I disagree re the notion that one should kill any animal that kills a human or scavenges through human rubbish. The sole reason for wild animals going through rubbish is because much of their traditional prey is killed off by humans and their environment is impoverished by continued human exploitation of the land. It would be better for humans to be killed off instead. That way, there'd be less threat to endangered species etc.
As for the issue of killing animals that kill humans, I always remember John Aspinall pointing out, more or less, that there are only something like 700 mountain gorillas compared to 7(now?) billion humans , which means that 1 mountain gorilla is worth 10 million human lives. So, on that basis, one shouldn't be allowed to hunt and kill 1 mountain gorilla until 10 million human lives have been lost as a result of mountain gorillas killing them. Same principle applies to other wild animals.
Here's a quotation from Aspinall:-
" “The sanctity of human life is the most dangerous sophistry ever propagated by philosophy and it is all too well rooted. Because if it means anything it means the in-sanctity of species which are not human.”
There is 1 good point in that that bear was killed for food. Killing for the purpose of getting a trophy would be another matter.
I suppose one reason why North Americans seem more blase about this issue than me is because you still have a decent network of large national parks in some areas(though you've still got problems with over-exploitation of land). In my own case, as a European, I am deeply ashamed of the fact that most wild areas(especially in the UK) have been largely wiped out, with only corner-pockets here and there still left(and much of that isn't even truly wild, being "managed" by humans. It's the case that people appreciate something far more when they realise it's virtually no longer available, which is why I'm rather militant on the issue and react badly to standard European news items of farmers or hunters killing endangered lynxes and bears or protesting against the reintroduction of species previously killed off(there are some fools who still protest against the proposals to reintroduce wolves and bears into the UK, for example).
Simply put, as long as human life is valued more than animal-life, we're going to see the eventual extinction of most species, other than a few domesticated ones.And that would be a shame.
The claim that we are reducing our population (if only in the future - currently, world human population is rising) doesn't really mean anything. As we've seen, humans have been becoming ever more adept at exploiting their environment, so that in 200 years time, say, 1 human being will be able to do far more damage to the environment than 1 human being of today, simply due to possessing more advanced technology etc.
*Sorry for preaching. I realise I probably sound very extremist on this issue, I just thought this is a point that had to be made.