Light extinction - Revision history

Francisco at 17:06, 22 February 2012

2012-02-22T17:06:30Z

Guillaume at 10:02, 8 December 2011

2011-12-08T10:02:58Z

Guillaume at 10:02, 8 December 2011

2011-12-08T10:02:42Z

Guillaume: /* References */

2011-12-08T10:00:15Z

‎References

Guillaume: /* References */

2011-12-08T09:59:25Z

‎References

Guillaume at 09:57, 8 December 2011

2011-12-08T09:57:53Z

Guillaume: /* Integration */

2011-12-07T14:49:10Z

‎Integration

Guillaume: /* Annex I */

2011-12-07T14:48:29Z

‎Annex I

Guillaume: /* Integration */

2011-12-07T14:47:48Z

‎Integration

Guillaume: /* Integration */

2011-12-07T14:47:23Z

‎Integration

← Older revision		Revision as of 17:06, 22 February 2012
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−	This is a transcript of the [http://~~api~~.~~viglink~~.com/~~api~~/click?format=go&key=cdee124b11d6baacda6c3e29b12e23dc&loc=http%3A%2F%2Fmohid.wordpress.com%2F&v=1&libid=1323338212631&out=http%3A%2F%2Fmohid.files.wordpress.com%2F2011%2F12%2Fmanual_light_param_mohid_v1.pdf&ref=http%3A%2F%2Fwww.google.pt%2Furl%3Fsa%3Dt%26rct%3Dj%26q%3Dmohid.wordpress.org%26source%3Dweb%26cd%3D3%26ved%3D0CCoQFjAC%26url%3Dhttp%253A%252F%252Fmohid.wordpress.com%252F%26ei%3D3YngTs3gKYa_8wOss8XvBw%26usg%3DAFQjCNGr7xey36YvmVRel5B9w5PWtSVOpg%26sig2%3DhH7OYL-5JVNGLl_OJ6fQXA&title=MOHID%20Modelling%20System&txt=%3Cstrong%3ELight%20parameterization%20in%20M%3C%2Fstrong%3EOHID&jsonp=vglnk_jsonp_13233382238521\|MOHID Light Extinction Technical Manual] dated of December, the 6th, 2011.	+	This is a transcript of the [http://www.mohid.com/PublicData/Products/Manuals/manual_light_param_mohid_v1.pdf MOHID Light Extinction Technical Manual] dated of December, the 6th, 2011.

	In this wiki:		In this wiki:

@@ Line 1: / Line 1: @@
 This is a transcript of the [http://api.viglink.com/api/click?format=go&key=cdee124b11d6baacda6c3e29b12e23dc&loc=http%3A%2F%2Fmohid.wordpress.com%2F&v=1&libid=1323338212631&out=http%3A%2F%2Fmohid.files.wordpress.com%2F2011%2F12%2Fmanual_light_param_mohid_v1.pdf&ref=http%3A%2F%2Fwww.google.pt%2Furl%3Fsa%3Dt%26rct%3Dj%26q%3Dmohid.wordpress.org%26source%3Dweb%26cd%3D3%26ved%3D0CCoQFjAC%26url%3Dhttp%253A%252F%252Fmohid.wordpress.com%252F%26ei%3D3YngTs3gKYa_8wOss8XvBw%26usg%3DAFQjCNGr7xey36YvmVRel5B9w5PWtSVOpg%26sig2%3DhH7OYL-5JVNGLl_OJ6fQXA&title=MOHID%20Modelling%20System&txt=%3Cstrong%3ELight%20parameterization%20in%20M%3C%2Fstrong%3EOHID&jsonp=vglnk_jsonp_13233382238521|MOHID Light Extinction Technical Manual] dated of December, the 6th, 2011.
 In this wiki:
 * Original Figures are missing

