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Calculation and Miscalculation of the Allometric Equation as a Model in Biological Data
Abstract
The allometric equation Y = βXα is widely used as a regression model in biology. The common procedure for fitting this model by the method of least squares involves the logarithmic transformation of both variables: log Y = log β + α log X. This transformation procedure results in a least squares solution which only approximates β and α and often the approximation is a poor one. That erroneous conclusions may arise from the use of the logarithmic transformation is demonstrated with an example, and a preferred procedure is recommended.
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A re-examination of the relation between standard metabolic rate and body weight in birds
Lasiewski, R. C., & Dawson, W. R. (1967) · The Condor · doi:10.2307/1366368 · Cited by 816
Cited by
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Connor, E. F., & McCoy, E. D. (1979) · The American Naturalist · doi:10.1086/283438 · Cited by 2,313
Ricker, W. E. (1979) · Fish Physiology · doi:10.1016/s1546-5098(08)60034-5 · Cited by 1,303
Geographic Size Variation in Birds and Its Relationship to Climate
James, F. C. (1970) · Ecology · doi:10.2307/1935374 · Cited by 872
The Ecology Of Indeterminate Growth In Animals
Sebens, K. (1987) · Annual Review of Ecology and Systematics · doi:10.1146/annurev.ecolsys.18.1.371 · Cited by 554
Campione, N. E., & Evans, D. C. (2012) · BMC Biology · doi:10.1186/1741-7007-10-60 · Cited by 475
Metadata
- Authors
- Zar, J. H.
- Venue
- BioScience
- Publisher
- Oxford University Press (OUP)
- Published
- 1968-12
- Volume
- 18
- Issue
- 12
- Pages
- 1118-1120
- ISSN
- 0006-3568 (ISSN-L)
- 1525-3244
- OpenAlex
- W2084536172
- Cited by
- 197
- References
- 1
- FWCI
- 5.94
- Type
- journal article
- Language
- en
- Open access
- closed
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