Statistical Efficiency of Sampling Plot Size in Half-sib Progeny Test of Korean Pine (Pinus koraiensis S. et Z.)

잣나무 차대검정(次代檢定)에 있어서의 효율적(效率的)인 Plot Sampling에 관(關)한 연구(硏究)

Tree height at age 10 was used to estimate the statistical efficiencies of sampling size in the progeny test of Pinus koraiensis S. et Z. Experimental design was RCB design which consists of 25 half-sib families in each of three blocks. The number of families and blocks were fixed, therefore, the number of trees sampled per plot was the only factor that influences the environmental portion of the family mean height. Coefficient of variation, the estimate of the standard error of the family mean height, decreased with increase of sampling plot size, and became stable from 4-tree plot sampling (6.97%). The experimental error was significant from 7-tree sampling plot size. Nonlinear relationship (${\hat{Y}}=10.425e-^{0.073x}$ ; $R^2$=0.840) was found between the sampling plot size and the standard error of family mean height.

난괴법 3반복(反復)으로 배치(配置)한 잣나무 10년생(年生) 반형매차대검정림(半兄妹次代檢定林)에서 plot당(當) 임의(任意)로 2-10본(本)의 표본목(標本木)을 선정(選定)한 후(後), 분산분석(分散分析)을 통하여 가계평균(家系平均) 수고(樹高)의 오차(誤差)를 나타내는 C.V. 값을 각(各) sampling size 별(別)로 추정(推定), 비교(比較)하였다. plot당(當) 표본목수(標本木數)를 증가(增加)시킴에 따라 C.V.값은 점차 감소(減少)되었으며, plot당(當) 4본(本)부터 안정(安定)된 C.V. 값(6.97%)을 나타내었으나, plot당(當) 7본(本)부터는 실험오차(實驗誤差)가 증가(增加)됨을 알 수 있었다. 이들 두 변량간(變量間)에 ${\hat{Y}}=10.425e-^{0.073x}$ ($R^2$=0.840)의 관계식(關係式)을 추정(推定)할 수 있었다.