Skip to main content
Log in

Spatial uncertainty analysis of the saturated soil hydraulic conductivity in a subtropical watershed

  • Original Article
  • Published:
Environmental Earth Sciences Aims and scope Submit manuscript

Abstract

The high spatial variability of the saturated soil hydraulic conductivity (Ksat) and the effort required for its data sampling have been a challenge for soil scientists to obtain its representativeness at a scale resolution required by watershed management. The objective of this work was to simulate the spatial variability of Ksat and evaluate its uncertainties through sequential Gaussian simulation (SGS) in a subtropical watershed, Southern Brazil. Ksat data were obtained in an experimental grid of 179 points established in a watershed with shallow soils and relief varying from undulating to strong undulating. Experimental and theoretical semivariograms were calculated and the SGS was used to generate 100 equiprobable fields. Local and spatial uncertainties of Ksat were assessed. Lower Ksat uncertainty estimates were found in densely sampled areas. Higher Ksat uncertainty estimates were obtained in soils located at steeper areas of the watershed and on soils formed alongside the main watercourse. Spatial variability maps of Ksat are quite useful for supporting hydrological simulation of the floods in watersheds, identifying areas more prone to groundwater recharge and the effects of different tillage systems on soil water dynamics at watershed scale as well.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Source: Google Earth

Similar content being viewed by others

References

  • Alvarenga LA, de Mello CR, Colombo A, Cuartas LA, Bowling LC (2016) Assessment of land cover change on the hydrology of a Brazilian headwater watershed using the distributed hydrology-soil-vegetation model. Catena 143:7–17

    Google Scholar 

  • Bai T, Tahmasebi P (2022) Sequential Gaussian simulation for geosystems modeling: a machine learning approach. Geosci Front 13:101258

    Google Scholar 

  • Baiamonte G, Bagarello V, D’Asaro F, Palmeri V (2017) Factors influencing point measurement of near surface saturated soil hydraulic conductivity in a small Sicilian basin. Land Degrad Dev 28:970–982

    Google Scholar 

  • Becker R, Gebremichael M, Märker M (2018) Impact of soil surface and subsurface properties on soil saturated hydraulic conductivity in the semi-arid Walnut Gulch Experimental Watershed, Arizona, USA. Geoderma 322:112–120

    Google Scholar 

  • Beskow S, Timm LC, Tavares VEQ, Caldeira TL, Aquino LS (2016) Potential of the LASH model for water resources management in data-scarce basins: a case study of the Fragata River basin, southern Brazil. Hydrol Sci J 61:2567–2578

    Google Scholar 

  • Blake GR, Hartge KH (1986) Bulk density. In: Klute A (ed) Methods of soil analysis. Part 1, 2nd edn. Agronomy Monograph, ASA-SSSA, Madison, WI, pp 363–382

    Google Scholar 

  • Boluwade A, Madramootoo CA (2015) Geostatistical independent simulation of spatially correlated soil variables. Comput Geosci 85:3–15

    Google Scholar 

  • Bonell M, Purandara BK, Venkatesh B, Krishnaswamy J, Acharya HAK, Singh UV, Chappell N (2010) The impact of forest use and reforestation on soil hydraulic conductivity in the Western Ghats of India: implications for surface and sub-surface hydrology. J Hydrol 391(1–2):47–62

    Google Scholar 

  • Bravo S, González-Chang M, Dec D, Valle S, Wendroth O, Zúñiga F, Dörner J (2020) Using wavelet analyses to identify temporal coherence in soil physical properties in a volcanic ash-derived soil. Agric For Meteorol 285–286:107909

    Google Scholar 

  • Caers J (2000) Adding local accuracy to direct sequential simulation. Math Geol 2:815–850

    Google Scholar 

  • Centeno LN, Hu W, Timm LC, She D, Ferreira AS, Barros WS, Beskow S, Caldeira TL (2020) Dominant control of macroporosity on saturated soil hydraulic conductivity at multiple scales and locations revealed by wavelet analyses. J Soil Sci Plant Nutr. https://doi.org/10.1007/s42729-020-00239-5

    Article  Google Scholar 

  • Deutsch CV, Journel AG (1998) GSLIB Geostatistical software library and user’s guide. Oxford University Press, New York, p 369

    Google Scholar 

  • Elhakeem M, Papanicolaou ANT, Wilson CG, Chang Y-J, Burras L, Abban B, Wysocki DA, Wills S (2018) Understanding saturated hydraulic conductivity under seasonal changes in climate and land use. Geoderma 315:75–97

