Abstract
The mapping of saturated soil hydraulic conductivity (KSat) is essential to understanding soil water dynamics and is a sensitive input in hydrological modeling. The objectives of this study were to provide a reference for the selection of soil hydrology and other environmental attributes that can be used as covariates for estimating KSat and to compare the efficiency of univariate ordinary kriging versus ordinary robust cokriging, using selected soil hydrology and environmental attributes. Data sets were obtained from a sample grid of 179 points established in the Ellert creek watershed (ECW), located in Rio Grande do Sul state, Southern Brazil. KSat, macroporosity, microporosity, total porosity, and bulk density were determined from soil sampled at each point. Data of land use and elevation were also applied. All data sets were firstly submitted to classical statistics. Boxplot graphics were constructed to evaluate the relationship between KSat and land uses. Spearman coefficient of correlation between KSat and the other attributes was also assessed. For the assortment of covariates, cluster analysis was applied. Classical and robust estimators were applied to calculate the auto and cross-semivariograms and hereafter the ordinary kriging and cokriging. The Spearman coefficient showed some inconsistencies among the applied variables, suggesting that the multivariate method was more appropriate. All cross-semivariograms, except for land use, showed results with better accuracy than the auto-semivariograms. From the methods applied, the best estimates of KSat were obtained using the robust cokriging method, using macroporosity and soil bulk density as covariates.
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References
Adhikary SK, Muttil N, Yilmaz AG (2017) Cokriging for enhanced spatial interpolation of rainfall in two Australian catchments. Hydrol Process 31:2143–2161
Ahuja L, Ma L, Green T (2010) Effective soil properties of heterogeneous areas for modeling infiltration and redistribution. Soil Sci Soc Am J 74:1469–1482
Alvarenga CC, Mello CR, Mello JM, Silva AM, Curi N (2012) Índice de qualidade do solo associado à recarga de água subterrânea (IQS RA) na Bacia Hidrográfica do Alto Rio Grande, MG. Rev Bras Ci Solo 36:1608–1619
Alvarenga LA, 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
Alvarez R, Steinbach HS (2009) A review of the effects of tillage systems on some soil physical properties, water content, nitrate availability and crops yield in the Argentine Pampas. Soil Tillage Res 104:1–15
Archer N, Bonell M, Coles N, Macdonald AM, Auton CA, Stevenson R (2013) Soil characteristics and landcover relationships on soil hydraulic conductivity at a hillslope scale: a view towards local flood management. J Hydrol 497:208–222
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
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
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
Bitencourt DGB, Barros W, Timm LC, She D, Penning LH, Parfitt JMB, Reichardt K (2016) Multivariate and geostatistical analyses to evaluate lowland soil levelling effects on physico-chemical properties. Soil Tillage Res 156:63–73
Blake GR, Hartge KH (1986) Bulk density. In: Klute A (ed) Methods of soil analysis. Part 1, 2nd edn. Agronomy Monograph, ASA-SSSA, Madison, pp 363–382
Boadu FK (2000) Hydraulic conductivity of soils from grain size distribution: new models. JGGE 126:739–746
Cambardella CA, Moorman TB, Novack JM, Parkin TB, Karlen DL, Turco RF, Knopka AE (1994) Field-scale variability of soil proprieties in Central Iowa soils. Soil Sci Soc Am J 58:1240–1248
Chappell NA, Jones TD, Tych W, Krishnaswamy J (2017) Role of rainstorm intensity underestimated by data-derived flood models: emerging global evidence from subsurface-dominated watersheds. Environ Modelling Soft 88:1–9
Cressie N, Hawkins DM (1980) Robust estimation of the variogram: I. Math Geol 12:115–125
Elsenbeer H, Cassel K, Castro J (1992) Spatial analysis of soil hydraulic conductivity in a tropical rain forest catchment. Water Resour Res 28:3201–3214
Empresa Brasileira de Pesquisa Agropecuária (EMBRAPA) (1999) Manual de métodos de análises de solo. Embrapa Solos, Rio de Janeiro
Empresa Brasileira De Pesquisa Agropecuária (EMBRAPA) (2006) Sistema brasileiro de classificação de solos. Embrapa Solos, Rio de Janeiro
Everitt B, Hothorn T (2011) An introduction to applied multivariate analysis with R. Springer, New York
Fleischbein K, Wilcke W, Valarezo C, Zech W, Knoblich K (2006) Water budgets of three small catchments under montane forest in Ecuador: experimental and modeling approach. Hydrol Process 20:2491–2507
Genton MG (1998) Highly robust variogram estimation. Math Geol 30:213–221
Germer S, Neill C, Krusche AV, Elsenbeer H (2010) Influence of land-use change on near-surface hydrological processes: Undisturbed forest to pasture. J Hydrol 380:473–480
Godoy VA, Zuquette LV, Gómez-Hernández JJ (2018) Stochastic analysis of three-dimensional hydraulic conductivity upscaling in a heterogeneous tropical soil. Comput Geosci 100:17s4–17s1187
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
Goovaerts P (1997) Geostatistics for natural resources evaluation. Applied Geostatistics Series. Oxford University Press, Oxford
Hu W, Dongli S, Ming'an S, Kwok PC, Bingcheng S (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
Instituto Brasileiro de Geografia e Estatística - IBGE (1986) Geologia, geomorfologia, pedologia, vegetação, uso potencial da terra. IBGE, Rio de Janeiro
Jenny H (1941) Factors of soil formation: a system of quantitative pedology. Dover Publications, New York
