Analytical Framework

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Günter Blöschl - One of the best experts on this subject based on the ideXlab platform.

  • Generalised synthesis of space-time variability in flood response An Analytical Framework
    Journal of Hydrology, 2010
    Co-Authors: Alberto Viglione, Giovanni Battista Chirico, Ross Woods, Günter Blöschl
    Abstract:

    summary We extend the method developed by Woods and Sivapalan (1999) to provide a more general Analytical Framework for assessing the dependence of the catchment flood response on the space–time interactions between rainfall, runoff generation and routing mechanisms. The Analytical Framework focuses on three characteristics of the flood hydrograph: the catchment rainfall excess rate, and the first and second temporal moments of the flood response. These characteristics are described by Analytical relations, which are derived with a limited number of assumptions concerning the catchment response that comply well with many modelling approaches. The paper illustrates the development of the Analytical Framework and explains the conceptual meaning of the mathematical relations by taking a simple and idealised ‘‘openbook” catchment as a case study. It is shown how the components of the derived equations explicitly quantify the relative importance of processes and the space–time interactions among them during flood events. In particular, the components added to the original Framework of Woods and Sivapalan (1999), which account for storm movement and hillslope routing variability in space, are demonstrated to be important and in some cases decisive in combining to bring about the flood response. The proposed Analytical Framework is not a predictive model but a tool to understand the magnitude of the components that contribute to runoff response, similar to the components of the St. Venant equations in fluid dynamics.

  • Generalised synthesis of space–time variability in flood response: An Analytical Framework
    Journal of Hydrology, 2010
    Co-Authors: Alberto Viglione, Giovanni Battista Chirico, Ross Woods, Günter Blöschl
    Abstract:

    We extend the method developed by Woods and Sivapalan (1999) to provide a more general Analytical Framework for assessing the dependence of the catchment flood response on the space–time interactions between rainfall, runoff generation and routing mechanisms. The Analytical Framework focuses on three characteristics of the flood hydrograph: the catchment rainfall excess rate, and the first and second temporal moments of the flood response. These characteristics are described by Analytical relations, which are derived with a limited number of assumptions concerning the catchment response that comply well with many modelling approaches. The paper illustrates the development of the Analytical Framework and explains the conceptual meaning of the mathematical relations by taking a simple and idealised “open-book” catchment as a case study. It is shown how the components of the derived equations explicitly quantify the relative importance of processes and the space–time interactions among them during flood events. In particular, the components added to the original Framework of Woods and Sivapalan (1999), which account for storm movement and hillslope routing variability in space, are demonstrated to be important and in some cases decisive in combining to bring about the flood response. The proposed Analytical Framework is not a predictive model but a tool to understand the magnitude of the components that contribute to runoff response, similar to the components of the St. Venant equations in fluid dynamics

Alberto Viglione - One of the best experts on this subject based on the ideXlab platform.

  • Generalised synthesis of space-time variability in flood response An Analytical Framework
    Journal of Hydrology, 2010
    Co-Authors: Alberto Viglione, Giovanni Battista Chirico, Ross Woods, Günter Blöschl
    Abstract:

    summary We extend the method developed by Woods and Sivapalan (1999) to provide a more general Analytical Framework for assessing the dependence of the catchment flood response on the space–time interactions between rainfall, runoff generation and routing mechanisms. The Analytical Framework focuses on three characteristics of the flood hydrograph: the catchment rainfall excess rate, and the first and second temporal moments of the flood response. These characteristics are described by Analytical relations, which are derived with a limited number of assumptions concerning the catchment response that comply well with many modelling approaches. The paper illustrates the development of the Analytical Framework and explains the conceptual meaning of the mathematical relations by taking a simple and idealised ‘‘openbook” catchment as a case study. It is shown how the components of the derived equations explicitly quantify the relative importance of processes and the space–time interactions among them during flood events. In particular, the components added to the original Framework of Woods and Sivapalan (1999), which account for storm movement and hillslope routing variability in space, are demonstrated to be important and in some cases decisive in combining to bring about the flood response. The proposed Analytical Framework is not a predictive model but a tool to understand the magnitude of the components that contribute to runoff response, similar to the components of the St. Venant equations in fluid dynamics.

  • Generalised synthesis of space–time variability in flood response: An Analytical Framework
    Journal of Hydrology, 2010
    Co-Authors: Alberto Viglione, Giovanni Battista Chirico, Ross Woods, Günter Blöschl
    Abstract:

    We extend the method developed by Woods and Sivapalan (1999) to provide a more general Analytical Framework for assessing the dependence of the catchment flood response on the space–time interactions between rainfall, runoff generation and routing mechanisms. The Analytical Framework focuses on three characteristics of the flood hydrograph: the catchment rainfall excess rate, and the first and second temporal moments of the flood response. These characteristics are described by Analytical relations, which are derived with a limited number of assumptions concerning the catchment response that comply well with many modelling approaches. The paper illustrates the development of the Analytical Framework and explains the conceptual meaning of the mathematical relations by taking a simple and idealised “open-book” catchment as a case study. It is shown how the components of the derived equations explicitly quantify the relative importance of processes and the space–time interactions among them during flood events. In particular, the components added to the original Framework of Woods and Sivapalan (1999), which account for storm movement and hillslope routing variability in space, are demonstrated to be important and in some cases decisive in combining to bring about the flood response. The proposed Analytical Framework is not a predictive model but a tool to understand the magnitude of the components that contribute to runoff response, similar to the components of the St. Venant equations in fluid dynamics

Oliver Tse - One of the best experts on this subject based on the ideXlab platform.

