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Analysis of plant competition experiments for different ratios of species.

C. A. McGilchrist

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Abstract

SUMMARY An analysis is suggested for an experiment investigating competition between different plant species when they are grown in monoculture and in mixed cultures with species not in equal proportions. tion. An analysis is now obtained for a similar experiment in which mixed cultures are grown with species in the ratio u: v, where u + v = 1 and u + 1. All p(p - 1) combinations of two are grown, as well as the monoculture plantings. If we investigate competition between several varieties of wheat at ratio -1: 2 (and thus also at ratio 3: 3) each variety is grown in monoculture, in ratio 1:2 with every other variety and in ratio 2:1 with every other variety. Since an analysis is straightforward for p = 2 we assume that p > 2 and that we have r1 replications of monoculture yields, r2 replications of mixed culture yields.

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SUMMARY An analysis is suggested for an experiment investigating competition between different plant species when they are grown in monoculture and in mixed cultures with species not in equal proportions. tion. An analysis is now obtained for a similar experiment in which mixed cultures are grown with species in the ratio u: v, where u + v = 1 and u + 1. All p(p - 1) combinations of two are grown, as well as the monoculture plantings. If we investigate competition between several varieties of wheat at ratio -1: 2 (and thus also at ratio 3: 3) each variety is grown in monoculture, in ratio 1:2 with every other variety and in ratio 2:1 with every other variety. Since an analysis is straightforward for p = 2 we assume that p > 2 and that we have r1 replications of monoculture yields, r2 replications of mixed culture yields.

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Available abstract

SUMMARY An analysis is suggested for an experiment investigating competition between different plant species when they are grown in monoculture and in mixed cultures with species not in equal proportions. tion. An analysis is now obtained for a similar experiment in which mixed cultures are grown with species in the ratio u: v, where u + v = 1 and u + 1. All p(p - 1) combinations of two are grown, as well as the monoculture plantings. If we investigate competition between several varieties of wheat at ratio -1: 2 (and thus also at ratio 3: 3) each variety is grown in monoculture, in ratio 1:2 with every other variety and in ratio 2:1 with every other variety. Since an analysis is straightforward for p = 2 we assume that p > 2 and that we have r1 replications of monoculture yields, r2 replications of mixed culture yields.

Key concepts: Monoculture, Competition (biology), Mathematics, Variety (cybernetics), Statistics, Biology, Botany, Horticulture

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