Description Usage Arguments Details Value Author(s) References See Also Examples

Functions that fit density-dependent speciation rate models to branching times derived from phylogenetic data. DDX and DDL fit exponential and logistic variants of the density-dependent speciation rate model.

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`x` |
a numeric vector of branching times |

DDX models the speciation rate as a function of the number of extant lineages at any point in time, r(t) = r0 * (Nt \^ (-x)), where r0 is the initial speciation rate, Nt is the number of lineages at some time t, and x is a parameter controlling the magnitude of the rate change.

DDL models the speciation rate as r(t) = r0 * (1 - Nt / K), where r0 is the initial speciation rate, Nt is the number of extant lineages at some time t, and K is analogous to the 'carrying capacity' parameter of population ecology.

a list with the following components:

`LH ` |
The log-likelihood at the maximum |

`aic ` |
the Akaike Information Criterion |

`r1 ` |
the initial speciation rate |

`kparam ` |
the K parameter in the logistic density dependent model |

`xparam ` |
the x parameter in the density-dependent exponetial model |

Dan Rabosky drabosky@umich.edu

Nee, S., R. M. May, and P. H. Harvey. 1994b. The reconstructed evolutionary
process. *Philos. Trans. R. Soc. Lond. B* 344:305-311.

Nee, S., A. Mooers, and P. H. Harvey. 1992. Tempo and mode of evolution
revealed from molecular phylogenies. *Proc. Natl. Acad. Sci. USA* 89:8322-8326.

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