That, to me, sounds like trying to force a fish to become stunted. And I would advise against it. As these fish are meant to be one of the apex predators in their naturally occurring habitats, and meant to grow to sizes much larger than 40", I would say this gar would be way outside of its full potential and possible health issues will probably arise.
I'm not even considering feeding him so little that health issues may arise.
That's just cruel, man. If you don't have the capacity to care for a fish, just don't get it, simple as that.
No cruel intentions, he will still be fed enough to be a healthy fish, I just won't be stuffing him up everyday like many fishkeeper.
I hate to sound like a dbag when I say this but I'll say it anyway. The human equivalent of what you just said is.. " Hmm, I wonder if I feed my kid the bare minimum and don't give him/her the space they need, whether they'l stay tiny or reach their full potential.."
It's not much of a experiment rather than common sense. Any living animal requires sustenance for the growth hormone to have an effect. Your experiment is basically " how much can you stunt a gator gar.."
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No, definitely not the human equivalent of this experiment. And no, you don't sound like a dbag, criticism is definitely not a bad thing, as I plan on keeping this fish happy, and not exactly underfed, per say, just fed enough to still grow and maintain its metabolism.
This is almost as bad as the kid who thinks it's OK to snag goldfish just because they are "tough" fish.
There is power feeding, and there's feedling a lot, and then there's a more natural diet - where the fish has a few days on, a few days off - just as in nature, but I completely agree with the kid analogy.
If we all fed our kids the bare minimum, we could try to start a generation of dwarves.
Get a poster of an Alligator Gar and put it on the wall next to your tank. Cheaper, and you don't have to feed it a thing, and best of all - if you want a small one - get a picture of a small one.

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Bare minimum was a poor choice of words for my part. Most fishkeepers feed their fish much more than many specimens are able to eat in the wild, few days off, few days on, that is exactly what I'm aiming for, a more natural/controlled diet. And given the two factors that the gar is in captivity and it is fed "a few days off, few days on", that should potentially decrease it's maximum size by some measure.
Comparing people to alligator gar is ridiculous, don't roast him for being curious, even if he is ethically wrong.
Don't purposely stunt your gar, I don't see why underfeeding wouldn't result to stunting, so your experiment is pointless.
You could consider what I'm aiming for stunting, but stunting won't be in any drastic measure, just not feeding it as much as it can possibly eat, everyday.
This could be considered as stunting, but will in no way be so drastic that it will cause health issues/starvation.
That was hardly "roasting", i was simply pointing it out and no, the comparison is not ridiculous. You're valuing the life of one living thing as more than that of another. That's the ridiculous part lol. I simply stated the easiest way of showcasing my point. Curiosity is also ok of course, if you do the research on the topic you are curious about.
No I would not consider this roasting at all, and I do accept your criticism. The main misunderstanding that is going on here is that I will not be underfeeding the fish, I will be feeding him enough to grow and keep his metabolism going strong. But given the two factors that it is a captive fish, and it won't be fed as much as possible, I would consider that this experiment has legitimate ground as it probably wont reach anywhere close to maximum size, and I have done my research.