Balanced designs for two-component competition experiments

Boffey, T. B.; Veevers, A.

doi:10.1007/bf00027012

Cited by 13 publications

(12 citation statements)

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“…VEEVERS (1978) raises some questions concerning 'de Wit' type experiments and in particular argues for balanced designs in fifty-fifty mixtures on a triangular lattice (cf. BOFFEY & VEEVERS (1977)). Although the triangular lattice has certain advantages over the square lattice the balanced designs on the former are not fully efficient (not all interior plants are harvested) whilst those presented here are.…”

Section: Discussionmentioning

confidence: 99%

“…In competition experiments it is desirable to have a design which is balanced for the inter-cultivar competition effect at a hill-plot of the number of nearest neighbours (of the opposing cultivar) whether or not this particular effect is the one being principally investigated. BOFFEY & VEEVERS (1977) discussed this point and gave an example of a balanced design for two cultivars on a triangular lattice pointing out its advantages over the often used 'alternate rows' equal proportion mixture arrangement. Here, three complete families of balanced designs for two cultivars planted on a square lattice are given.…”

Section: Introductionmentioning

confidence: 99%

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Balanced designs for two-component competition experiments on a square lattice

Veevers

Zafar-Yab

1980

Euphytica

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Balanced designs for two-component competition experiments on a square lattice

Veevers

Zafar-Yab

1980

Euphytica

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“…diameter x 40 cm high at HD; 10 cm diameter x 25 cm high at LD) to ensure that they were competing for light only. In all situations, the pots were arranged according to a hexagon lattice for planting, so that all plants were equidistant within the stand (Harper, 1961;Boffey and Veevers, 1977). In addition, each individual in the mixture was surrounded by three of its own species and three of the other species.…”

Section: Introductionmentioning

confidence: 99%

Simple envelope-based reconstruction methods can infer light partitioning among individual plants in sparse and dense herbaceous canopies

Louarn

Silva

Godin

et al. 2012

Agricultural and Forest Meteorology

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“…The problem is compounded if there is interest in studying such effects under a range of environments. Boffey & Veevers (1977) and Veevers & Boffey (1979) developed efficient planting designs for the study of competition in two-component mixtures under a range of frequencies. In plant populations, it has been emphasized (Harper 1977; see also Hozumi, Koyama & Kira 1955;and Gates 1980a, b) that individuals are sessile and do not sense the effects of overall density or frequency but only the impact of near neighbours.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Frequency and Density Effects on Growth in Mixtures of Salvia Splendens and Linum Grandiflorum Using Hexagonal Fan Designs

Antonovics

Fowler

1985

The Journal of Ecology

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JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org.. British Ecological Society is collaborating with JSTOR to digitize, preserve and extend access to Journal of Ecology. SUMMARY(1) The use of hexagonal fan designs as an efficient method for the analysis of frequency and density effects on growth and survival in two-component mixtures is illustrated in greenhouse experiments with the annual cultivars Salvia splendens and Linum grandiflorum.(2) Density had a large effect on vegetative and reproductive weight of Salvia, but a lower effect on Linum. These effects were consistent with the dwarf, large-broad-leaved habit of Salvia and the tall, small-narrow-leaved habit of Linum. Reproductive effort in Salvia declined with increasing density but increased in Linum.(3) There were complex density and frequency interactions, with the growth of Salvia at low densities being affected by a higher frequency of Salvia, and at high densities being affected by a higher frequency of Linum. At low densities, mixtures tended to give increased yields at low Salvia frequencies, but lower yields at high Salvia frequencies than in monocultures.(4) The density and frequency responses in the mixed hexagonal fan designs were generally consistent with responses in pure fans, or pure stands at fixed density, although there was evidence that the results in the mixed fans could not solely be accounted for by nearest-neighbour effects.(5) Data from such designs could be used to construct replacement series graphs, and density-frequency response surfaces, and to examine population regulation in two-species mixtures using graphs of population growth given different initial numbers of the two components. Complex patterns of population regulation were revealed that did not fit expectations from simple two-species competition models.(6) Hexagonal fan designs provided an approximately four-fold economy in seeds and nearly a ten-fold economy in space, compared with separate hexagonal plots providing the same range of frequencies and densities. However, there are considerable statistical problems associated with the analysis of such designs. Nevertheless, they promise to be an important exploratory tool for examination of yield and population regulation in two-species mixtures.

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Balanced designs for two-component competition experiments

Cited by 13 publications

References 2 publications

Balanced designs for two-component competition experiments on a square lattice

Balanced designs for two-component competition experiments on a square lattice

Simple envelope-based reconstruction methods can infer light partitioning among individual plants in sparse and dense herbaceous canopies

Analysis of Frequency and Density Effects on Growth in Mixtures of Salvia Splendens and Linum Grandiflorum Using Hexagonal Fan Designs

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