Approximate Standard Deviation for Estimating the Accuracy of the GNSS-derived Plot Area.
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- Matsuoka Masayuki
- Agriculture Unit, Natural Sciences Cluster, Research and Education Faculty, Kochi University
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- Onodera Eiji
- Science and Technology Unit, Natural Sciences Cluster, Research and Education Faculty, Kochi University
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- Kawakami Toshitsugu
- Kochi Branch, Japan Forest Foundation
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- Takano Kazutaka
- Kochi Branch, Japan Forest Foundation
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- Kimura Yuzuru
- Forestry Agency
Bibliographic Information
- Other Title
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- GNSS測量で得られた面積の精度評価指標
- GNSS ソクリョウ デ エラレタ メンセキ ノ セイド ヒョウカ シヒョウ
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Abstract
<p>This study proposed to use the approximate standard deviation as an indicator of the accuracy of an area measured by Global Navigation Satellite System (GNSS) receivers. The standard deviation of the area was derived mathematically based on the shoelace formula using the position of the vertices of the plot and the standard deviation of position errors. The approximate value of the standard deviation was calculated using measured GNSS positions and position errors, instead of theoretical true values, because GNSS cannot measure the true position and its error. This paper gives a mathematical description of the derivation of the standard deviation of the area from GNSS-derived coordinates and those errors. The degree of approximation was also evaluated using a numerical simulation. The results showed a goodness of the approximation such that the error rate of the approximate standard deviation was within ±3% of the measured values in 90% of the cases in the simulation. The paper also showed examples of the application of the proposed index in GNSS measurement of area.</p>
Journal
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- Journal of the Japanese Forest Society
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Journal of the Japanese Forest Society 100 (6), 193-200, 2018-12-01
THE JAPANESE FORESTRY SOCIETY
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Keywords
Details
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- CRID
- 1390001288120001792
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- NII Article ID
- 130007588325
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- NII Book ID
- AA12003078
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- ISSN
- 1882398X
- 13498509
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- NDL BIB ID
- 029459550
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- Text Lang
- ja
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- Data Source
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- JaLC
- IRDB
- NDL
- Crossref
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed