Fig. 7: Phased individual network structure of the WEFNR spatial association network in the YRB.

a Frequency distribution of in-degree and out-degree of the spatial WEFNR network in the Yellow River Basin across the three stages (2013–2015, 2016–2018, 2019–2022). b Kernel density estimation of degree centrality distribution of the spatial WEFNR network in the Yellow River Basin across the three stages (2013–2015, 2016–2018, 2019–2022). c Kernel density estimation of betweenness centrality distribution of the spatial WEFNR network in the Yellow River Basin across the three stages (2013–2015, 2016–2018, 2019–2022). d Kernel density estimation of closeness centrality distribution of the spatial WEFNR network in the Yellow River Basin across the three stages (2013–2015, 2016–2018, 2019–2022).