### Abstract

We derived an allometric model of the height-diameter curve for even-aged pure stands, which was a modification of the earlier model proposed by Inoue (2000a). An individual-dependent allometric equation was used as the height-diameter curve. Using the discriminant analysis method, all trees composed of a stand were stratified into upper and lower trees. It was assumed that both relationships between mean tree height H_{m} and upper tree height H_{u} and between mean DBH D_{m} and mean DBH of upper trees D_{u} could be described by the time-dependent allometric power equations. The height-diameter curve showed an average relationship between tree height and DBH of a given stand at a given time, and hence it could be assumed that the height-diameter curve contained two points (D_{m}, H _{m}) and (D_{u}, H_{u}). With these assumptions, we derived an allometirc model of height-diameter curve, which allowed the coefficients of the curve to be estimated from mean tree height and mean DBH. The proposed model was fitted to Japanese cedar (Cryptomeria japonica D. Don) data. The error ratio of the allometric model ranged from 2.254% to 13.412% (mean = 6.785%), which was significantly smaller than that of the earlier model. When the error of mean tree height was ±1.0m or less, the effect of the error of mean tree height on the error ratio was comparatively small. This suggested that the error of ±1.0m in mean tree height could be accepted in the estimation of height-diameter curve using the allometric model. These features enable us to combine the allometric model with Hirata's vertical angle-count sampling or growth models. In conclusion, the allometric model would be one of the most practical and convenient approaches for estimating the height-diameter relationship of even-aged pure stands.

Original language | English |
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Pages (from-to) | 325-331 |

Number of pages | 7 |

Journal | Journal of Forest Research |

Volume | 9 |

Issue number | 4 |

DOIs | |

Publication status | Published - Nov 1 2004 |

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### All Science Journal Classification (ASJC) codes

- Forestry

### Cite this

*Journal of Forest Research*,

*9*(4), 325-331. https://doi.org/10.1007/s10310-004-0085-z

**Allometric model of the height-diameter curve for even-aged pure stands of Japanese cedar (Cryptomeria japonica).** / Inoue, Akio; Yoshida, Shigejiro.

Research output: Contribution to journal › Article

*Journal of Forest Research*, vol. 9, no. 4, pp. 325-331. https://doi.org/10.1007/s10310-004-0085-z

}

TY - JOUR

T1 - Allometric model of the height-diameter curve for even-aged pure stands of Japanese cedar (Cryptomeria japonica)

AU - Inoue, Akio

AU - Yoshida, Shigejiro

PY - 2004/11/1

Y1 - 2004/11/1

N2 - We derived an allometric model of the height-diameter curve for even-aged pure stands, which was a modification of the earlier model proposed by Inoue (2000a). An individual-dependent allometric equation was used as the height-diameter curve. Using the discriminant analysis method, all trees composed of a stand were stratified into upper and lower trees. It was assumed that both relationships between mean tree height Hm and upper tree height Hu and between mean DBH Dm and mean DBH of upper trees Du could be described by the time-dependent allometric power equations. The height-diameter curve showed an average relationship between tree height and DBH of a given stand at a given time, and hence it could be assumed that the height-diameter curve contained two points (Dm, H m) and (Du, Hu). With these assumptions, we derived an allometirc model of height-diameter curve, which allowed the coefficients of the curve to be estimated from mean tree height and mean DBH. The proposed model was fitted to Japanese cedar (Cryptomeria japonica D. Don) data. The error ratio of the allometric model ranged from 2.254% to 13.412% (mean = 6.785%), which was significantly smaller than that of the earlier model. When the error of mean tree height was ±1.0m or less, the effect of the error of mean tree height on the error ratio was comparatively small. This suggested that the error of ±1.0m in mean tree height could be accepted in the estimation of height-diameter curve using the allometric model. These features enable us to combine the allometric model with Hirata's vertical angle-count sampling or growth models. In conclusion, the allometric model would be one of the most practical and convenient approaches for estimating the height-diameter relationship of even-aged pure stands.

AB - We derived an allometric model of the height-diameter curve for even-aged pure stands, which was a modification of the earlier model proposed by Inoue (2000a). An individual-dependent allometric equation was used as the height-diameter curve. Using the discriminant analysis method, all trees composed of a stand were stratified into upper and lower trees. It was assumed that both relationships between mean tree height Hm and upper tree height Hu and between mean DBH Dm and mean DBH of upper trees Du could be described by the time-dependent allometric power equations. The height-diameter curve showed an average relationship between tree height and DBH of a given stand at a given time, and hence it could be assumed that the height-diameter curve contained two points (Dm, H m) and (Du, Hu). With these assumptions, we derived an allometirc model of height-diameter curve, which allowed the coefficients of the curve to be estimated from mean tree height and mean DBH. The proposed model was fitted to Japanese cedar (Cryptomeria japonica D. Don) data. The error ratio of the allometric model ranged from 2.254% to 13.412% (mean = 6.785%), which was significantly smaller than that of the earlier model. When the error of mean tree height was ±1.0m or less, the effect of the error of mean tree height on the error ratio was comparatively small. This suggested that the error of ±1.0m in mean tree height could be accepted in the estimation of height-diameter curve using the allometric model. These features enable us to combine the allometric model with Hirata's vertical angle-count sampling or growth models. In conclusion, the allometric model would be one of the most practical and convenient approaches for estimating the height-diameter relationship of even-aged pure stands.

UR - http://www.scopus.com/inward/record.url?scp=15144362188&partnerID=8YFLogxK

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U2 - 10.1007/s10310-004-0085-z

DO - 10.1007/s10310-004-0085-z

M3 - Article

AN - SCOPUS:15144362188

VL - 9

SP - 325

EP - 331

JO - Journal of Forest Research

JF - Journal of Forest Research

SN - 1341-6979

IS - 4

ER -