mudhen,
I recall reading a summary of several studies, which concluded that at least 1/3 of the population of coyotes in a large area would have to be killed not just one year, but every year for several years, to significantly reduce coyote predation. This wasn't just because of increased reproduction, but if 1/3 were taken in a relatively small area, coyotes from surrounding areas would quickly move in. Have you seen any of that research?