    Google Scholar 

  • Empresa Brasileira de Pesquisa Agropecuária (EMBRAPA) (2006) Sistema brasileiro de classificação de solos. Embrapa Solos Rio de Janeiro, p 306

  • Environmental Systems Research Institute—ESRI (2014) versão 10.1. ArcGIS. Redlands, CA

  • Godoy VA, Zuquette LV, Gómez-Hernández JJ (2018) Stochastic analysis of three-dimensional hydraulic conductivity upscaling in a heterogeneous tropical soil. Comput Geosci 100:174–187

    Google Scholar 

  • Godoy VA, Zuquette LV, Gómez-Hernández JJ (2019) Spatial variability of hydraulic conductivity and solute transport parameters and their spatial correlations to soil properties. Geoderma 339:59–69

    Google Scholar 

  • Goovaerts P (1997) Geostatistics for natural resources evaluation. Applied geostatistics series. Oxford University Press, Oxford, p 483

    Google Scholar 

  • Goovaerts P (2000) Geostatistical approaches for incorporating elevation into the spatial interpolation of rainfall. J Hydrol 228:113–129

    Google Scholar 

  • Goovaerts P (2001) Geostatistical modelling of uncertainty in soil science. Geoderma 103:3–26

    Google Scholar 

  • Gupta S, Lehmann P, Bonetti S, Papritz A, Or D (2021) Global prediction of soil saturated hydraulic conductivity using random forest in a covariate-based geotransfer function (CoGTF) framework. J Adv Model Earth Syst 13:e2020MS002242

    Google Scholar 

  • Hu W, She D, Shao MA, Chun KP, Si B (2015) Effects of initial soil water content and saturated hydraulic conductivity variability on small watershed runoff simulation using LISEM. Hydrol Sci J 60:1137–1154

    Google Scholar 

  • Instituto Brasileiro de Geografia e Estatística—(IBGE) (1986) Geologia, geomorfologia, pedologia, vegetação, uso potencial da terra, Rio de Janeiro

  • Isaaks, EH (1990) The application of Monte Carlo methods to the analysis of spatially correlated data, PhD Thesis, Leland Stanford Junior University, USA, p 213

  • Isaaks EH, Srivastava RM (1989) An introduction to applied geostatistics. University Press, Oxford, p 592

    Google Scholar 

  • Kim HR, Kim KH, Yu S, Moniruzzaman M, Hwang SH, Lee GT, Yun ST (2019) Better assessment of the distribution of As and Pb in soils in a former smelting area, using ordinary co-kriging and sequential Gaussian cosimulation of portable X-ray fluorescence (PXRF) and ICP-AES data. Geoderma 341:26–38

    Google Scholar 

  • Klute A (1986) Water retention: laboratory methods. In: Klute A (ed) Methods of soil analysis Part 1, 2nd edn. Agronomy Monograph, ASA-SSSA, Madison, WI, pp 635–662

    Google Scholar 

  • Klute A, Dirksen C (1986) Hydraulic conductivity and diffusivity: laboratory methods. In: Klute A (ed) Methods of soil analysis. Part 1—physical and mineralogical methods. American Society of Agronomy, Madison, WI, pp 687–734

    Google Scholar 

  • Kuinchtner A, Buriol GA (2001) Clima do estado do Rio Grande do Sul segundo a classificação climática de Köppen e Thornthwaite. Discip Sci 2:171–182

    Google Scholar 

  • Lark RM, Minasny B (2018) Classical soil geostatistics. In: McBratney AB, Minasny B, Stockmann U (eds) Pedometrics. Springer, Basel, pp 291–340

    Google Scholar 

  • Leij FJ, Romano N, Palladino M, Schaap MG, Coppola A (2004) Topographical attributes to predict soil hydraulic properties along a hillslope transect. Water Resour Res 40:W02407. https://doi.org/10.1029/2002WR001641

    Article  Google Scholar 

  • Libohova Z, Schoeneberger P, Bowling LC, Owens PR, Wysocki D, Wills S, Williams CO, Seybold C (2018) Soil systems for upscaling saturated hydraulic conductivity for hydrological modeling in the critical zone. Vadose Zone J 17:170051

    Google Scholar 

  • Madenoglu S, Atalay F, Erpul G (2020) Uncertainty assessment of soil erodibility by direct sequential Gaussian simulation (DSIM) in semiarid land uses. Soil Till Res 204:104731

