CASE STUDY: Old Field Succession Model
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Source:
Swartzman, G.L. and S.P. Kaluzny: Ecological Simulation Primer, Macmillan, New York, 1987.
Background:
After farmland has been abandoned, various species of grass arrive to reclaim the land. Based on a study of 30 old fields in Oklahoma, a succession of five dominant or co-dominant grass species were identified. Helianthus annus (sunflower) and Digitaria sanguinalis identify the first stage, Aristida oligantha (three-awn grass) the second stage, Aristada basiramea (red three-awn) the third stage, Eragrostis secundiflora (lovegrass) the fourth stage and Andropogen scoparius (little bluestem) and Bouteloua curtipendula (sidecoats grama) the final, climax stage.
Modeling:
We wish to model the percent of area dominated by each type of grass for a period of 10 years. Initially, 85 percent of the field is in the first successional stage, 10 percent in the second stage, and 5 percent in the third stage. For each time step, the flow rate is as follows:
  | From 1 | From 2 | From 3 | From 4 | From 5 |
To 1 |   |   |   |   |   |
To 2 | 0.8 |   |   |   |   |
To 3 | 0.2 | 1.0 |   |   |   |
To 4 |   |   | 0.7 |   |   |
To 5 |   |   |   | 0.8 |   |
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