Extracting the underlying physiological determinants of resource-based trade-offs: a principal components approach

The relationship between traits that compete for resources is influenced by variance in the acquisition and allocation of resources. The difficulty of accurately measuring these underlying physiological processes has hampered studies of resource-based trade-offs. Here, we explore the ability of principal components analysis (PCA) to extract axes corresponding to acquisition and allocation in a bivariate trade-off by comparing these axes to estimates obtained using physiological measurements. We validate the method using simulations and then test it using empirical data for the well-characterized trade-off between flight capability and reproduction in female sand crickets, Gryllus firmus. We find a high correspondence between our physiological estimates and the estimates obtained using PCA. Our results demonstrate that PCA provides a robust and efficient method for estimating acquisition and allocation directly from the traits involved in a resource-based trade-off.