    Google Scholar 

  • Mello CR, Viola MR, Owens PR, Mello JM, Beskow S (2015) Interpolation methods for improving the RUSLE R-factor mapping in Brazil. J Soil Water Conserv 70:182–197

    Google Scholar 

  • Mello CR, Ávila LF, Lin H, Terra MCNS, Chappell NA (2019) Water balance in a neotropical forest catchment of southeastern Brazil. Catena 173:9–21

    Google Scholar 

  • Mitchell-Fostyk B, Haruna S (2021) Spatial and fractal characterization of soil hydraulic properties along a catena. Soil Sci Soc Am J 85:1710–1726

    Google Scholar 

  • Nossack FA (2016) Hydraulic conductivity simulation in soils of Pardo river sub-basin—SP using multivariate geoestatistics. PhD dissertation, State University of São Paulo, Botucatu, p 92

  • Nussbaumer R, Mariethoz G, Gravey M, Gloaguen E, Holliger K (2018) Accelerating sequential Gaussian simulation with a constant path. Comput Geosci 112:121–132

    Google Scholar 

  • Papanicolaou AN, Elhakeem M, Wilson CG, Burras CL, West LTL, LinClark HB, Oneal BE (2015) Spatial variability of saturated hydraulic conductivity at the hillslope scale: understanding the role of land management and erosional effect. Geoderma 243–244:58–68

    Google Scholar 

  • Picciafuoco T, Morbidelli R, Flammini A, Saltalippi C, Corradini C, Strauss P, Blöschl G (2019) On the estimation of spatially representative plot scale saturated hydraulic conductivity in an agricultural setting. J Hydrol 570:106–117

    Google Scholar 

  • Pinheiro EAR, van Lier QJ (2021) Propagation of uncertainty of soil hydraulic parameterization in the prediction of water balance components: a stochastic analysis in kaolinitic clay soils. Geoderma 388:114910

    Google Scholar 

  • Price K, Jackson CR, Parker AJ (2010) Variation of surficial soil hydraulic properties across land uses in the southern Blue Ridge Mountains, North Carolina, USA. J Hydrol 383:256–268

    Google Scholar 

  • Pruski FF, Ferreira PA, Ramos MM, Cecon PR (1997) Model to design level terraces. J Irrig Drain Eng 123:8–12

    Google Scholar 

  • Rasool T, Dar AQ, Wani MA (2020) Quantification of spatial variability of soil physical properties in a lesser Himalayan sub-basin of India. Euras Soil Sci 53:362–376

    Google Scholar 

  • Remy N, Boucher A, Wu J (2009) Applied geoestatistics with SGeMS: a user’s guide. Cambridge University Press, Cambridge, p 284

    Google Scholar 

  • Salemi LF, Groppo JD, Trevisan R, Moraes JM, Ferraz SFB, Villani JP, Duarte-Neto PJ, Martinelli LA (2013) Land-use change in the Atlantic rainforest region: Consequences for the hydrology of small catchments. J Hydrol 499:100–109

    Google Scholar 

  • Santos RCV, Vargas MM, Timm LC, Beskow S, Siqueira TM, Mello CR, Soares MF, Moura MM, Reichardt K (2021) Examining the implications of spatial variability of saturated soil hydraulic conductivity on direct surface runoff hydrographs. Catena 207:105693

    Google Scholar 

  • She D, Dongdong L, Yingying L, Yi L, Cuilan Q, Fang C (2014) Profile characteristics of temporal stability of soil water storage in two land uses. Arab J Geosci 7:21–34

    Google Scholar 

  • She D, Qian C, Timm LC, Beskow S, Wei H, Caldeira TL, Oliveira LM (2017) Multi-scale correlations between soil hydraulic properties and associated factors along a Brazilian watershed transect. Geoderma 286:15–24

    Google Scholar 

  • Siqueira TM, Louzada JA, Pedrollo OC, Castro NMR (2019) Soil physical and hydraulic properties in the Donato stream basin, RS, Brazil. Part 2: geostatistical simulation. Rev Bras Eng Agrí Ambient 23:675–680

    Google Scholar 

  • Soares MF, Centeno LN, Timm LC, Mello CR, Kaiser DR, Beskow S (2020) Variability of saturated soil hydraulic conductivity using robust cokriging at the watershed scale. J Soil Sci Plant Nutr 20:1–12

