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Competition for Light in a Plant Monoculture Modelled as a Spatial Stochastic Process
Authors:FORD  E D; DIGGLE  P J
Institution:1Institute of Terrestrial Ecology Bush Estate, Penicuik, Midlothian EH26 0QB
2Department of Statistics, University of Newcastle-Upon-Tyne Newcastle-Upon-Tyne
Abstract:In a glasshouse experiment closely spaced plants were regularlysub-irrigated with nutrient solution and it was assumed thatcompetition between individuals was for light. Interaction betweenneighbours is modelled as a spatial process in relation to differencesin plant height. The influence one plant has on another is calculatedas the ratio of the angle ß between their apices,and an angle {theta} which represents the intensity of competitionin the population as a whole. When ß < {theta} suppressionis considered to occur, i.e. tall plants suppress short plantsbut not vice versa, competition is one-sided. The status ofeach plant within the population is calculated by multiplicationof its individual plant neighbour interaction terms where ß< {theta}. This need not be restricted to nearest neighbours. Plantswith status = 1 are free from competition, those with status= 0 are totally suppressed. It is acknowledged that other processes than that modelled ascompetition may result in variation in relative growth rates.To account for this plant status is used to modify a relativegrowth rate drawn from a population of mean µ and standarddeviation {sigma}. Plants for which status µ is less than anestimated {phi} are considered to die. Parameter values were estimatedfor a sequence of fortnightly harvests of glasshouse grown Tagetespatula. There was a decrease in µ and {theta}, {phi} increased andplants came to compete with their second nearest neighboursas well as their nearest as the community developed. The greatest{sigma} was at an intermediate stage, suggesting that more frequentassessments of the competition process are required at somestages than at others. Model parameters fitted to one data setwere used in a Monte Carlo testing procedure with a second,independent data set. The importance of this technique is stressedbecause plants in a single community are not independent realizationof the competition process. Simulations with the model reproducedboth bimodality in the frequency distributions of plant sizeand an even spatial distribution of large or surviving plants,features which have been observed in a range of plant monocultures.To achieve these features it was essential that plant interactionbe modelled as a one-sided process. Tagetes patula L., competition, light, monoculture, growth model
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