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J Appl Physiol 87: 1317-1325, 1999;
8750-7587/99 $5.00
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Vol. 87, Issue 4, 1317-1325, October 1999

INVITED REVIEW
Modeling the influence of body size on VO2 peak: effects of model choice and body composition

Alan M. Batterham1, Paul M. Vanderburgh2, Matthew T. Mahar3, and Andrew S. Jackson4

1 School of Social Sciences, University of Teesside, Middlesbrough, TS1 3BA, United Kingdom; 2 Department of Health and Sport Science, University of Dayton, Dayton, Ohio 45469-1210; 3 Department of Exercise and Sport Science, East Carolina University, Greenville, North Carolina 27858; and 4 Department of Health and Human Performance, University of Houston, Houston, Texas 77204-5331

This study examined the bivariate relationship between peak oxygen uptake (VO2 peak; l/min) and body size in adult men (n = 1,314, age 17-66 yr), using both "simple" and "full" iterative nonlinear allometric models. The simple model was described by VO2 peak = Mb (or FFMb) exp(c SR-PA) exp(a + d age) epsilon  (where M is body mass in kg; FFM is fat-free mass in kg; SR-PA is self-reported physical activity; epsilon  is a multiplicative error term; and exp indicates natural antilogarithms). The full model was described by VO2 peak = Mb (or FFMb) exp(c SR-PA) exp(a + d age) + e (epsilon ), where e is a permitted Y-intercept term. The M exponent obtained from simple allometry was 0.65 [95% confidence interval (CI), 0.59-0.71], suggestive of a curvilinear relationship constrained to pass through the origin. This "zero Y-intercept" assumption was examined via the full allometric model, which revealed an M exponent of 1.00 (95% CI, 0.7-1.31), together with a positive Y-intercept term (e) of 1.13 (95% CI, 0.54-1.73). The FFM exponents were not significantly different from unity in either the simple or full allometric models. It appears that the curvilinearity of the simple allometric model (using total M) is fictitious and is due to the inappropriate forcing of the regression line through the origin. Utilizing FFM as the body-size variable revealed a linear relationship between body size and VO2 peak, irrespective of model choice. We conclude that the population mass exponent for VO2 peak is close to unity.

allometric scaling; nonlinear regression; log-linear modeling; body size; oxygen uptake


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