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Dynamics of Complex Systems: Ecological Theory >> Content Detail



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Lec #TopicsReadings
Complexity, Stability, and the Struggle for Existence
1Predator-prey ModelsAmazon logo Lotka, A. Elements of Mathematical Biology. New York, NY: Dover Publications, Inc. 1925, Reprinted 1957. ISBN: 9780486603469.

Volterra, V. "Fluctuations in the Abundance of a Species Considered Mathematically." Nature 118 (1926): 558-560.
2Supplemental Information Ecological ExperimentsGause, G. F. "The Struggle for Existence." Baltimore, MD: Williams and Wilkins, 1934a. (Full text ).

———. "Experimental Analysis of Vito Volterra's Mathematical Theory of the Struggle for Existence." Science 79 (1934b): 16-17.
3Supplemental Information Niche TheoryHutchinson, G. E. Concluding Remarks. Cold Spring Harbor Symp. Quan Biol 22 (1957): 415-427.

———. "Homage to Santa Rosalia, Or Why Are There So Many Kinds of Animals?" American Naturalist 93 (1959): 254-259.
4Stability of Complex SystemsAmazon logo May, R. M. Stability and Complexity in Model Ecosystems . Princeton, NJ: Princeton University Press, 2001. ISBN: 9780691088617.

Kerner, E. H. "Why Are There So Many Species?" Bull Math Biol 36 (1974): 477-488.
5Supplemental Information Competitive ExclusionArmstrong, R. A., and R. McGehee. "Competitive Exclusion." American Naturalist 115 (1980): 151-170.
6Chaotic DynamicsCushing, J. M., et al. "A Chaotic Attractor in Ecology: Theory and Experimental Data." Chaos Solitons and Fractals 12 (2001): 219-234.
7Network TheoryKrapivsky, P. L., and S. Redner. "Organization of Growing Random Networks." Cond-mat/0011094, 2000.

Strogatz, S. H. "Exploring Complex Networks." Nature 410 (2001): 268-276.
Spatial Interactions
8Population DispersalSkellam, J. G. "Random Dispersal in Theoretical Populations." Biometrika 38 (1951): 196-216.
9PatchinessMacArthur, R. H., and E. R. Pianka. "On Optimal Use of a Patchy Environment." American Naturalist 100 (1966): 603-609.
10Pattern and ScaleLevin, S. A. "The Problem of Pattern and Scale in Ecology." Ecology 73 (1992): 1943-1967.
11Spatial Models and Interacting Particle SystemsDurrett, R. "Stochastic Spatial Models." SIAM Review 41 (1994): 677-718.
12Lattice-gas ModelsSatulovsky, J. E., and T. Tome. "Stochastic Lattice Gas Model for a Predator-prey System." Phys Rev E 49 (1994): 5073-5079.
13Plankton PatchinessFlierl, G., D. Grunbaum, S. Levin, and D. Olson. "From Individuals to Aggregations: The Interplay Between Behavior and Physics." Journal of Theoretical Biology 196 (1999): 397-454.
14Supplemental Information Scaling from Trees to ForestsPlotkin, J. B., et al. "Predicting Species Diversity in Tropical Forests." Proc Natl Acad Sci 97 (2000): 10850-10854.
Co-evolution with the Environment
15Evolution of BiodiversityAmazon logo Signor, P. W., III. "Real and Apparent Trends in Species Richness Through Time." In Phanerozoic Diversity Patterns. Edited by J. W. Valentine. Princeton, NJ: Princeton University Press, 1986, pp. 129-150. ISBN: 9780691083742.

———. "The Geologic History of Diversity." Annu Rev Ecol Syst 21 (1990): 509-539.
16Supplemental Information Adaptation and DiversificationLenski, R. E., and M. Travisano. "Dynamics of Adapatation and Diversification: A 10,000-generation Experiment with Bacterial Populations." Proc Natl Acad Sci 91 (1994): 6808-6814.
17Artificial Life and Biological ComplexityAdami, C., C. Ofria, and T. C. Collier. "Evolution of Biological Complexity." Proc Natl Acad Sci 97 (2000): 4463-4468.
18CyclesKauffman, S. "Metabolic Stability and Epigenesis in Randomly Constructed Genetic Nets." Journal of Theoretical Biology 22 (1969): 437-467.
Student Presentations
19Reactivity, Stability, and Plankton (2 Presentations)
20Theory of Productivity-Diversity Relationships
21Evolution of Virulence in Host-Pathogen Systems
22Renormalization Approach to Biological Systems
23Directed Motion in Lotka-Volterra Models
24Supplemental Information "Highly Optimized Tolerance" and Ecology
25Theory of Vegetation Patterns

 








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