Minimizing Bias in Biomass Allometry: Model Selection and Log‐Transformation of Data

Nonlinear regression is increasingly used to develop allometric equations for forest biomass estimation (i.e., as opposed to the traditional approach of log‐transformation followed by linear regression). Most statistical software packages, however, assume additive errors by default, violating a key assumption of allometric theory and possibly producing spurious models. Here, we show that such models may bias stand‐level biomass estimates by up to 100 percent in young forests, and we present an alternative nonlinear fitting approach that conforms with allometric theory.

[1]  G. C. Packard,et al.  Model Selection and Logarithmic Transformation in Allometric Analysis , 2008, Physiological and Biochemical Zoology.

[2]  William L. Wagner,et al.  Manual of the Flowering Plants of Hawai'i , 1999 .

[3]  D. Lindenmayer,et al.  The forgotten stage of forest succession: early-successional ecosystems on forest sites , 2011 .

[4]  G. Baskerville Use of Logarithmic Regression in the Estimation of Plant Biomass , 1972 .

[5]  Karl J Niklas,et al.  A phyletic perspective on the allometry of plant biomass-partitioning patterns and functionally equivalent organ-categories. , 2006, The New phytologist.

[6]  S. Cordell,et al.  Effects of non-native grass invasion on aboveground carbon pools and tree population structure in a tropical dry forest of Hawaii , 2006 .

[7]  J. Boone Kauffman,et al.  Allometric Models for Predicting Aboveground Biomass in Two Widespread Woody Plants in Hawaii , 2008 .

[8]  N. Draper,et al.  Applied Regression Analysis: Draper/Applied Regression Analysis , 1998 .

[9]  Shakhnoza S. Azimova,et al.  Rhamnus cathartica L. , 2012 .

[10]  R. Gunst Applied Regression Analysis , 1999, Technometrics.

[11]  R. F. Hughes,et al.  INVASION BY A N2-FIXING TREE ALTERS FUNCTION AND STRUCTURE IN WET LOWLAND FORESTS OF HAWAII , 2005 .

[12]  J. Mascaro,et al.  Rhamnus cathartica L. (Common Buckthorn) as an Ecosystem Dominant in Southern Wisconsin Forests , 2007 .

[13]  Roberta E. Martin,et al.  Invasive plants transform the three-dimensional structure of rain forests , 2008, Proceedings of the National Academy of Sciences.

[14]  H. Godwin Rhamnus Cathartica L. , 1943 .

[15]  J. Mascaro,et al.  Dominance by the introduced tree Rhamnus cathartica (common buckthorn) may limit aboveground carbon , 2011 .

[16]  A. Kerkhoff,et al.  Multiplicative by nature : Why logarithmic transformation is necessary in allometry , 2009 .

[17]  F. Fosberg,et al.  Vegetation of the Tropical Pacific Islands , 1997, Ecological Studies.

[18]  J. Chambers,et al.  Tree allometry and improved estimation of carbon stocks and balance in tropical forests , 2005, Oecologia.