Johnston PR, Kilpatrick D, Li CY (2001) The importance of anisotropy in modeling ST segment shift in subendocardial ischaemia. IEEE T Bio-Med Eng 48:1366–1376
Klute A (1986) Water retention: laboratory methods. In: Klute A (ed) Methods of soil analysis. Part 1, 2nd edn. Agronomy Monograph, ASA-SSSA, Madison, pp. 635–662
Klute A, Dirksen C (1986) Hydraulic conductivity and diffusivity: laboratory methods. In: Klute A (ed) Methods of Soil Analysis. Part 1, 2nd edn. Agronomy Monograph, ASA-SSSA, Madison, pp. 687–734
Kuinchtner A, Buriol GA (2001) Clima do estado do Rio Grande do Sul segundo a classificação climática de Köppen e Thornthwaite. Disciplinarum Scientia 2:171–182
Kurnianto S, Selker J, Kauffman JB, Murdiyarso D, James PJP (2018) The influence of land-cover changes on the variability of saturated hydraulic conductivity in tropical peatlands. Mitig Adapt Strat Gl 24:535–555
Lark RM (2000) A comparison of some robust estimators of the variograma for use in soil survey. Eur J Soil Sci 51:137–157
Lark RM (2003) Two robust estimators of the cross-variogram for multivariate geostatistical analysis of soil properties. Eur J Soil Sci 54:187–202
Lebrenz H, Bárdossy A (2017) Estimation of the variogram using Kendall’s tau for a robust geostatistical interpolation. J Hydrol Eng 22:38–46
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
Lin H (2006) Temporal stability of soil moisture spatial pattern and subsurface preferential flow pathways in the Shale Hills catchment. Vadose Zone J 5:317–340
Liu Z, Ma D, Hu W, Li X (2018) Land use dependent variation of soil water infiltration characteristics and their scale-specific controls. Soil Tillage Res 178:139–149
Ma Y, Li X, Guo L, Lin HS (2017) Hydropedology: interactions between pedologic and hydrologic processes across spatiotemporal scales. Earth Sci Rev 171:181–195
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
Mojena R (1977) Hierarchical grouping methods and stopping rules: an evaluation. Comput J 20:359–363
Muñoz-Villers LE, McDonnell JJ (2013) Land use change effects on runoff generation in a humid tropical montane cloud forest region. Hydrol Earth Syst Sci 17:3543–3560
Papanicolaou AN, Elhakeem M, Wilson CG, Burras CL, West LT, Lin H, Clark B, 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
Picciafuoco T, Morbidelli R, Flammini A, Saltalippi C, Corradini C, Strauss P, Blöschl G (2019) A pedotransfer function for field-scale saturated hydraulic conductivity of a small watershed. Vadose Zone J 12:1–15
Pinto LC, Mello CR, Owens PR, Norton LD, Curi N (2015) Role of inceptisols in the hydrology of mountainous catchments in southeastern Brazil. J Hydrol Eng 21:e05015017
Pinto LC, Mello CR, Norton LD, Owens PR, Curi N (2016) Spatial prediction of soil-water transmissivity based on fuzzy logic in a Brazilian headwater watershed. Catena 143:26–34
Pinto LC, Mello CR, Norton LD, Curi N (2019) Land-use influence on the soil hydrology: an approach in upper Grande River basin, Southeast Brazil. Ciênc Agrotec 43:e015619
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
Price JN, Hiiesalu I, Gerhold P, Pärtel M (2012) Small-scale grassland assembly patterns differ above and below the soil surface. Ecology 93:1290–1296
Qiao JB, Zhu YJ, Jia X, Huang LM, Shao MA (2018) Estimating the spatial relationships between soil hydraulic properties and soil physical properties in the critical zone (0–100 m) on the Loess Plateau, China: a state-space modeling approach. Catena 160:385–393
Ramos MC, Cots-Folch R, Martínez-Casasnovas JA (2007) Effects of land terracing on soil properties in the Priorat region in Northeastern Spain: a multivariate analysis. Geoderma 142:251–261
Reichardt K, Timm LC (2020) Soil, plant and atmosphere: concepts, processes and applications. Springer, Basel
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
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
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
Simonson RW (1959) Outline of a generalized theory of soil genesis1. Soil Sci Soc Am J 23:152–156
Song X, Chen X, Ye M, Dai X, Hammond G, Zachara JM (2019) Delineating facies spatial distribution by integrating ensemble data assimilation and indicator Geostatistics with level-set transformation. Water Resour Res 55:2652–2671
Wallin J, Bolin D (2015) Geostatistical modelling using non-gaussian matérn fields. Scand J Stat 42:872–890
Wang Z, Shi W (2018) Robust variogram estimation combined with isometric log-ratio transformation for improved accuracy of soil particle-size fraction mapping. Geoderma 324:56–66
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
Webster R, Oliver M (2007) Geostatistics for environmental scientists, second edn. Wiley, Chichester
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
Wood MD, King NE (1977) Relation between earthquakes, weather, and soil tilt. Science 197:154–156
Acknowledgments
The authors wish to thank Brazilian National Council for Scientific and Technological Development (CNPq) and the Coordination for the Improvement of Higher Education Personnel, Brazil (CAPES), Finance Code 001, for scholarships.
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The study is financially supported by Brazilian National Council for Scientific and Technological Development (CNPq).
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Soares, M.F., Centeno, L.N., Timm, L.C. et al. Identifying Covariates to Assess the Spatial Variability of Saturated Soil Hydraulic Conductivity Using Robust Cokriging at the Watershed Scale. J Soil Sci Plant Nutr 20, 1491–1502 (2020). https://doi.org/10.1007/s42729-020-00228-8
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DOI: https://doi.org/10.1007/s42729-020-00228-8