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Table 2 Best model formulations for estimating four forest attributes across four forest types using the total number of plots

From: Effect of sample size on the estimation of forest inventory attributes using airborne LiDAR data in large-scale subtropical areas

Forest type

Attribute

Model formulation

Chinese fir

Mean diameter at breast height (DBH) (cm)

\({DBH}_{\mathrm{Fir}}={a}_{0}hp{95}^{{a}_{1}}{CC}^{{a}_{2}}{LADcv}^{{a}_{3}}{Hcv}^{{a}_{4}}{dp50}^{{a}_{5}}\)

Mean stand height (H) (m)

\({H}_{\mathrm{Fir}}={a}_{0}hp{95}^{{a}_{1}}{CC}^{{a}_{2}}{LADcv}^{{a}_{3}}{Hstdev}^{{a}_{4}}{dp50}^{{a}_{5}}\)

Basal area (BA) (m2ha−1)

\({BA}_{\mathrm{Fir}}={a}_{0}hp{95}^{{a}_{1}}{CC}^{{a}_{2}}{LADmean}^{{a}_{3}}{Hcv}^{{a}_{4}}\)

Stand volume (VOL) (m3ha−1)

\({VOL}_{\mathrm{Fir}}={a}_{0}hp{95}^{{a}_{1}}{CC}^{{a}_{2}}{LADmean}^{{a}_{3}}{Hcv}^{{a}_{4}}\)

Masson pine

Mean diameter at breast height (DBH) (cm)

\({DBH}_{\mathrm{Pine}}={a}_{0}{Hmean}^{{a}_{1}}{CC}^{{a}_{2}}{LADmean}^{{a}_{3}}{Hcv}^{{a}_{4}}\)

Mean stand height (H) (m)

\({H}_{\mathrm{Pine}}={a}_{0}{Hmean}^{{a}_{1}}{CC}^{{a}_{2}}{VFPmean}^{{a}_{3}}{Hcv}^{{a}_{4}}\)

Basal area (BA) (m2ha−1)

\({BA}_{\mathrm{Pine}}={a}_{0}{hp95}^{{a}_{1}}{CC}^{{a}_{2}}{VFPmean}^{{a}_{3}}{Hcv}^{{a}_{4}}{dp75}^{{a}_{5}}\)

Stand volume (VOL) (m3ha−1)

\({VOL}_{\mathrm{Pine}}={a}_{0}{Hmean}^{{a}_{1}}{CC}^{{a}_{2}}{LADmean}^{{a}_{3}}{Hcv}^{{a}_{4}}{dp50}^{{a}_{5}}\)

Eucalyptus

Mean diameter at breast height (DBH) (cm)

\({DBH}_{\mathrm{Eucalyptus}}={a}_{0}{hp95}^{{a}_{1}}{CC}^{{a}_{2}}{LADstdev}^{{a}_{3}}{Hstdev}^{{a}_{4}}{dp75}^{{a}_{5}}\)

Mean stand height (H) (m)

\({H}_{\mathrm{Eucalyptus}}={a}_{0}{hp95}^{{a}_{1}}{CC}^{{a}_{2}}{VFPmean}^{{a}_{3}}{Hcv}^{{a}_{4}}{dp50}^{{a}_{5}}\)

Basal area (BA) (m2ha−1)

\({BA}_{\mathrm{Eucalyptus}}={a}_{0}{hp95}^{{a}_{1}}{CC}^{{a}_{2}}{VFPstdev}^{{a}_{3}}{Hstdev}^{{a}_{4}}{dp75}^{{a}_{5}}\)

Stand volume (VOL) (m3ha−1)

\({VOL}_{\mathrm{Eucalyptus}}={a}_{0}{hp95}^{{a}_{1}}{CC}^{{a}_{2}}{VFPcv}^{{a}_{3}}{Hcv}^{{a}_{4}}{dp75}^{{a}_{5}}\)

Broad-leaved

Mean diameter at breast height (DBH) (cm)

\({DBH}_{\mathrm{Broad}-\mathrm{leaved}}={a}_{0}{Hmean}^{{a}_{1}}{CC}^{{a}_{2}}{LADmean}^{{a}_{3}}\)

Mean stand height (H) (m)

\({H}_{\mathrm{Broad}-\mathrm{leaved}}={a}_{0}{Hmean}^{{a}_{1}}{CC}^{{a}_{2}}{VFPmean}^{{a}_{3}}\)

Basal area (BA) (m2ha−1)

\({BA}_{\mathrm{Broad}-\mathrm{leaved}}={a}_{0}{Hmean}^{{a}_{1}}{CC}^{{a}_{2}}{VFPstdev}^{{a}_{3}}\)

Stand volume (VOL) (m3ha−1)

\({VOL}_{\mathrm{Broad}-\mathrm{leaved}}={a}_{0}{Hmean}^{{a}_{1}}{CC}^{{a}_{2}}{VFPstdev}^{{a}_{3}}\)

  1. \({a}_{0}\), \({a}_{1}\), \({a}_{2}\),…, and \({a}_{5}\) are model parameters