Abstract
Over the past three decades, state-space models have been used in soil physics mostly to describe spatial processes of transport- or biomass-related state variables. The objective of this contribution on behalf of the second Brazilian Soil Physics Meeting is to provide an introduction into the opportunities of state-space models and to explain their conceptual differences and advantages compared to current widely used analytical approaches that do not account for space/time covariance behavior, measurement or model uncertainty. An overview on the diversity of state-space model applications is provided. The opportunities of state-space models for designing and analyzing experiments with and without treatments especially emphasizing non-randomized experiments are addressed and illustrated. Expanding state-space models for scale-transfer issues and describing spatio-temporal processes simultaneously are pointed out.
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References
Assouline S (1993) Estimation of lake hydrologic budget terms using simultaneous solution of water, heat, and salt balances and a Kalman filtering approach: application to Lake Kinneret. Water Resour Res 29:3041–3048
Bazza M, Shumway RH, Nielsen DR (1988) Two-dimensional spectral analyses of soil surface temperature. Hilgardia 56:1–28
Blöschl G, Sivapalan M (1995) Scale issues in hydrological modelling: a review. Hydrol Process 9:251–290
Bruce RR, Snyder WM, White AW, Thomas AW, Langdale GW (1990) Soil variables and interactions affecting prediction of crop yield. Soil Sci Soc Am J 54:494–501
Gardner WR (1958) Some steady-state solutions of the unsaturated moisture flow equation with application to evaporation from a water table. Soil Sci 85:228–232
Gelb A (1974) Applied optimal estimation. Massachusetts Institute of Technology Press, Cambridge, MA, 374 pp
Kachanoski RG, De Jong E (1988) Scale dependence and the temporal persistence of spatial patterns of soil water storage. Water Resour Res 24:85–91
Kalman RE (1960) A new approach to linear filtering and prediction problems. Trans ASME J Basic Eng 8:35–45
Kalman RE, Bucy RS (1961) New results in linear filtering and prediction theory. Trans ASME J Basic Eng 83:95–108
Katul GG, Wendroth O, Parlange MB, Puente CE, Nielsen DR (1993) Estimation of in situ hydraulic conductivity function from nonlinear filtering theory. Water Resour Res 29:1063–1070
Kirda C, Hardarson G, Zapata F, Reichardt K (1988) Spatial variability of root zone soil water status and of fertilizer N uptake by forage crops. Soil Technol 1:223–234
Morkoc F, Biggar JW, Nielsen DR, Rolston DE (1985) Analysis of soil water content and temperature using state-space approach. Soil Sci Soc Am J 49:798–803
Nielsen DR, Alemi MH (1989) Statistical opportunities for analyzing spatial and temporal heterogeneity of field soils. Plant Soil 115:285–296
Nielsen DR, Wendroth O (2003) Spatial and temporal statistics – sampling field soils and their vegetation. Catena, Reiskirchen, 416 p
Or D, Hanks RJ (1992) Spatial and temporal soil water estimation considering soil variability and evapotranspiration uncertainty. Water Resour Res 28:803–814
Reichardt K, Hardarson G, Zapata F, Kirda C, Danso SKA (1987) Site variability effect on field measurement of symbiotic nitrogen fixation using the 15N isotope dilution method. Soil Biol Biochem 19:405–409
Schwen A, Yang Y, Wendroth O (2013) State-space models describe the spatial variability of bromide leaching controlled by land use, irrigation, and pedologic characteristics. Vadose Zone J. doi:10.2136/vzj2012.0196
Shillito RM, Timlin DJ, Fleisher D, Reddy VR, Quebedeaux B (2009) Yield response of potato to spatially patterned nitrogen application. Agric Ecosyst Environ 129:107–116
Shumway RH (1988) Applied statistical time series analysis. Prentice Hall, Englewood Cliffs, 379 pp
Shumway RH, Stoffer DS (1982) An approach to time series smoothing and forecasting using the EM algorithm. J Time Ser Anal 3:253–264
Shumway RH, Stoffer DS (2000) Time series analysis and its applications. Springer, New York, 549 pp
Timm LC, Reichardt K, Oliveira JCM, Cassaro FAM, Tominaga TT, Bacchi OOS, Dourado-Neto D, Nielsen DR (2004) State-space approach to evaluate the relation between soil physical and chemical properties. Rev Bras Cienc Solo 28:49–58
Wendroth O, Al-Omran AM, Kirda C, Reichardt K, Nielsen DR (1992) State-space approach to spatial variability of crop yield. Soil Sci Soc Am J 56:801–807
Wendroth O, Katul GG, Parlange MB, Puente CE, Nielsen DR (1993) A nonlinear filtering approach for determining hydraulic conductivity functions in field soils. Soil Sci 156:293–301
Wendroth O, Koszinski S, Vasquez V (2011a) Soil spatial variability. In: Huang PM, Li YC, Sumner ME (eds) Handbook of soil science, 2nd edn. CRC Press, Boca Raton, pp 10-1–10-25
Wendroth O, Vasquez V, Matocha CJ (2011b) Field experimental approach to bromide leaching as affected by scale-specific rainfall characteristics. Water Resour Res 47:W00L03. doi:10.1029/2011WR010650
Yang Y, Wendroth O (2014) State-space approach to field-scale bromide leaching. Geoderma 217–218:161–172. doi.org/10.1016/j.geoderma.2013.11.013
Yang Y, Wendroth O, Walton RJ (2013) Field-scale bromide leaching as affected by land use and rain characteristics. Soil Sci Soc Am J. doi:10.2136/sssaj2013.01.0018
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Wendroth, O., Yang, Y., Timm, L.C. (2014). State-Space Analysis in Soil Physics. In: Teixeira, W., Ceddia, M., Ottoni, M., Donnagema, G. (eds) Application of Soil Physics in Environmental Analyses. Progress in Soil Science. Springer, Cham. https://doi.org/10.1007/978-3-319-06013-2_3
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DOI: https://doi.org/10.1007/978-3-319-06013-2_3
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