Even in the actual video games, we as players will spend hours running through one patch of grass in search of that one Pokémon you just can't catch, when normally walking through that particular part of the region might take just three minutes. For a character to spend two weeks on a normally three-day because he heard there was a rare Pokémon there he really really wants to see or catch, as long as it is in-character for said character, does not sound unreasonable to me. This will work if we assume that Route = purely a video game and not bound by any logic or reality whatsoever. And really, in the game you still could find a rare Pokemon, as you say, depending on how lucky you are. What's more, "rare" Pokemon might be herd Pokemon - what would you do then?
Moving on, is that game example really the best one to make? Small routes made for game convenience can't really compare to ones people are actually walking, especially when the player character might have taken a lot longer crossing over that area. It's... a game, after all, no one is going to make a realistic route of length, but if we're looking at it from the standpoint that these are real routes - as they've been turned into - not stretches of land that are a few yards long, well... Yeah.
For example, there are about four times more male Eevees than there are female Eevees, which means that roughly for out of five times an Eevee mates, the Eevee would end up being the father That's not necessarily true, actually. The egg ratio applies each time it breeds, so it doesn't mean "Out of every five Eevee eggs, one will be female"; it means "every Eevee egg has a one in five chance to be female". You could still have five Eevee eggs hatch all female, it'd just be some kind of freak miracle that it happened. ... Which is the nerd in me talking, but really, that's what I'm saying.
This does not need to be as complicated as you're trying to make it sound. A cap, as suggested in this post, should be more than enough.
Getting to certain species around the globe and such: That's great, and for rare Pokemon, that works. But when we talk about common and even uncommon things, this is something ENTIRELY of our own creation, and I simply do not see the need to restrict ourselves as players as much as you and Hat seem to want to. As it was, Route's been really, really limited in terms of wild Pokemon, and I would hate to see that to get even worse, not better. If Route was "smaller" and people could travel faster, that's great, but if you're seriously expecting players to wait months to get a Totodile or something? Or maybe a year+ to get Hoenn/Sinnoh/certain Kanto Pokemon in the wild? That's just ridiculous.
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This will work if we assume that Route = purely a video game and not bound by any logic or reality whatsoever. And really, in the game you still could find a rare Pokemon, as you say, depending on how lucky you are. What's more, "rare" Pokemon might be herd Pokemon - what would you do then?
Moving on, is that game example really the best one to make? Small routes made for game convenience can't really compare to ones people are actually walking, especially when the player character might have taken a lot longer crossing over that area. It's... a game, after all, no one is going to make a realistic route of length, but if we're looking at it from the standpoint that these are real routes - as they've been turned into - not stretches of land that are a few yards long, well... Yeah.
For example, there are about four times more male Eevees than there are female Eevees, which means that roughly for out of five times an Eevee mates, the Eevee would end up being the father
That's not necessarily true, actually. The egg ratio applies each time it breeds, so it doesn't mean "Out of every five Eevee eggs, one will be female"; it means "every Eevee egg has a one in five chance to be female". You could still have five Eevee eggs hatch all female, it'd just be some kind of freak miracle that it happened. ... Which is the nerd in me talking, but really, that's what I'm saying.
This does not need to be as complicated as you're trying to make it sound. A cap, as suggested in this post, should be more than enough.
Getting to certain species around the globe and such:
That's great, and for rare Pokemon, that works. But when we talk about common and even uncommon things, this is something ENTIRELY of our own creation, and I simply do not see the need to restrict ourselves as players as much as you and Hat seem to want to. As it was, Route's been really, really limited in terms of wild Pokemon, and I would hate to see that to get even worse, not better. If Route was "smaller" and people could travel faster, that's great, but if you're seriously expecting players to wait months to get a Totodile or something? Or maybe a year+ to get Hoenn/Sinnoh/certain Kanto Pokemon in the wild? That's just ridiculous.