Influence of the Long-Range Dependence in Rainfall in Modelling Oueme River Basin (Benin, West Africa)

Eliezer Iboukoun Biao; Eric Adechina Alamou

doi:doi:10.11648/j.ajbes.20160204.15

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Influence of the Long-Range Dependence in Rainfall in Modelling Oueme River Basin (Benin, West Africa)

Eliezer Iboukoun Biao, Eric Adechina Alamou

Published in American Journal of Biological and Environmental Statistics (Volume 2, Issue 4)

Received: 20 December 2016 Accepted: 29 December 2016 Published: 23 January 2017

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Abstract

Nowadays, there is evidence that hydrological processes exhibit long-range dependence (LRD), i.e. power-type decay of autocorrelation also known as the Hurst phenomenon. This means that the stationarity assumption of hydrological time series, which has been widely used in the past, cannot be further advocated. The objective of this paper is to detect the long-range dependence in rainfall in Oueme River basin and to understand how the Hurst coefficient influences the river discharge dynamics. To this end, this paper formulated the Hurst phenomenon that characterized hydrological and other geophysical time series. Then, the fractional generalization of the triple relationship between the fractional Brownian motion, the corresponding stochastic differential equations (SDE) describing the river basin and the deterministic fractional Fokker-Planck equations (FPE) is analysed for the modelling of the river discharge dynamics. This fractional FPE provides an essential tool for the study of the dynamics of the river discharge in Oueme River basin.

Published in	American Journal of Biological and Environmental Statistics (Volume 2, Issue 4)
DOI	10.11648/j.ajbes.20160204.15
Page(s)	50-59
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Hurst Coefficient, Fractional Brownian Motion, Stochastic Differential Equations, Fractional Fokker-Planck Equations, Probability Distribution Function

References

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APA Style

Eliezer Iboukoun Biao, Eric Adechina Alamou. (2017). Influence of the Long-Range Dependence in Rainfall in Modelling Oueme River Basin (Benin, West Africa). American Journal of Biological and Environmental Statistics, 2(4), 50-59. https://doi.org/10.11648/j.ajbes.20160204.15

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ACS Style

Eliezer Iboukoun Biao; Eric Adechina Alamou. Influence of the Long-Range Dependence in Rainfall in Modelling Oueme River Basin (Benin, West Africa). Am. J. Biol. Environ. Stat. 2017, 2(4), 50-59. doi: 10.11648/j.ajbes.20160204.15

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AMA Style

Eliezer Iboukoun Biao, Eric Adechina Alamou. Influence of the Long-Range Dependence in Rainfall in Modelling Oueme River Basin (Benin, West Africa). Am J Biol Environ Stat. 2017;2(4):50-59. doi: 10.11648/j.ajbes.20160204.15

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@article{10.11648/j.ajbes.20160204.15,
  author = {Eliezer Iboukoun Biao and Eric Adechina Alamou},
  title = {Influence of the Long-Range Dependence in Rainfall in Modelling Oueme River Basin (Benin, West Africa)},
  journal = {American Journal of Biological and Environmental Statistics},
  volume = {2},
  number = {4},
  pages = {50-59},
  doi = {10.11648/j.ajbes.20160204.15},
  url = {https://doi.org/10.11648/j.ajbes.20160204.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajbes.20160204.15},
  abstract = {Nowadays, there is evidence that hydrological processes exhibit long-range dependence (LRD), i.e. power-type decay of autocorrelation also known as the Hurst phenomenon. This means that the stationarity assumption of hydrological time series, which has been widely used in the past, cannot be further advocated. The objective of this paper is to detect the long-range dependence in rainfall in Oueme River basin and to understand how the Hurst coefficient influences the river discharge dynamics. To this end, this paper formulated the Hurst phenomenon that characterized hydrological and other geophysical time series. Then, the fractional generalization of the triple relationship between the fractional Brownian motion, the corresponding stochastic differential equations (SDE) describing the river basin and the deterministic fractional Fokker-Planck equations (FPE) is analysed for the modelling of the river discharge dynamics. This fractional FPE provides an essential tool for the study of the dynamics of the river discharge in Oueme River basin.},
 year = {2017}
}

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TY  - JOUR
T1  - Influence of the Long-Range Dependence in Rainfall in Modelling Oueme River Basin (Benin, West Africa)
AU  - Eliezer Iboukoun Biao
AU  - Eric Adechina Alamou
Y1  - 2017/01/23
PY  - 2017
N1  - https://doi.org/10.11648/j.ajbes.20160204.15
DO  - 10.11648/j.ajbes.20160204.15
T2  - American Journal of Biological and Environmental Statistics
JF  - American Journal of Biological and Environmental Statistics
JO  - American Journal of Biological and Environmental Statistics
SP  - 50
EP  - 59
PB  - Science Publishing Group
SN  - 2471-979X
UR  - https://doi.org/10.11648/j.ajbes.20160204.15
AB  - Nowadays, there is evidence that hydrological processes exhibit long-range dependence (LRD), i.e. power-type decay of autocorrelation also known as the Hurst phenomenon. This means that the stationarity assumption of hydrological time series, which has been widely used in the past, cannot be further advocated. The objective of this paper is to detect the long-range dependence in rainfall in Oueme River basin and to understand how the Hurst coefficient influences the river discharge dynamics. To this end, this paper formulated the Hurst phenomenon that characterized hydrological and other geophysical time series. Then, the fractional generalization of the triple relationship between the fractional Brownian motion, the corresponding stochastic differential equations (SDE) describing the river basin and the deterministic fractional Fokker-Planck equations (FPE) is analysed for the modelling of the river discharge dynamics. This fractional FPE provides an essential tool for the study of the dynamics of the river discharge in Oueme River basin.
VL  - 2
IS  - 4
ER  -

