Skip to main content
Log in

Monthly and seasonal streamflow forecasting of large dryland catchments in Brazil

  • Research Article
  • Published:
Journal of Arid Land Aims and scope Submit manuscript

Abstract

Streamflow forecasting in drylands is challenging. Data are scarce, catchments are highly human-modified and streamflow exhibits strong nonlinear responses to rainfall. The goal of this study was to evaluate the monthly and seasonal streamflow forecasting in two large catchments in the Jaguaribe River Basin in the Brazilian semi-arid area. We adopted four different lead times: one month ahead for monthly scale and two, three and four months ahead for seasonal scale. The gaps of the historic streamflow series were filled up by using rainfall-runoff modelling. Then, time series model techniques were applied, i.e., the locally constant, the locally averaged, the k-nearest-neighbours algorithm (k-NN) and the autoregressive (AR) model. The criterion of reliability of the validation results is that the forecast is more skillful than streamflow climatology. Our approach outperformed the streamflow climatology for all monthly streamflows. On average, the former was 25% better than the latter. The seasonal streamflow forecasting (SSF) was also reliable (on average, 20% better than the climatology), failing slightly only for the high flow season of one catchment (6% worse than the climatology). Considering an uncertainty envelope (probabilistic forecasting), which was considerably narrower than the data standard deviation, the streamflow forecasting performance increased by about 50% at both scales. The forecast errors were mainly driven by the streamflow intra-seasonality at monthly scale, while they were by the forecast lead time at seasonal scale. The best-fit and worst-fit time series model were the k-NN approach and the AR model, respectively. The rainfall-runoff modelling outputs played an important role in improving streamflow forecasting for one streamgauge that showed 35% of data gaps. The developed data-driven approach is mathematical and computationally very simple, demands few resources to accomplish its operational implementation and is applicable to other dryland watersheds. Our findings may be part of drought forecasting systems and potentially help allocating water months in advance. Moreover, the developed strategy can serve as a baseline for more complex streamflow forecast systems.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Araújo J A de A. 1990. Dams in Northeastern Brazil: an experience in the semi-arid region (2nd ed.). Fortaleza: DNOCS, 328. (in Portuguese)

    Google Scholar 

  • Bennett J C, Wang Q J, Robertson D E, et al. 2017. Assessment of an ensemble seasonal streamflow forecasting system for Australia. Hydrology and Earth System Sciences, 21: 6007–6030.

    Article  Google Scholar 

  • Block P J, Souza Filho F A, Sun L, et al. 2009. A streamflow forecasting framework using multiple climate and hydrological models. Journal of the American Water Resources Association, 45(4): 828–843.

    Article  Google Scholar 

  • Collischon W, Tucci C E M, Clarke R T, et al. 2007. Medium-range reservoir inflow predictions based on quantitative precipitation forecasts. Journal of Hydrology, 344(1–2): 112–122.

    Article  Google Scholar 

  • Costa A C, Bronstert A, de Araújo J C. 2012a. A channel transmission losses model for different dryland rivers. Hydrology and Earth System Sciences, 16(4): 1111–1135.

    Article  Google Scholar 

  • Costa A C, Bronstert A, Kneis D. 2012b. Probabilistic flood forecasting for a mountainous headwater catchment using a nonparametric stochastic dynamic approach. Hydrological Sciences Journal, 57(1): 10–25.

    Article  Google Scholar 

  • Costa A C, Foerster S, de Araújo J C, et al. 2013. Analysis of channel transmission losses in a dryland river reach in north-eastern Brazil using streamflow series, groundwater level series and multi-temporal satellite data. Hydrological Processes, 27(7): 1046–1060.

    Article  Google Scholar 

  • Crochemore L, Ramos M H, Pappenberger F. 2016. Bias correcting precipitation forecasts to improve the skill of seasonal streamflow forecasts. Hydrology and Earth System Sciences, 20(9): 3601–3618.

    Article  Google Scholar 

  • Delgado J M, Voss S, Bürger G, et al. 2018. Seasonal drought prediction for semiarid northeast Brazil: Verification of six hydrometeorological forecast products. Hydrology and Earth System Sciences, 22(9): 5041–5056.

