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But problem number one with whale studies is actually collecting good data on whales. Population level studies with whales are difficult given their nature of making themselves unavailable to humans for long stretches of the day. Just getting accurate data for individuals is hard, getting enough accurate information on enough individuals to inform average birth or death rates, or lambda for entire populations, may not be useful to inform a rough sense of trophic cascade because by the time we had that data we'd already know.
Problem number two is the nature of the prey base given the particular species of whale you are studying. What if you are looking at a few species with greatly diminished global populations, but which share a fairly stable prey base? I doubt you'd see much of a trend there. Also, if you were looking at species that are much closer to historic numbers, but which are also very plastic in prey selection, you might not see a trend in those whales until it was very obvious something was wrong in myriad other clades.
Either way, it would be about as difficult to look to whales as canaries as it would be to look to various adult fish, turtle, or seal populations as the same. There is no control, there isn't even a good estimate of populations today relative to historic populations pre-exploitation. That isn't even accounting for changes in oceanic pH, nutrient availability (overall quantity and source), surface temperature, average solar irradiance, etc. They do point that out in the paper...perhaps it would be better to conduct time series collections of phytoplankton and zooplankton, and thoroughly categorize the species captured, to see if overall primary production rates are changing, to see if overall zooplankton biomass tracks such changes in primary production, and to see whether proportions of fish, arthropods, and cnidarians composing the zooplankton are changing.
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