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Author Information

Eliezer Iboukoun Biao

West African Science Service Center on Climate Change and Adapted Land Use, GRP Water Resources, University of Abomey-Calavi, Abomey-Calavi, Benin
Eric Adechina Alamou

Laboratory of Applied Hydrology, National Water Institute, University of Abomey-Calavi, Abomey-Calavi, Benin

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Plain Text BibTeX RIS

APA Style

Eliezer Iboukoun Biao, Eric Adechina Alamou. (2017). Influence of the Long-Range Dependence in Rainfall in Modelling Oueme River Basin (Benin, West Africa). American Journal of Biological and Environmental Statistics, 2(4), 50-59. https://doi.org/10.11648/j.ajbes.20160204.15

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ACS Style

Eliezer Iboukoun Biao; Eric Adechina Alamou. Influence of the Long-Range Dependence in Rainfall in Modelling Oueme River Basin (Benin, West Africa). Am. J. Biol. Environ. Stat. 2017, 2(4), 50-59. doi: 10.11648/j.ajbes.20160204.15

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AMA Style

Eliezer Iboukoun Biao, Eric Adechina Alamou. Influence of the Long-Range Dependence in Rainfall in Modelling Oueme River Basin (Benin, West Africa). Am J Biol Environ Stat. 2017;2(4):50-59. doi: 10.11648/j.ajbes.20160204.15

Copy | Download

@article{10.11648/j.ajbes.20160204.15,
  author = {Eliezer Iboukoun Biao and Eric Adechina Alamou},
  title = {Influence of the Long-Range Dependence in Rainfall in Modelling Oueme River Basin (Benin, West Africa)},
  journal = {American Journal of Biological and Environmental Statistics},
  volume = {2},
  number = {4},
  pages = {50-59},
  doi = {10.11648/j.ajbes.20160204.15},
  url = {https://doi.org/10.11648/j.ajbes.20160204.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajbes.20160204.15},
  abstract = {Nowadays, there is evidence that hydrological processes exhibit long-range dependence (LRD), i.e. power-type decay of autocorrelation also known as the Hurst phenomenon. This means that the stationarity assumption of hydrological time series, which has been widely used in the past, cannot be further advocated. The objective of this paper is to detect the long-range dependence in rainfall in Oueme River basin and to understand how the Hurst coefficient influences the river discharge dynamics. To this end, this paper formulated the Hurst phenomenon that characterized hydrological and other geophysical time series. Then, the fractional generalization of the triple relationship between the fractional Brownian motion, the corresponding stochastic differential equations (SDE) describing the river basin and the deterministic fractional Fokker-Planck equations (FPE) is analysed for the modelling of the river discharge dynamics. This fractional FPE provides an essential tool for the study of the dynamics of the river discharge in Oueme River basin.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Influence of the Long-Range Dependence in Rainfall in Modelling Oueme River Basin (Benin, West Africa)
AU  - Eliezer Iboukoun Biao
AU  - Eric Adechina Alamou
Y1  - 2017/01/23
PY  - 2017
N1  - https://doi.org/10.11648/j.ajbes.20160204.15
DO  - 10.11648/j.ajbes.20160204.15
T2  - American Journal of Biological and Environmental Statistics
JF  - American Journal of Biological and Environmental Statistics
JO  - American Journal of Biological and Environmental Statistics
SP  - 50
EP  - 59
PB  - Science Publishing Group
SN  - 2471-979X
UR  - https://doi.org/10.11648/j.ajbes.20160204.15
AB  - Nowadays, there is evidence that hydrological processes exhibit long-range dependence (LRD), i.e. power-type decay of autocorrelation also known as the Hurst phenomenon. This means that the stationarity assumption of hydrological time series, which has been widely used in the past, cannot be further advocated. The objective of this paper is to detect the long-range dependence in rainfall in Oueme River basin and to understand how the Hurst coefficient influences the river discharge dynamics. To this end, this paper formulated the Hurst phenomenon that characterized hydrological and other geophysical time series. Then, the fractional generalization of the triple relationship between the fractional Brownian motion, the corresponding stochastic differential equations (SDE) describing the river basin and the deterministic fractional Fokker-Planck equations (FPE) is analysed for the modelling of the river discharge dynamics. This fractional FPE provides an essential tool for the study of the dynamics of the river discharge in Oueme River basin.
VL  - 2
IS  - 4
ER  -

Copy | Download