Ecological Archives M075-023-A4

Ernest Lo. 2005. Gaussian error propagation applied to ecological data: post-ice-storm-downed woody biomass. Ecological Monographs 75:451–466.

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.



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