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Ecogeographic Rules & Climate Stress

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Abstractions about body-size and shape patterns across geography, evolutionary scaling rules, marine heatwaves, and coral bleaching.

7 abstractions in this family — domain-specific abstractions that sit near one another in structural-signature space (k-means over structural-signature embeddings). Each is shown with its short description.

  • Allen's Rule — Predict endotherm appendage proportions from climate via one thermoregulatory geometry — shorter, compact limbs and ears toward the cold to conserve heat; longer, vascularized ones toward the heat to radiate it.
  • Bergmann's Rule — The ecogeographic generalization that within a clade of endotherms, colder-climate populations tend to be larger, because the surface-to-volume ratio falls with body size (surface scales as the square, heat-producing volume as the cube), so larger bodies conserve heat.
  • Cope's Rule — The macroevolutionary generalization that animal lineages tend to increase in body size over geological time — a trend that may reflect active directional selection for bigness or passive diffusion away from a minimum-size floor, distinguishable only by the shape of the size distribution, not its mean.
  • Coral Bleaching — Read a whitening reef as the host coral's active, threshold-triggered expulsion of its energy-supplying algal symbionts — a dose-dependent rupture with a bounded reversibility window, not a mortality count.
  • Island Rule — The evolutionary generalization that terrestrial vertebrates on islands converge on an intermediate body size — large mainland lineages shrinking to insular dwarfism, small ones enlarging to island gigantism — as one tendency pulling from both sides toward a relocated selection optimum.
  • Marine Heatwave — Turn a noisy ocean-temperature record into countable events by flagging where daily sea-surface temperature stays above the 90th-percentile climatology for five-plus days, so cumulative thermal dose — not peak — predicts ecological cascade.
  • Rensch's Rule — The macroevolutionary regularity that sexual size dimorphism scales allometrically with body size across related species — the larger-on-smaller-sex slope exceeding 1.0 in male-larger clades and falling below 1.0 in female-larger ones.