How about we stick with humans get great enjoyment knowing large environmental habitats exist as our selfish act.
This is not usually the case. Take New Jersey, the most densely populated US state. There are bear problems in New Jersey. But since the 1970s, while the human population has increased 20%, the bear population has exploded from less than 100 to 4,000. This indicates that the bear problems are caused not by an increase in human population, but by an increase in bear population.
http://nj1015.com/510-nj-bears-killed-during-2015-hunt-offic...
Taking protectionism to the other extreme can easily get you to bear town. Monterey, California is infested with the most obnoxious deer population I have ever encountered.
http://www.osidenews.com/2015/03/01/area-attractions-blend-i...
That depends. They've vastly increased their range, it extended into western Massachusetts in the early '80s as I recall, and in my home state of Missouri you are more than welcome to kill as many as you can (and they're challenging to hunt):
http://huntfish.mdc.mo.gov/hunting-trapping/species/coyote/c...
Hours: Coyotes may be taken all year.
Except during the daylight hours from April 1 - 17, 2016.
Notes: Coyotes, except as otherwise provided in this section, may be taken by hunting, and pelts and carcasses may be possessed, transported, and sold in any numbers throughout the year.
Special method restrictions apply during spring turkey season....
We seriously have way too many of them.
I think the nasty taste of deer has more to do with their increasing numbers than anything else other than various extremes like you note in taking them (when I was in grade school, I think, my mother said NO MORE (MULE) DEER!!! and my father switched to more tasty elk and eventually very tasty moose (as long as you don't get a really old one)).
(Side note: mere words cannot express how happy I am to have been born, raised, and now retired to a part of SW Missouri where there are absolutely no bear (to even get a sighting you have to go 2-3 counties away).)
I get it -- it's a pain in the ass if you're a farmer and you lose animals. But the answer isn't to externalize that by supporting continued extirpation of top predators.
And yes, occasionally even a baby / teenager / adult gets killed by not being aware of their surroundings. Too bad. Think like a mountain.
I presume they've moved into Missouri and beyond mostly because they're filling an ecological niche we've emptied by removing species like wolves.
And I'm sorry, but I'm going to pick the side of humans every time, even though the result is messy. In either case, coyotes or wolves, it's critical to make them know their place and be scared of humans. Compare European stories about wolves facing unarmed with guns peasants to their relative historical unimportance in the US. For coyotes, see https://en.wikipedia.org/wiki/Coyote_attacks_on_humans And I can attest that in Missouri they stay furtive, if not for picture cams and evidence of their depredations, and their howling at night, we wouldn't particularly know they're here.
Whereas foxes are much more tolerated, if not enthusiastically supported by people who don't keep chickens, and aren't hardly as shy. A young pair in fact took up residence right in front of my mother's house.
What happens (happened?) between April 1 - 17?
So it turns out the question might actually be, what happens after April 17th? The 18th is the start of spring turkey season, so maybe this is a measure to get them a bit more complacent?
Except in Africa, where elephants are often an unmanageable menace to human communities.