Discontinuities and alternative scalings in the density–mass relationship of anuran larvae

Abstract

Size–density relationships (SDRs) frequently follow a power-law relationship, with exponents that compensate for the increase in population-level metabolic demand—the energetic equivalence rule. However, these exponents present a range of values, and elucidating its methodological and biological determinants has become a main issue. So far, a restricted set of potential relationships, mechanisms, and taxa have been considered. Here, we analyzed SDR in a population of tadpoles inhabiting a network of 16 temporal ponds. Alternative scaling regimes were detected using pacewise regressions and estimating exponents with maximum likelihood (ML). If discontinuities in the SDR are ignored, a scaling close to values reported elsewhere is observed. However, estimated slopes between discontinuities are steeper (threefold to fivefold) than those often reported, but congruent with the performance predicted for ML and the biases reported for other methods. Our estimations largely deviate from an energetic equivalence, suggesting that large individuals use less energy per unit area. The detection of different SDRs in the same database, with a strong decay in abundance with body size, points to a pattern poorly considered in previous studies, widening the range of patterns, mechanisms, and ecological, or evolutionary consequences of the SDRs.