ptfkit.varallyai1982
ptfkit.varallyai1982 ¶
Varallyai et al. (1982), water-retention parameter regressions for Hungarian soils.
Reference
Varallyai, D., Raikai, K., Mironenko, Ye. V., Pachepskiy, Ya. A., & Scherbakov, R. A. (1982). A mathematical description of basic water-physical soil characteristics. Pochvovedenie, (4), 77-89.
- Territory
-
Hungary, mainly the Hungarian Plain
- Dataset
-
Undisturbed samples from 559 genetic horizons in 160 soil profiles; the meadow-series regressions used 68 samples and the chernozem comparison used 108 samples.
| CLASS | DESCRIPTION |
|---|---|
Varallyai1982Parameters | Results returned by the matching PTF. |
| FUNCTION | DESCRIPTION |
|---|---|
calc_ptf_varallyai1982_chernozem_a | Estimate equation (9) water-retention parameters for chernozem A horizons. |
calc_ptf_varallyai1982_chernozem_b | Estimate equation (9) water-retention parameters for chernozem B horizons. |
calc_ptf_varallyai1982_chernozem_c | Estimate equation (9) water-retention parameters for chernozem C horizons. |
calc_ptf_varallyai1982_meadow | Estimate equation (9) water-retention parameters for meadow-series soils. |
Varallyai1982Parameters ¶
Bases: NamedTuple, Generic[T]
Results returned by the matching PTF.
| ATTRIBUTE | DESCRIPTION |
|---|---|
theta_0 | Upper-asymptote water content parameter of equation (9). (vol.%) TYPE: |
m | Shape parameter of equation (9). (dimensionless) TYPE: |
pf_star | Base-10 logarithm of the equation (9) suction-scale parameter psi_*, with suction expressed in centimetres of water. (dimensionless) TYPE: |
Source code in ptfkit/varallyai1982.py
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calc_ptf_varallyai1982_chernozem_a ¶
calc_ptf_varallyai1982_chernozem_a(*, bulk_density: float, fine_fraction: float) -> Varallyai1982Parameters[floating]
calc_ptf_varallyai1982_chernozem_a(*, bulk_density: ArrayLike, fine_fraction: ArrayLike, out: Varallyai1982Parameters[NDArray[floating]] | None = None) -> Varallyai1982Parameters[NDArray[floating]]
Estimate equation (9) water-retention parameters for chernozem A horizons.
| PARAMETER | DESCRIPTION |
|---|---|
bulk_density | Undisturbed-soil bulk density. (g/cm^3) TYPE: |
fine_fraction | Fine-particle mass fraction reported as particles smaller than 0.002 mm. (fraction) TYPE: |
out | Optional output arrays for in-place calculation. TYPE: |
| RETURNS | DESCRIPTION |
|---|---|
Varallyai1982Parameters | Results grouped by result attributes. TYPE: |
Territory
Hungary, mainly the Hungarian Plain
Models
\(h(\theta)\): theta = theta_0 / (1 + (psi / psi_*)^m)
Notes
Prediction target: Parameters of the equation (9) water-retention model for chernozem A horizons. Equation (15) applies to chernozem A horizons. The source reports 95% relative errors of 10% for theta_0, 29% for m, and 18% for pF_*.
Warning
Use is described as approximate by the source. The source does not report exact calibration ranges; avoid extrapolation beyond comparable Hungarian chernozem A horizons.
Source code in ptfkit/varallyai1982.py
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calc_ptf_varallyai1982_chernozem_b ¶
calc_ptf_varallyai1982_chernozem_b(*, bulk_density: float, fine_fraction: float) -> Varallyai1982Parameters[floating]
calc_ptf_varallyai1982_chernozem_b(*, bulk_density: ArrayLike, fine_fraction: ArrayLike, out: Varallyai1982Parameters[NDArray[floating]] | None = None) -> Varallyai1982Parameters[NDArray[floating]]
Estimate equation (9) water-retention parameters for chernozem B horizons.
| PARAMETER | DESCRIPTION |
|---|---|
bulk_density | Undisturbed-soil bulk density. (g/cm^3) TYPE: |
fine_fraction | Fine-particle mass fraction reported as particles smaller than 0.002 mm. (fraction) TYPE: |
out | Optional output arrays for in-place calculation. TYPE: |
| RETURNS | DESCRIPTION |
|---|---|
Varallyai1982Parameters | Results grouped by result attributes. TYPE: |
Territory
Hungary, mainly the Hungarian Plain
Models
\(h(\theta)\): theta = theta_0 / (1 + (psi / psi_*)^m)
Notes
Prediction target: Parameters of the equation (9) water-retention model for chernozem B horizons. Equation (16) applies to chernozem B horizons. The source reports 95% relative errors of 11% for theta_0, 34% for m, and 18% for pF_*.
