## 3 Results and Discussion
### Complex Ecospatial Networks Evaluation
#### 3.2.3 Ecological Node Degree and Degree Distribution  
The degree distribution of ecological nodes is shown in Figure 7.  
Figure 7 shows that there is no node with a degree of 0 in this ecos spatial network, indicating that no node exists independently, and all nodes are connected to the network. The average degree is 3.52, indicating that the overall connectivity level is relatively low; about 95% of the ecological nodes have degree values in the 0-10 range; that is, the number of corridors connected by most nodes is between 0 and 10, which indicates that the connectivity of most nodes in the network is at a medium level, and the number of corridors connected by most ecological source patches is small. A small number of nodes have degree values in the 10-15 range; that is, a small number of nodes are connected to 10-15 corridors, and these nodes can play a more important ecological role in the network. Observing the overall distribution characteristic of the node degree, the curve trend is more  
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Number of** & **Number of** & **Network** & **Line Point Rate** & **Network** \\
**Ecological** & **Ecological** & **Closure (\(\alpha\))** & **(\(\beta\))** & **Connectivity (\(\gamma\))** \\
**Nodes** & **Corridors** & & & \\ \hline
861 & 1519 & 0.3838 & 1.7642 & 0.5894 \\ \hline \hline \end{tabular}
\end{table}
Table 2: Ecos spatial network integrity index.  
in line with the power-law distribution compared to the Poisson distribution. The power-law distribution is also known as the scale-free distribution, and the ecos spatial network conforming to the power-law distribution tends to show obvious scale-free properties after removing the nodes with degrees of 0 and 1. The power-law distribution characteristic of the ecos spatial network degree distribution in the study area indicates that its scale-free property is stronger than the uniformity property, and the network inhomogeneity is high.  
Figure 8b was obtained by predicting the degree distribution of nodes in the whole region of Inner Mongolia by kriging. Combined with the land use types in Inner Mongolia, it can be seen from Figure 8a that there are 227 nodes with degrees in the low-value range of 0-2, mostly located in the woodland and forest-grassland ecotones. As shown in Figure 8b, most of the predicted values of node degree in the woodland are between 0 and 1.86, while a small part of the area is affected by a node with a high degree, and the predicted value gradually decreases from 9.76 to 16.46. This shows that in this ecos spatial network, most of the ecological nodes located in the woodland and the forest-grassland ecotone have relatively low connectivity and do not play an important role in the ecos spatial network. There are 461, 156 and 16 nodes in the range of 2-4, 4-6 and 6-12, respectively, accounting for 77% of the total number of nodes, which are mostly located in the farm-forest ecotone, grassland, and agro-pastoral ecotone. These nodes have relatively high connectivity and play a key role in maintaining the stability of the ecos spatial network. It also indicates that the land cover types where these nodes are located have important ecological service functions in the Inner Mongolia ecosystem.  
Figure 8: (**a**) Node degree spatial distribution; (**b**) spatial distribution prediction.  
Figure 7: Degree distribution.