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Title: LINE DISCREPANCIES AS WEIGHTS IN THE ADJUSTMENT OF PRECISE LEVELLING NETWORKS
LINE DISCREPANCIES AS WEIGHTS IN THE ADJUSTMENT OF PRECISE LEVELLING NETWORKS

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Vasil Cvetkov
10.5593/sgem2024/2.1/s09.26
10.5593/sgem2024/2.1
1314-2704
978-619-7603-69-9
English
24
2.1
•    Prof. DSc. Oleksandr Trofymchuk, UKRAINE 
•    Prof. Dr. hab. oec. Baiba Rivza, LATVIA
Geodesy and Mine Surveying
Precise levelling networks play an important role in the research of many scientific processes, e.g. the recent crustal movements, the change of ocean and sea levels, geoid or quasi-geoid, etc. Their appropriate adjustment goes through the choice of suitable weights, which have physical common sense and minimize the standard errors of the adjusted heights. The conventional weights are supposed to be inversely proportional to the length of levelling lines, due to the assumption that the accumulation of errors in the geometric levelling is proportional to the square root of the distance between benchmarks. On the other hand, it is a well-known fact that the more accurate random observations are, the less is their spread around the quantity expectation. Thus, the absolute values of the discrepancies in the lines in levelling networks seem reasonable and natural candidates of weights. In order to check the “supremacy” of the conventional weights in the geometric levelling, we adjusted the Third Levelling network of Finland in two variants. In the first variant, we used the traditional weights inversely proportional to the length of the levelling lines. In the second variant, we used weights inversely proportional to the absolute values of the discrepancies in the lines. The t-Test Paired Samples for means applied with the means of the sample of the standard errors yielded by both variants revealed that the second variant produced statistically significant better results at significance level greater than 99 %.
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https://doi.org/10.5593/sgem2024/2.1/s09.26
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Proceedings of 24th International Multidisciplinary Scientific GeoConference SGEM 2024
24th International Multidisciplinary Scientific GeoConference SGEM 2024, 1 - 7 July, 2024
Proceedings Paper
STEF92 Technology
International Multidisciplinary Scientific GeoConference Surveying Geology and Mining Ecology Management, SGEM
SWS Scholarly Society; Acad Sci Czech Republ; Latvian Acad Sci; Polish Acad Sci; Russian Acad Sci; Serbian Acad Sci and Arts; Natl Acad Sci Ukraine; Natl Acad Sci Armenia; Sci Council Japan; European Acad Sci, Arts and Letters; Acad Fine Arts Zagreb Croatia; Croatian Acad Sci and Arts; Acad Sci Moldova; Montenegrin Acad Sci and Arts; Georgian Acad Sci; Acad Fine Arts and Design Bratislava; Russian Acad Arts; Turkish Acad Sci.
213-220
1 - 7 July, 2024
website
9938
adjustment weights, precise levelling networks, reference height systems

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