# Governance and Dynamic Efficiency with Network Structure in the Brazilian Natural Gas Utilities
## 3 Results
\begin{table}
\begin{tabular}{l l c c c c c c c} \hline \hline \multicolumn{1}{c}{**DMU**} & \multicolumn{1}{c}{**(Overall Score)**} & \multirow{2}{*}{**Rank**} & \multicolumn{6}{c}{**Efficiency**} \\ \cline{4-9} \multicolumn{1}{c}{} & & **2014** & **2015** & **2016** & **2017** & **2018** & **2019** \\ \hline ALGAS & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\ CEG GAS & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\ CIGAS & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\ COMGAS & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\ BR-DIST-PBR & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\ CEGS & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\ GABBRASILIANO & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\ GOIASGAS & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\ GASIIG & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\ MTGAS & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\ COPERGAS & 0.9344 & 11 & 0.6858 & 1 & 1 & 1 & 1 \\ BAHIAGAS & 0.8180 & 12 & 1 & 1 & 0.7509 & 0.8560 & 1 & 0.5292 \\ SERGAS & 0.7047 & 13 & 0.3985 & 0.4510 & 1 & 1 & 1 & 1 \\ SULGAS & 0.6936 & 14 & 0.6597 & 0.7658 & 0.7265 & 0.6916 & 0.8466 & 0.5473 \\ CEGAS & 0.5195 & 15 & 0.9998 & 1 & 0.4382 & 0.5764 & 0.3802 & 0.3329 \\ COMPAGAS & 0.4719 & 16 & 0.6639 & 0.7882 & 0.3644 & 0.3755 & 0.4264 & 0.4413 \\ PBGAS & 0.4712 & 17 & 0.4766 & 0.5004 & 0.5492 & 0.4826 & 0.4992 & 0.3658 \\ SCGAS & 0.4671 & 18 & 0.4492 & 0.4658 & 0.4847 & 0.4561 & 0.5439 & 0.4205 \\ POTIGAS & 0.3447 & 19 & 0.4568 & 0.3954 & 0.3716 & 0.3521 & 0.3402 & 0.2482 \\ MSGAS & 0.2521 & 20 & 1 & 1 & 0.1858 & 0.1884 & 0.2101 & 0.1396 \\ GASMAR & 0.0646 & 21 & 0.0871 & 0.0635 & 0.3022 & 0.0529 & 0.0540 & 0.0441 \\ \hline \end{tabular} Source: Own elaboration.  
\end{table} 
Table 4: Overall Efficiency of Natural Gas Distributors in Brazil. \begin{table}
\begin{tabular}{l l c c c c c c c} \hline \hline \multicolumn{1}{c}{**Results by Division**} & \multicolumn{1}{c}{**General**} & \multicolumn{1}{c}{**2014**} & \multicolumn{1}{c}{**2015**} & \multicolumn{1}{c}{**2016**} & \multicolumn{1}{c}{**2017**} & \multicolumn{1}{c}{**2018**} & \multicolumn{1}{c}{**2019**} \\ \hline \multirow{6}{*}{Overall Efficiency} & Mean & 0.7496 & 0.8037 & 0.8300 & 0.7702 & 0.7634 & 0.7762 & 0.7176 \\  & Standard Deviation & 0.3032 & 0.2816 & 0.2803 & 0.2967 & 0.3201 & 0.3239 & 0.3511 \\  & Minimum & 0.0646 & 0.0871 & 0.0635 & 0.1858 & 0.0529 & 0.0540 & 0.0441 \\  & Maximum & 1 & 1 & 1 & 1 & 1 & 1 \\  & 1 st Quartile & 0.4719 & 0.6597 & 0.7658 & 0.4847 & 0.4826 & 0.4992 & 0.4205 \\  & Median & 0.9344 & 1 & 1 & 1 & 1 & 1 \\  & 3 rd Quartile & 1 & 1 & 1 & 1 & 1 & 1 \\ \hline \multirow{6}{*}{\
\begin{tabular}{l} Technical-Operating \\ Division \\ Efficiency \\ \end{tabular} } & Mean & 0.7221 & 0.7659 & 0.7788 & 0.7004 & 0.7035 & 0.7246 & 0.6593 \\  & Standard Deviation & 0.3621 & 0.3501 & 0.3423 & 0.3709 & 0.3779 & 0.3811 & 0.4099 \\  & Minimum & 0.0225 & 0.0455 & 0.0328 & 0.0926 & 0.0272 & 0.0278 & 0.0225 \\  & Maximum & 1 & 1 & 1 & 1 & 1 & 1 \\  & 1 st Quartile & 0.3047 & 0.4923 & 0.6021 & 0.3199 & 0.2903 & 0.3047 & 0.2662 \\  & Median & 1 & 1 & 1 & 1 & 1 & 1 \\  & 3 rd Quartile & 1 & 1 & 1 & 1 & 1 & 1 \\ \hline \multirow{6}{*}{
\begin{tabular}{l} Economic- \\ financial \\ Division \\ Efficiency \\ \end{tabular} } & Mean & 0.8203 & 0.8623 & 0.8518 & 0.8012 & 0.8111 & 0.8142 & 0.7813 \\  & Standard Deviation & 0.2671 & 0.2511 & 0.3048 & 0.2638 & 0.2701 & 0.2653 & 0.2915 \\  & Minimum & 0.0355 & 0.0914 & 0.0355 & 0.3056 & 0.2542 & 0.2309 & 0.0842 \\  & Maximum & 1 & 1 & 1 & 1 & 1 & 1 \\  & 1 st Quartile & 0.6556 & 0.8094 & 0.9272 & 0.5753 & 0.5437 & 0.5728 & 0.4602 \\  & Median & 1 & 1 & 1 & 1 & 1 & 1 \\  & 3 rd Quartile & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\ \hline \hline \end{tabular} Source: Own elaboration.  
\end{table} 
Table 3: Descriptive Analysis for the DEA DNSBM in Overall and Divisional Efficiency. This makes it possible to observe that, contrary to our findings for the average score, DIV EF has a higher number of inefficient distributors. It can be seen that the efficiency of most of the distributors in DIV EF remained relatively stable over the study period, while the efficiency performance of DIV TO exhibited wider fluctuations.