F1 = first principal component of generalized Procrustes
analysis (GPA); F2 = second principal component of GPA; F3 = third principal component of GPA.
Group-centered scores of the regression between Procrustes
coordinates and log-transformed centroid size.
In recent weeks, our renditions of Procrustes
have been unveiled, and they range from heads of schools to the Judiciary.
Significant differences in shell shape among locations were reflected in the site-by-site Procrustes
distances, measuring the absolute amount of shape difference.
2.17, Rohlf, 2013a) y para estimar las coordenadas de forma mediante el analisis generalizado de Procrustes
distance matrix revealed significant differences in shape of the hind femur (p<0.01) among the studied populations (Table 2).
Geometric morphometries of developmental instability: analyzing patterns of fluctuation asymmetry with Procrustes
Table 1 Procrustes
distances for the mean body shape of blue jack mackerel (Trachurus picturatus) from the 3 areas sampled in this study in 2015, off the Madeira archipelago, off Peniche on mainland Portugal, and off the Canary Islands.
These training meshes were normalised by Procrustes
analysis before using PCA.
To align the data, we ran a single Procrustes
fit using tpsSuper (Rohl 2016b).
For each anatomical landmark, the Procrustes
residual is the difference between the position of the specimens' anatomical landmarks and the position of the homologous anatomical landmark in the consensus.
method (Smith & Beattie, 1990), which uses an orthogonal projection, and the least-squares minimization methods are examples of the third group of modal expansion techniques.