Changes between Version 11 and Version 12 of doc/app/plant_canopy_parameters


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Timestamp:
Apr 6, 2016 3:36:34 PM (9 years ago)
Author:
scharf
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  • doc/app/plant_canopy_parameters

    v11 v12  
    2020}}}
    2121{{{#!td
    22 Dimensionless coefficient required for the construction of the leaf area density (LAD) profile, using following beta probability density function (following Markkanen et al., 2003, BLM 106, 437-459):\\\\
     22Dimensionless coefficient required for constructing the leaf area density (LAD) profile, using following beta probability density function (following Markkanen et al., 2003, BLM 106, 437-459):\\\\
    2323{{{
    2424#!Latex
    2525\[ f_{PDF}(\frac{z}{H},\alpha,\beta) = \frac{(\frac{z}{H})^{\alpha-1}\;(1-\frac{z}{H})^{\beta-1}}{\int_{0}^{1}\;(\frac{z}{H})^{\alpha-1}\;(1-\frac{z}{H})^{\beta-1}\;d(\frac{z}{H})}, \]
    2626}}}
    27 where ''z'' is the height above ground, ''H'' is the canopy height, and alpha ('''alpha_lad''') and beta ([#beta_lad beta_lad]) are the coefficients to be presribed. The actual leaf area density values follow from:
     27where ''z'' is the height above ground, ''H'' is the canopy height, and alpha ('''alpha_lad''') and beta ([#beta_lad beta_lad]) are the coefficients to be prescribed. The actual leaf area density values follow from:
    2828{{{
    2929#!Latex
     
    4747}}}
    4848{{{#!td
    49 Dimensionless coefficient required for the construction of the leaf area density (LAD) profile, using a beta probability density function (see [#alpha_lad alpha_lad] for details).\\\\
     49Dimensionless coefficient required for constructing the leaf area density (LAD) profile, using a beta probability density function (see [#alpha_lad alpha_lad] for details).\\\\
    5050'''beta_lad''' steers together with [#alpha_lad alpha_lad] the vertical distribution of leaf area within the canopy volume. Values for '''beta_lad''' must be greater than zero. Increasing '''beta_lad''' moves the leaf area more towards the canopy floor. \\\\
    5151'''Note:'''\\
     
    8181The user can prescribe a heat flux at the top of the plant canopy.
    8282It is assumed that solar radiation penetrates the canopy and warms the foliage which, in turn, warms the air in contact with it.
    83 Based on '''cthf''', the heat fluxes inside the canopy down to the canopy floor are determined from a decaying exponential function that is dependent on the cumulative leaf_area_index (Shaw and Schumann, 1992, BLM 61, 47-64). At surface grid points without canopy, the surface heatflux is given by parameter [wiki:app/inipar#shf shf].
     83Based on '''cthf''', the heat fluxes inside the canopy down to the canopy floor are determined by a decaying exponential function that is dependent on the cumulative leaf_area_index (Shaw and Schumann, 1992, BLM 61, 47-64). At surface grid points without canopy, the surface heat flux is given by parameter [wiki:app/inipar#shf shf].
    8484}}}
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    111111This parameter assigns the value of the leaf area density (LAD) at the surface (k=0). Starting from this value, the LAD profile is constructed with [#lad_vertical_gradient lad_vertical_gradient] and [#lad_vertical_gradient_level lad_vertical_gradient_level].\\\\
    112112'''Note:'''\\
    113 The LAD profile can also be constructed using a beta probability density function by prescribing values for parameters [#alpha_lad alpha_lad], [#beta_lad beta_lad] and [#lai_beta lai_beta].
     113The LAD profile can also be constructed using a beta probability density function by prescribing values for parameters [#alpha_lad alpha_lad], [#beta_lad beta_lad], and [#lai_beta lai_beta].
    114114}}}
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    182182Grid point index (w-grid) of the upper boundary of the plant canopy layer.\\\\
    183183Above '''pch_index''' the leaf area density (LAD) is automatically set to zero. Up to '''pch_index''' a leaf area density profile can be prescribed in two possible ways:\\\\
    184 1) Creating a piecewise linear LAD-profile by prescribing the parameters [#lad_surface lad_surface], [#lad_vertical_gradient lad_vertical_gradient] and [#lad_vertical_gradient_level lad_vertical_gradient_level].\\\\
     1841) Creating a piecewise linear LAD-profile by prescribing the parameters [#lad_surface lad_surface], [#lad_vertical_gradient lad_vertical_gradient], and [#lad_vertical_gradient_level lad_vertical_gradient_level].\\\\
    1851852) Employing a beta probability density function for the vertical leaf area distribution, prescribing coefficients [#alpha_lad alpha_lad], [#beta_lad beta_lad] and [#lai_beta lai_beta] (see e.g. Markkanen et al., 2003, BLM 106, 437-459).
    186186}}}
     
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