Case Studies
Jun 21, 2016

Entropy-Based Index for Spatiotemporal Analysis of Streamflow, Precipitation, and Land-Cover

Publication: Journal of Hydrologic Engineering
Volume 21, Issue 11

Abstract

The hydrological behavior of a watershed is influenced by a multitude of factors that interact differently in time and space. The perspicacity of these interactions is critical for advancing water resource management. This article discusses an approach that entails an entropy-based disorder index for spatio-temporal pattern analysis. Based on a case study, the article reported the pertinence of the index for analyzing the hydrologic components of the watershed. Specifically, the approach examines the spatio-temporal patterns of streamflow, precipitation, and land-cover across the watershed. Indeed, each of these three variables is time-dependent and plays a determinant role in terrestrial hydrology. However, their joint functionality is more complex to elucidate, even though these variables frequently display meaningful variability in time and space. Within this contextual frame, application of the entropy-based index reveals prominent signals that are useful for water resources assessment. Moreover, the analysis using the entropy-based index provides realistic insights into the interactions between these hydrologic factors that interplay at the watershed scale.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The authors would like to acknowledge Global Runoff Data Cente, the Direction Generale de l’Eau DGE-Benin, and particularly Mr. Joel Tossou for the assistance regarding the discharge data. Also, the authors acknowledge the Earth Observation System of NASA for releasing the processed leaf area index data.

