The upper and lower bounds on the level curve were estimated numerically by solving Equations (16) and (17), and assuming for simplicity (although other assumptions are possible) *α*_{1} = *α*_{2} = *ɛ/*2, with *ɛ* = 0.05. The upper and lower bounds are denoted as *B*_{1} and *C*_{1}, respectively, in Figure 7. It is found that the bounds are close to the horizontal asymptote (i.e., *w _{7}* = 61.49 × 10

Table 5

Boundary identification method . | Return period . | Lower bound . | Upper bound . | ||
---|---|---|---|---|---|

Q (m_{p}^{3}/s)
. | W_{7} (10^{8} m^{3})
. | Q (m_{p}^{3}/s)
. | W_{7} (10^{8} m^{3})
. | ||

Volpi & Fiori (2012) | 1,000 | 22,930 | 65.84 | 26,080 | 61.54 |

200 | 19,350 | 50.27 | 22,460 | 55.86 | |

Developed method | 1,000 | 23,000 | 65.76 | 26,100 | 61.52 |

200 | 19,400 | 54.49 | 22,500 | 50.26 |

Boundary identification method . | Return period . | Lower bound . | Upper bound . | ||
---|---|---|---|---|---|

Q (m_{p}^{3}/s)
. | W_{7} (10^{8} m^{3})
. | Q (m_{p}^{3}/s)
. | W_{7} (10^{8} m^{3})
. | ||

Volpi & Fiori (2012) | 1,000 | 22,930 | 65.84 | 26,080 | 61.54 |

200 | 19,350 | 50.27 | 22,460 | 55.86 | |

Developed method | 1,000 | 23,000 | 65.76 | 26,100 | 61.52 |

200 | 19,400 | 54.49 | 22,500 | 50.26 |

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