# shows the bivariate intergration

### Description

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.

### Usage

1 | ```
plot1(obj,prob)
``` |

### Arguments

`obj` |
is the output object from the binteg function. |

`prob` |
is how the axes show the return probability, either ARI (annual recurrence interval) or annual exceed probability (AEP). |

### Details

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.

### References

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.

### Examples

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