The paper empirically elaborates and tests a novel measurement model called a complex model of network structure exploration (CMNSE). This new measurement model gauges simultaneously, on one hand, structural features of nodes with degree distribution, on the other hand, the spatial characteristics of edges of a real network are investigated with quadrat analysis. The topology of the newest form of an economic network called coopetitive network is tested by CMNSE. Empirical findings reveal that this coopetitive network does not have scale-free property since its degree exponent belongs to the anomalous regime. Moreover, the spatial position of a hub and nodes can be pinpointed with CMNSE highlighting that nodes are clustered significantly in the periphery of the networked space, but the hub is localized in the center of the network.