That did not answer the question I posed and to which you posted that in response.
Possible limits? Yes, sure, there are possible limits. In fact I’m sure there ARE limits. What we want to know is how you determined what those limits are among multiple options.
I must repeat the question it seems: Do you mean to say no other amino acid could substitute for it at all without being lethal(instead of just having considerably lower relative fitness), and if so how do you know that?
There is a very large gap between the resulting information in bits and a number that might be achievable by known mechanisms.
I have no idea what that means or how it constitutes an answer to my question.
That’s also not an answer to the question I posed to you. Let me quote it again: Now the question is, are the amino acids we see as unchanging between many different species and which we therefore infer are “conserved” over long timescales, conserved because other amino acids in that place would be lethal to the organism, or do they merely have lower relative fitness? How do we tell the difference?
So, again, how do we tell the difference between those two options?
We need to splice out introns at a rate that allows protein production and that allows an animal to be built and sustained.
Sure. So how do we tell the difference between selected against because they had lower fitness, or because they’re lethal?
We already know you believe this. This is your conclusion just stated in different words. What I want to know is how you determine that is actually the case. How do you know that it is so “mission critical” lower fitness isn’t a possible option.
It works or it does not.
That would be true even if there was lower fitness variants. Those lower fitness variants would either work or they wouldn’t. No matter how fast I can ride my bike, it either moves or it doesn’t.
This is a strong candidate for most the preservation being caused by purifying selection.
I agree. But purifying selection against lethal, or just lower fitness substitutions? How do we tell the difference merely from conservation?
Yes, but that says nothing about whether it could be slightly worse at it and still support life.
There is no almost application here such as you might have in a stand alone enzyme with weak catalytic activity.
How do you know that?
Well by definition hills have slopes, that’s the crucial point. With respect to explaining conservation in terms of movement on a fitness landscape, moving downhill means having lower fitness, so here the steepness of the slope is analogous to the strength of selection. So we see relatively little diversity of sequences because that would imply movement down from the top of the hill.
You’re saying there’s no hill, it’s a sort of tiny spike with pretty much vertical walls. How do you know that is the case?
Describe how the sequence found the hill.
I don’t know and I don’t need to know to point out that your haven’t supported your claim that the mere size of sequence space tells us no hill exists.
Describe how the hill it found had a high level of preservation at the top.
It seems to me you’ve explained that yourself: Other sequences are selected against. Now the question is why they are selected against so strongly. Is it because they’re significantly lower fitness, or because they’re lethal?
Describe how the other proteins in gpuccio’s chart were able to find optimized hills. Describe why preservation in the chart was scaling with sequence length.
I don’t have to do ANY of that to show that you have failed to support your claims that the size of sequence space tells us how densely it is packed with functional sequences, or the extend to which different functions overlap in that space.
How well I can support a case for the evolutoinary origin of some protein is completely irrelevant here and it’s obvious you’re just trying to run away from supporting your claims. You seem to be stuck in this mistaken opinion that we need to prove the truth of some alternative to the one you already believe. That’s not how it works, nobody has to actually chose some position. The question is whether any position has good support, and in the argument we’re having right now we’re analyzing a claim you’ve made to see if you actually have any good reason for taking that position in the first place. Whether I can defend my own position, and whether I can persuade you of it, is besides the point.