According to the AHP, the hierarchical structure model of the storm surge hazard index was established. The model factor layer includes two physical factors: storm surge and high water. If the superposition evaluation model is adopted, the number of hazard indicators is as follows:
$${D}_{g}={w}_{s}*S+{w}_{h}*H$$
where S is the storm surge index, H is the highwater index, and ws and wh are the weights of the storm surge and high water indices, respectively.
The intensity and frequency of storm surges should be considered in the index. The extreme return period is one of the quantitative indicators that comprehensively reflects the intensity and frequency of events. Therefore, the return value of a short period and a long period were adopted as the index layer of the storm surge factor. The high-water factor directly adopted the water level that would probably cause danger or disaster along the coast, and it was defined as the warning water level in China. In the area without a warning water level, a high water value that historically caused disasters or the elevation value of the area prone to inundation can be selected as the high-water factor.
Table 1
Storm surge hazard assessment indicator
Indicator
|
Index factor
|
Index weight
|
Index layer
|
Layer weight
|
Storm surge hazard
|
Storm-surge
|
ws
|
Short-term return value
|
ws1
|
Long-term return value
|
ws2
|
High-water
|
wh
|
Warning water
|
wh
|
The judgment matrix is constructed as \(\left(\begin{array}{c}{a}_{ss}{a}_{sh}\\ {a}_{hs}{a}_{hh}\end{array}\right)\), and the values of aij represent the importance of the storm surge relative to the high water level, the storm surge relative to the storm surge, the high water level relative to the storm surge, and the high water level relative to the high water level. According to the comparison scale law, aij is taken in the middle of 1–9 and its reciprocal, usually between 2N-1 and 2n + 1 (n = 1,2,3,4). The scale significance is shown in the Table 2.
Table 2
The significance of the judgment matrix element
Assignment
|
Significance
|
1
|
The two elements are equally important
|
3
|
Element i is slightly more important than element j
|
5
|
Element i is more important than element j
|
7
|
Element i is much more important than element j
|
9
|
Element i is extremely more important than element j
|
Taking ass=ahh=1, ash=1/5, and ahs=5 separately, the corresponding weights of the index factor were calculated by the root method as Ws=0.309 and Wh=0.691.
The above steps were repeated to construct the judgment matrix of the storm surge index layer. The surge values of the two return periods are equally important; that is, aij was taken as 1, and the weights were calculated as Ws1=0.1545 and Ws2=0.1545.