How can I know if the yote population in my ranch is affecting deer population?

Last week I saw a doe with her two to three months offspring running as being chased by four or five yotes. I shot one of the coyotes as he stop to take a look at me by the fence but I did not know what happened with the doe or her little fawn.

That leave me with the question if the yotes population is growing and in need of more food. My ranch has always had a regular to abundant coyote population.