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optional arguments which include method ("by.node" or "by.branch" indicating whether to assume the rate varies as a function of the node state or the mean branch state); plot, a logical value indicating whether or not to plot a phenogram with the branches used for simulation of y after rescaling by the state of x; and logarithm, a logical value indicating whether or not simulate changes in the variance of Brownian evolution for y as an additive logarithm=FALSE or multiplicative function of x. The default is logarithm=FALSE.