trees.

[40]  H. Safford,et al.  Effects of fuel treatments on fire severity in an area of wildland-urban interface, Angora Fire, Lake Tahoe Basin, California , 2009 .

[41]  Renato Cirillo The Economics of Vilfredo Pareto , 1978 .

[42]  E. David Ford,et al.  The use of multi-criteria assessment in developing a process model , 2006 .