Comments on the manna model

✍ Scribed by Dr. I. Walker

• Publisher: John Wiley and Sons
• Year: 1988
• Tongue: English
• Weight: 433 KB
• Volume: 73
• Category: Article
• ISSN: 1434-2944
• DOI: 10.1002/iroh.19880730208

✦ Synopsis

WAROERSKY and WAROERSKY'S (1980, 1981, 1983) Manna models on algal patchiness and competition are essentially stochastic models. Analysis of their phase-spatial properties, however, reveals complementary, deterministic features: interspecific competition is relatively ineffective because of the high degree of compartmentalization of resource supply and consumption; the probability of consumption in a given place a t a given time is largely independent of the rate of consumption in other places.

Abbreviations

R resource supply, number units per time interval At.

i suffix for a given consumer species.

si survival time permitted per absorbed resource unit. dRi resource increment necessary to survive one time interval At. f rate of reproduction; binary fissions per resource consumed. ri growth rate of consumer species. C total number of space cells in the grid. K maximum number of cells occupied by consumers (carrying capacity). P probability of resource presence per empty space cell and At. P, probability of resource absorption in space cell c within a time interval At. P& rate of resource absorption in space cell c'=I=c. PA probability of consuniption per consumer and At in the aggregating population. PD probability of consumption per consumer and At in the dispersed population.