The authors of a controversial theory about the scaling of metabolic rate are demanding the retraction of a paper that criticized their work in a letter published in the November 1 issue of the Journal of Experimental Biology.
The theory, proposed by Geoffrey West and collaborators a decade ago, explains how basal metabolic rate and other physiological features vary with body size. In 2005, West, currently at the Santa Fe Institute, published an invited review in JEB detailing recent advances in the field. In response, José Guilherme Chaui-Berlinck of the Universidade de São Paulo last year published a paper in the journal questioning both the empirical support for the model and its mathematical derivation.
But according to West and his colleagues, Chaui-Berlinck's conclusion was based on a mistranscription of one of their equations and an error in his calculus. "He made a pretty fundamental mistake, and we were surprised it got through the reviewing process," Brian Enquist of the University of Arizona, the corresponding author of the JEB letter, told The Scientist.
Enquist also blamed the editorial process, claiming that none of his collaborators, who are intimately familiar with their scaling model, reviewed the paper. Also, he said, "If someone accuses an author of basic mathematical mistakes, wouldn't you ask the authors to respond to or review the paper?"
JEB Editor-in-Chief Hans Hoppeler disputed this notion. "There is a lot of direct criticism that does not go to the author of the original paper. That is up to the editors to decide," he said. He added that Chaui-Berlinck's paper was thoroughly reviewed before publication.
Chaui-Berlinck conceded in his reply, also published in the November 1 issue, that he had made some mistakes, but told The Scientist, "The principal finding of my paper is still correct."
Outside researchers are still unsure what this latest dispute means for the field. In an Email, ecologist Helene Müller-Landau at the University of Minnesota wrote, "I suspect that West, Enquist et al. will continue repeating their central arguments and others will continue repeating the same central critiques, for years to come, until the weight of evidence finally leads one or the other to win out."
Hoppeler said the journal has no plans to retract the original paper, and has never retracted a paper under his tenure, and he would only consider doing so if it contained fraudulent data. He said this case is a difference of opinion, which is why the journal published the unedited correspondence of both authors. "That fulfills the criteria for scientific publishing," he said, "and if anybody is unable to make a judgment now he can consult a biologist or statistician."
Brendan Borrell
mail@the-scientist.com
Links within this article:
B. Grant, "The powers that might be," The Scientist, March 1, 2007.
http://www.the-scientist.com/2007/3/1/42/1/
V.M. Savage et al., "Comment on 'A critical understanding of the fractal model of metabolic scaling,'" J Exp Biol, 210: 3873-3874, 2007.
http://www.the-scientist.com/pubmed/17951428
G.B. West et al., "A general model for the origin of allometric scaling laws in biology," Science, 276,122 -126, 1997.
http://www.the-scientist.com/pubmed/9082983
S. Bunk, "Do energy transport systems shape organisms?" The Scientist, December 7, 1998.
http://www.the-scientist.com/article/display/18316/
G.B. West and J.H. Brown, "The origin of allometric scaling laws in biology from genomes to ecosystems: towards a quantitative unifying theory of biological structure and organization," J. Exp. Biol. 208: 1575-1592, 2005.
http://www.the-scientist.com/pubmed/15855389
M.L. Phillips, "Study challenges metabolic scaling law," The Scientist, January 26, 2006.
http://www.the-scientist.com/news/display/23012/
J.G. Chaui-Berlinck, "A critical understanding of the fractal model of metabolic scaling," J. Exp. Biol. 209,3045 -3054, 2006.
http://www.the-scientist.com/pubmed/16888053

[Comment posted 2008-07-16 00:39:58]
to body mass independently of external
circumstances such as food source
availability, is totally preposterous.
The only way this bit of Santa Fe
Institute fluff can survive critical
examination is by evasion of the need
to specify whether thermogenesis is
part of metabolism, and by continuing
lack of measurement techniques to
determine in vivo metabolic rate
independently of the claims of West,
Brown, Savage, et al.
The favored account, to the extent that
it relies upon fractality, is entirely
unsupported by the mathematics of
Kleiber. The only way Kleiber works is
if a term for metabolic efficiency is
added to the exponent such that the
exponent becomes (4ME-1)/4ME. This
exponent then reflects the degree to
which energy from external food sources
is available to be captured. The
exponent then becomes 3/4 when ME is
100%, something that doesn't happen in
nature. When the exponent is 2/3, ME
is 89% - still a highly unlikely figure
unless one were to include thermo-
genesis as part of metabolism.
ME is a ratio of amperes of reduction
to amperes of oxidation. It does not
include thermogenesis, but is measured
against it. A graph of the equation
then has ME on the X axis, metabolic
rate on the Y axis, and a different
curve for each biomass. The equation
clearly indicates that ME is far lower
than thought, and varies between 17 and
50%.
Metabolic rate then has units in watts,
and is essentially the recharge rate of
the covalent bonds of biomass. ME is
determined by the organism's success at
finding food, and the ME of the
organism is the ME of its cells. The
longevity of the biomass is directly
related to its recharge rate, and the
equation shows that for things with an
average ME over 25%, the organism lives
longer than any of its cells.
The numbers also show that BMR is not
affected by the mass of the organism,
but is instead a function of the ME of
the organism. At under 25% ME the
individual cell has a higher metabolic
rate than the organism for all biomass.
This account is not fathomable to the
quarter power scalers like Savage who
claim that not only is the field meta-
bolic rate of the organism the product
of average BMR and number of cells, but
also the longevity of the organism is
mysteriously related to metabolic rate
so that 100 gram birds and 100 gram
mice have vastly different life spans
despite having the same gram mass. In
fact the mystery is cleared up if the
ME of the mouse is 20% and that of the
bird is 30%.
But none of this is fathomable to the
quarter power scalers who prattle on
about the universality of the equation
they mishandle so badly, so badly, in
fact that these scalers have yet to
make any testable deductive inferences.
In fact they can't because for them
metabolic rate remains a mysterious
thing related to heat energy,
vascularity, and respiration, and does
not include anaerobic protein synthesis
and glycogenesis.
It's time for the quarter power scalers
to throw in the towel. So far their
ideas have led only to the continued
publication of inconsequential papers.
[Comment posted 2007-11-09 10:10:00]