    Article  Google Scholar 

  • Fioreze A P, Bubel A P M, Callou A É P, et al. 2012. The water issue in the Northeast Brasília: Ministry of Science and Technology. [2020-01-24]. http://livroaberto.ibict.br/handle/1/669. (in Portuguese)

  • Formiga-Johnsson R M, Kemper K. 2005. Institutional and Policy Analysis of River Basin Management: The Jaguaribe River Basin, Ceará, Brazil. New York: Social Science Research Network, 42.

    Book  Google Scholar 

  • Frischkorn H, Santiago M F, de Araújo J C. 2003. Water resources of Ceará and Piauí. In: Gaiser T, Krol M, Frischkorn H, et al, Global Change and Regional Impacts. Berlin: Springer-Verlag, 87–94.

    Chapter  Google Scholar 

  • FUNCEME (Foundation for Meteorology and Water Resources of the State of Ceará). 2008. Mapping of the surface of the water bodies in Brazil. Fortaleza: FUNCEME, 108. (in Portuguese)

    Google Scholar 

  • Güntner A, Bronstert A. 2004. Representation of landscape variability and lateral redistribution processes for large-scale hydrological modelling in semi-arid areas. Journal of Hydrology, 297(1–4): 136–161.

    Article  Google Scholar 

  • Güntner A, Krol M S, de Araújo J C, et al. 2004. Simple water balance modelling of surface reservoir systems in a large data-scarce semiarid region. Hydrological Sciences Journal, 49(5): 901–918.

    Article  Google Scholar 

  • Gutierrez A P A, Engle N L, de Nys E, et al. 2014. Drought preparedness in Brazil. Weather and Climate Extremes, 3: 95–106.

    Article  Google Scholar 

  • Hastenrath S, Heller L. 1977. Dynamics of climatic hazards in northeast Brazil. Quarterly Journal of the Royal Meteorological Society, 103(435): 77–92.

    Article  Google Scholar 

  • He Z, Wen X, Liu H, et al. 2014. A comparative study of artificial neural network, adaptive neuro fuzzy inference system and support vector machine for forecasting river flow in the semiarid mountain region. Journal of Hydrology, 509: 379–386.

    Article  Google Scholar 

  • Kalra A, Miller W P, Lamb K W, et al. 2012. Using large-scale climatic patterns for improving long lead time streamflow forecasts for Gunnison and San Juan River Basins. Hydrological Processes, 27(11): 1543–1559.

    Article  Google Scholar 

  • Kalra A, Li L, Li X, et al. 2013. Improving streamflow forecast lead time using oceanic-atmospheric oscillations for Kaidu River Basin, Xinjiang, China. Journal of Hydrologic Engineering, 18(8): 1031–1040.

    Article  Google Scholar 

  • Kantz H, Schreiber T. 2004. Nonlinear Time Series Analysis (2nd ed.). Cambridge: Cambridge University Press, 388.

    Google Scholar 

  • Kirchner J W. 2009. Catchments as simple dynamical systems: Catchment characterization, rainfall-runoff modelling, and doing hydrology backward. Water Resources Research, 45(2): 1–34.

    Article  Google Scholar 

  • Klemeš V. 1986. Operational testing of hydrological simulation models. Hydrological Sciences Journal, 31(1): 13–24.

    Article  Google Scholar 

  • Koutsoyiannis D. 2005. Hydrologic persistence and the hurst phenomenon. In: Lehr J H, Keely J. The Encyclopedia of Water. New York: John Wiley & Sons, Inc., 27.

    Google Scholar 

  • Kwon H H, Souza Filho F A, Sun L, et al. 2012. Uncertainty assessment of hydrologic model and climate forecast model in Northern Brazil. Hydrological Processes, 26(25): 3875–3885.

    Article  Google Scholar 

  • Lopes J C, Braga J B F, Conejo J L. 1981. Hydrological simulation: Applications of a simplified model. In: III Brazilian Symposium for Water Resources. Fortaleza: ABRH, 42–62. (in Portuguese)

    Google Scholar 

  • Machado C J F, Santiago M M F, Mendonça L A R, et al. 2007. Hydrogeochemical and flow modeling of aquitard percolation in the cariri valley-northeast Brazil. Aquatic Geochemistry, 13: 187–196.