← Older revision		Revision as of 10:02, 8 December 2011
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	This is a transcript of the [http://api.viglink.com/api/click?format=go&key=cdee124b11d6baacda6c3e29b12e23dc&loc=http%3A%2F%2Fmohid.wordpress.com%2F&v=1&libid=1323338212631&out=http%3A%2F%2Fmohid.files.wordpress.com%2F2011%2F12%2Fmanual_light_param_mohid_v1.pdf&ref=http%3A%2F%2Fwww.google.pt%2Furl%3Fsa%3Dt%26rct%3Dj%26q%3Dmohid.wordpress.org%26source%3Dweb%26cd%3D3%26ved%3D0CCoQFjAC%26url%3Dhttp%253A%252F%252Fmohid.wordpress.com%252F%26ei%3D3YngTs3gKYa_8wOss8XvBw%26usg%3DAFQjCNGr7xey36YvmVRel5B9w5PWtSVOpg%26sig2%3DhH7OYL-5JVNGLl_OJ6fQXA&title=MOHID%20Modelling%20System&txt=%3Cstrong%3ELight%20parameterization%20in%20M%3C%2Fstrong%3EOHID&jsonp=vglnk_jsonp_13233382238521\|MOHID Light Extinction Technical Manual] dated of December, the 6th, 2011.		This is a transcript of the [http://api.viglink.com/api/click?format=go&key=cdee124b11d6baacda6c3e29b12e23dc&loc=http%3A%2F%2Fmohid.wordpress.com%2F&v=1&libid=1323338212631&out=http%3A%2F%2Fmohid.files.wordpress.com%2F2011%2F12%2Fmanual_light_param_mohid_v1.pdf&ref=http%3A%2F%2Fwww.google.pt%2Furl%3Fsa%3Dt%26rct%3Dj%26q%3Dmohid.wordpress.org%26source%3Dweb%26cd%3D3%26ved%3D0CCoQFjAC%26url%3Dhttp%253A%252F%252Fmohid.wordpress.com%252F%26ei%3D3YngTs3gKYa_8wOss8XvBw%26usg%3DAFQjCNGr7xey36YvmVRel5B9w5PWtSVOpg%26sig2%3DhH7OYL-5JVNGLl_OJ6fQXA&title=MOHID%20Modelling%20System&txt=%3Cstrong%3ELight%20parameterization%20in%20M%3C%2Fstrong%3EOHID&jsonp=vglnk_jsonp_13233382238521\|MOHID Light Extinction Technical Manual] dated of December, the 6th, 2011.
		+	In this wiki:
		+	* Original Figures are missing
		+	* Some tables must be formatted

	== Document outline ==		== Document outline ==

@@ Line 494: / Line 494: @@
 #	Baretta-Bekker, J. G., J. W. Baretta, A. S. Hansen and B. Riemann (1998). An improved model of carbon and nutrient dynamics in the microbial food web in marine enclosures. Aquatic Microbial Ecology 14(1): 91-108.
 #	Geider, R. J., H. L. MacIntyre and T. M. Kana (1998). A dynamic regulatory model of phytoplanktonic acclimation to light, nutrients, and temperature. Limnology and Oceanography 43(4): 679-694.
-#       [http://api.viglink.com/api/click?format=go&key=cdee124b11d6baacda6c3e29b12e23dc&loc=http%3A%2F%2Fmohid.wordpress.com%2F&v=1&libid=1323338212631&out=http%3A%2F%2Fmohid.files.wordpress.com%2F2011%2F12%2Fmanual_light_param_mohid_v1.pdf&ref=http%3A%2F%2Fwww.google.pt%2Furl%3Fsa%3Dt%26rct%3Dj%26q%3Dmohid.wordpress.org%26source%3Dweb%26cd%3D3%26ved%3D0CCoQFjAC%26url%3Dhttp%253A%252F%252Fmohid.wordpress.com%252F%26ei%3D3YngTs3gKYa_8wOss8XvBw%26usg%3DAFQjCNGr7xey36YvmVRel5B9w5PWtSVOpg%26sig2%3DhH7OYL-5JVNGLl_OJ6fQXA&title=MOHID%20Modelling%20System&txt=%3Cstrong%3ELight%20parameterization%20in%20M%3C%2Fstrong%3EOHID&jsonp=vglnk_jsonp_13233382534182|Mateus, M, I. A. Kenov, MOHID Light Extinction Manual (2011)]
+#       [http://api.viglink.com/api/click?format=go&key=cdee124b11d6baacda6c3e29b12e23dc&loc=http%3A%2F%2Fmohid.wordpress.com%2F&v=1&libid=1323338212631&out=http%3A%2F%2Fmohid.files.wordpress.com%2F2011%2F12%2Fmanual_light_param_mohid_v1.pdf&ref=http%3A%2F%2Fwww.google.pt%2Furl%3Fsa%3Dt%26rct%3Dj%26q%3Dmohid.wordpress.org%26source%3Dweb%26cd%3D3%26ved%3D0CCoQFjAC%26url%3Dhttp%253A%252F%252Fmohid.wordpress.com%252F%26ei%3D3YngTs3gKYa_8wOss8XvBw%26usg%3DAFQjCNGr7xey36YvmVRel5B9w5PWtSVOpg%26sig2%3DhH7OYL-5JVNGLl_OJ6fQXA&title=MOHID%20Modelling%20System&txt=%3Cstrong%3ELight%20parameterization%20in%20M%3C%2Fstrong%3EOHID&jsonp=vglnk_jsonp_13233382534182| Mateus, M, I. A. Kenov, MOHID Light Extinction Manual (2011)]
 == Annex I ==

