shows the bivariate intergration
This figure shows the contours of the response variable (e.g. flood levels) interpolated from input z and the joint contours of the bivariate density of two forcing variables.
is the output object from the binteg function.
is how the axes show the return probability, either ARI (annual recurrence interval) or annual exceed probability (AEP).
plot1 is the plot overlaying the response variable's contours and the joint probability contours. The exceedance probability for a particular response level is obtained by integrating the joint density for the region above this specified response level. This can be repeated for a range of different response variable levels, and the response variable corresponding to a specific exceedance probability can be found by subsequent interpolation.
Zheng, F., S. Westra, and S. A. Sisson (2013), Quantifying the dependence between extreme rainfall and storm surge in the coastal zone, Journal of Hydrology, 505(0), 172-187.
Zheng, F., Leonard M. and Westra S. (2014b). An efficient bivariate integration method for joint probability analysis of flood risk, Water Resources Research, under review.
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