Given what we know, we can confirm that the most intense competition would most likely occur between white-tailed deer and other white-tailed deer.
Why would white-tailed deer most likely compete with themselves?
This has to do with food sources. Of the many animals listed, none of them share a food source with the white-tailed deer. The deer are herbivores that feed primarily on grass and shrubs. The bears and coyotes are carnivores that feed on other animals such as the deer themselves. While squirrels are herbivores but do not compete with the deer for food.
Therefore, given that other deer are the only animals listed that are after the same food source, we can confirm that the most intense competition would most likely occur between white-tailed deer and other white-tailed deer.
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