Betula platyphylla / Root biomass
Birch total root biomass, additive system (coarse + medium + fine), Jilin site
© harum.koh · CC BY-SA · iNaturalistAs printed (Eq. 7, Section 2.4)
In this library's units, ready to compute (kg)
Root biomass = exp(-0.9679 + 2.2547 * ln(D) - 1.1789 * ln(H) - 0.8561) + exp(-2.7028 + 2.2534 * ln(D) - 0.6586 * ln(H) - 0.7157) + exp(-3.7903 + 2.313 * ln(D) - 0.361 * ln(H) - 0.2382)D- Diameter at breast height (1.3 m), cm
H- Total tree height, m
Sum of the three additive root-class equations (Eq. 7, 21-23). Site: Jilin, S2 = 0 and S3 = 1. Table 5 prints the fine-root rows with the symbols of the coarse root; the order of the rows (Coarse, Medium, Fine) is used to assign them. The paper fits one model with site dummies (Liaoning when S2 = 1 and S3 = 0, Jilin when S2 = 0 and S3 = 1, Heilongjiang when S2 = 0 and S3 = 0); this file sets the dummies for one site. It is fitted on all 493 trees from the three sites (Heilongjiang 333, Jilin 26, Liaoning 134 per Table 1), so the site term is a shift on common slopes. The paper reports no back-transform correction factor for the log-normal error and none is applied. The paper reports only ten-fold cross-validation R2, not a fit R2, so none is given here. Roots were excavated and sieved into coarse (>5 mm), medium (2-5 mm) and fine (<2 mm) classes; the total includes all three.
doi:10.3390/f13050661 · Open access · copy we read
with a total of 493 sample trees
Min 3.40 4.50 0.10 0.02 0.02 0.14
Max 11.90 14.00 9.29 10.19 3.98 20.27
fc(D, H; βt) = exp(βc1 + βc2 ln DBH + βc3 ln HT + βcs2S2 + βcs3S3 + εc)
Coarse βc1 −0.9679 0.2008 0.0000; βc2 2.2547 0.1435 0.0000; βc3 −1.1789 0.1369 0.0000; βcs2 0.2733 0.0932 0.0034; βcs3 −0.8561 0.0943 0.0000
Medium βm1 −2.7028 0.1985 0.0000; βm2 2.2534 0.1356 0.0000; βm3 −0.6586 0.1282 0.0000; βms2 −0.3815 0.1287 0.0031; βms3 −0.7157 0.0746 0.0000
Fine βc1 −3.7903 0.2251 0.0000; βc2 2.313 0.1463 0.0000; βc3 −0.361 0.1446 0.0126; βcs2 −0.3346 0.1323 0.0116; βcs3 −0.2382 0.0572 0.0000
- Trees measured
- 493
- DBH range
- 3.4–11.9 cm
- Height range
- 4.5–14 m
- Method
- log-transformed (multiplicative error) nonlinear system with site dummies
- Where
- Jilin Province, Northeast China
- Last checked
- 2026-11-02
Shaded: the DBH range the model was fitted on. Other inputs held at the values above.
On every build, the library's form and the paper's own form (in its units) must both give these values within 1%.
| Inputs | Expected | We get | From |
|---|---|---|---|
| D = 8, H = 9.4 | 3.03 | 3.03 | Computed from the printed form hand-computed from the published form |
| D = 11, H = 13 | 4.9 | 4.9 | Computed from the printed form hand-computed from the published form |
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- Birch total root biomass, disaggregated model (Eq. 24), Heilongjiang site · Pan & Wang 2022 · DBH + Height
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- Birch total root biomass, additive system (coarse + medium + fine), Heilongjiang site · same paper · Root biomass
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