Changes between Version 11 and Version 12 of doc/app/plant_canopy_parameters
- Timestamp:
- Apr 6, 2016 3:36:34 PM (9 years ago)
Legend:
- Unmodified
- Added
- Removed
- Modified
-
doc/app/plant_canopy_parameters
v11 v12 20 20 }}} 21 21 {{{#!td 22 Dimensionless coefficient required for the construction ofthe leaf area density (LAD) profile, using following beta probability density function (following Markkanen et al., 2003, BLM 106, 437-459):\\\\22 Dimensionless 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):\\\\ 23 23 {{{ 24 24 #!Latex 25 25 \[ f_{PDF}(\frac{z}{H},\alpha,\beta) = \frac{(\frac{z}{H})^{\alpha-1}\;(1-\frac{z}{H})^{\beta-1}}{\int_{0}^{1}\;(\frac{z}{H})^{\alpha-1}\;(1-\frac{z}{H})^{\beta-1}\;d(\frac{z}{H})}, \] 26 26 }}} 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 pres ribed. The actual leaf area density values follow from: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 prescribed. The actual leaf area density values follow from: 28 28 {{{ 29 29 #!Latex … … 47 47 }}} 48 48 {{{#!td 49 Dimensionless coefficient required for the construction ofthe leaf area density (LAD) profile, using a beta probability density function (see [#alpha_lad alpha_lad] for details).\\\\49 Dimensionless coefficient required for constructing the leaf area density (LAD) profile, using a beta probability density function (see [#alpha_lad alpha_lad] for details).\\\\ 50 50 '''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. \\\\ 51 51 '''Note:'''\\ … … 81 81 The user can prescribe a heat flux at the top of the plant canopy. 82 82 It 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].83 Based 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]. 84 84 }}} 85 85 |---------------- … … 111 111 This 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].\\\\ 112 112 '''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].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]. 114 114 }}} 115 115 |---------------- … … 182 182 Grid point index (w-grid) of the upper boundary of the plant canopy layer.\\\\ 183 183 Above '''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].\\\\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].\\\\ 185 185 2) 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). 186 186 }}} … … 201 201 |---------------- 202 202 203