In areas with less snow, or firmer snow, lynx may lose out in competition with bobcats and coyotes. Both are more aggressive than lynx. That's the hypothesis, but there's little hard science to describe the competition between these three predators. Research in Minnesota has not revealed competition between lynx and coyotes. Development in potential lynx habitat that may increase competition between species to the detriment of lynx.
Coyotes tend to be more numerous where farms are common.
Some biologists suspect that roads and trails may give coyotes and bobcats a way to hunt and scent-mark where otherwise the snow would be too deep for all but the lynx. It's an interesting hypothesis for which there is little published evidence. Trapping in Canada, which may have helped decimate lynx after their most recent boom in the Great Lakes region in the early 1970s. Since then, Ontario and Manitoba have further restricted trapping. Minnesota banned hunting and trapping of lynx in 1984.