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A size-dependent equation for mortality rate (M(w)) of fish-sized particles is derived using preexisting theory on the distribution of biomass as a function of size (w) in the pelagic marine ecosystem, assuming that mortality is primarily due to predation. The equation M(w) = ckw −x (where c, k, and x are parameters) yields estimates that are close to observed mortality rates.
Peterson et al. (Sun,) studied this question.