@@ Line 494: / Line 494: @@
 #	Baretta-Bekker, J. G., J. W. Baretta, A. S. Hansen and B. Riemann (1998). An improved model of carbon and nutrient dynamics in the microbial food web in marine enclosures. Aquatic Microbial Ecology 14(1): 91-108.
 #	Geider, R. J., H. L. MacIntyre and T. M. Kana (1998). A dynamic regulatory model of phytoplanktonic acclimation to light, nutrients, and temperature. Limnology and Oceanography 43(4): 679-694.
 == Annex I ==

← Older revision		Revision as of 09:57, 8 December 2011
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		+	This is a transcript of the [http://api.viglink.com/api/click?format=go&key=cdee124b11d6baacda6c3e29b12e23dc&loc=http%3A%2F%2Fmohid.wordpress.com%2F&v=1&libid=1323338212631&out=http%3A%2F%2Fmohid.files.wordpress.com%2F2011%2F12%2Fmanual_light_param_mohid_v1.pdf&ref=http%3A%2F%2Fwww.google.pt%2Furl%3Fsa%3Dt%26rct%3Dj%26q%3Dmohid.wordpress.org%26source%3Dweb%26cd%3D3%26ved%3D0CCoQFjAC%26url%3Dhttp%253A%252F%252Fmohid.wordpress.com%252F%26ei%3D3YngTs3gKYa_8wOss8XvBw%26usg%3DAFQjCNGr7xey36YvmVRel5B9w5PWtSVOpg%26sig2%3DhH7OYL-5JVNGLl_OJ6fQXA&title=MOHID%20Modelling%20System&txt=%3Cstrong%3ELight%20parameterization%20in%20M%3C%2Fstrong%3EOHID&jsonp=vglnk_jsonp_13233382238521\|MOHID Light Extinction Technical Manual] dated of December, the 6th, 2011.
		+
	== Document outline ==		== Document outline ==
	The purpose of this document is to describe how solar light is modelled and the light-related processes in the MOHID Water Modelling System, in terms of rationale, options, and parameterizations. Modules, routines, keywords and input files are described and their role explained, so the user can have supplementary insight on the model functioning when modelling scenarios where processes such as surface fluxes, primary production or the effect of light in the decay of microorganisms is used.		The purpose of this document is to describe how solar light is modelled and the light-related processes in the MOHID Water Modelling System, in terms of rationale, options, and parameterizations. Modules, routines, keywords and input files are described and their role explained, so the user can have supplementary insight on the model functioning when modelling scenarios where processes such as surface fluxes, primary production or the effect of light in the decay of microorganisms is used.

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 Finally, the  definite integral between the surface (z=0) and the depth z can be calculated as:
-  <math>\[\int\limits_{z}^{0}{\frac{P}{{{P}_{\max }}}dz}\]</math>
+  <math>\[\int\limits_{z}^{0}{\frac{P}{{{P}_{\max }}}dz}\]</math><math>\[={{\left[ \frac{1}{{{k}_{s}}}{{e}^{\left( 1-\frac{{{S}_{0}}}{Sopt}{{e}^{-{{k}_{s}}z}} \right)}} \right]}_{z=z}}\]</math><math>\[-{{\left[ \frac{1}{{{k}_{s}}}{{e}^{\left( 1-\frac{{{S}_{0}}}{Sopt}{{e}^{-{{k}_{s}}z}} \right)}} \right]}_{z=0}}\]</math>
- <math>\[={{\left[ \frac{1}{{{k}_{s}}}{{e}^{\left( 1-\frac{{{S}_{0}}}{Sopt}{{e}^{-{{k}_{s}}z}} \right)}} \right]}_{z=z}}\]</math><math>\[-{{\left[ \frac{1}{{{k}_{s}}}{{e}^{\left( 1-\frac{{{S}_{0}}}{Sopt}{{e}^{-{{k}_{s}}z}} \right)}} \right]}_{z=0}}\]</math>
+  <math>\[=\frac{1}{{{k}_{s}}}{{e}^{\left( 1-\frac{{{S}_{0}}}{Sopt}{{e}^{-{{k}_{s}}z}} \right)}}-\frac{1}{{{k}_{s}}}{{e}^{\left( 1-\frac{{{S}_{0}}}{Sopt}{{e}^{(0)}} \right)}}\]</math><math>\[=\frac{{{e}^{1}}}{{{k}_{s}}}\left[ {{e}^{\left( -\frac{{{S}_{0}}}{Sopt}{{e}^{-{{k}_{s}}z}} \right)}}-{{e}^{\left( -\frac{{{S}_{0}}}{Sopt} \right)}} \right]\]</math>       Equation 18

