Fundamentals of Statistical Hydrology

2012 ◽  
Vol 44 (3) ◽  
pp. 419-429 ◽  
Author(s):  
C. Spence ◽  
D. H. Burn ◽  
B. Davison ◽  
D. Hutchinson ◽  
T. B. M. J. Ouarda ◽  
...  

The quality (i.e. the degree of uncertainty that results from the interpretation and analysis) of information dictates its value for decision making. There has been much progress towards improving information on the water budgets of ungauged basins by improving knowledge, tools and techniques during the Prediction in Ungauged Basins (PUB) initiative. These improvements, at least in Canada, have come through efforts in both hydrological process and statistical hydrology research. This paper is a review of some recent Canadian PUB efforts to use data to generate information and reduce uncertainty about the hydrological regimes of ungauged basins. The focus is on the Canadian context and the problems it presents, but the lessons learned are applicable to other countries with similar challenges. With a large land mass that is relatively poorly gauged, novel approaches have had to be developed to extract the most information from the available data. It can be difficult in Canada to find gauged or research basins sufficiently similar to ungauged sites of interest that contain the data required to force either statistical or deterministic models. Many statistical studies have improved information or at least an understanding of the quality of that information, of ungauged basin streamflow regimes using innovative regression-based approaches and pooled frequency analysis. Hydrological process research has reduced knowledge uncertainty, particularly in regard to cold regions processes, and this situation has led to the development of new algorithms that are reducing predictive uncertainty. There remains much to do. Current progress has created an opportunity to better integrate statistical and deterministic models via data assimilation of regionalization model estimates and those from coupled atmospheric-hydrological models. Aspects of such a modelling system could also provide more robust uncertainty analyses than traditional approaches.


2020 ◽  
Author(s):  
Benedetta Moccia ◽  
Simon Michael Papalexiou ◽  
Fabio Russo ◽  
Francesco Napolitano

<p>Analysis of extreme precipitation events has been the cornerstone of statistical hydrology and plays a crucial role in planning and designing hydraulic structures. Extreme value theory offers a solid theoretical basis for using the Generalized Extreme Value (GEV) distribution as a probabilistic model to describe precipitation annual maxima. Several large-scale studies investigate the properties of the GEV distribution in point measurements offering insights on its spatial variability. Yet the sparse station network in most regions, as anticipated, leads to sparse point estimates that may distort the actual spatial patterns of the GEV’s parameters. Here, we use fine-resolution satellite-based gridded product, that is, the CHIRPS v2.0, to investigate the spatial variation of the GEV distribution over Italy. Our results show that the GEV shape parameter forms clear spatial patterns. We use these results to offer robust estimates and create maps for different return periods all over Italy.</p>


Eos ◽  
1971 ◽  
Vol 52 (4) ◽  
pp. 129
Author(s):  
Anonymous

1990 ◽  
Vol 17 (4) ◽  
pp. 590-596 ◽  
Author(s):  
Huynh Ngoc Phien ◽  
Van-Thanh-Van Nguyen

Although the method of maximum entropy (MME) appears to be promising in fitting the Pearson type-3 distribution, the sampling properties of the estimators are not available. This paper provides the formulas needed for computing the variances and covariances of the parameter estimators and the variance of the T-year event. All needed formulas are derived analytically and related computation schemes are described. Through applications of the developed technique to actual and simulated data, it was found that the efficiency of the MME may be slightly improved when the biased sample variance is used instead of the unbiased one. Key words: Pearson type-3 distribution, method of maximum entropy, floods, statistical hydrology, Monte-Carlo simulation.


2011 ◽  
pp. 479-517 ◽  
Author(s):  
S. Grimaldi ◽  
S.-C. Kao ◽  
A. Castellarin ◽  
S.-M. Papalexiou ◽  
A. Viglione ◽  
...  

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