  • an Analytical Framework for consensus based global optimization method
    Mathematical Models and Methods in Applied Sciences, 2018
    Co-Authors: Jose A Carrillo, Youngpil Choi, Claudia Totzeck, Oliver Tse
    Abstract:

    In this paper, we provide an Analytical Framework for investigating the efficiency of a consensus-based model for tackling global optimization problems. This work justifies the optimization algorit...

  • An Analytical Framework for consensus-based global optimization method
    Mathematical Models and Methods in Applied Sciences, 2018
    Co-Authors: Jose A Carrillo, Youngpil Choi, Claudia Totzeck, Oliver Tse
    Abstract:

    In this paper, we provide an Analytical Framework for investigating the efficiency of a consensus-based model for tackling global optimization problems. This work justifies the optimization algorithm in the mean-field sense showing the convergence to the global minimizer for a large class of functions. Theoretical results on consensus estimates are then illustrated by numerical simulations where variants of the method including nonlinear diffusion are introduced.

Charles B. Wilson - One of the best experts on this subject based on the ideXlab platform.

  • Analytical Framework for Research on Smart Homes and Their Users
    Human–Computer Interaction Series, 2017
    Co-Authors: Tom Hargreaves, Charles B. Wilson
    Abstract:

    Through a systematic analysis of peer-reviewed literature, this chapter takes stock of the dominant research themes on smart homes and their users, and the linkages and disconnects between these themes. Key findings within each of nine themes are analysed in three groups: (1) views of the smart home—functional, instrumental, socio-technical; (2) users and the use of the smart home—prospective users, interactions and decisions, using technologies in the home; and (3) user-related challenges for realising the smart home—hardware and software, design, domestication. These themes are integrated into an Analytical Framework that identifies the presence or absence of cross-cutting relationships between different understandings of smart homes and their users. This Analytical Framework serves to organise, link, and integrate the empirical analysis in Chaps. 3– 6 of the book. More broadly, the Analytical Framework shows how research on smart homes and their users can benefit by exploring and developing cross-cutting relationships between research themes and traditions.

Giovanni Battista Chirico - One of the best experts on this subject based on the ideXlab platform.

  • Generalised synthesis of space-time variability in flood response An Analytical Framework
    Journal of Hydrology, 2010
    Co-Authors: Alberto Viglione, Giovanni Battista Chirico, Ross Woods, Günter Blöschl
    Abstract:

    summary We extend the method developed by Woods and Sivapalan (1999) to provide a more general Analytical Framework for assessing the dependence of the catchment flood response on the space–time interactions between rainfall, runoff generation and routing mechanisms. The Analytical Framework focuses on three characteristics of the flood hydrograph: the catchment rainfall excess rate, and the first and second temporal moments of the flood response. These characteristics are described by Analytical relations, which are derived with a limited number of assumptions concerning the catchment response that comply well with many modelling approaches. The paper illustrates the development of the Analytical Framework and explains the conceptual meaning of the mathematical relations by taking a simple and idealised ‘‘openbook” catchment as a case study. It is shown how the components of the derived equations explicitly quantify the relative importance of processes and the space–time interactions among them during flood events. In particular, the components added to the original Framework of Woods and Sivapalan (1999), which account for storm movement and hillslope routing variability in space, are demonstrated to be important and in some cases decisive in combining to bring about the flood response. The proposed Analytical Framework is not a predictive model but a tool to understand the magnitude of the components that contribute to runoff response, similar to the components of the St. Venant equations in fluid dynamics.

  • Generalised synthesis of space–time variability in flood response: An Analytical Framework
    Journal of Hydrology, 2010
    Co-Authors: Alberto Viglione, Giovanni Battista Chirico, Ross Woods, Günter Blöschl
    Abstract:

    We extend the method developed by Woods and Sivapalan (1999) to provide a more general Analytical Framework for assessing the dependence of the catchment flood response on the space–time interactions between rainfall, runoff generation and routing mechanisms. The Analytical Framework focuses on three characteristics of the flood hydrograph: the catchment rainfall excess rate, and the first and second temporal moments of the flood response. These characteristics are described by Analytical relations, which are derived with a limited number of assumptions concerning the catchment response that comply well with many modelling approaches. The paper illustrates the development of the Analytical Framework and explains the conceptual meaning of the mathematical relations by taking a simple and idealised “open-book” catchment as a case study. It is shown how the components of the derived equations explicitly quantify the relative importance of processes and the space–time interactions among them during flood events. In particular, the components added to the original Framework of Woods and Sivapalan (1999), which account for storm movement and hillslope routing variability in space, are demonstrated to be important and in some cases decisive in combining to bring about the flood response. The proposed Analytical Framework is not a predictive model but a tool to understand the magnitude of the components that contribute to runoff response, similar to the components of the St. Venant equations in fluid dynamics