    Google Scholar 

  • Soil Survey Staff (2010) Keys to soil taxonomy, 11th edn. USDA-Natural Resources Conservation Service, Washington

    Google Scholar 

  • Soracco CG, Lozano LA, Sarli GO, Gelati PR, Filgueira RR (2020) Anisotropy of saturated hydraulic conductivity in a soil under conservation and no-till treatments. Soil Till Res 109:18–22

    Google Scholar 

  • Streck EV, Kämpf N, Dalmolin RSD, Klamt E, do Nascimento PC, Schneider P, Pinto LFS (2008) Solos do Rio Grande do Sul, 2nd edn. Porto Alegre, EMATER/RS, p 222

    Google Scholar 

  • Taskinen A, Sirviö H, Bruen M (2008) Statistical analysis of the effects on overland flow of spatial variability in soil hydraulic conductivity. Hydrol Sci J 53:387–400

    Google Scholar 

  • Usowicz B, Lipiec J (2017) Spatial variability of soil properties and cereal yield in a cultivated field on sandy soil. Soil Till Res 174:241–250

    Google Scholar 

  • Villarreal R, Lozano LA, Salazar MP, Bellora GL, Melani EM, Polich N, Soracco CG (2020) Pore system configuration and hydraulic properties. Temporal variation during the crop cycle in different soil types of Argentinean Pampas Region. Soil Till Res 198:104528

    Google Scholar 

  • Viola MR, Mello CR, Beskow S, Norton LD (2013) Applicability of the LASH model for hydrological simulation of the Grande River Basin, Brazil. J Hydrol Eng 18:1639–1652

    Google Scholar 

  • Wang Y, Shao M, Liu Z, Horton R (2013) Regional-scale variation and distribution patterns of soil saturated hydraulic conductivities in surface and subsurface layers in the loessial soils of China. J Hydrol 487:13–23

    Google Scholar 

  • Webster R, Oliver MA (2007) Geostatistics for environmental scientists, 2nd edn. John Wiley & Sons Ltd, Chichester

    Google Scholar 

  • Wilding LP, Drees LR (1983) Spatial variability and pedology. In: Wilding LP, Drees LR (eds) Pedogenesis and soil taxonomy: concepts and interactions. Elsevier, New York, pp 83–116

    Google Scholar 

  • Zhang S, Shao M, Li D (2017) Prediction of soil moisture scarcity using sequential Gaussian simulation in an arid region of China. Geoderma 295:119–128

    Google Scholar 

  • Zhang X, Wendroth O, Matocha C, Zhu J (2019) Estimating soil hydraulic conductivity at the field scale with a state-space approach. Soil Sci 184:101–111

    Google Scholar 

  • Zhang X, Wendroth O, Matocha C, Zhu J, Reyes J (2020) Assessing field-scale variability of soil hydraulic conductivity at and near saturation. Catena 187:104335

    Google Scholar 

  • Zhao Y, Lei J, Tumarbay H, Xue J (2017) Using sequential Gaussian simulation to assess the uncertainty of the spatial distribution of soil salinity in arid regions of Northwest China. Arid Land Res Manage 32:20–37

    Google Scholar 

  • Zhao J, Liu C, Song Q, Jiang Y, Hong Q, Huang L (2018) Mapping heavy metals in cultivated soils based on land use types and cokriging. Commun Comput Inf Sci 848:305–311

    Google Scholar 

  • Zhu X, Liang Y, Tian Z, Zhang Y, Zhang Y, Zhang Y, Du J, Wang X, Li Y, Qu L, Dai M (2021) Simulating soil erodibility in southeastern China using a sequential Gaussian algorithm. Pedosphere 31:715–724

    Google Scholar 

  • Zimmermann B, Elsenbeer H, De Moraes JM (2006) The influence of land use changes on soil hydraulic properties: Implications for runoff generation. For Ecol Manage 222:29–38

    Google Scholar 

Download references

Acknowledgements

The authors wish to thank the Brazilian National Council for Scientific and Technological Development (CNPq) for the financial support and scholarships provided, and the Coordination for the Improvement of Higher Education Personnel-Brazil (CAPES), Finance Code 001, for scholarships.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Luís Carlos Timm.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

dos Santos, R.C.V., Soares, M.F., Timm, L.C. et al. Spatial uncertainty analysis of the saturated soil hydraulic conductivity in a subtropical watershed. Environ Earth Sci 80, 707 (2021). https://doi.org/10.1007/s12665-021-10017-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12665-021-10017-w

Keywords

Navigation