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ptfkit.zhao2016

ptfkit.zhao2016

Saturated hydraulic conductivity PTFs for the Loess Plateau of China.

Reference

Zhao, C., Shao, M., Jia, X., Nasir, M., & Zhang, C. (2016). Using pedotransfer functions to estimate soil hydraulic conductivity in the Loess Plateau of China. CATENA, 143, 1-6. https://doi.org/10.1016/j.catena.2016.03.037 DOI: 10.1016/j.catena.2016.03.037

Territory

Typical Loess Plateau of China, covering approximately 430,000 square kilometers.

Dataset

729 samples from 243 sites, sampled in 2012 at depths of 0-10, 10-20, and 20-40 cm. Each of 400 random calibration-validation splits used 583 development records and 146 validation records (Section 2.3.1).

FUNCTION DESCRIPTION
calc_ptf_zhao2016_m2_1

Estimate saturated hydraulic conductivity using reconstructed M2-1.

calc_ptf_zhao2016_m2_2

Estimate saturated hydraulic conductivity using reconstructed M2-2.

calc_ptf_zhao2016_m2_3

Estimate saturated hydraulic conductivity using reconstructed M2-3.

calc_ptf_zhao2016_m2_4

Estimate saturated hydraulic conductivity using reconstructed M2-4.

calc_ptf_zhao2016_m2_5

Estimate saturated hydraulic conductivity using reconstructed M2-5.

calc_ptf_zhao2016_m2_6

Estimate saturated hydraulic conductivity using reconstructed M2-6.

calc_ptf_zhao2016_m2_1

calc_ptf_zhao2016_m2_1(*, bulk_density: float, silt: float, clay: float) -> floating
calc_ptf_zhao2016_m2_1(*, bulk_density: ArrayLike, silt: ArrayLike, clay: ArrayLike, out: NDArray[floating] | None = None) -> NDArray[floating]

Estimate saturated hydraulic conductivity using reconstructed M2-1.

PARAMETER DESCRIPTION
bulk_density

Soil bulk density measured on undisturbed cores. (g/cm^3)

TYPE: float | ArrayLike

silt

Silt content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)

TYPE: float | ArrayLike

clay

Clay content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)

TYPE: float | ArrayLike

out

Optional output arrays for in-place calculation.

TYPE: NDArray[floating] | None DEFAULT: None

RETURNS DESCRIPTION
ks

Saturated hydraulic conductivity, measured by the constant-head method. (mm/min)

TYPE: floating | NDArray[floating]

Notes

Prediction target: Saturated hydraulic conductivity Highest-ranked fitted PTF, ranked by descending R-squared (Section 3.3). Uses Table 1 means and standard deviations for Jia et al. (2012) Equation 3 on both predictors and response, as a reviewed reconstruction.

Warning

The publication does not explicitly confirm Table 1 statistics as the fitted scaling constants or the application of response scaling. This reconstruction has not been verified against author software. Observed ranges describe the sampled soils; predictions are not clamped.

Source code in ptfkit/zhao2016.py
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def calc_ptf_zhao2016_m2_1(
    *,
    bulk_density: float | ArrayLike,
    silt: float | ArrayLike,
    clay: float | ArrayLike,
    out: NDArray[floating] | None = None,
) -> floating | NDArray[floating]:
    """Estimate saturated hydraulic conductivity using reconstructed M2-1.

    Arguments:
        bulk_density: Soil bulk density measured on undisturbed cores. (g/cm^3)
        silt: Silt content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)
        clay: Clay content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)
        out: Optional output arrays for in-place calculation.

    Returns:
        ks: Saturated hydraulic conductivity, measured by the constant-head method. (mm/min)

    Notes:
        Prediction target: Saturated hydraulic conductivity
        Highest-ranked fitted PTF, ranked by descending R-squared (Section 3.3).
        Uses Table 1 means and standard deviations for Jia et al. (2012) Equation 3 on both
            predictors and response, as a reviewed reconstruction.

    Warning:
        The publication does not explicitly confirm Table 1 statistics as the fitted scaling
            constants or the application of response scaling. This reconstruction has not been
            verified against author software.
        Observed ranges describe the sampled soils; predictions are not clamped.

    """
    return _call(
        _calc_ptf_zhao2016_m2_1,
        bulk_density,
        silt,
        clay,
        out=out,
    )

calc_ptf_zhao2016_m2_2

calc_ptf_zhao2016_m2_2(*, bulk_density: float, silt: float, clay: float) -> floating
calc_ptf_zhao2016_m2_2(*, bulk_density: ArrayLike, silt: ArrayLike, clay: ArrayLike, out: NDArray[floating] | None = None) -> NDArray[floating]

Estimate saturated hydraulic conductivity using reconstructed M2-2.