Warning
Use is described as approximate by the source. The source does not report exact calibration ranges; avoid extrapolation beyond comparable Hungarian chernozem B horizons.
Source code in ptfkit/varallyai1982.py
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calc_ptf_varallyai1982_chernozem_c ¶
calc_ptf_varallyai1982_chernozem_c(*, bulk_density: float, fine_fraction: float) -> Varallyai1982Parameters[floating]
calc_ptf_varallyai1982_chernozem_c(*, bulk_density: ArrayLike, fine_fraction: ArrayLike, out: Varallyai1982Parameters[NDArray[floating]] | None = None) -> Varallyai1982Parameters[NDArray[floating]]
Estimate equation (9) water-retention parameters for chernozem C horizons.
| PARAMETER | DESCRIPTION |
|---|---|
bulk_density | Undisturbed-soil bulk density. (g/cm^3) TYPE: |
fine_fraction | Fine-particle mass fraction reported as particles smaller than 0.002 mm. (fraction) TYPE: |
out | Optional output arrays for in-place calculation. TYPE: |
| RETURNS | DESCRIPTION |
|---|---|
Varallyai1982Parameters | Results grouped by result attributes. TYPE: |
Territory
Hungary, mainly the Hungarian Plain
Models
\(h(\theta)\): theta = theta_0 / (1 + (psi / psi_*)^m)
Notes
Prediction target: Parameters of the equation (9) water-retention model for chernozem C horizons. Equation (17) applies to chernozem C horizons. The source reports 95% relative errors of 7% for theta_0, 22% for m, and 11% for pF_*.
Warning
Use is described as approximate by the source. The source does not report exact calibration ranges; avoid extrapolation beyond comparable Hungarian chernozem C horizons.
Source code in ptfkit/varallyai1982.py
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calc_ptf_varallyai1982_meadow ¶
calc_ptf_varallyai1982_meadow(*, bulk_density: float, fine_sand_fraction: float, fine_fraction: float) -> Varallyai1982Parameters[floating]
calc_ptf_varallyai1982_meadow(*, bulk_density: ArrayLike, fine_sand_fraction: ArrayLike, fine_fraction: ArrayLike, out: Varallyai1982Parameters[NDArray[floating]] | None = None) -> Varallyai1982Parameters[NDArray[floating]]
Estimate equation (9) water-retention parameters for meadow-series soils.
| PARAMETER | DESCRIPTION |
|---|---|
bulk_density | Undisturbed-soil bulk density. (g/cm^3) TYPE: |
fine_sand_fraction | Mass fraction in the 0.25-0.05 mm particle-size class. (fraction) TYPE: |
fine_fraction | Fine-particle mass fraction reported as particles smaller than 0.002 mm. (fraction) TYPE: |
out | Optional output arrays for in-place calculation. TYPE: |
| RETURNS | DESCRIPTION |
|---|---|
Varallyai1982Parameters | Results grouped by result attributes. TYPE: |
Territory
Hungary, mainly the Hungarian Plain
Models
\(h(\theta)\): theta = theta_0 / (1 + (psi / psi_*)^m)
Notes
Prediction target: Parameters of the equation (9) water-retention model. Equation (14) was fitted to 68 meadow-series soil samples. S and C are fractions of one, while bulk density is in g/cm^3. The source reports 95% relative errors of 14% for theta_0, 34% for m, and 25% for pF_*.
Warning
Use is described as approximate by the source. The source does not report exact calibration ranges; avoid extrapolation beyond comparable Hungarian meadow-series soils.
Source code in ptfkit/varallyai1982.py
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