Table 1.
Relationship of extreme values and their RPs for rainfall and tide level.
Table 2.
Definition of the widely used one-parameter families of Archimedean Copulas.
Figure 1.
Trends of annual maximum 24-h precipitation and tide level.
Figure 2.
Precipitation change test in the annual maximum rainfall series from 1952 to 2009 in Fuzhou City: (a) Mann-Kendall test with the forward UFk (standard full line) and backward UBk (bold dash line) applications of the test; (b) Pettitt’s changing point test with the statistic .
Vertical dot line represents the maximum value.
Figure 3.
Annual maximum 24-h rainfall from 1952 to 2009 in Fuzhou City with the mean rainfall for each subsequence.
Table 3.
Estimated parameters of P-III distribution for H and Z in the two subsequences.
Figure 4.
Comparisons of the empirical and theoretical marginal distributions in the two subsequences: (a) for 24-h rainfall; (b) for the tide level.
Table 4.
Estimated parameters and goodness-of-fit test of copulas.
Table 5.
Probabilities of joint behavior of extreme rainfall and tide with different RPs.
Figure 5.
Comparison of probability between subsequence 1 and 2 in term of absolute values: (a) probability of ; (b) probability of
.
Figure 6.
Comparison of probability between subsequence 1 and 2 in term of RPs: (a) probability of ; (b) probability of
.
Figure 7.
Contours of the design joint RP for flooding preparedness for each subsequence.