Hmmm I think in the UK & the majority of nations where humans have come to dominate the landscape then it comes down to human responsibility.
Certainly in the UK there is no part of the landscape that doesn't reflect human management, whether for good or for ill.
Within an island there are limited resources and as humans have removed all of the large predators it is now human responsibility to maintain a balance - whether this be cutting down the silver birches and alders that start drying up the wetlands or culling deer. Just as nature is a tooth & claw struggle so does human management of the environment necessitate killing.
We can't turn back the clock to some romantically imagined prehistorical idyll nor does the environment balance itself without a painful struggle between species.
Human's started off as hunter-gatherers; one could argue it's our nature and the clue is in the name; hunter.
In this respect human's needs to accept deep ecological responsibility for the environment.
This all means culling, but only where necessary and in as clean a way as possible. I guess this is the difference - culling is necessary killing.
The tricky bit is understanding the balance.
I know it's a contentious philosophy but as is currently happening with the oceans I think it's too easy for Man to deny responsibility for managing the environment.