    Article  Google Scholar 

  • Mamede G L, Araújo N A M, Schneider C M, et al. 2012. Overspill avalanching in a dense reservoir network. PNAS, 109(19): 7191–7195.

    Article  Google Scholar 

  • Moradkhani H, Meier M. 2010. Long-lead water supply forecast using large-scale predictors and independent component analysis. Journal of Hydrology Engineering, 15(10): 744–762.

    Article  Google Scholar 

  • Moura A D, Shukla J. 1981. On the dynamics of droughts in northeast Brazil: Observations, theory, and numerical experiments with a general circulation model. Journal of the Atmospheric Sciences, 38(12): 2653–2675.

    Article  Google Scholar 

  • Nobre P, Shukla J. 1996. Variations of sea surface temperature, wind stress, and rainfall over the tropical Atlantic and South America. Journal of Climate, 9(10): 2464–2479.

    Article  Google Scholar 

  • Nunes C M. 2012. Project of integration of the San Francisco River with the watersheds in the Northeast-PISF. In: The water issue in the Northeast. Brasília: Ministry of Science and Technology. [2020-01-24]. http://livroaberto.ibict.br/handle/1/669. (in Portuguese)

  • Perreti C, Munch S, Sugihara G. 2013. Model-free forecasting outperforms the correct mechanistic model for simulated and experimental data. PNAS, 110(13): 5253–5257.

    Article  Google Scholar 

  • Philander S G. 1990. El Niño, La Niña, and the Southern Oscillation. International Geophysics Series (vol. 46), San Diego: Academic Press, 293.

    Book  Google Scholar 

  • Pilz T, Voss S, Vormoor K, et al. 2019. Seasonal drought prediction for semiarid northeast Brazil: what is the added value of a process-based hydrological model? Hydrology and Earth System Sciences, 23: 1951–1971.

    Article  Google Scholar 

  • Porporato A, Ridolfi L. 2001. Multivariate nonlinear prediction of river flows. Journal of Hydrology, 248(1–4): 109–122.

    Article  Google Scholar 

  • Rao V B, Hada K. 1990. Characteristics of rainfall over Brazil: annual variations and connections with southern oscillation. Theoretical and Applied Climatology, 42: 81–91.

    Article  Google Scholar 

  • Robertson D E, Wang Q J. 2012. A Bayesian approach to predictor selection for seasonal streamflow forecasting. Journal of Hydrometeorology, 13(1): 155–171.

    Article  Google Scholar 

  • Rodrigues R R, Haarsma R J, Campos E J D, et al 2011. The impacts of inter-El Nino variability on the Tropical Atlantic and Northeast Brazil climate. Journal of Climate, 24(13): 3402–3422.

    Article  Google Scholar 

  • Seibert M, Merz B, Apel H. 2017. Seasonal forecasting of hydrological drought in the Limpopo Basin: a comparison of statistical methods. Hydrology and Earth System Sciences, 21: 1611–1629.

    Article  Google Scholar 

  • Shukla S, Lettenmaier D P. 2011. Seasonal hydrologic prediction in the United States: understanding the role of initial hydrologic conditions and seasonal climate forecast skill. Hydrology and Earth System Sciences, 15: 3529–3538.

    Article  Google Scholar 

  • Sittichok K, Gado D A, Seidou O, et al. 2016. Statistical seasonal rainfall and streamflow forecasting for the Sirba watershed, West Africa, using sea-surface temperatures. Hydrological Sciences Journal, 61(5): 805–815.

    Google Scholar 

  • Sivakumar B, Singh V P. 2012. Hydrologic system complexity and nonlinear dynamic concepts for a catchment classification framework. Hydrology and Earth System Sciences, 16: 4119–4131.

    Article  Google Scholar 

  • Souza Filho F A, Lall U. 2003. Seasonal to interannual ensemble streamflow forecasts for Ceara, Brazil: Applications of a multivariate, semiparametric algorithm. Water Resources Research, 39(11): 1–13.

    Article  Google Scholar 

  • SUDENE (Superintendência de Desenvolvimento do Nordeste). 1980. Plan for the Integrated Utilization of the Water Resources in Northeastern Brazil. Recife: SUDENE, 712. (in Portuguese)

    Google Scholar 

  • Takens F. 1980. Detecting strange attractors in turbulence. In: Rang D, and Young L S. Lecture Notes in Mathematics. Berlin: Springer, 366–381.

