Lec #  Topics  Readings 

Complexity, Stability, and the Struggle for Existence 

1 
Predatorprey Models 
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): 558560. 
2 
Supplemental Information Ecological Experiments 
Gause, 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): 1617. 
3 
Supplemental Information Niche Theory 
Hutchinson, G. E. Concluding Remarks. Cold Spring Harbor Symp. Quan Biol 22 (1957): 415427. ———. “Homage to Santa Rosalia, Or Why Are There So Many Kinds of Animals?” American Naturalist 93 (1959): 254259. 
4 
Stability of Complex Systems 
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): 477488. 
5 
Supplemental Information Competitive Exclusion 
Armstrong, R. A., and R. McGehee. “Competitive Exclusion.” American Naturalist 115 (1980): 151170. 
6 
Chaotic Dynamics 
Cushing, J. M., et al. “A Chaotic Attractor in Ecology: Theory and Experimental Data.” Chaos Solitons and Fractals 12 (2001): 219234. 
7 
Network Theory 
Krapivsky, P. L., and S. Redner. “Organization of Growing Random Networks.” Condmat/0011094, 2000. Strogatz, S. H. “Exploring Complex Networks.” Nature 410 (2001): 268276. 
Spatial Interactions 

8 
Population Dispersal 
Skellam, J. G. “Random Dispersal in Theoretical Populations.” Biometrika 38 (1951): 196216. 
9 
Patchiness 
MacArthur, R. H., and E. R. Pianka. “On Optimal Use of a Patchy Environment.” American Naturalist 100 (1966): 603609. 
10 
Pattern and Scale 
Levin, S. A. “The Problem of Pattern and Scale in Ecology.” Ecology 73 (1992): 19431967. 
11 
Spatial Models and Interacting Particle Systems 
Durrett, R. “Stochastic Spatial Models.” SIAM Review 41 (1994): 677718. 
12 
Latticegas Models 
Satulovsky, J. E., and T. Tome. “Stochastic Lattice Gas Model for a Predatorprey System.” Phys Rev E 49 (1994): 50735079. 
13 
Plankton Patchiness 
Flierl, G., D. Grunbaum, S. Levin, and D. Olson. “From Individuals to Aggregations: The Interplay Between Behavior and Physics.” Journal of Theoretical Biology 196 (1999): 397454. 
14 
Supplemental Information Scaling from Trees to Forests 
Plotkin, J. B., et al. “Predicting Species Diversity in Tropical Forests.” Proc Natl Acad Sci 97 (2000): 1085010854. 
Coevolution with the Environment 

15 
Evolution of Biodiversity 
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. 129150. ISBN: 9780691083742. ———. “The Geologic History of Diversity.” Annu Rev Ecol Syst 21 (1990): 509539. 
16 
Supplemental Information Adaptation and Diversification 
Lenski, R. E., and M. Travisano. “Dynamics of Adapatation and Diversification: A 10,000generation Experiment with Bacterial Populations.” Proc Natl Acad Sci 91 (1994): 68086814. 
17 
Artificial Life and Biological Complexity 
Adami, C., C. Ofria, and T. C. Collier. “Evolution of Biological Complexity.” Proc Natl Acad Sci 97 (2000): 44634468. 
18 
Cycles 
Kauffman, S. “Metabolic Stability and Epigenesis in Randomly Constructed Genetic Nets.” Journal of Theoretical Biology 22 (1969): 437467. 
Student Presentations 

19 
Reactivity, Stability, and Plankton (2 Presentations) 

20 
Theory of ProductivityDiversity Relationships 

21 
Evolution of Virulence in HostPathogen Systems 

22 
Renormalization Approach to Biological Systems 

23 
Directed Motion in LotkaVolterra Models 

24 
Supplemental Information “Highly Optimized Tolerance” and Ecology 

25 
Theory of Vegetation Patterns 
Readings
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2001
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