Т. 56. Бр. 2. Международна юбилейна научна конференция "80 години УАСГ".
Рез. на англ. ез.
DOI: 10.71167/uaceg.2023.560221
Анотация
" Despite being in usage for more than 150 years the error accumulation in precise levelling has not yet been completely clarified. It is believed that the error accumulation in this method is proportional to the square root of the levelling distance. The first goal of this paper is to demonstrate that this belief is not always scientifically proved. The second aim is to show that it is likely that a better adjustment decision will be missed if inverse distance weighting with a power parameter equal to one is automatically applied. Using linear regression analysis, the measuring data of the Second Levelling of Finland is analyzed. An inadequacy of the relationship between the absolute values of the double run differences of the heights between the terminals of the levelling lines and their length is shown, which is due to a heteroscedasticity. In order to obtain a homoscedastic model other two regression models are constructed. Based on these results, the analyzed network is adjusted using three types of weights. The adjustment with traditional weights has produced significantly greater mean errors of the nodal benchmarks than both variants based on weights, which are functions of the sum of the absolute values of the section elevations in the lines."
