Extended Data Fig. 5: Maps of the Metabolic Index, temperature and \({{\boldsymbol{p}}}_{{{\rm{O}}}_{2}}\) compared to species distributions.
a–f, Mapped variables are averaged from the surface to the 95th percentile depth of each species. a–c, P. borealis (0–450 m). d–f, Stenobrachius leucopsarus (0–225 m). A single lower limit of Φ (Φcrit; black lines) is consistent with habitat range limits found in the Pacific and Atlantic Oceans for P. borealis (a) and different sides of the Pacific Ocean for S. leucopsarus (d). By contrast, no single maximum temperature or minimum \({p}_{{{\rm{O}}}_{2}}\) is consistent with each species’ range limit across those regions. The increased skill of Φcrit is encapsulated by the higher F1-scores of Φ relative to temperature (b, e) or to \({p}_{{{\rm{O}}}_{2}}\) (c, f) (in parentheses, respectively) from the full four-dimensional species distribution. Occurrence data for each species are shown (blue dots).
