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. 2026 Jul 10;26:1699. doi: 10.1186/s12870-026-09454-1

Table 2.

Equations used to estimate ecosystem N stocks, N fluxes, nitrogen use efficiency, and nitrogen strategy indices

No. Formula Variable Explanation
Formula 1 Inline graphic

 w: Biomass (kg);

 D: Denote diameter at breast height (cm);

 H: Tree height (m);

For stem biomass estimation, a = 0.0334 and b = 0.9171;

For branch biomass, a = 0.0028 and b = 0.9417;

For leaf biomass, a = 0.0050 and b = 0.7309;

For coarse root biomass, a = 0.0226 and b = 0.8520.

Formula 2 Inline graphic

Inline graphic: Stock of total nitrogen (t·ha− 1) or alkali-hydrolyzable nitrogen (t·ha− 1) in a specific soil layer;

 BD: Denotes soil bulk density (g·cm− 3) of the corresponding layer;

Inline graphic: Concentration of total nitrogen (g·kg− 1) or alkali-hydrolyzable nitrogen (mg·kg−¹) in that soil layer;

 Z: Thickness of the soil layer (cm);

 10: A conversion coefficient used for unit standardization.

Formula 3 Inline graphic

Inline graphic: Amount of nitrogen resorption from litter collected at the i-th sampling (t·ha− 1);

Inline graphic: Nitrogen concentration in the litterfall needles collected at that sampling (g·kg− 1);

Inline graphic: Nitrogen concentration in mature needles (g·kg− 1);

 MLCF: Correction factor for mass loss during leaf senescence; in this study, the average correction coefficient of 0.745 for conifer functional groups proposed by Vergutz et al. was adopted;Inline graphicLitterfall needle biomass collected at the i-th sampling (t·ha−¹).

Formula 4 Inline graphic    ANRA:Calculated as the sum of the nitrogen resorption(Inline graphic) from needles across all sampling events within one year (t·ha− 1).
Formula 5 Inline graphic

 NUE: Nitrogen use efficiency;Inline graphic: Annual increment in tree biomass (t·ha− 1);

Inline graphic: Annual increment in tree N stock (t·ha− 1).

Formula 6 Inline graphic

 NCC: Nitrogen cycling coefficient;

Inline graphic: Annual nitrogen return (t·ha− 1);

Inline graphic: Annual nitrogen uptake (t·ha− 1).

Formula 7 Inline graphic

 NUpE: Nitrogen uptake efficiency;

Inline graphic: Total soil nitrogen stock in the 0–30 cm soil layer (t·ha− 1).

Formula 8 Inline graphic

 SSNE: Nitrogen enrichment in topsoil;

Inline graphic: Nitrogen stock in the 0–1 cm topsoil (t·ha− 1);

Inline graphic: Nitrogen stock in the 0–10 cm soil layer (t·ha− 1).

Formula 9 Inline graphic

 SANP: Proportion available nitrogen in soil;

Inline graphic: Available soil nitrogen stock in the 0–30 cm profile (t·ha− 1).

Formula 10 Inline graphic

 FFNA: Accumulation of nitrogen in forest floor litter;

Inline graphic: Nitrogen stock of areal accumulated litter (t·ha− 1).

Formula 11 Inline graphic

 LTR: Turnover rate of forest floor litter;

 ALB: Annual litterfall biomass (t·ha− 1);

 FLB: Forest floor litter biomass (t·ha− 1).

Formula 12 Inline graphic

 INC: Internal nitrogen cycling;

Inline graphic: Nitrogen concentration in mature green needles during the growing season (g·kg− 1);

Inline graphic: Nitrogen concentration in freshly fallen needle litter (g·kg− 1).