### Abstract

A mathematical formula is given for the asymptotic trajectory of the complex roots of Lotka's equation. This formula is obtained by use of a Taylor expansion of the net fertility function in the neighborhood of the age beyond which fertility is zero. The approximate trajectory is compared with an exact trajectory obtained by use of a computational algorithm for finding complex roots suggested by Turner. For two examples, the agreement is surprisingly good.

Original language | English |
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Pages (from-to) | 123-127 |

Number of pages | 5 |

Journal | Theoretical Population Biology |

Volume | 9 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1976 |

Externally published | Yes |

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## Cite this

Coale, A. J., & McNeil, D. R. (1976). On the asymptotic trajectory of the roots of Lotka's equation.

*Theoretical Population Biology*,*9*(1), 123-127. https://doi.org/10.1016/0040-5809(76)90038-1