I assume you meant "selecting against small fish" here right?
I think we're discussing at cross purposes here. I wrote:
You can't select for increasing individual size by selecting against large fish.
Select against large fish, and you get small fish. You can
definitely select for large fish size by selecting against small fish. Or was that a typo?
I never claimed an increase in size of the individuals. I meant the average size of the current stock would increase by killing off the smaller fish, and through this selection process, the average size of the fish stocks in future generations would also increase.
Are you talking total catch or something? Generally speaking, economic gains in harvesting efficiency increase with larger fish, so that rendering time per pound of meat is higher for larger catch. Your comment above though appears to conflict with your earlier statement on this point:
What we could be doing is killing off smaller fish before they reproduce and the effect of this would be like an accelerated natural selection which would cause them to evolve quickly into large fish.
If selection (say, trawler selection) is against large fish, then across the board you're eliminating large fish. Some of those might be older, which might translate into poor growers per annum, but on average it's more likely you're going to get the ones that achieve large maximum size at equivalent ages to the small fish, which results in selection against large fish. This means declines in frequency for those alleles responsible for large size in this case. I don't think your model of 'killing off smaller fish before they reproduce' can thereby work. You wouldn't be killing off small fish before they reproduce, but rather selecting against larger fish, say according to trawler gear size. If you mean that you'd be killing off
larger fish and therefore that smaller fish would have more opportunity to grow larger - say by having relatively more food resources - then this would be possible, but as it's contingent on lower population density, it wouldn't be stable and presumably not heritable either, unless you're invoking epigenetic modification. This would come with a whole new set of stable population density states and so I don't know that it's a good idea
per se. Moreover, it would still presumably operate in favour of producing large fish at low density and being epigenetic, wouldn't be classically heritable.
Also, you are wrong in your agreement without qualification with the OP. There will be no selection if those large fish have already reproduced and passed on their "large" genes to the next generation
Yes and no. It would work specifically in the case of harvesting of post-breeding single-event breeders. Salmonids (Teleostei: Salmonidae) are a good example. Salmonids come in two flavours: iteroparous, in which individuals have repeated breeding events yearly, and semelparous, in which individuals experience only a single breeding event. In the case of semelparous species - a lot of Pacific salmon in this group, several members of
Oncorhynchus - they die immediately after breeding, hence the semelparous part. A few do survive and go back to sea, but not a substantial number against the huge number that die. You could do this, but why not just harvest all of them? They're not breeding again anyway. No need for a gradient of size selection at all. If you select
before breeding, you hit the same classical problem in which selecting out larger animals effaces alleles resulting in large size.
Now, say instead we're talking about the iteroparous or repeated-breeder condition. We can select those after breeding, and no worries, since they've already bred. Unfortunately, however, that's the point of iteroparity: coming back to the same river system to breed. If you select against large size at this point, you're reducing the number of large individuals that come back in succeeding generations. This is a net selection against alleles causing large size - not absolute, but certainly present. The problem becomes worse with additional seasons of reproduction, since the chance of being caught as a large fish increase, and the relative advantages of being small increase proportionately, or probably nearly proportionately. The big guys are gone, and you're looking increasingly attractive to the mates remaining, like closing time at East Side Mario's. So for that first generation, sure, it's no biggie - but it gets worse each time you go back for another round of breeding. Looking at it like a binary trait, the odds are stacked against big fish are probably 3:1 for two-generation iteropars, and 4:1 or more for three generations. I saw a presentation a while back from a West Coast salmonid guy about declines in breeding value for size as a consequence of trawling selection.