I live next to you and drill 2,000 feet down and start pulling up oil. What is the extent of that oil reserve relative to my land?
What functional purpose does oil in the ground provide? Is it like the earth's hydraulic fluid? If I really wanted to preserve that resource, I'd put up wells on my land, and suck the reserve dry before you could, then store the oil.
I pull water from an aquifer accessed from my land, which is next to yours.
So, what are you planning on doing with that water? Going to be irrigating crops? Back into the aquifer. Drinking it? Eventually, back into the aquifer. Washing your house? Back into the aquifer. Honestly, the only thing you could be doing which will actually deplete the aquifer is pump/truck it elsewhere, and it's usually more efficient to get water where you are. So, a very rare case.
I go out onto the deep blue sea and fish.
Not my fish. Not your fish. Nobody's fish.
A river runs through my backyard and yours, and I fish that river.
Unless you're putting a net across the river, your fishing would have a hard time affecting me.
The short term profit derived from cutting down the rain forest on my property which is next to yours allows me to live a great life, since I have nobody to pass on my inheritance to. However, the act of cutting down that rain forest has created edge effects at our common property line, which has a deleterious effect on the ecosystem of your property.
Ah! A reasonably plausible scenario! At last! The solution for this, and indeed any negative effects from the other scenarios, is Arbitration or Mediation. You have caused me damage. I can (and will) sue for damages. The cost of damages should out-weigh the benefit of harvesting irresponsibly (versus responsibly), causing you a net loss from your dickish behavior.