![]() ![]() We can then add these evolutionary changes together to obtain character states at every node and tip of the tree. For each branch on the tree, we can draw from a normal distribution (for a single trait) or a multivariate normal distribution (for more than one trait) to determine the evolution that occurs on that branch. ![]() With probability one, the Brownian path is not di erentiable at any point. The paths of Brownian motion are continuous functions, but they are rather rough.
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