On the asymptotic trajectory of the roots of Lotka's equation

A. J. Coale; D. R. McNeil

doi:10.1016/0040-5809(76)90038-1

On the asymptotic trajectory of the roots of Lotka's equation

A. J. Coale^*, D. R. McNeil

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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
Pages (from-to)	123-127
Number of pages	5
Journal	Theoretical Population Biology
Volume	9
Issue number	1
DOIs	https://doi.org/10.1016/0040-5809(76)90038-1
Publication status	Published - 1976
Externally published	Yes

Access to Document

10.1016/0040-5809(76)90038-1

Cite this

@article{93686e1033954e9b9a95b39a701a5c0e,

title = "On the asymptotic trajectory of the roots of Lotka's equation",

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.",

author = "Coale, {A. J.} and McNeil, {D. R.}",

year = "1976",

doi = "10.1016/0040-5809(76)90038-1",

language = "English",

volume = "9",

pages = "123--127",

journal = "Theoretical Population Biology",

issn = "0040-5809",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - On the asymptotic trajectory of the roots of Lotka's equation

AU - Coale, A. J.

AU - McNeil, D. R.

PY - 1976

Y1 - 1976

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0016925432&partnerID=8YFLogxK

U2 - 10.1016/0040-5809(76)90038-1

DO - 10.1016/0040-5809(76)90038-1

M3 - Article

C2 - 1273791

AN - SCOPUS:0016925432

VL - 9

SP - 123

EP - 127

JO - Theoretical Population Biology

JF - Theoretical Population Biology

SN - 0040-5809

IS - 1

ER -

On the asymptotic trajectory of the roots of Lotka's equation

Abstract

Access to Document

Other files and links

Fingerprint

Cite this