. 2021 Apr 29;11:9254. doi: 10.1038/s41598-021-88775-7

Table 2.

Equations used in analyses of data.

No.	Equation	References
1	$A G B (k g) = (0.0673 \times {(ρ D^{2} H)}^{0.976})$	⁷⁴
2	AGB (kg) = 4.5 + (7.7 × H)	⁷⁹
3	AGB (kg) = 10 + 6.4 H	⁸⁰
4	AGB (kg) = − 3.956 × H² + (55.247 × H) − 2.0342	⁸¹
5	Biomass C (Mg ha⁻¹) = Biomass (dry mass, Mg ha⁻¹) × 0.5 Mg C	⁸²
6	$M a r g a l e f r i c h n e s s i n d e x = \frac{(N - 1)}{ln (n)}$	⁸³
7	Shannon–Wiener index, $H = \sum pi \times ln (p i)$	⁸⁴
8	Tree density (tree ha⁻¹) = n/A
9	Basal area, BA (m² tree⁻¹) = ${\frac{π (D \times 0.01)}{4}}^{2}$	⁸⁵
10	Basal area (m² ha⁻¹) $= \frac{Σ B A}{A r e a o f e a c h h o m e s t e a d f o r e s t (ha)}$	⁸⁵
11	Loss of ignition, LOI % = W1/W2 × 100	⁸⁶
12	Soil organic carbon, SOC % = 0.47 × (% LOI – 1.87)	⁸⁶
13	SOC stock (Mg ha⁻¹) = SOC % × BD × SD	⁸⁷
14	$D r y m a s s o f l i t t e r s a m p l e (D M) (g) = \frac{D r y m a s s o f s u b s a m p l e}{F r e s h m a s s o f s u b s a m p l e} \times F r e s h m a s s o f t h e s a m p l e$	⁸⁸
15	$L i t t e r d r y m a s s p e r u n i t a r e a (M g h a^{- 1}) = \frac{D M (g)}{S a m p l i n g f r a m e a r e a (c m^{2})} \times 100$	⁸⁸

AGB (kg) is above-ground biomass, ρ wood density (g cm⁻³), D is tree DBH (cm), H tree height (m), N the total number of species, n the total number of individuals of all species, pi is the ratio of S to n, where, S denotes individuals of each species in a homestead forest, A an area of the homestead forest (ha), W₁ is the loss in mass (g), W₂ mass of oven-dried soil (g), BD bulk density of soil (g cm⁻³), SD soil depth (cm).