PARAMETER DESCRIPTION
bulk_density

Soil bulk density measured on undisturbed cores. (g/cm^3)

TYPE: float | ArrayLike

silt

Silt content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)

TYPE: float | ArrayLike

clay

Clay content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)

TYPE: float | ArrayLike

out

Optional output arrays for in-place calculation.

TYPE: NDArray[floating] | None DEFAULT: None

RETURNS DESCRIPTION
ks

Saturated hydraulic conductivity, measured by the constant-head method. (mm/min)

TYPE: floating | NDArray[floating]

Notes

Prediction target: Saturated hydraulic conductivity Mean coefficients of the top 25 percent, ranked by descending R-squared (Section 3.3). Uses Table 1 means and standard deviations for Jia et al. (2012) Equation 3 on both predictors and response, as a reviewed reconstruction.

Warning

The publication does not explicitly confirm Table 1 statistics as the fitted scaling constants or the application of response scaling. This reconstruction has not been verified against author software. Observed ranges describe the sampled soils; predictions are not clamped.

Source code in ptfkit/zhao2016.py
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def calc_ptf_zhao2016_m2_2(
    *,
    bulk_density: float | ArrayLike,
    silt: float | ArrayLike,
    clay: float | ArrayLike,
    out: NDArray[floating] | None = None,
) -> floating | NDArray[floating]:
    """Estimate saturated hydraulic conductivity using reconstructed M2-2.

    Arguments:
        bulk_density: Soil bulk density measured on undisturbed cores. (g/cm^3)
        silt: Silt content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)
        clay: Clay content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)
        out: Optional output arrays for in-place calculation.

    Returns:
        ks: Saturated hydraulic conductivity, measured by the constant-head method. (mm/min)

    Notes:
        Prediction target: Saturated hydraulic conductivity
        Mean coefficients of the top 25 percent, ranked by descending R-squared (Section 3.3).
        Uses Table 1 means and standard deviations for Jia et al. (2012) Equation 3 on both
            predictors and response, as a reviewed reconstruction.

    Warning:
        The publication does not explicitly confirm Table 1 statistics as the fitted scaling
            constants or the application of response scaling. This reconstruction has not been
            verified against author software.
        Observed ranges describe the sampled soils; predictions are not clamped.

    """
    return _call(
        _calc_ptf_zhao2016_m2_2,
        bulk_density,
        silt,
        clay,
        out=out,
    )

calc_ptf_zhao2016_m2_3

calc_ptf_zhao2016_m2_3(*, bulk_density: float, silt: float, clay: float) -> floating
calc_ptf_zhao2016_m2_3(*, bulk_density: ArrayLike, silt: ArrayLike, clay: ArrayLike, out: NDArray[floating] | None = None) -> NDArray[floating]

Estimate saturated hydraulic conductivity using reconstructed M2-3.

PARAMETER DESCRIPTION
bulk_density

Soil bulk density measured on undisturbed cores. (g/cm^3)

TYPE: float | ArrayLike

silt

Silt content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)

TYPE: float | ArrayLike

clay

Clay content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)

TYPE: float | ArrayLike

out

Optional output arrays for in-place calculation.

TYPE: NDArray[floating] | None DEFAULT: None

RETURNS DESCRIPTION
ks

Saturated hydraulic conductivity, measured by the constant-head method. (mm/min)

TYPE: floating | NDArray[floating]

Notes

Prediction target: Saturated hydraulic conductivity Mean coefficients of the top 50 percent, ranked by descending R-squared (Section 3.3). Uses Table 1 means and standard deviations for Jia et al. (2012) Equation 3 on both predictors and response, as a reviewed reconstruction.

Warning

The publication does not explicitly confirm Table 1 statistics as the fitted scaling constants or the application of response scaling. This reconstruction has not been verified against author software. Observed ranges describe the sampled soils; predictions are not clamped.

Source code in ptfkit/zhao2016.py
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def calc_ptf_zhao2016_m2_3(
    *,
    bulk_density: float | ArrayLike,
    silt: float | ArrayLike,
    clay: float | ArrayLike,
    out: NDArray[floating] | None = None,
) -> floating | NDArray[floating]:
    """Estimate saturated hydraulic conductivity using reconstructed M2-3.

    Arguments:
        bulk_density: Soil bulk density measured on undisturbed cores. (g/cm^3)
        silt: Silt content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)
        clay: Clay content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)
        out: Optional output arrays for in-place calculation.

