Phenotypic integration index by Wagner
Estimates phenotypic integration indices based on the variance of the eigenvalues of the correlation matrix between phenotypic traits following Wagner (1984).
pint(traits)
traits |
a dataframe or a matrix object containing traits as columns and individuals as rows |
This function estimates the phenotypic integration index (PINT) using the correlation matrix following Wagner (1984), as well as a phenotypic integration index (PINT.c) corrected by the number of traits and individuals of each population. The uncorrected estimate is also expressed as percentage depending on the maximum possible integration levels.
A list with five elements containing:
PINT: |
The phenotypic integration index. |
RelPINT: |
Percentage of maximum possible integration. |
PINT.c: |
Corrected phenotypic integration index. |
N: |
Number of observations used. |
R. Torices, A.J. Muñoz-Pajares
Cheverud, J.M., Wagner, G.P. & Dow, M.M. 1989. Methods for the comparative analysis of variation patterns. Systematic Zoology 38:201–213
Pavlicev, M., Cheverud, J.M. & Wagner, G.P. 2009. Measuring morphological integration using eigenvaluev ariance. Evolutionary Biology 36:157–170
Wagner, G.P. 1984. On the eigenvalue distribution of genetic and phenotypic dispersion matrices: evidence for a nonrandom organization of quantitative character variation. Journal of Mathematical Biology 21:77–95
# Dataset from Torices & Méndez (2014) # This data set represents the dry mass (in grams) of inflorescence components of the sunflower # species Tussilago farfara. The inflorescences were dissected in 'SCAPE', 'RECEPTACLE', 'MALEFL' # (male flowers), 'OVAR' (reproductive part of female flowers), and 'RAYS' (the petaloid ray of # female flower). Furthermore in the last column the total weight of the inflorescence is added # 'TOTALSIZE' data(tussilago) pint (tussilago[,1:5]) # the last column is not included since represents the total size # NOTE that the number of observations used by the function was 18 instead 29 that were # included in the 'tussilago' data set. Missing values were removed.
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