Rainfall entropy for delineation of water resources zones in Japan

Kawachi, Toshihiko; Maruyama, Takeo; Singh, Vijay P.

doi:10.1016/s0022-1694(01)00355-9

Cited by 96 publications

(64 citation statements)

References 10 publications

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“…Mais recentemente, Shannon & Weaver (1949) utilizaram o conceito de entropia em análise econômica e na solução de problemas relacionados à teoria de codificação e transmissão de dados. Esta contribuição à teoria moderna da informação tem sido aplicada, atualmente, em diversas áreas do conhecimento, como hidrologia (Singh, 1997), matemática (Dragomir et al, 2000), economia (Kaberger & Mansson, 2001), ecologia (Ricotta, 2001), climatologia (Kawachi et al, 2001) e medicina (Montaño et al, 2001).…”

Section: Introductionunclassified

“…Sonuga (1976) descreveu a aplicação do princípio da entropia no processo de modelagem de chuva-vazão, e observou que essa técnica pode ser utilizada quando a disponibilidade de dados é mínima. Kawachi et al (2001) utilizaram o conceito de entropia para avaliar o grau de variabilidade da precipitação pluvial no Japão e obtiveram mapas de disponibilidade hídrica.…”

Section: Introductionunclassified

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Análises da precipitação pluvial no Estado da Paraíba com base na teoria da entropia

Silva

Cavalcanti

Nascimento

et al. 2003

Rev. bras. eng. agríc. ambient.

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Os dados diários de precipitação pluvial de 58 postos pluviométricos do Estado da Paraíba e de temperatura média diária de Campina Grande, PB, foram utilizados para avaliar a variabilidade espacial e temporal da precipitação pluvial, com base na teoria da entropia. Analisou-se, também, a variabilidade temporal da temperatura do ar em Campina Grande, com base nessa mesma teoria. Os resultados evidenciaram que a entropia é alta em locais com intensa precipitação, e baixa quando ocorrem, nesses locais, baixos índices pluviométricos; conseqüentemente, nos períodos chuvosos a entropia é alta e, nos períodos de estiagem, é mínima. Este trabalho evidencia, ainda, que qualquer série temporal de entropia decresce exponencialmente com o aumento do seu desvio-padrão.

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Section: Introductionunclassified

Análises da precipitação pluvial no Estado da Paraíba com base na teoria da entropia

Silva

Cavalcanti

Nascimento

et al. 2003

Rev. bras. eng. agríc. ambient.

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“…In environmental science, information-theoretic concepts such as the "Shannon entropy" have found widespread use in various applications (e.g. Brunsell, 2010;Weijs et al, 2013a;Yakirevich et al, 2013), ranging from uncertainty assessment in 3-D geological models (Schweizer et al, 2017) to the delineation of water 135 resource zones in Japan (Kawachi et al, 2001). For an introduction to, and detailed review of, information theoretic concepts we refer the reader to Cover and Thomas (2005), Singh (2013), and Weijs and van de Giesen (2013).…”

Section: The Role Of Surface Topography In Hydrological Modelingmentioning

confidence: 99%

On the dynamic nature of hydrological similarity

Loritz¹,

Gupta²,

Jackisch³

et al. 2018

Preprint

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Abstract:The increasing diversity and resolution of spatially distributed data on terrestrial systems greatly enhances the potential of hydrological modeling. Optimal and parsimonious use of these data sources implies, however, that we better understand a) which system characteristics exert primary controls 15 on hydrological dynamics and b) to what level of detail do those characteristics need to be represented in a model.In this study we develop and test an approach to explore these questions that draws upon information theoretic and thermodynamic reasoning, using spatially distributed topographic information as a straightforward example. Specifically, we subdivide a meso-scale catchment into 105 hillslopes and 20 represent each by a two dimensional numerical hillslope model. These hillslope models differ exclusively with respect to topography related parameters derived from a digital elevation model; the remaining setup and meteorological forcing for each are identical. We analyze the degree of similarity of simulated discharge and storage among the hillslopes as a function of time by examining the Shannon information entropy. We furthermore derive a 'compressed' catchment model by clustering the hillslope models into 25 functional groups of similar runoff generation using normalized mutual information as a distance measure.Our results reveal that, within our given model environment, only a portion of the entire amount of topographic information stored within a digital elevation model is relevant for the simulation of 2 group', which leads to no substantial loss in model performance. Importantly, we find that the concept of hydrological similarity is not necessarily time-invariant. On the contrary, the Shannon entropy as measure for diversity in the simulation ensemble shows a distinct annual pattern, with periods of highly redundant simulations, reflecting coherent and organized dynamics, and periods where hillslopes operate in distinctly different ways. 35We conclude that the proposed approach provides a powerful framework for understanding and diagnosing how and when process organization and functional similarity of hydrological systems emerges in time. Our approach is neither restricted to the model, nor to model targets or the data source we selected in this study. Overall, we propose that the concepts of hydrological systems acting similarly (and thus giving rise to redundancy) or displaying unique functionality (and thus being irreplaceable) are not 40 mutually exclusive. They are in fact of complementary nature, and systems operate by gradually changing to different levels of organization in time.Hydrol. Earth Syst. Sci. Discuss., https://doi

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“…Paylaştırılmış entropi kavramı (PE), günlük [21] ve aylık [22] yağışlar için kullanmış; kuraklık parametrelerinin belirlenmesinde kullanım olanakları da araştırılmıştır [12], [23].…”

Section: Paylaştırılmış Entropi (Pe) Kavramıunclassified