References

Aravena, J. C., and Luckman, B. H. (2009). “Spatio-temporal rainfall patterns in southern South America.” Int. J. Climatol., 29(14), 2106–2120.
Balzter, H. (2000). “Markov chain models for vegetation dynamics.” Ecol. Modell., 126(2), 139–154.
Barthel, R., et al. (2009). “Integrated assessment of groundwater resources in the Oueme basin, Benin, West Africa.” Phys. Chem. Earth Parts A/B/C, 34(4), 236–250.
Berihun, M. L., Melesse, A. M., and Zemadim, B. (2016). “Spatiotemporal variability of hydrological variables of Dapo Watershed, Upper Blue Nile Basin, Ethiopia.” Landscape dynamics, soils and hydrological processes in varied climates, Springer, Switzerland, 141–161.
Carrera-Hernández, J. J., and Gaskin, S. J. (2007). “Spatio temporal analysis of daily precipitation and temperature in the Basin of Mexico.” J. Hydrol., 336(3), 231–249.
Deng, Z. (2007). Vegetation dynamics in Oueme Basin, Benin, West Africa, Cuvillier, Göttingen, Germany.
Descroix, L., et al. (2009). “Spatio-temporal variability of hydrological regimes around the boundaries between Sahelian and Sudanian areas of West Africa: A synthesis.” J. Hydrol., 375(1), 90–102.
Gevaert, A. I., Parinussa, R. M., Renzullo, L. J., van Dijk, A. I. J. M., and de Jeu, R. A. M. (2016). “Spatio-temporal evaluation of resolution enhancement for passive microwave soil moisture and vegetation optical depth.” Int. J. Appl. Earth Obs. Geoinf., 45, 235–244.
Haan, C. T., Allen, D. M., and Street, J. O. (1976). “A Markov chain model of daily rainfall.” Water Resour. Res., 12(3), 443–449.
Haan, C. T., Barfield, B. J., and Hayes, J. C. (1994). Design hydrology and sedimentology for small catchments, Academic Press, San Diego.
Harris, I., Jones, P. D., Osborn, T. J., and Lister, D. H. (2014). “Updated high-resolution grids of monthly climatic observations—The CRU TS3.10 dataset.” Int. J. Climatol., 34(3), 623–642.
Hartley, R. V. (1928). “Transmission of information.” Bell Syst. Tech. J., 7(3), 535–563.
Hawkins, E., and Sutton, R. (2009). “The potential to narrow uncertainty in regional climate predictions.” Bull. Am. Meteorol. Soc., 90(8), 1095–1107.
Jain, A. K. (2010). “Data clustering: 50 years beyond K-means.” Pattern Recognit. Lett., 31(8), 651–666.
Merz, R., Blöschl, G., and Parajka, J. (2006). “Spatio-temporal variability of event runoff coefficients.” J. Hydrol., 331(3), 591–604.
Mishra, A. K., Özger, M., and Singh, V. P. (2009). “An entropy based investigation into the variability of precipitation.” J. Hydrol., 370(1–4), 139–154.
Monteith, J. L. (1966). “The photosynthesis and transpiration of crops.” Exp. Agric., 2(1), 1–14.
Nyquist, H. (1928). “Certain topics in telegraph transmission theory.” Trans. AIEE, 617–644.
Rosenzweig, C., et al. (2008). “Attributing physical and biological impacts to anthropogenic climate change.” Nature, 453(7193), 353–357.
Shannon, C. E. (1948). “A mathematical theory of communication.” Bell Syst. Tech. J., 27(379–423), 623–656.
Singh, V. P. (1976). “Derivation of time of concentration.” J. Hydrol., 30(1), 147–165.
Singh, V. P. (1997). “The use of entropy in hydrology and water resources.” Hydrol. Processes, 11(6), 587–626.
Singh, V. P. (2013). Entropy theory and its application in environmental and water engineering, Wiley, New York, 666.
Sohoulande Djebou, D. C. (2015). “Integrated approach to assessing streamflow and precipitation alterations under environmental change: Application in the Niger River basin.” J. Hydrol. Reg. Stud., 4, 571–582.
Sohoulande Djebou, D. C., and Singh, V. P. (2015). “Retrieving vegetation growth patterns from soil moisture, precipitation, and temperature using maximum entropy.” Ecol. Modell., 309, 10–21.
Sohoulande Djebou, D. C., Singh, V. P., and Frauenfeld, O. W. (2014). “Analysis of watershed topography effects on summer precipitation variability in the southwestern United States.” J. Hydrol., 511C, 838–849.
Sohoulande Djebou, D. C., Singh, V. P., and Frauenfeld, O. W. (2015). “Vegetation response to precipitation across the aridity gradient of the southwestern United States.” J. Arid. Environ., 115, 35–43.
Szilagyi, J., Balint, G., and Csik, A. (2006). “Hybrid, Markov chain-based model for daily streamflow generation at multiple catchment sites.” J. Hydrol. Eng., 245–256.
Usher, M. B. (1980). “Modeling ecological succession, with particular reference to Markovian models.” Vegetatio, 46, 11–18.
Xu, C. Y., and Singh, V. P. (2004). “Review on regional water resources assessment models under stationary and changing climate.” Water Resour. Manage., 18(6), 591–612.
Yakowitz, S. J. (1979). “A nonparametric Markov model for daily river flow.” Water Resour. Res., 15(5), 1035–1043.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 21Issue 11November 2016

History

Received: Jan 1, 2016
Accepted: Apr 18, 2016
Published online: Jun 21, 2016
Published in print: Nov 1, 2016
Discussion open until: Nov 21, 2016

Permissions

Request permissions for this article.

Authors

Affiliations

Dagbegnon C. Sohoulande Djebou, Ph.D. [email protected]
Research Associate, Dept. of Biological and Agricultural Engineering, Texas A&M Univ., Scoates Hall, 2117 TAMU, College Station, TX 77843 (corresponding author). E-mail: [email protected]; [email protected]; [email protected]
Vijay P. Singh, Ph.D., Dist.M.ASCE [email protected]
Professor, Dept. of Biological and Agricultural Engineering, Texas A&M Univ., Scoates Hall, 2117 TAMU, College Station, TX 77843; Zachry Dept. of Civil Engineering, Texas A&M Univ., 3136 TAMU, College Station, TX 77843. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share