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Qualitative Scientific Modeling and Loop Analysis

Published online by Cambridge University Press:  01 January 2022

Abstract

Loop analysis is a method of qualitative modeling anticipated by Sewall Wright (1921) and systematically developed by Richard Levins. In Levins’ (1966) distinctions between modeling strategies, loop analysis sacrifices precision for generality and realism. Besides criticizing the clarity of these distinctions, Orzack and Sober (1993) argued qualitative modeling is conceptually and methodologically problematic. Loop analysis of the stability of ecological communities shows this criticism is unjustified. It presupposes an overly narrow view of qualitative modeling and underestimates the broad role models play in scientific research, especially in helping scientists represent and understand complex systems.

Type
Science Models
Copyright
Copyright © The Philosophy of Science Association

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Footnotes

This research was supported by a fellowship from the University of Texas, Austin. Thanks to Carl Salk, Sahotra Sarkar, Elliott Sober, and Michael Weisberg for helpful comments.

References

Arrow, Kenneth J. (1984), Collected Papers, Vol. 3. Cambridge, MA: Harvard University Press.Google Scholar
Arrow, Kenneth J., and Raynaud, Hervé (1986), Social Choice and Multicriterion Decision-Making. Cambridge, MA: MIT Press.Google Scholar
Botkin, Daniel (1977), “Bits, Bytes, and IBP”, Bits, Bytes, and IBP 27: 385.Google Scholar
Brown, James H., and Davidson, Diane (1977), “Competition between Seed-Eating Rodents and Ants in Desert Ecosystems”, Competition between Seed-Eating Rodents and Ants in Desert Ecosystems 196:880882.Google ScholarPubMed
Dambacher, Jeffrey, Luh, Hang-Kwang, Li, Hiram, and Rossignol, Philippe (2003), “Qualitative Stability and Ambiguity in Model Ecosystems”, Qualitative Stability and Ambiguity in Model Ecosystems 161:876888.Google ScholarPubMed
Gantmacher, Felix (1960), Matrix Theory, Vol. 2. New York: Chelsea Publishing Company.Google Scholar
Jeffries, Clark (1974), “Qualitative Stability and Digraphs in Model Ecosystems”, Qualitative Stability and Digraphs in Model Ecosystems 55:14151419.Google Scholar
Levins, Richard (1966), “The Strategy of Model Building in Population Biology”, The Strategy of Model Building in Population Biology 54:421431.Google Scholar
Levins, Richard (1968), Evolution in Changing Environments. Princeton, NJ: Princeton University Press.CrossRefGoogle Scholar
Levins, Richard (1974), “Qualitative Analysis of Partially Specified Systems”, Qualitative Analysis of Partially Specified Systems 231:123138.Google ScholarPubMed
Levins, Richard (1975), “Evolution in Communities near Equilibrium”, in Cody, Martin and Diamond, Jared (eds.), Ecology and Evolution of Communities. Cambridge, MA: Belknap Press, 1651.Google Scholar
Levins, Richard (1993), “A Response to Orzack and Sober: Formal Analysis and the Fluidity of Science”, A Response to Orzack and Sober: Formal Analysis and the Fluidity of Science 68:547555.Google Scholar
Levins, Richard (1998), “Qualitative Mathematics for Understanding, Prediction, and Intervention in Complex Ecosystems”, in Rapport, David, Contanza, Robert, Epstein, Paul, Gaudet, Connie, and Levins, Richard (eds.), Ecosystem Health. Malden, MA: Blackwell Science, 178204.Google Scholar
Logofet, Dmitrii (1993), Matrices and Graphs: Stability Problems in Mathematical Ecology. Ann Arbor, MI: CRC Press.Google Scholar
Lyapunov, Aleksandr ([1892] 1992), The General Problem of the Stability of Motion. London: Taylor and Francis.CrossRefGoogle Scholar
Odenbaugh, Jay (2003), “Complex Systems, Tradeoffs, and Theoretical Population Biology: Richard Levin’s ‘Strategy of Model Building in Population Biology’ Revisited”, Complex Systems, Tradeoffs, and Theoretical Population Biology: Richard Levin’s ‘Strategy of Model Building in Population Biology’ Revisited 70:14961507.Google Scholar
Orzack, Steven (1990), “The Comparative Biology of Second Sex Ratio Evolution within a Natural Population of a Parasitic Wasp, Nasonia vetripennis”, The Comparative Biology of Second Sex Ratio Evolution within a Natural Population of a Parasitic Wasp, Nasonia vetripennis 124:385396.Google Scholar
Orzack, Steven, and Sober, Elliott (1993), “A Critical Assessment of Levins’s The Strategy of Model Building in Population Biology (1966)”, A Critical Assessment of Levins’s The Strategy of Model Building in Population Biology (1966) 68:533546.Google Scholar
Puccia, Charles, and Levins, Richard (1985), Qualitative Modeling of Complex Systems. Cambridge, MA: Harvard University Press.CrossRefGoogle Scholar
Quirk, James, and Ruppert, Richard (1965), “Qualitative Economics and the Stability of Equilibrium”, Qualitative Economics and the Stability of Equilibrium 32:311326.Google Scholar
Sarkar, Sahotra, and Garson, Justin (2004), “Multiple Criterion Synchronization (MCS) for Conservation Area Network Design: The Use of Nondominated Alternative Sets”, Multiple Criterion Synchronization (MCS) for Conservation Area Network Design: The Use of Nondominated Alternative Sets 2:433448.Google Scholar
Simon, Herbert (1991), “Forward”, in Fishwick, Paul and Lucker, Paul (eds.), Qualitative Simulation Modeling and Analysis. New York: Springer Verlag, vvii.Google Scholar
Sober, Elliott (1983), “Equilibrium Explanation”, Equilibrium Explanation 43:201210.Google Scholar
Weisberg, Michael (2004), “Qualitative Theory and Chemical Explanation”, Qualitative Theory and Chemical Explanation 71:10711081.Google Scholar
Werren, John (1980), “Sex Ratio Adaptations of Local Mate Competition in a Parasitic Wasp”, Sex Ratio Adaptations of Local Mate Competition in a Parasitic Wasp 208:11571159.Google Scholar
Wimsatt, William (1970), “Some Problems with the Concept of ‘Feedback’”, in Buck, Roger C. and Cohen, Robert S. (eds.), PSA 1970: Proceedings of the 1970 Biennial Meeting of the Philosophy of Science Association, Vol. 1. Dordrecht: D. Reidel, 241256.Google Scholar
Wimsatt, William (1987), “False Models as Means to Truer Theories”, in Nitecki, Matthew and Hoffman, Antoni (eds.), Neutral Models in Biology. New York: Oxford University Press, 2355.Google Scholar
Wimsatt, William (2001), “Richard Levins as Philosophical Revolutionary”, Richard Levins as Philosophical Revolutionary 16:103108.Google Scholar
Winsberg, Eric (2001), “Simulations, Models, and Theories: Complex Physical Systems and Their Representations”, Simulations, Models, and Theories: Complex Physical Systems and Their Representations 68 (Proceedings): S442S454.Google Scholar
Wright, Sewall (1921), “Correlation and Causation”, Correlation and Causation 20:557585.Google Scholar