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The consequences of the variance-mean rescaling effect on effective population size

Pertoldi, C ; Bach, Lars LU ; Barker, J S F ; Lundberg, Per LU and Loeschcke, V (2007) In Oikos 116(5). p.769-774
Abstract
The effective population size (N-e), and the ratio between N-e and census population size (N) are often used as measures of population viability. We show that using the harmonic mean of population sizes over time - a common proxy for N-e- has some important evolutionary consequences and implications for conservation management. This stems from the fact that there is no unambiguous relationship between the arithmetic and harmonic means for populations fluctuating in size. As long as the variance of population size increases moderately with increasing arithmetic mean population size, the harmonic mean also increases. However, if the variance of population size increases more rapidly, which existing data often suggest, then the harmonic mean... (More)
The effective population size (N-e), and the ratio between N-e and census population size (N) are often used as measures of population viability. We show that using the harmonic mean of population sizes over time - a common proxy for N-e- has some important evolutionary consequences and implications for conservation management. This stems from the fact that there is no unambiguous relationship between the arithmetic and harmonic means for populations fluctuating in size. As long as the variance of population size increases moderately with increasing arithmetic mean population size, the harmonic mean also increases. However, if the variance of population size increases more rapidly, which existing data often suggest, then the harmonic mean may actually decrease with increasing arithmetic mean. Thus maximizing N may not maximize N-e,N- but could instead lower the adaptive potential and hence limit the evolutionary response to environmental change. Large census size has the clear advantage of lowering demographic stochasticity, and hence extinction risk, and under certain conditions large census size also minimizes the loss of genetic variation. Consequently, maximising census size has served as a useful dogma in ecology, genetics and conservation. Nonetheless, due to the intricate relationships among N-e, population viability and the properties of population fluctuations, we suggest that this dogma should be taken only as a rule of thumb. (Less)
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author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Oikos
volume
116
issue
5
pages
769 - 774
publisher
Wiley-Blackwell
external identifiers
  • wos:000245814500006
  • scopus:34247394691
ISSN
1600-0706
DOI
10.1111/j.0030-1299.2007.15672.x
language
English
LU publication?
yes
id
396738c0-178e-4c01-80b8-501f599963b9 (old id 168665)
date added to LUP
2016-04-01 11:45:49
date last changed
2022-01-26 17:51:12
@article{396738c0-178e-4c01-80b8-501f599963b9,
  abstract     = {{The effective population size (N-e), and the ratio between N-e and census population size (N) are often used as measures of population viability. We show that using the harmonic mean of population sizes over time - a common proxy for N-e- has some important evolutionary consequences and implications for conservation management. This stems from the fact that there is no unambiguous relationship between the arithmetic and harmonic means for populations fluctuating in size. As long as the variance of population size increases moderately with increasing arithmetic mean population size, the harmonic mean also increases. However, if the variance of population size increases more rapidly, which existing data often suggest, then the harmonic mean may actually decrease with increasing arithmetic mean. Thus maximizing N may not maximize N-e,N- but could instead lower the adaptive potential and hence limit the evolutionary response to environmental change. Large census size has the clear advantage of lowering demographic stochasticity, and hence extinction risk, and under certain conditions large census size also minimizes the loss of genetic variation. Consequently, maximising census size has served as a useful dogma in ecology, genetics and conservation. Nonetheless, due to the intricate relationships among N-e, population viability and the properties of population fluctuations, we suggest that this dogma should be taken only as a rule of thumb.}},
  author       = {{Pertoldi, C and Bach, Lars and Barker, J S F and Lundberg, Per and Loeschcke, V}},
  issn         = {{1600-0706}},
  language     = {{eng}},
  number       = {{5}},
  pages        = {{769--774}},
  publisher    = {{Wiley-Blackwell}},
  series       = {{Oikos}},
  title        = {{The consequences of the variance-mean rescaling effect on effective population size}},
  url          = {{http://dx.doi.org/10.1111/j.0030-1299.2007.15672.x}},
  doi          = {{10.1111/j.0030-1299.2007.15672.x}},
  volume       = {{116}},
  year         = {{2007}},
}