    Google Scholar 

  • Tongal H. 2020. Comparison of local and global approximators in multivariate chaotic forecasting of daily streamflow. Hydrological Sciences Journal, 65(7): 1129–1144.

    Article  Google Scholar 

  • Trambauer P, Werner M, Winsemius H C, et al. 2015. Hydrological drought forecasting and skill assessment for the Limpopo River basin, southern Africa. Hydrology and Earth System Sciences, 19: 1695–1711.

    Article  Google Scholar 

  • Uvo C B, Repelli C A, Zebiak S E, et al. 1998. The relationships between tropical Pacific and Atlantic SST and northeast Brazil monthly precipitation. Journal of Climate, 11(4): 551–562.

    Article  Google Scholar 

  • Vrugt J A, ter Braak C J F, Clark M P, et al. 2008. Treatment of input uncertainty in hydrologic modeling: Doing hydrology backward with Markov chain Monte Carlo simulation. Water Resources Research, 44(12): 1–15.

    Article  Google Scholar 

  • Vrugt J A, ter Braak C J F, Diks C G H, et al. 2009. Accelerating Markov chain Monte Carlo simulation by differential evolution with self-adaptive randomized subspace sampling. International Journal of Nonlinear Sciences and Numerical Simulation, 10(3): 273–290.

    Article  Google Scholar 

  • Vrugt J A. 2016. Markov chain Monte Carlo simulation using the DREAM software package: Theory, concepts, and MATLAB implementation. Environmental Modelling and Software, 75: 273–316.

    Article  Google Scholar 

  • Werner P C, Gerstengarbe F W. 2003. The climate of Piauí and Ceará. In: Gaiser T, Krol M, Frischkorn H, et al. Global Change and Regional Impacts. Berlin: Springer-Verlag, 81–86.

    Chapter  Google Scholar 

  • Wilks D S. 2005. Statistical Methods in the Atmospheric Sciences. Burlington: Academic Press, 704.

    Google Scholar 

  • Wu C L, Chau K W, Li Y S. 2009. Predicting monthly streamflow using data-driven models coupled with data-preprocessing techniques. Water Resources Research, 45(8), W08432, doi:https://doi.org/10.1029/2007WR006737.

    Article  Google Scholar 

  • Wu C L, Chau K W. 2010. Data-driven models for monthly streamflow time series prediction. Engineering Applications of Artificial Intelligence, 23(8): 1350–1367.

    Article  Google Scholar 

  • Yassen Z M, Jaafar O, Deo R C, et al. 2016. Stream-flow forecasting using extreme learning machines: A case study in a semiarid region in Iraq. Journal of Hydrology, 542: 603–614.

    Article  Google Scholar 

  • Yossef N C, Winsemius H, Weerts A, et al. 2013. Skill of a global seasonal streamflow forecasting system, relative roles of initial conditions and meteorological forcing. Water Resources Research, 49(8): 4687–4699.

    Article  Google Scholar 

  • Yuan X. 2016. An experimental seasonal hydrological forecasting system over the Yellow River basin — Part 2: The added value from climate forecast models. Hydrology and Earth System Sciences, 20: 2453–2466.

    Article  Google Scholar 

  • Yuan X, Ma F, Wang L, et al. 2016. An experimental seasonal hydrological forecasting system over the Yellow River basin — Part 1: Understanding the role of initial hydrological conditions. Hydrology and Earth System Sciences, 20: 2437–2451.

    Article  Google Scholar 

Download references

Acknowledgements

We thank the Brazilian Water Agency and the Water Company of the State of Ceará of Brazil for streamflow and reservoir data availability. The first author thanks the Brazilian National Council for Scientific and Technological Development for the Post-Doc scholarship (155814/2018-4).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alexandre C. Costa.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Costa, A.C., Estacio, A.B.S., de Souza Filho, F.d.A. et al. Monthly and seasonal streamflow forecasting of large dryland catchments in Brazil. J. Arid Land 13, 205–223 (2021). https://doi.org/10.1007/s40333-021-0097-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40333-021-0097-y

Keywords

Navigation