NancyLebovitz comments on Against the standard narrative of human sexual evolution - Less Wrong
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And this is not what we see! Please take note of the Hanson quote in my original.
If Malthus were wrong, we could expect to see any number of things that don't involve growth-overpopulation-crash cycles. For example, we might see slow and steady population growth with very irregular population crashes which correspond with major natural disasters (which are responsible for sudden, large, discontinuous declines in the available food supply). In this particular scenario, we would expect to see very few human fossils that show signs of malnutrition. Whereas if Malthus had been right, we would expect to see much more fluctuation in population levels, and therefore a proportionally high number of human fossils with signs of malnutrition, because deadly famines would be proportionally more common.
And whether or not JanetK thinks I am naive, archaeologists have not found very many malnourished human fossils. Furthermore, if Malthus had been right, we should expect to see most modern forager tribes having at least occasional difficulties getting enough to eat. We should likewise see heavy fluctuation of prey animal populations in the vicinity of human hunter-gatherers.
The Lotka-Volterra equation may do a wonderful job of explaining simple predator-prey relationships, but it assumes exponential growth of the prey population, which is exactly what I'm disputing. [ETA: I took a closer look at the Wikipedia page and noticed that the LV equation also assumes that "the prey population finds ample food at all times." Removing predators from this equation doesn't give you Malthus. It gives you infinite growth forever.]
Disease epidemics as we currently imagine them did not exist pre-agriculture. Small, widely-dispersed human populations can't support a sustainable population of bacteria or viruses. The rate of transmission is too low.
I've got a book somewhere (small trade paperback, dull silver cover[1], title might be Life) which claims that no one has ever gotten those pretty predator-prey equations to cycle nicely in the real world, not even with two species of micro-organisms in a test tube.
The Wiki page for the equation didn't seem to mention real-world examples.
I'll update with more detail if I find the book.
[1] It's a shame amazon doesn't have searches based on the way people really remember books.
The Wikipedia page does mention the wolf and moose populations in Isle Royale National Park as its sole real-world example. The paper it cites, though, doesn't seem to find the LV equation to be among the most useful available models, which is a pretty bad sign for its actual descriptive power.
With 3 species, the LK equation can become chaotic, so I wouldn't expect to be able to duplicate a real-world history even if the model were perfect.
Perhaps we could find a 2-species real-world LK case involving bacteria deep underground.
This source claims that some real life examples have actually done this correctly including the archetypal rabbit/lynx example.
Upvoted for your footnote :)