# Modelling of Evenness of Runways as an Element of Sustainable Airport Maintenance
## 5 Discussion
Comparison with the average linear slope shows the best fit (MAX \(<\) 3 mm, Mean \(<\) 7 mm, SE \(<\) 0,1 mm on longitudinal cross-sections and MAX \(<\) 9 mm, Mean \(<\) 5 mm, SE \(<\) 3 mm on other selected cross-sections). An additional disadvantage of this method is the longer post-processing (a few hours) and, of course, the processing of the results with the MatLab program, which is not public, but was made for the purposes of this research. * linear triangular irregular network interpolation (TIN): A method of creating an elevation model using TIN interpolation is a tool included in every major GIS (public tool). \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multicolumn{2}{c}{**Cross-Section**} & \multirow{2}{*}{**Model**} & \multicolumn{2}{c}{**s**} & \multicolumn{6}{c}{**Descriptive Statistics [m]**} \\ \cline{3-8} \multicolumn{1}{c}{} & & **Mean** & **Median** & **SE** & **SD** & **V (m\({}^{21}\)** & **Max** \\ \hline \multirow{4}{*}{**P1**} & **IDW1** & 2.18 & 0.01509 & 0.01493 & 0.00022 & 0.00788 & 0.00006 & 0.03197 \\  & IDW3 & 2.23 & 0.00941 & 0.00928 & 0.00015 & 0.00543 & 0.00002 & 0.02732 \\
**S = 2.18\%** & TIN1 & 2.18 & **0.00412** & **0.00345** & 0.00009 & 0.00314 & **0.00001** & 0.01339 \\  & RR & 2.14 & 0.00428 & 0.00359 & **0.00008** & **0.00302** & **0.00001** & **0.01019** \\ \hline \multirow{4}{*}{P2 *} & IDW1 & 2.17 & 0.00376 & 0.00264 & 0.00011 & 0.00356 & 0.00001 & 0.02257 \\  & IDW3 & 2.19 & 0.00774 & 0.00791 & 0.00013 & 0.00435 & 0.00001 & 0.01959 \\ \cline{1-1}  & TIN1 & 2.18 & 0.00431 & 0.00415 & 0.00007 & 0.00269 & 0.00001 & 0.01440 \\ \cline{1-1}  & RR & 2.14 & **0.00164** & **0.00164** & **0.00001** & **0.00055** & 0.00001 & **0.00260** \\ \hline \multirow{4}{*}{P3 *} & IDW1 & 2.16 & 0.00761 & 0.00732 & 0.00014 & 0.00458 & 0.00002 & 0.01795 \\  & IDW3 & 2.21 & 0.00909 & 0.00817 & 0.00018 & 0.00603 & 0.00003 & 0.02126 \\ \cline{1-1}  & TIN1 & 2.21 & 0.00455 & 0.00389 & 0.00009 & 0.00336 & 0.00001 & 0.02291 \\ \cline{1-1}  & RR & 2.17 & **0.00111** & **0.00091** & **0.00002** & **0.00078** & **<0.00001** & **0.00266** \\ \hline \hline \end{tabular} Where is: S... slope of average linear cross-section. s... slope of cross section modelled by individual model. SE... standard error of modelled deviations. SD... standard deviation. V... variance of modelled deviations. Max... maximal deviation from average linear cross-section elevation. P2*... the impact of lack of data is not taken into consideration (cross-section is considered up to a distance of 250 m). P3*... the impact of lack of data is not taken into consideration (cross-section is considered up to a distance of 250 m). P3*... the impact of lack of data is not taken into consideration (cross-section is considered up to a distance of 260 m).  
\end{table} 
Table 4: Descriptive statistics of absolute deviation of considered models (cross-sections P1, P2, and P3) from the average linear slope. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multicolumn{2}{c}{**Cross-Section**} & \multirow{2}{*}{**Model**} & \multicolumn{2}{c}{**s**} & \multicolumn{6}{c}{**Descriptive Statistics [m]**} \\ \cline{3-8} \multicolumn{1}{c}{} & & **[\%]** & **Mean** & **Median** & **SE** & **SD** & **V (m\({}^{21}\)** & **Max** \\ \hline \multirow{4}{*}{**P4**} & **IDW1** & 8.16 & **0.03669** & 0.03459 & **0.00137** & **0.01323** & **0.00017** & 0.09093 \\  & IDW3 & 8.74 & 0.04380 & 0.03485 & 0.00351 & 0.03389 & 0.00114 & 0.12133 \\  & TIN1 & 8.67 & 0.03906 & **0.03366** & 0.00323 & 0.03119 & 0.00097 & 0.09810 \\  & RR & 8.26 & 0.04032 & 0.04018 & 0.00260 & 0.02513 & 0.00063 & **0.08340** \\ \hline \multirow{4}{*}{P5 = 7.95\%} & IDW1 & 7.80 & 0.04216 & 0.04166 & **0.00129** & **0.01254** & **0.00015** & **0.08801** \\  & IDW3 & 7.91 & 0.04473 & **0.03956** & 0.00307 & 0.02984 & 0.00089 & 0.11181 \\ \cline{1-1}  & TIN1 & 7.89 & 0.04229 & 0.04082 & 0.00263 & 0.02556 & 0.00065 & 0.09024 \\ \cline{1-1}  & RR & 8.19 & **0.04123** & 0.04040 & 0.00283 & 0.02750 & 0.00075 & 0.08936 \\ \hline \hline \end{tabular}
\end{table}