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- W596513993 abstract "I proposed two new theoretical methods for estimating the crown closure through line sampling. These are an application of Masuyama's method for estimating an area based on a line sampling unit, using integral geometry. The first method is as follows: First, we establish a sample line of fixed length L in the stand, on the assumption that the crown projection area of all trees is included in an area of the stand T. Next, we define a continuous variable lj which takes the value of that part of the length of the sample line which is included within the crown projection area of the j-th trees sj. Then, its expectation is: E(lj)=Lsj /T. This holds true for the N trees: E(ΣNj=1lj)=LΣNj=1sj /T. Dividing L into the sum of expectations of lj (L≠0), we obtain: E(ΣNj=1lj) /L=ΣNj=1sj /T. ΣNj=1lj /L is an unbiased estimator of crown closure. The second method is as follows: A sample line is established as in the first method, and a uniform random number is selected within the length of the line L. Next, a discrete variable φj is defined which takes the value 1 if the value of the random number is smaller than lj, otherwise zero. Then, its expectation is: E(φj)=sj /T. This holds true for the N trees: E(ΣNj=1φj)=ΣNj=1sj /T. ΣNj=1φj is also an unbiased estimator of crown closure." @default.
- W596513993 created "2016-06-24" @default.
- W596513993 creator A5089625814 @default.
- W596513993 date "1999-01-01" @default.
- W596513993 modified "2023-10-18" @default.
- W596513993 title "Estimation of Crown Closure through Line Sampling" @default.
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- W596513993 doi "https://doi.org/10.20659/jfp.5.1_35" @default.
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