Equations / Aboveground biomass
North American taxa group: Magnoliaceae (Table 5)
Aboveground biomassMagnoliaceae · MagnoliaceaeUnited StatesmixedRead from the original paper
Covers the whole family
Equation
As printed (Table 5 caption, p. 140)
ln(biomass) = β0 + β1 ln(diameter)
In this library's units, ready to compute (kg)
Aboveground biomass = exp(-2.5497 + 2.5011 * ln(D))D- Diameter at breast height (1.3 m), cm
Mostly yellow-poplar (Liriodendron tulipifera) plus magnolias. Median specific gravity of the group: 0.4. Diameter range is that of the pseudodata. R² is the published 'R²-statistic'.
Source
doi:10.1093/forestry/cpt053 · Open access · copy we read
Magnoliaceae 0.40 −2.5497 2.5011 114 15 dbh 3–65 0.83
Liriodendron tulipifera Tulip poplar 621 0.40 13 3 –65
we did not include a correction (Baskerville, 1972) for underestimation
- DBH range
- 3–65 cm
- R²
- 0.83
- Method
- Weighted regression of ln(biomass) on ln(dbh) fitted to 114 pseudodata points generated from 15 published equations; no back-transform correction
- Where
- United States (equations compiled from US and Canadian studies)
- Last checked
- 2026-11-01
Calculate
386.5
Aboveground biomass (kg)
181.6
Carbon (kg), ×0.47
666
CO₂e (kg), ×44/12
Shaded: the DBH range the model was fitted on. Other inputs held at the values above.
Checks this equation passes
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 = 30 | 386.5 | 386.5 | Computed from the printed form computed from the published form at dbh = 30 cm |
Related
- North American taxa group: Fagaceae, deciduous (Table 5) · same paper · Aboveground biomass
- North American taxa group: Hamamelidaceae (Table 5) · same paper · Aboveground biomass
- North American taxa group: Cornaceae/Ericaceae/Lauraceae/Platanaceae/Rosaceae/Ulmaceae (Table 5) · same paper · Aboveground biomass
- North American taxa group: Pinus ≥ 0.45 spg (Table 5) · same paper · Aboveground biomass
- North American taxa group: Salicaceae ≥ 0.35 spg (Table 5) · same paper · Aboveground biomass
- North American taxa group: Salicaceae < 0.35 spg (Table 5) · same paper · Aboveground biomass