What have we accomplished?

PaulK will now explain the difference between neutral evolution and selective evolution using Markov chains. He will then show us how to write the correct transition matrix to include the effects of selection. But first, he's going to use the Jukes-Cantor model to show how he is directly related to bananas.

The models we have were produced by people far better informed than I. You could actually try to understand them instead of dismissing them because you don’t understand them.

Of course, you won't give us the explanation of how to include selection in the Jukes-Cantor model. You first have to understand how the Jukes-Cantor model works as written. And you don't. If you want to know how to rewrite the Jukes-Cantor model to include selection, you will have to read my next paper which you so kindly helped lift the writer's block I was having in writing the conclusion to that paper.

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RIP to the dead greats that made this place great. robinrohan, buz, razd, asgara

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RAZD is dead?

yes

Yes, he is gone. Please go to In Memoriam: RAZD and leave a message for his family.

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Of course, you won't give us the explanation of how to include selection in the Jukes-Cantor model. You first have to understand how the Jukes-Cantor model works as written. And you don't

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Oh, I think I know, but it wouldn’t be very sensible for reasons that should be obvious. But you won’t see them.

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And you don't. If you want to know how to rewrite the Jukes-Cantor model to include selection, you will have to read my next paper which you so kindly helped lift the writer's block I was having in writing the conclusion to that paper.

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If there is a paper I very much doubt that it will include any such thing. And if it is presented as a correction to the model it will doubtless be laughed at.

You fish to mammals aficionados really have wild imaginations. If you think you understand the Jukes-Cantor model, show us how to solve for the equilibrium time without assuming a Poisson distribution. You won't because you don't understand this math. I know how to do that and the math is easy. Any high school student can do the math if they passed an introductory algebra course, that is if you understand how to do the mathematics of Markov chains. And you don't. Do you know that MIT and Harvard lectures on the mathematics of Markov chains are available on YouTube? You should watch them and learn something about this math. You have a sickness PaulK. If you think that giving the correct explanation for the evolution of drug-resistance and the failure of cancer treatment should be laughed at, there is something wrong with your mind. Why is it so important to you to believe that fish can evolve into mammals when you can't correctly explain simple evolutionary experiments such as the Kishony and Lenski experiments?

Again you're not paying attention. Bananas and humans are distant cousins. There is no direct cousin-to-cousin line of descent.

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You fish to mammals aficionados really have wild imaginations.

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So you can’t see the obvious problems.

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you think you understand the Jukes-Cantor model, show us how to solve for the equilibrium time without assuming a Poisson distribution. You won't because you don't understand this math. I know how to do that and the math is easy.

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It’s funny then that you’re the one who keeps failing to understand. Or demonstrate any real mathematical ability.

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You have a sickness PaulK

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I think not.

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If you think that giving the correct explanation for the evolution of drug-resistance and the failure of cancer treatment should be laughed at, there is something wrong with your mind.

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I certainly don’t think that. That idea is a product of your vivid - and sick - imagination.Get help. You need it.

So, in your vivid - and sick - imagination, you think you understand the mathematics of the Jukes-Cantor model. The Jukes-Cantor model is a time-dependent problem so it must have some initial condition. Tell us what that initial condition is and whether it is a scalar, vector, or matrix.

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So, in your vivid - and sick - imagination, you think you understand the mathematics of the Jukes-Cantor model.

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I’ve proven that I understand it better than you, although that is a low bar, accomplished by reading a couple of web pages - both of which you’ve cited.

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The Jukes-Cantor model is a time-dependent problem so it must have some initial condition. Tell us what that initial condition is and whether it is a scalar, vector, or matrix.

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I really don’t have to jump through hoops for you.

You don't know! You don't understand the Jukes-Cantor model. You just like blowing smoke. But that's all right, you still helped me with my writer's block.

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You don't know! You don't understand the Jukes-Cantor model. You just like blowing smoke.

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If that was true I wouldn’t be so successful in pointing out your grievous errors.

Don't do it for me, do it for your fellow fish-to-mammals aficionados.The Jukes-Cantor model is a time-dependent problem so it must have some initial condition. Tell us what that initial condition is and whether it is a scalar, vector, or matrix.Jump through that hoop for your fellow fish-to-mammals aficionados. I don't need you to do that for me, I can answer that question. You can't. All you can do is blow smoke and very stinky smoke it is.