← Older revision		Revision as of 14:48, 7 December 2011
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	The average value of the limiting factor at a depth z is given by the ratio between the integral of P/Pmax and z:		The average value of the limiting factor at a depth z is given by the ratio between the integral of P/Pmax and z:

−	<math>\[LightLim=\frac{1}{z}\int\limits_{0}^{z}{\frac{P}{{{P}_{\max }}}dz\]</math><math>\[=\frac{1}{z}\int\limits_{0}^{z}{\frac{{{S}_{0}}}{{{S}_{opt}}}{{e}^{-{{k}_{s}}z}}{{e}^{\left( 1-\frac{{{S}_{0}}}{{{S}_{opt}}}{{e}^{-{{k}_{s}}z}} \right)}}dz}}\]</math> Equation 10	+	<math>LightLim=\frac{1}{z}\int\limits_{0}^{z}{\frac{P}{{{P}_{\max }}}dz</math><math>=\frac{1}{z}\int\limits_{0}^{z}{\frac{{{S}_{0}}}{{{S}_{opt}}}{{e}^{-{{k}_{s}}z}}{{e}^{\left( 1-\frac{{{S}_{0}}}{{{S}_{opt}}}{{e}^{-{{k}_{s}}z}} \right)}}dz}}</math> Equation 10

@@ Line 546: / Line 546: @@
   <math>\[\int\limits_{z}^{0}{\frac{P}{{{P}_{\max }}}dz}\]</math>
-  <math>\[{{\left[ \frac{1}{{{k}_{s}}}{{e}^{\left( 1-\frac{{{S}_{0}}}{Sopt}{{e}^{-{{k}_{s}}z}} \right)}} \right]}_{z=z}}-{{\left[ \frac{1}{{{k}_{s}}}{{e}^{\left( 1-\frac{{{S}_{0}}}{Sopt}{{e}^{-{{k}_{s}}z}} \right)}} \right]}_{z=0}}\]</math>
+  <math>\[{{\left[ \frac{1}{{{k}_{s}}}{{e}^{\left( 1-\frac{{{S}_{0}}}{Sopt}{{e}^{-{{k}_{s}}z}} \right)}} \right]}_{z=z}}\]</math><math>\[-{{\left[ \frac{1}{{{k}_{s}}}{{e}^{\left( 1-\frac{{{S}_{0}}}{Sopt}{{e}^{-{{k}_{s}}z}} \right)}} \right]}_{z=0}}\]</math>
-  <math>\[\frac{1}{{{k}_{s}}}{{e}^{\left( 1-\frac{{{S}_{0}}}{Sopt}{{e}^{-{{k}_{s}}z}} \right)}}-\frac{1}{{{k}_{s}}}{{e}^{\left( 1-\frac{{{S}_{0}}}{Sopt}{{e}^{(0)}} \right)}}\]</math>
+  <math>\[=\frac{1}{{{k}_{s}}}{{e}^{\left( 1-\frac{{{S}_{0}}}{Sopt}{{e}^{-{{k}_{s}}z}} \right)}}-\frac{1}{{{k}_{s}}}{{e}^{\left( 1-\frac{{{S}_{0}}}{Sopt}{{e}^{(0)}} \right)}}\]</math>
   <math>\[=\frac{{{e}^{1}}}{{{k}_{s}}}\left[ {{e}^{\left( -\frac{{{S}_{0}}}{Sopt}{{e}^{-{{k}_{s}}z}} \right)}}-{{e}^{\left( -\frac{{{S}_{0}}}{Sopt} \right)}} \right]\]</math>       Equation 18