Allometric scaling relationships of jumping performance in the striped marsh frog Limnodynastes peronii

We constructed a force platform to investigate the scaling relationships of the detailed dynamics of jumping performance in striped marsh frogs (Limnodynastes peronii). Data were used to test between two alternative models that describe the scaling of anuran jumping performance; Hill's model, which predicts mass-independence of jump distance, and Marsh's model, which predicts that jump distance increases as M-0.2, where M is body mass. From the force platform, scaling relationships were calculated for maximum jumping force (F-max), acceleration, take-off velocity (U-max), mass- specific jumping power (P-max), total jumping distance (D-J) and total contact time for 75 L. peronii weighing between 2.9 and 38.4 g. F-max was positively correlated with body mass and was described by the equation F-max=0.16M(0.61), while P-max decreased significantly with body mass and was described by the equation P-max=347M(-0.46). Both D-J and U-max were mass- independent over the post-metamorph size range, and thus more closely resembled Hill's model for the scaling of locomotion. We also examined the scaling relationships of jumping performance in metamorph L. peronii by recording the maximum jump distance of 39 animals weighing between 0.19 and 0.58 g. In contrast to the post-metamorphic L. peronii, D-J and U-max were highly dependent on body mass in metamorphs and were described by the equations D-J=38M(0.53) and U-max=1.82M(0.23), respectively. Neither model for the scaling of anuran jumping performance resembled data from metamorph L. peronii. Although the hindlimbs of post-metamorphic L. peronii scaled geometrically (body mass exponent approximately 0.33), the hindlimbs of metamorphs showed greater proportional increases with body mass (mass exponents of 0.41-0.42).