Climate Model: Difference between revisions

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The climate response model affects the following variables directly:
The climate response model affects the following variables directly:
*The biological age or basal area (gt) depending on user setting
*The biological age or basal area depending on user setting
*Site index (SIS)
*Site index (SIS)
*Vegetation index  
*Vegetation index  
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<math>\lambda</math> = Temperature change factor for a five-year period
<math>\lambda</math> = Temperature change factor for a five-year period
<br><math>TS_{t} = \lambda \cdot TS_{t-1}</math> (temperature sum in &deg;C)
<br><math>TS_{t} = \lambda \cdot TS_{t-1}</math> (temperature sum in &deg;C)
<br><math>\Delta TS</math> = Change in temperature sum between two five-year periods (<math>TS_{t} - TS_{t-1}</math>) and t is period index, and
<br><math>\Delta TS</math> = Change in temperature sum (1000 &deg;C) between two five-year periods<tt>:</tt> <math>0.001\ (TS_{t} - TS_{t-1})</math>) where ''t'' is period index, and
<br><math>\Delta TS2</math> = Change between squared temperature sums (in 1/1000 &deg;C) from period ''t''-1 to period ''t''<tt>:</tt> <math>(0.001 TS_{t})^2 - (0.001 TS_{t-1})^2</math>
<br><math>\Delta TS2</math> = Change between squared temperature sums (in 1000 &deg;C) from period ''t''-1 to period ''t''<tt>:</tt> <math>(0.001 TS_{t})^2 - (0.001 TS_{t-1})^2</math>


====Vegetation index change====
====Vegetation index change====
The vegetation index is a mapping of the categorial variable [[Definition:VegetationTypeCode | vegetation type code]], to a nominal variable. The vegetation index is used as one of the explanatory in the Whole-stand growth model (see page 39 in the [http://heurekaslu.org/mw/images/9/93/Heureka_prognossystem_(Elfving_rapportutkast).pdf "Growth modelling in Heureka" document]).  
The vegetation index is a mapping of the categorial variable [[Definition:VegetationTypeCode | vegetation type code]], to a nominal variable. The vegetation index is used as one of the explanatory in the Whole-stand growth model (see page 39 in the [http://heurekaslu.org/mw/images/9/93/Heureka_prognossystem_(Elfving_rapportutkast).pdf "Growth modelling in Heureka" document]).  


The climate model modifies the vegetation index. The vegetation index increases when the climate model predicts increased growth. The vegetation index is updated in each projection period.
The climate model modifies the vegetation index. The vegetation index increases when the climate model predicts increased growth. The vegetation index is updated in each projection period as a linear function of &Delta;TS2<tt>:</tt>
 
<math>\Delta VIX = 1.24 \cdot \Delta TS2 \cdot \frac{periodLength}{5}</math>
 


====Case 1: Whole-stand growth model====
====Case 1: Whole-stand growth model====

Revision as of 09:38, 23 March 2016

TODO.