    Returns:
        ks: Saturated hydraulic conductivity, measured by the constant-head method. (mm/min)

    Notes:
        Prediction target: Saturated hydraulic conductivity
        Mean coefficients of the top 50 percent, ranked by descending R-squared (Section 3.3).
        Uses Table 1 means and standard deviations for Jia et al. (2012) Equation 3 on both
            predictors and response, as a reviewed reconstruction.

    Warning:
        The publication does not explicitly confirm Table 1 statistics as the fitted scaling
            constants or the application of response scaling. This reconstruction has not been
            verified against author software.
        Observed ranges describe the sampled soils; predictions are not clamped.

    """
    return _call(
        _calc_ptf_zhao2016_m2_3,
        bulk_density,
        silt,
        clay,
        out=out,
    )

calc_ptf_zhao2016_m2_4

calc_ptf_zhao2016_m2_4(*, bulk_density: float, silt: float, clay: float) -> floating
calc_ptf_zhao2016_m2_4(*, bulk_density: ArrayLike, silt: ArrayLike, clay: ArrayLike, out: NDArray[floating] | None = None) -> NDArray[floating]

Estimate saturated hydraulic conductivity using reconstructed M2-4.

PARAMETER DESCRIPTION
bulk_density

Soil bulk density measured on undisturbed cores. (g/cm^3)

TYPE: float | ArrayLike

silt

Silt content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)

TYPE: float | ArrayLike

clay

Clay content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)

TYPE: float | ArrayLike

out

Optional output arrays for in-place calculation.

TYPE: NDArray[floating] | None DEFAULT: None

RETURNS DESCRIPTION
ks

Saturated hydraulic conductivity, measured by the constant-head method. (mm/min)

TYPE: floating | NDArray[floating]

Notes

Prediction target: Saturated hydraulic conductivity Mean coefficients of the top 75 percent, ranked by descending R-squared (Section 3.3). Uses Table 1 means and standard deviations for Jia et al. (2012) Equation 3 on both predictors and response, as a reviewed reconstruction.

Warning

The publication does not explicitly confirm Table 1 statistics as the fitted scaling constants or the application of response scaling. This reconstruction has not been verified against author software. Observed ranges describe the sampled soils; predictions are not clamped.

Source code in ptfkit/zhao2016.py
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def calc_ptf_zhao2016_m2_4(
    *,
    bulk_density: float | ArrayLike,
    silt: float | ArrayLike,
    clay: float | ArrayLike,
    out: NDArray[floating] | None = None,
) -> floating | NDArray[floating]:
    """Estimate saturated hydraulic conductivity using reconstructed M2-4.

    Arguments:
        bulk_density: Soil bulk density measured on undisturbed cores. (g/cm^3)
        silt: Silt content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)
        clay: Clay content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)
        out: Optional output arrays for in-place calculation.

    Returns:
        ks: Saturated hydraulic conductivity, measured by the constant-head method. (mm/min)

    Notes:
        Prediction target: Saturated hydraulic conductivity
        Mean coefficients of the top 75 percent, ranked by descending R-squared (Section 3.3).
        Uses Table 1 means and standard deviations for Jia et al. (2012) Equation 3 on both
            predictors and response, as a reviewed reconstruction.

    Warning:
        The publication does not explicitly confirm Table 1 statistics as the fitted scaling
            constants or the application of response scaling. This reconstruction has not been
            verified against author software.
        Observed ranges describe the sampled soils; predictions are not clamped.

    """
    return _call(
        _calc_ptf_zhao2016_m2_4,
        bulk_density,
        silt,
        clay,
        out=out,
    )

calc_ptf_zhao2016_m2_5

calc_ptf_zhao2016_m2_5(*, bulk_density: float, silt: float, clay: float) -> floating
calc_ptf_zhao2016_m2_5(*, bulk_density: ArrayLike, silt: ArrayLike, clay: ArrayLike, out: NDArray[floating] | None = None) -> NDArray[floating]

Estimate saturated hydraulic conductivity using reconstructed M2-5.

PARAMETER DESCRIPTION
bulk_density

Soil bulk density measured on undisturbed cores. (g/cm^3)

TYPE: float | ArrayLike

silt

Silt content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)

TYPE: float | ArrayLike

clay

Clay content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)

TYPE: float | ArrayLike

out

Optional output arrays for in-place calculation.

TYPE: NDArray[floating] | None DEFAULT: None

RETURNS DESCRIPTION
ks

Saturated hydraulic conductivity, measured by the constant-head method. (mm/min)

TYPE: floating | NDArray[floating]

Notes

Prediction target: Saturated hydraulic conductivity Mean coefficients of all 400 PTFs, ranked by descending R-squared (Section 3.3). Uses Table 1 means and standard deviations for Jia et al. (2012) Equation 3 on both predictors and response, as a reviewed reconstruction.

