Robustness Analysis of Two-Dimensional Networks

Abstract

After geodetic networks are established, relevant measurements are made and point coordinates are estimated by the least-squares method. However, the least-squares method does not give any information about the robustness of networks. To measure robustness of a network, the degree of deformation of individual points of the network is measured by strain. Furthermore, threshold values are needed to evaluate networks. These threshold values will enable us to evaluate the robustness of the network. If the displacements of individual points of the network are worse than the threshold values, we must redesign the network by changing the configuration or improving the measurements until we obtain a network of acceptable robustness. This paper describes how to obtain the displacements at individual points of a network, employs the specifications of the Geodetic Survey Division, and shows the power of the technique on different geodetic networks.