From fcc944eac3dabe8115b876a2e7fe28902002016c Mon Sep 17 00:00:00 2001 From: olyson Date: Wed, 28 Jul 2021 09:00:10 -0600 Subject: [PATCH] More cleanup of Photosynthesis chapter --- .../CLM50_Tech_Note_Photosynthesis.rst | 15 ++++++++------- 1 file changed, 8 insertions(+), 7 deletions(-) diff --git a/doc/source/tech_note/Photosynthesis/CLM50_Tech_Note_Photosynthesis.rst b/doc/source/tech_note/Photosynthesis/CLM50_Tech_Note_Photosynthesis.rst index 89657b56b7..e4f4f63836 100644 --- a/doc/source/tech_note/Photosynthesis/CLM50_Tech_Note_Photosynthesis.rst +++ b/doc/source/tech_note/Photosynthesis/CLM50_Tech_Note_Photosynthesis.rst @@ -51,7 +51,7 @@ Previous versions of CLM calculated leaf stomatal resistance using the Ball-Berr model as described by :ref:`Collatz et al. (1991)` and implemented in global climate models (:ref:`Sellers et al. 1996`). The Medlyn model calculates stomatal conductance (i.e., the inverse of resistance) based on net leaf -photosynthesis, the vapor pressure deficit, and the CO\ :sub:`2` concentration at the leaf surface. +photosynthesis, the leaf-to-air vapor pressure difference, and the CO\ :sub:`2` concentration at the leaf surface. Leaf stomatal resistance is: .. math:: @@ -65,7 +65,7 @@ where :math:`r_{s}` is leaf stomatal resistance (s m\ :sup:`2` photosynthesis (:math:`\mu`\ mol CO\ :sub:`2` m\ :sup:`-2` s\ :sup:`-1`), :math:`c_{s}` is the CO\ :sub:`2` partial pressure at the leaf surface (Pa), :math:`P_{atm}` is the atmospheric -pressure (Pa), and :math:`D_{s}=(e_{i}-e{_s})/1000` is the vapor pressure deficit at the leaf surface (kPa) +pressure (Pa), and :math:`D_{s}=(e_{i}-e{_s})/1000` is the leaf-to-air vapor pressure difference at the leaf surface (kPa) where :math:`e_{i}` is the saturation vapor pressure (Pa) evaluated at the leaf temperature :math:`T_{v}` , and :math:`e_{s}` is the vapor pressure at the leaf surface (Pa). :math:`g_{1}` is a plant functional type dependent parameter (:numref:`Table Plant functional type (PFT) stomatal conductance parameters`) @@ -481,8 +481,9 @@ In terms of conductance with e_{s} =\frac{e_{a} g_{b} +e_{i} g_{s} }{g_{b} +g_{s} } . -Substitution of equation :eq:`9.36` into equation :eq:`9.1` gives an expression for stomatal -resistance (:math:`r_{s}` ) as a function of photosynthesis +Substitution of equation :eq:`9.36` into equation :eq:`9.1` gives an expression for the stomatal +resistance +(:math:`r_{s}`) as a function of photosynthesis (:math:`A_{n}` ) .. math:: @@ -495,11 +496,11 @@ where .. math:: :label: 9.38 - a = 1 + \begin{array}{l} a = 1 \\ - b = -[2(g_{o} * 10^{-6} + d) + \frac{(g_{1}d)^{2}}{g_{b}*10^{-6}D_{l}}] + b = -[2(g_{o} * 10^{-6} + d) + \frac{(g_{1}d)^{2}}{g_{b}*10^{-6}D_{l}}] \\ - c = (g_{o}*10^{-6})^{2} + [2g_{o}*10^{-6} + d (1-\frac{g_{1}^{2}} {D_{l}})]d + c = (g_{o}*10^{-6})^{2} + [2g_{o}*10^{-6} + d (1-\frac{g_{1}^{2}} {D_{l}})]d \end{array} and