Metabolic scaling of individuals vs. populations: Evidence for variation in scaling exponents at different hierarchical levels
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Bibliographic record
Abstract
Abstract The power scaling of metabolic rate with body mass is fundamental to animal biology, due to the profound influence that animal size has on ecology and physiology. Yet the value of the scaling exponent ( b ) is highly debated. This scaling exponent has been suggested to be fixed at 0.67 or 0.75, or to vary systematically with cell size or metabolic intensity between the boundaries of 0.67 and 1. Despite this tremendous interest in the value of scaling exponents, little is known about metabolic scaling within individual animals and how this relates to population‐level scaling. Here, we conducted a long‐term study that repeatedly characterised the complete metabolic profile of a group of 68 individual fish (cunner, Tautogolabrus adspersus ) by measuring their standard metabolic rate ( SMR ), routine metabolic rate ( RMR ), active metabolic rate ( AMR ) and aerobic scope ( AS ) in five separate trials over 10 months (fish mass range, 0.5–19.5 g). At all levels of metabolic intensity, the mean exponents for the group of fish at any single point in time (i.e. within trials; b SMR = 0.89, b RMR = 0.89, b AMR = 0.94, b AS = 0.96) were higher than those characterising the group as it aged (i.e. across trials; b SMR = 0.82, b RMR = 0.84, b AMR = 0.90, b AS = 0.92), and both were higher than the mean exponents for individual fish as they grew (i.e. across trials but within individuals; b SMR = 0.74, b RMR = 0.79, b AMR = 0.83, b AS = 0.85). This variation in scaling relationships, which occurred at different hierarchical levels and across time as the fish aged, may have implications for bioenergetics and ecosystem modelling and for individual ecological and physiological studies where body mass adjustments are made using specific scaling exponents to compare traits of interest between different‐sized individuals. The findings suggest that studies on fish population dynamics should apply metabolic scaling exponents that are significantly higher than those used in studies on individuals. However, the generality of this assertion should be confirmed by future work, as a few existing studies on endotherms (mainly birds) have reported shallower scaling relationships for basal metabolic rate between individuals as compared to within individuals. A plain language summary is available for this article.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it