Warning

The publication does not explicitly confirm Table 1 statistics as the fitted scaling constants or the application of response scaling. This reconstruction has not been verified against author software. Observed ranges describe the sampled soils; predictions are not clamped.

Source code in ptfkit/zhao2016.py
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def calc_ptf_zhao2016_m2_5(
    *,
    bulk_density: float | ArrayLike,
    silt: float | ArrayLike,
    clay: float | ArrayLike,
    out: NDArray[floating] | None = None,
) -> floating | NDArray[floating]:
    """Estimate saturated hydraulic conductivity using reconstructed M2-5.

    Arguments:
        bulk_density: Soil bulk density measured on undisturbed cores. (g/cm^3)
        silt: Silt content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)
        clay: Clay content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)
        out: Optional output arrays for in-place calculation.

    Returns:
        ks: Saturated hydraulic conductivity, measured by the constant-head method. (mm/min)

    Notes:
        Prediction target: Saturated hydraulic conductivity
        Mean coefficients of all 400 PTFs, ranked by descending R-squared (Section 3.3).
        Uses Table 1 means and standard deviations for Jia et al. (2012) Equation 3 on both
            predictors and response, as a reviewed reconstruction.

    Warning:
        The publication does not explicitly confirm Table 1 statistics as the fitted scaling
            constants or the application of response scaling. This reconstruction has not been
            verified against author software.
        Observed ranges describe the sampled soils; predictions are not clamped.

    """
    return _call(
        _calc_ptf_zhao2016_m2_5,
        bulk_density,
        silt,
        clay,
        out=out,
    )

calc_ptf_zhao2016_m2_6

calc_ptf_zhao2016_m2_6(*, bulk_density: float, silt: float, clay: float) -> floating
calc_ptf_zhao2016_m2_6(*, bulk_density: ArrayLike, silt: ArrayLike, clay: ArrayLike, out: NDArray[floating] | None = None) -> NDArray[floating]

Estimate saturated hydraulic conductivity using reconstructed M2-6.

PARAMETER DESCRIPTION
bulk_density

Soil bulk density measured on undisturbed cores. (g/cm^3)

TYPE: float | ArrayLike

silt

Silt content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)

TYPE: float | ArrayLike

clay

Clay content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)

TYPE: float | ArrayLike

out

Optional output arrays for in-place calculation.

TYPE: NDArray[floating] | None DEFAULT: None

RETURNS DESCRIPTION
ks

Saturated hydraulic conductivity, measured by the constant-head method. (mm/min)

TYPE: floating | NDArray[floating]

Notes

Prediction target: Saturated hydraulic conductivity Lowest-ranked fitted PTF, ranked by descending R-squared (Section 3.3). Uses Table 1 means and standard deviations for Jia et al. (2012) Equation 3 on both predictors and response, as a reviewed reconstruction.

Warning

The publication does not explicitly confirm Table 1 statistics as the fitted scaling constants or the application of response scaling. This reconstruction has not been verified against author software. Observed ranges describe the sampled soils; predictions are not clamped.

Source code in ptfkit/zhao2016.py
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def calc_ptf_zhao2016_m2_6(
    *,
    bulk_density: float | ArrayLike,
    silt: float | ArrayLike,
    clay: float | ArrayLike,
    out: NDArray[floating] | None = None,
) -> floating | NDArray[floating]:
    """Estimate saturated hydraulic conductivity using reconstructed M2-6.

    Arguments:
        bulk_density: Soil bulk density measured on undisturbed cores. (g/cm^3)
        silt: Silt content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)
        clay: Clay content measured by laser diffraction using USDA taxonomy (Section 2.2.2). (%)
        out: Optional output arrays for in-place calculation.

    Returns:
        ks: Saturated hydraulic conductivity, measured by the constant-head method. (mm/min)

    Notes:
        Prediction target: Saturated hydraulic conductivity
        Lowest-ranked fitted PTF, ranked by descending R-squared (Section 3.3).
        Uses Table 1 means and standard deviations for Jia et al. (2012) Equation 3 on both
            predictors and response, as a reviewed reconstruction.

    Warning:
        The publication does not explicitly confirm Table 1 statistics as the fitted scaling
            constants or the application of response scaling. This reconstruction has not been
            verified against author software.
        Observed ranges describe the sampled soils; predictions are not clamped.

    """
    return _call(
        _calc_ptf_zhao2016_m2_6,
        bulk_density,
        silt,
        clay,
        out=out,
    )