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Dynamics of Complex Systems
12.517 G(2) 309 Spring 2000
The theme for Spring 2000 will be
Complexity in Ecology.
Fundamental problems in the field of complex systems focus on the
importance of interactions and adaptations in a hierarchy of
length and time scales. Ecology presents a series of canonical
problems in which these features play a prominent role;
the relation of biodiversity to ecosystem stability and
the impact of environmental fluctuations on speciation and extinction
are but two examples.
In this class we will critically examine recent literature in the field
by holding twice-weekly roundtable discussions.
The emphasis will be on developing quantitative theories
in the context of experimental and observational data.
No background in ecology will be presumed.
The first meeting is scheduled for
Tuesday, February 1st in 54313 at 11:00 am.
Unless there are conflicts, we will
meet thereafter on Tuesdays and Thursday
from 11 am to 12:30 pm.
Contacts:
Prof. Daniel Rothman
and Joshua Weitz
Continuing discussion: Web forum (password required)
Course overview: [synopsis (pdf)] [synopsis (ps)] [references (bib)]
[course poster (b&w)] [course poster (color)]
List of topics:
Introduction.
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1. How many species are there on Earth? (May, 1988)
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Food webs.
Biodiversity and ecological stability.
Diversity and ecosystem function.
Species-area relationships.
Species-energy relationships.
Extinctions and home range.
The role of body size in ecology
Student presentations.
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1. Niche webs.
2. Dynamic food webs.
3. Island area and flora.
4. Biodiversity-biomass relationships.
5. Allometric scaling.
6. Dynamic spatial models.
7. Case study: Johnston Atoll.
8. Remote sensing of phytoplankton.
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(return to education)
References
Alroy, J., 1998,
Cope's rule and the dynamics of body mass evolution in North American
fossil mammals.
Science 280, 731-4.
Blackburn, T.M. and Gaston, K.J., 1996,
Abundance-body size relationships: the area you census tells you more.
OIKOS 75, 303-9.
Brown, J.H. and Maurer, B.A., 1989,
Macroecology: The division of food and space among species on continents.
Science 243, 1145-50.
Channel, R. and Lomolino, M.V., 2000 ,
Dynamic biogeography and conservation of endangered species.
Nature 403, 84-6.
Cohen, J.E. and Newman, C.M., 1985,
A stochastic theory of community food webs I. Models and aggregated data.
Proc. R. Soc. Lond. B 224, 421-48.
Cohen, J.E. and Newman, C.M., 1985b,
When will a large complex system be stable?
J. Theor. Biol. 113, 153-6.
Currie, 1991,
Energy and large-scale patterns of animal- and plant-species richness.
The American Naturalist 137, 27-49.
Damuth, J., 1981,
Population density and body size in mammals.
Nature 290, 699-700.
Demetrius, L., 1997,
Directionality principles in thermodynamics and evolution.
Proc. Natl. Acad. Sci. 94, 3491-8.
Demetrius, L., 2000
Directionality theory and the evolution of body size.
Unpublished.
Doak, D.F. et al., 1998
The statistical inevitability of stability
diversity relationships in community ecology.
American Naturalist 151, 264-76.
Durrett, R. and Levin, S., 1996
Spatial models for species-area curves.
Journal of Theoretical Biology 179, 119-127.
Enquist, B.J., Brown, J.H. and West, G.B., 1998,
Allometric scaling of plant energetics and population density.
Nature 395, 163-5.
Goldwasser, L. and Roughgarden, J., 1993,
Construction and analysis of a large Caribbean food web.
Ecology 74, 1216-33.
Grime, J.P., 1997
Biodiversity and ecosystem function: The debate deepens.
Science 277, 1260-1.
Havens, K., 1992,
Scale and structure in natural food webs.
Science 257, 1107-9.
Hooper, D.U. and Vitousek, P.M., 1997,
The effects of plant composition and diversity on ecosystem processes.
Science 277, 1302-5.
LaBarbera, M., 1989 ,
Analyzing body size as a factor in ecology and evolution.
Annu. Rev. Ecol. Sys. 20, 97-117.
Lawton, J.H., 1995,
Population dynamics principles.
in R.H. Lawton and R.M. May, eds.,
Extinction Rates,
University of Oxford Press, pp. 147-63.
Lindstedt, S.L., Miller, B.J. and Buskirk, S.W.,
Home range, time and body size in mammals.
Ecology 67, 413-8.
MacArthur, R.H. and Wilson, E.O., 1963,
An equilibrium theory of insular zoogeography.
Evolution 17, 373-387.
May, R.M., 1972,
Will a large complex system be stable?
Nature 238, 413-414.
May, R.M., 1975,
Patterns of species abundance and diversity.
In M. L. Cody, J. M. Diamond, eds.,
Ecology and Evolution of Communities,
Harvard University Press, pp. 81-120.
May, R.M., 1988,
How many species are there on Earth?
Science 241, 1441-9.
Also available online.
Naeem, S., Thompson, L.J., Lawler, S.P., Lawton, J.H. and Woodfin, R.M.
Empirical evidence that declining species diversity may alter the performance of terrestrial ecosystems.
Phil. Trans. R. Soc. Lond. B 347, 249-62.
Pimm, S.L., Lawton, J.H., 1977,
Number of trophic levels in ecological communities.
Nature 268, 329-331.
Pimm, S.L., Lawton, J.H. and Cohen, J.E., 1991,
Food web patterns and their consequences.
Nature 350, 669-74.
Post, W.M. and Pimm, S.L., 1983,
Community assembly and food web stability.
Mathematical Biosciences 64, 169-192.
Rosenzweig, M. L. and Abramsky, Z., 1993,
How are diversity and productivity related?
In R. E. Ricklefs and D. Schluter, eds.,
Diversity in Ecological Communities,
University of Chicago Press, pp. 52-65.
Solow, A.R., Costello, C. and Beet, A., 1999,
On an early result on stability and complexity.
American Naturalist 154, 587-588.
Tilman, D., 1996,
Biodiversity: Population versus ecosystem stability.
Ecology 77, 350-363.
Tilman, D., Knops, J., Wedin, D., Reich, P., Ritchie, M. and Siemann, M., 1997,
The influence of functional diversity and compsition on ecosystem processes.
Science 277, 1300-2.
Tilman, D., Lehman, C.L. and Bristow, C.E., 1998,
Diversity stability relationships: Statistical inevitability
or ecological consequence?
American Naturalist 151, 277-82.
Wright, D.H., 1983,
Species-energy theory: an extension of species-area theory.
Oikos 41, 4896-506.
Wright, D.H., Currie, D.J. and Maurer, B.A., 1993,
Energy supply and patterns of species richness on local and regional scales.
In R. E. Ricklefs and D. Schluter, eds.,
Diversity in Ecological Communities,
University of Chicago Press, pp. 66-74.
Wardle, D.A., Zackrisson, O., Hornberg, G. and Gallet, C., 1997,
The influence of island area on ecosystem properties.
Science 277, 1296-1300.
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