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Title: Linking flood frequency to long-term water balance: Incorporating effects of seasonality

Authored by: Sivapalan, M., Blöschl, G., Merz, R. and Gutknecht, D.

Abstract:

Derived flood frequency models can be used to study climate and land use change

effects on the flood frequency curve. Intra-annual (i.e., within year) climate variability

strongly impacts upon the flood frequency characteristics in two ways: in a direct way

through the seasonal variability of storm characteristics and indirectly through the

seasonality of rainfall and evapotranspiration which then affect the antecedent catchment

conditions for individual storm events. In this paper we propose a quasi-analytical derived

flood frequency model that is able to account for both types of seasonalities. The

model treats individual events separately. It consists of a rainfall model with seasonally

varying parameters. Increased flood peaks, as compared to block rainfall, due to random

within-storm rainfall time patterns are represented by a factor that is a function of the

ratio of storm duration and catchment response time. Event runoff coefficients are allowed

to vary seasonally and include a random component. Their statistical characteristics are

derived from long-term water balance simulations. The components of the derived

flood frequency model are integrated in probability space to derive monthly flood

frequency curves. These are then combined into annual flood frequency curves.

Comparisons with Monte Carlo simulations using parameters that are typical of Austrian

catchments indicate that the approximations used here are appropriate. We perform

sensitivity analyses to explore the effects of the interaction of rainfall and antecedent soil

moisture seasonalities on the flood frequency curve. When the two seasonalities are in

phase, there is resonance, which increases the flood frequency curve dramatically. We are

also able to isolate the contributions of individual months to the annual flood frequency

curve. Monthly flood frequency curves cross over for the parameters chosen here, as

extreme floods tend to mainly occur in summer while less extreme floods may occur

throughout the year.

Reference: Sivapalan, M., Blöschl, G., Merz, R. and Gutknecht, D., 2005, Linking flood frequency to long-term water balance: Incorporating effects of seasonality, Water Resources Research, 41, W06012, doi:10.1029/2004WR003439

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