Research Article

Examination of the Effects of Curvature in Geometrical Space on Accuracy of Scaling Derived Projections of Plant Biomass Units: Applications to the Assessment of Average Leaf Biomass in Eelgrass Shoots

Table 2

Notation convention for curvature models in geometrical space. We include the biphasic and polynomial characterizations of the generalized allometric model of (3).GS stands for geometrical space, AS stands for arithmetical space, and CF means correction factor of retransformation bias of the regression error.

ā€‰Biphasic modelEq.Polynomial modelEq.

Basic form(B.11)(B.27)

Regression equation(8), (D.4)(B.32), (D.8)

Mean response GS(B.18)(B.33)

Back transformation AS(B.21)ā€‰(B.34)

Mean response ASā€‰
(B.22) ā€‰
(B.35)

CF Baskerville(B.22), (C.1)ā€‰(B.35), (C.1)

CF Duan(B.22), (C.2)ā€‰(B.35), (C.2)

CF Zeng and Tang(B.22), (C.3)ā€‰(B.35), (C.3)

CF n-partial sum(B.22), (C.4)(B.35), (C.4)