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@ARTICLE{deRooij:38889,
      author       = {de Rooij, G. H. and Kasteel, R. T. A. and Papritz, A. and
                      Flühler, M. O.},
      title        = {{J}oint {D}istributions of the {U}nsaturated {S}oil
                      {H}ydraulic {P}arameters and their {E}ffect on {O}ther
                      {V}ariates},
      journal      = {Vadose zone journal},
      volume       = {3},
      issn         = {1539-1663},
      address      = {Madison, Wis.},
      publisher    = {SSSA},
      reportid     = {PreJuSER-38889},
      pages        = {947 - 955},
      year         = {2004},
      note         = {Record converted from VDB: 12.11.2012},
      abstract     = {Variability in the unsaturated soil hydraulic properties
                      affects the behavior of water and solutes in the subsurface.
                      When these properties are described by parametric functions,
                      subsurface heterogeneity can be quantified by variations in
                      the parameters of these functions. We propose a procedure to
                      characterize systematically the statistical properties of
                      each soil hydraulic parameter and the parameter correlations
                      First, the parameter with the best-defined probability
                      distribution function (pdf) is identified. Curvilinear
                      regression analysis identifies transformations that
                      linearize the relationships between this reference parameter
                      and the remaining parameters. From this we determine the
                      joint pdf of the transformed parameters, which is then used
                      to calculate the distributions of derived variates (
                      functions of the hydraulic parameters). The procedure is
                      applied to the hydraulic parameters of 140 samples in total
                      taken from two layers of an agricultural soil profile. We
                      developed analytical expressions for the pdfs of derived
                      variates ( hydraulic conductivities and water contents at
                      heads between 0 and - 5000 cm) from the multivariate
                      parameter pdf. The numerical integration required to
                      evaluate these expressions proved extremely cumbersome, thus
                      reducing the robustness of the analytical expressions. We
                      therefore performed a Monte Carlo simulation from which we
                      determined the first two moments, as well as the skewness
                      and excess of the derived variates. The estimated mean and
                      standard deviation of the derived variates generally agreed
                      well with values determined directly from the soil samples.
                      Skewness and excess were estimated less accurately. Both the
                      derived analytical pdfs and the Monte Carlo simulation
                      showed markedly nonsymmetrical pdfs, suggesting that it is
                      generally insufficient to limit statistical to the first two
                      moments only.},
      keywords     = {J (WoSType)},
      cin          = {ICG-IV},
      ddc          = {550},
      cid          = {I:(DE-Juel1)VDB50},
      pnm          = {Chemie und Dynamik der Geo-Biosphäre},
      pid          = {G:(DE-Juel1)FUEK257},
      shelfmark    = {Environmental Sciences / Soil Science / Water Resources},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000227469000021},
      url          = {https://juser.fz-juelich.de/record/38889},
}