On choosing the resolution of normative models

Abstract Long time horizon normative models are frequently used for policy analysis, strategic planning, and system analysis. Choosing the granularity of the temporal or spatial resolution of such models is an important modeling decision, often having a first order impact on model results. This type of decision is frequently made by modeler judgment, particularly when the predictive power of alternative choices cannot be tested. In this paper, we show how the implicit tradeoffs modelers make in these formulation decisions, in particular in the tradeoff between the accuracy of representation enabled by the available data and model parsimony, may be addressed with established information theoretic ideas. The paper provides guidance for modelers making these tradeoffs or, in certain cases, enables explicit tests for assessing appropriate levels of resolution. We will mainly focus on optimization based normative models in the discussion here, and draw our examples from the energy and climate domain.

[1]  Paul H. Zipkin,et al.  Bounds for Row-Aggregation in Linear Programming , 1980, Oper. Res..

[2]  Bernard P. Zeigler,et al.  Multifacetted Modelling and Discrete Event Simulation , 1984 .

[3]  David Laibson,et al.  The Seven Properties of Good Models , 2008 .

[4]  Ch. Schneeweiss On a formalisation of the process of quantitative model building , 1987 .

[5]  Naftali Tishby,et al.  Agglomerative Information Bottleneck , 1999, NIPS.

[6]  Ronald A. Howard,et al.  The Foundations of Decision Analysis , 1968, IEEE Trans. Syst. Sci. Cybern..

[7]  Yinyu Ye,et al.  Assessing the System Value of Optimal Load Shifting , 2018, IEEE Transactions on Smart Grid.

[8]  Paul H. Zipkin,et al.  Bounds on the Effect of Aggregating Variables in Linear Programs , 1980, Oper. Res..

[9]  Delavane B. Diaz,et al.  Estimating global damages from sea level rise with the Coastal Impact and Adaptation Model (CIAM) , 2015, Climatic Change.

[10]  Naftali Tishby,et al.  The information bottleneck method , 2000, ArXiv.

[11]  William D. Nordhaus,et al.  Warming the World: Economic Models of Global Warming , 2000 .

[12]  Maurice Landry,et al.  Revisiting the issue of model validation in OR: An epistemological view , 1993 .

[13]  Herbert A. Simon,et al.  The Sciences of the Artificial , 1970 .

[14]  Peter Schwartz,et al.  The Art of the Long View: Planning for the Future in an Uncertain World , 1996 .

[15]  James Merrick On representation of temporal variability in electricity capacity planning models , 2016 .

[16]  Graciela Chichilnisky,et al.  Catastrophe or new society? : a Latin American world model , 1976 .

[17]  R. Lempert,et al.  Shaping the Next One Hundred Years: New Methods for Quantitative Long-Term Policy Analysis , 2003 .

[18]  I. Schumacher THE AGGREGATION DILEMMA IN CLIMATE CHANGE POLICY EVALUATION , 2018, Climate Change Economics.

[19]  Sonia Yeh,et al.  Formalizing best practice for energy system optimization modelling , 2017 .

[20]  Frederic H. Murphy,et al.  ASP, The Art and Science of Practice: Elements of a Theory of the Practice of Operations Research: A Framework , 2005, Interfaces.

[21]  Muhittin Oral,et al.  In search of a valid view of model validation for operations research , 1993 .

[22]  Max Henrion,et al.  Uncertainty: A Guide to Dealing with Uncertainty in Quantitative Risk and Policy Analysis , 1990 .

[23]  Joseph H. A. Guillaume,et al.  Integrated assessment and modelling: Overview and synthesis of salient dimensions , 2015, Environ. Model. Softw..

[24]  Adam Hawkes,et al.  Energy systems modeling for twenty-first century energy challenges , 2014 .

[25]  Anthony J. Jakeman,et al.  Ten iterative steps in development and evaluation of environmental models , 2006, Environ. Model. Softw..

[26]  Arthur M. Geoffrion,et al.  The Purpose of Mathematical Programming is Insight, Not Numbers , 1976 .

[27]  A. Hughes A Rose by Any Other Name... , 1979 .

[28]  Gerd Gigerenzer,et al.  Homo Heuristicus: Why Biased Minds Make Better Inferences , 2009, Top. Cogn. Sci..

[29]  Costas Arkolakis,et al.  New Trade Models, Same Old Gains? , 2009 .

[30]  Naftali Tishby,et al.  Deep learning and the information bottleneck principle , 2015, 2015 IEEE Information Theory Workshop (ITW).

[31]  R. Nicholls,et al.  A New Global Coastal Database for Impact and Vulnerability Analysis to Sea-Level Rise , 2008 .

[32]  Raimo P. Hämäläinen,et al.  On the importance of behavioral operational research: The case of understanding and communicating about dynamic systems , 2013, Eur. J. Oper. Res..

[33]  Robert G. Sargent,et al.  Verification and validation of simulation models , 2013, Proceedings of Winter Simulation Conference.

[34]  M. Volkenstein,et al.  Entropy and Information , 2009 .

[35]  John P. Weyant,et al.  Approaches for performing uncertainty analysis in large-scale energy/economic policy models , 2000 .

[36]  Jochen Hinkel,et al.  Integrating knowledge to assess coastal vulnerability to sea-level rise : the development of the DIVA tool , 2009 .

[37]  Michael Pidd,et al.  Just Modeling Through: A Rough Guide to Modeling , 1999, Interfaces.

[38]  Abraham Silberschatz,et al.  What Makes Patterns Interesting in Knowledge Discovery Systems , 1996, IEEE Trans. Knowl. Data Eng..

[39]  James Merrick,et al.  Simulating Annual Variation in Load, Wind, and Solar by Representative Hour Selection , 2018, The Energy Journal.

[40]  J. Weyant Some Contributions of Integrated Assessment Models of Global Climate Change , 2017, Review of Environmental Economics and Policy.

[41]  David G. Luenberger,et al.  Information Science , 2006 .

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

[43]  Thomas R. Willemain,et al.  Model Formulation: What Experts Think About and When , 1995, Oper. Res..

[44]  D. Lund,et al.  Taxation and Investment Decisions in Petroleum , 2018, The Energy Journal.

[45]  Raj Chetty,et al.  Sufficient Statistics for Welfare Analysis : A Bridge Between Structural and Reduced-Form Methods , 2009 .

[46]  Kenichi Wada,et al.  The role of renewable energy in climate stabilization: results from the EMF27 scenarios , 2014, Climatic Change.

[47]  Stefano Soatto,et al.  Emergence of Invariance and Disentanglement in Deep Representations , 2017, 2018 Information Theory and Applications Workshop (ITA).

[48]  Ohad Shamir,et al.  Learning and generalization with the information bottleneck , 2008, Theoretical Computer Science.

[49]  Peter W. Glynn,et al.  Likelihood robust optimization for data-driven problems , 2013, Computational Management Science.

[50]  James R. Evans,et al.  Aggregation and Disaggregation Techniques and Methodology in Optimization , 1991, Oper. Res..