Skip to main content

A Spatial Assessment of the Average Annual Water Balance in Andalucia

  • Conference paper
geoENV IV — Geostatistics for Environmental Applications

Part of the book series: Quantitative Geology and Geostatistics ((QGAG,volume 13))

  • 565 Accesses

Abstract

A simple methodology to assess spatially the average annual water balance in the Region of Andalusia is presented, taking advantage of previously produced maps of average annual precipitation (P) and reference crop evapotranspiration (ET o ). Using a simple bucket model, daily series of actual evapotranspiration and total runoff were calculated, from which average annual actual evapotranspiration, E, and total runoff, Q, were obtained. Considering average annual values, the water balance problem of a homogeneous land area reduces to the question: How is P split up between E and Q? Budyko’s empirical relationship offers an answer to this question, relating the index of dryness, R=ET o /P, to the ratio between E and P. Similar relations are used to transform a map of R into first estimates of E and Q. These maps are consecutively used as local mean maps in simple kriging with varying local means (SKlm) or as an external drift variable in kriging with an external drift (KED). The cross-validation statistics show larger errors for the Q estimates, due to its skewed distribution, but only small differences are observed between SKlm and KED. Finally, block kriging is used to produce maps of E and Q with both methods.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Addiscott, T.M. and G. Tuck, 2001. Non-linearity and error modelling in soil processes. Eur. J. Soil Sci., 52:129–138.

    Google Scholar 

  2. Alley, W.M., 1984. On the treatment of evapotranspiration, soil moisture accounting, and aquifer recharge in monthly water balance models. Water Resour. Res., 20:1137–1149.

    Google Scholar 

  3. Bailey, H.P., 1979. Capítulo 3. Semi-Arid Climates: Their Definition and Distribution. In: A.E. Hall, G.H. Cannell and H.W. Lawton (Eds.), Agriculture in Semi-Arid Environments, Springer-Verlag, Berlin.

    Google Scholar 

  4. Boughton, W.C., 1968. A mathematical catchment model for estimating run-off. J. Hydrol. N.Z., 7:75–100.

    Google Scholar 

  5. Broadbridge, P and I. White, 1988. Constant rate rainfall infiltration: A versatile nonlinear model. 1. Analytic Solution. Water Resour. Res., 24:145–154

    Google Scholar 

  6. Brutsaert, W., 1982. Evaporation into the Atmosphere. Theory, History, and Applications. D. Reidel Publishing Company, Dordrecht.

    Google Scholar 

  7. Budyko, M.I., 1974. Climate and life, Academic Press, New York.

    Google Scholar 

  8. Deutsch, C.V. and A.G. Journel, 1998. GSLIB. Geostatistical software library and user’s guide, 2nd edition. Oxford University Press, New York.

    Google Scholar 

  9. Eagleson, P.S., 1981. Dynamic hydro-thermal balances at macroscale. In: P.S. Eagleson (Ed.), Land surface processes in atmospheric general circulation models. Papers presented at the World Climate Research Programme Study Conference, Greenbelt, Maryland, Cambridge University Press, pp 289–357.

    Google Scholar 

  10. Goovaerts, P., 1997. Geostatistics for natural resources evaluation. Oxford University Press, New York.

    Google Scholar 

  11. Heuvelink, G.B.M. and E.J. Pebesma, 1999. Spatial aggregation and soil process modeling. Geoderma, 89:47–65.

    Article  Google Scholar 

  12. Kroes, J.G., J.G. Wesseling and J.C. van Dam, 2000. Integrated modelling of the soil-water-atmosphere-plant system using the model SWAP 2.0. An overview of theory and application. Hydrol. Proc., 14:1993–2002.

    Article  Google Scholar 

  13. Lettau, H., 1969. Evapotranspiration climatonomy. 1. A new approach to numerical prediction of monthly evapotranspiration, runoff and soil moisture storage. Mon. Wea. Rev., 97:691–699.

    Google Scholar 

  14. Lettau, H.H. and M.W. Baradas, 1973. Evaporation Climatonomy II: Refinement of parameterization, exemplified by application to the Mabacan river watershed. Mon. Wea. Rev., 101:636–649.

    Google Scholar 

  15. Milly P.C.D, 1993. An analytic solution of the stochastic storage problem applicable to soil water. Water Resour. Res., 29:3755–3758.

    Article  Google Scholar 

  16. Milly P.C.D., 1994a. Climate, interseasonal storage of soil water, and the annual water balance. Adv. Water Resour. Res., 17:19–24.

    Google Scholar 

  17. Milly P.C.D, 1994b. Climate, soil water storage, and the average annual water balance. Water Resour. Res., 30:2143–2156.

    Article  Google Scholar 

  18. Ministerio de Medio Ambiente, 1998. El libro blanco del agua en España, M.M.A., Madrid.

    Google Scholar 

  19. Panatier, Y., 1996. VARIOWIN: Software for spatial data analysis in 2D. Springer Verlag, New York.

    Google Scholar 

  20. Schaap, M.G., F.J. Leij and M. Th van Genuchten, 2001. Rosetta: a computer program for estimating soil hydraulic parameters with hierarchical pedotransfer functions. J. Hydrol., 251:163–176.

    Google Scholar 

  21. Stein, A., I.G. Staritsky, J. Bouma, A.C. van Eijnsbergen and A.K. Bregt, 1991. Simulation of moisture deficits and areal interpolation by universal cokriging. Water Resour. Res., 27:1963–1973.

    Article  Google Scholar 

  22. Vanderlinden, K., 2001. Spatial estimation of the soil water storage capacity for water balance modelling in southern Spain. Communication presented at Pedometrics 2001, 4th conference of the Working Group on Pedometrics of the International Union of Soil Science, September 19–21, 2001, Gent, Belgium.

    Google Scholar 

  23. Vanderlinden, K, 2002. Análisis de procesos hidrológicos a diferentes escalas espaciotemporales. PhD thesis, Departamento de Agronomía, Universidad de Córdoba, Córdoba, Spain (in Spanish).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Kluwer Academic Publishers

About this paper

Cite this paper

Vanderlinden, K., Giráldez, J.V., Van Meirvenne, M. (2004). A Spatial Assessment of the Average Annual Water Balance in Andalucia. In: Sanchez-Vila, X., Carrera, J., Gómez-Hernández, J.J. (eds) geoENV IV — Geostatistics for Environmental Applications. Quantitative Geology and Geostatistics, vol 13. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2115-1_13

Download citation

  • DOI: https://doi.org/10.1007/1-4020-2115-1_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-2007-0

  • Online ISBN: 978-1-4020-2115-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics