Critical path and intermediate node identification method for hidden water scarcity risk transmission based on betweenness centrality algorithm

A method of reducing water scarcity risk, comprising:

• data acquisition unit, configured to obtain a probability of water scarcity in each region, obtain the water scarcity risk of each sector in each region based on the water resource dependence of each sector in each region and the probability of water scarcity in each region;
• wherein the expression of water scarcity probability in each region is as follows:
• WSP
• i
• =
• exp
• ⁢
• (
• μ
• w
• i
• +
• σ
• 2
• 2
• )
• ;
• w
• i
• ∼
• (
• μ
• w
• i
• ,
• σ
• 2
• )
• ;
• where WSPi denotes a water scarcity probability of a region i is equal to an expected value of a random variable wi;
• the random variable wi obeys a lognormal distribution, the variance is
• μ
• i
• =
• log
• ⁢
• 1
• WSI
• i
• ,
• σ denotes a standard deviation and is equal to 1;
• WSI
• i
• =
• WC
• i
• Q
• i
• ,
• WSIi denotes a water pressure index of the region i, WCi denotes a water consumption of the region i, and Qi denotes an available freshwater volume of the region i;
• wherein the expression of water resource dependence of each sector in each region is as follows:
• WD
• m
• ,
• i
• =
• f
• WD
• (
• WI
• m
• ,
• i
• ;
• α
• )
• =
• 1
• 1
• +
• e
• -
• α
• ⁢
• WI
• m
• ,
• i
• i
• ⁢
• n
• ⁢
• t
• (
• 1
• 0
• .
• 0
• ⁢
• 0
• ⁢
• 1
• -
• 1
• )
• ;
• WI
• m
• ,
• i
• =
• WC
• m
• ,
• i
• x
• m
• ,
• i
• ;
• where WDm,i denotes a water resource dependence of a sector m in the region i;
• WCm,i denotes the amount of water used by the sector m in the region i;
• WIm,i denotes a water intensity of the sector m in the region i, it equals to the water consumption WCm,i of the sector in the region divided by its total output xm,i;
• α is the truncation parameter, which is set to 0.5.
• matrix calculation unit, configured to calculate the hidden water scarcity risk transfer matrix according to the water scarcity risk of each sector and based on the multi-regional input-output model;
• path identification unit, configured to identify the critical transmission path of the hidden water scarcity risk and construct the hidden water scarcity risk transmission network based on the structural path analysis and the hidden water scarcity risk transfer matrix;
• intermediate node identification unit, configured to identify the critical intermediate nodes in the hidden water scarcity risk transmission network based on the betweenness centrality algorithm.