goelz: Create a Goelz Triangle experimental design

In kevinwolz/sysdesign: An R Toolbox for Creating & Analyzing Systematic Experimental Designs in Biology

Description

Creates a Goelz Triangle experimental design.

Usage

goelz(N = 35)

Arguments

N	The number of plants to be on each edge of the design.

Details

The Goelz Triangle experimental design (Goelz 2001) is an experimental design that systematically varies species composition of three plant species within a single plot, while maintaining a constant plant density. This function creates a Goelz Triangle design following several criteria set forth by Goelz (2001):

• "symmetry" - Symmetry requires that, for every planting spot assigned, the 2 corresponding planting spots be assigned corresponding species.

• "equality" - Equality merely requires that equal numbers of each species be assigned to each plot. This will be achieved if the number of planting spots per plot is a multiple of three and if symmetry is imposed.

• "conformity" - Conformity to the intended pattern requires that the species proportion in any subsection of the triangular plot is close to the expectations.

This function does NOT robustly impose the conformity criterion. Species are assigned randomly to each position by sampling the three species using weights based on the theoretical probability of each species at that point. For a robust implementation of the conformity criterion that optimizes the rough initial approach of this function using an evolutionary algorithm, use goelz_optim.

Value

A data frame (tibble) of class sysd and class goelz.

Author(s)

Kevin J Wolz, [e-mail]

References

• Goelz JCG (2001) Systematic experimental designs for mixed species plantings. Native Plants Journal 2:90–96. http://npj.uwpress.org/content/2/2/90.short

See Also

Other definition functions: goelz_add_border(), goelz_corners(), goelz_guides(), goelz_mirror(), goelz_optim(), goelz_starts(), nelder_biculture_competition(), nelder_biculture_optim(), nelder_biculture(), nelder_decision(), nelder_interspoke_distance(), nelder(), select_optimal_goelz(), select_optimal_nelder_biculture()

Examples

dat <- goelz()

kevinwolz/sysdesign documentation built on June 13, 2020, 1:35 a.m.