Stem Taper Equations for Six Major Tree Species in Korea

우리나라 主要 6樹種의 樹幹曲線式

Son, Yeong-Mo;Lee, Kyeong-Hak;Lee, Woo-Kyun;Kwon, Soon-Duk

  • Published : 2002.06.30

Abstract

Data were collected to develop equations for predicting stem taper for six major species in Korea.These species are Pinus densiflora, Pinus koraiensis, Pinus rigida, Larix kaempferi, Quercus acutissima, and Quercus mongotica. The models tested for choosing the best-fit equations were Max & Burkhart's model, Kozak's model, and Lee's model. Perfonnance of the equations in predicting stem diameter at a specific point along a stem was evaluated with fit and validation statistics and distribution of residuals on predicted values. In result, all three models behaved similarly and estimated diameter well at all points along the stem, although Kozak's model gave slightly better values of fit statistics. In plotting residuals against predicted diameter, Max & Burkhart's model showed underestimation in predicting small diameter and Lee's model did the same in predicting large diameter. On the other hand, Kozak's model was quite evenly distributed over the whole range of diameter. Based on the above analysis of three models in predicting stem taper, Kozak's model was chosen for the best-fit stem taper equations, and its parameter estimates were given for six species.

우리나라의 주요 수종인 강원지방소나무, 중부지방소나무, 잣나무, 리기다소나무, 낙엽송, 상수리나무, 신갈나무 등에 대한 개체목 樹幹曲線을 추정하기 위하여 본 연구가 수행되었으며, 분석을 위한 자료는 이들 생육지 전역에서 수집되어졌다. 최적 추정식을 선택하기 위하여 사용된 모델은 Max & Burkhart식, Kozak 식 및 Lee 식이다. 각 모델의 추정 이행능력을 검정하기 위하여 適合度指數 등의 검정통계량으로 각 모델의 추정정확도 검정을 실시하고, 實測値와 推定値간의 殘差分布圖를 도식화하여 전 추정영역에 있어 過大 및 過小추정을 검정하였다. 이들 분석결과 Kozak 식이 모든 검정통계량에 있어 가장 좋은 결과를 보여 주었으며, 직경추정치에 대한 잔차 분포에 있어서도 Max & Burkhart 식과 Lee 식이 특정구간에서 과대 또는 과소 추정치를 보이는데 반하여, Kozak식은 전 추정영역에 있어 고른 분포를 보임으로써 이 식을 이용, 주요 수종에 대한 최적 수간곡선추정식을 개발하였다.

Keywords

References

  1. Cao, Q.V., H.E. Barkhart and T.A. Max. 1980. Evaluation of two methods for cubic-volume prediction of loblolly pine to any merchantable limit. Forest Science 26 : 71-80
  2. Demaerschalk, J.P. and A. Kozak. 1977. The whole-bole system : a conditioned dual-equation system for precise prediction of tree profiles. Canadian Journal of Forest Research 7 : 488-497 https://doi.org/10.1139/x77-063
  3. Gordon, A. 1983. Comparison of compatible polynomial taper equations. New Zealand Journal of Forestry Science 13 : 146 -155
  4. Goulding, C.J and J.C. Murray. 1976. Polynomial taper equations that are compatible with tree volume equations. New Zealand Journal of Forestry Science 5 : 313-322
  5. Kim, J.S., W.K. Lee and W.H. Byun. 1994. Regional stem curve and volume function model of Pinus densiflora in Kangwon-Province. Journal of Korean Forestry Society 83(4) : 521-530
  6. Kozak, A. 1988. A variable-exponent taper equation. Canadian Journal of Forest Research 18 : 1363-1368 https://doi.org/10.1139/x88-213
  7. Lee, K.H., Y.M. Son, Y.G. Chung and W.K. Lee. 1999. A taper and volume prediction system for Pinus densiflora in Kangwon Province, Korea. Korea Forest Institute Journal of Forest Science 62 : 155-166
  8. Liu, C.L. 1980. Log volume estimation with spline approximation. Forest Science 26(3) : 361-369 https://doi.org/10.1093/forestscience/26.3.361
  9. Max, T.A. and H.E. Burkhart. 1976. Segmented polynomial regression applied to taper equations. Forest Science 22(3) : 283-289
  10. Parresol, B.R., J.E. Hotvedt and Q.V. Cao. 1987. A volume and taper prediction system for wald cypress. Canadian Journal of Forest Research 17 : 250-259 https://doi.org/10.1139/x87-042