Appendix D. Equations for the error budgets that describe a by-species partitioning and a by-variable partitioning, respectively.
The normalization of Eq. 5 to obtain the error budget for the total biomass in terms of the species biomasses is shown in Eq. D.1 below. This equation portrays a partitioning by species.
(D.1) |
The error budget for the species-specific biomasses in terms of the input variables (the regression parameters plus diameter measurements) is shown below in Eq. D.2. It is obtained by normalizing Eq. C.2.
(D.2) |
Note that each species-specific error in Eq. D.1 can be further grouped as in Eq. D.2 to obtain the total error partitioned by variable that was described by Eq. 9 in the text.