the oil evaporation is leaner and not an instant drop like upside down hockey stick graph, otherwise oil manufacturers would evaporate before use. And at the same time with the time you have oils degradation as additives level depleting, oxidation, thermal breakdown, contamination, sludge formation, viscosity changes.I'm late to this party... but the old school way of thinking can get you in trouble. The lowest wear rates will occur when the oil is used to its max service life, whatever condemnation point that may be. Unless you're only short-tripping while towing a max load, the answer is not 3k miles. If your worry is on oil degradation, you're focusing on the wrong thing.
There's several contributing factors to engine wear that start from the moment you first start the engine after an oil change. Much of this is mitigated by using better oil. The first consideration is volatility. The more volatile the oil, the more oil evaporation will occur and the more piston, ring, and valve deposits you will get. This process starts the first time the oil splashes on hot pistons and cylinder walls, not at 5k, 10k, or 25k miles. That virgin oil is going to burn off the light ends rather quickly, and this contributes to ring coking and valve deposits. Changing the oil more frequently than necessary can mean evaporating and burning these light ends more frequently for no positive trade-off.
Another factor is chemical stripping of anti-wear films by frequent bombardment of fresh detergents. While research into this is still in its infancy, there's evidence of anti-wear activity being lower for the first couple hundred miles or couple hours of run time after an oil change due to fresh detergents chemically stripping the anti-wear films deposited by the previous oil. The detergents are non-discriminatory in that they don't care what's deposited or what's acidic, whether good or bad, they're going to attack it all. It takes a little time for the fresh oil's anti-wear additives to replenish these losses. The result is a slightly higher wear rate for the first few hundred miles after an oil change. Changing the oil more frequently than necessary just puts the engine through this cycle more frequently for (again) no positive trade-off.
There's other factors, but I've got to wrap this up. Both situations above are mitigated by using better quality oil. Oils that are less volatile will contribute less to ring coking and deposits. Oils with certain esters will dissolve and remove deposits that do form. Oils with multiple anti-wear and FM additives working in synergy can mitigate the affects of chemical film stripping. These oils will also go longer intervals further minimizing these cycles.
I've seen just as many religiously maintained engines that are full of sludge as I have ones with poor maintenance. It's almost like the quality of oil matters...
I always use manufactures manual for severe driving conditions as with traffic and city drivings and bunch of short tripping how to not.