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電子經(jīng)緯儀測量立木材積誤差分析
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國家自然科學(xué)基金資助項(xiàng)目(41371001)


Error Analysis on Standing Tree Volume Measurement by Using Electronic Theodolites
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    摘要:

    以北京市楊樹立木材積實(shí)測數(shù)據(jù)作為檢核真值,按誤差傳播定律對電子經(jīng)緯儀測樹誤差進(jìn)行分析,,并依據(jù)我國電子經(jīng)緯儀精度劃分的Ⅰ(DJ-1),、Ⅱ(DJ-2)、Ⅲ(DJ-6)和Ⅳ(DJ-15)4個等級,,計算該方法測量樹高和材積的誤差和2倍中誤差的極限誤差,,分析不同精度電子經(jīng)緯儀測樹的差異性和適應(yīng)性,。結(jié)果表明:由于誤差的傳播和累積,同一精度電子經(jīng)緯儀測量材積的誤差大于樹高,。同一精度電子經(jīng)緯儀測量不同規(guī)格樣木時,,誤差會隨著樹木大小的變化而略有差異。隨著電子經(jīng)緯儀測角標(biāo)準(zhǔn)偏差的變大,,測樹的誤差也會變大,。電子經(jīng)緯儀標(biāo)準(zhǔn)偏差為±0.5″時,測量樹高和材積的中誤差分別為±6.5500×10-2m和±1.474×10-3m3,,相對誤差分別為0.44%和0.73%,。電子經(jīng)緯儀標(biāo)準(zhǔn)偏差為±15.0″時,測量樹高和材積的中誤差分別為±8.9275×10-2m和±4.385×10-3m3,,相對誤差分別為0.60%和2.14%,。說明我國現(xiàn)有的Ⅰ~Ⅳ級電子經(jīng)緯儀測樹結(jié)果均符合相對誤差不超過3%~5%的精度要求,,可以滿足不同林業(yè)調(diào)查工作的需要。

    Abstract:

    In traditional forestry works, the compilation of volume tables by cutting down trees and using analytic timber volume estimations is faced of problems such as large destruction, high costs and low efficiency. Therefore, an estimation method was proposed. First, diameter at breast height and ground diameter were manually measured. Then, the horizontal angles and zenith distances at corresponding trunk positions of live standing trees were measured by using the approximate division of analytic timber based on an electronic theodolite. Finally, the timber volume was estimated by simulating mean sectional division volume as per summation of conical frustum. The measured data of standing timber volumes from poplar in Beijing were used as true data for examination. The errors of timber measurement from electronic theodolites were theoretically analyzed according to error propagation laws. Based on the four grades of electronic theodolite precision classification in China: Ⅰ(DJ-1), Ⅱ(DJ-2), Ⅲ(DJ-6) and Ⅳ(DJ-15), the errors and the limit errors of root mean square error (RMSE) during measurements of tree height and timber volume were computed. Moreover, the differences and applicability of electronic theodolites with different precision levels were analyzed. The results showed that because of error propagation and accumulation, the errors of timber volumes measured by electronic theodolites with the same precision were larger than the errors of tree height. When timbers with different sizes were measured by electronic theodolites of the same precision level, the errors slightly changed along with the size of timbers. With the increased standard deviation in angle measurements by electronic theodolites, the errors in forest measurement also increased. When the standard deviation of electronic theodolites was ±0.5″, the RMSEs in measurements of tree height and timber volume were ±6.5500×10-2m and ±1.474×10-3m3, respectively, while the relative errors were 0.44% and 0.73%, respectively. When the standard deviation of electronic theodolites was ±15.0″, the RMSEs in measurements of tree height and timber volume were ±8.9275×10-2m and ±4.385×10-3m3, respectively, while the relative errors were 0.60% and 2.14%, respectively. Therefore, the existing Ⅰ~Ⅳ electronic theodolites applied into tree measurements all conform to the precision requirement that relative errors do not exceed 3%~5%, and satisfy the requirements of different forestry works.

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曹 忠,鞏奕成,馮仲科,于東海,祁 曼.電子經(jīng)緯儀測量立木材積誤差分析[J].農(nóng)業(yè)機(jī)械學(xué)報,2015,46(1):292-298. Cao Zhong, Gong Yicheng, Feng Zhongke, Yu Donghai, Qi Man. Error Analysis on Standing Tree Volume Measurement by Using Electronic Theodolites[J]. Transactions of the Chinese Society for Agricultural Machinery,2015,46(1):292-298.

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  • 收稿日期:2014-09-25
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  • 在線發(fā)布日期: 2015-01-10
  • 出版日期: 2015-01-10
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