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--- en:dev:initialisation_mkt [2017/03/21 08:46] – created Antonello Lobianco
+++ en:dev:initialisation_mkt [2025/05/01 12:15] (current) – external edit 127.0.0.1
@@ Line 1: / Line 1: @@
-This is the workflow of the model in the first few years.
+The workflow of the initialisation of the market module.
-$$p -> products$$
+''p  -> products;
+pp -> primary products;
+tp -> transformed products;
+r  -> region;
+t  -> time''
+ModelCoreSpatial::initMarketModule()
+$pl_{r,tp,t=2}= \sum_{pp} {pl_{r,pp,t=2} * a_{r,pp,t=2,tp} } + (m_{r,tp,t=2} * pol\_trSub_{r,tp,t=2})  $
+$dl_{r,pp,t=2}= \sum_{tp} {sl_{r,tp,t=2} * a_{r,pp,t=2,tp} } $
+$st_{r,p,t=2} = sl_{r,p,t=2} + sa_{r,p,t=2} $
+$dt_{r,p,t=2} = dl_{r,p,t=2} + da_{r,p,t=2} $
+$ q1_{r,tp,t=1} = \frac{1}{ 1 + \left(\frac{dl_{r,tp,t=2}}{da_{r,tp,t=2}}\right)^{\frac{1}{psi_{r,tp,t=2}}} * \frac{pl_{r,tp,t=2}}{pWo_{tp,t=2}} } $
+$ p1_{r,tp,t=1} = 1 - q1_{r,tp,t=1} $
+$ dc_{r,tp,t=2} = \left(q1_{r,tp,t=1} * da_{r,tp,t=2}^{\frac{psi_{r,tp,t=2}-1}{psi_{r,tp,t=2}}} + p1_{r,tp,t=1} * dl_{r,tp,t=2}^{\frac{psi_{r,tp,t=2}-1}{psi_{r,tp,t=2}}} \right)^{\frac{psi_{r,tp,t=2}}{psi_{r,tp,t=2}-1}} $
+$ pc_{r,tp,t=2} = {\frac{da_{r,tp,t=2}}{dc_{r,tp,t=2}}}* pWo_{tp,t=2} + {\frac{dl_{r,tp,t=2}}{dc_{r,tp,t=2}}}* pl_{r,tp,t=2} $
+$ pw_{r,tp,t=2}= \frac{dl_{r,tp,t=2}*pl_{r,tp,t=2}+da_{r,tp,t=2}*pW0_{tp,t=2}}{dl_{r,tp,t=2}+da_{r,tp,t=2}} $
+$ k_{r,tp,t=2} = k1_{r,tp,t=2}*sl_{r,tp,t=2} $
+$ t1_{r,pp,t=1} = \frac{1}{ 1 + \left(\frac{sl_{r,pp,t=2}}{sa_{r,pp,t=2}}\right)^{\frac{1}{eta_{r,pp,t=2}}} * \frac{pl_{r,pp,t=2}}{pWo_{pp,t=2}} } $
+$ r1_{r,pp,t=1} = 1 - t1_{r,pp,t=1} $
+$ sc_{r,pp,t=2} = \left(t1_{r,pp,t=1} * sa_{r,pp,t=2}^{\frac{eta_{r,pp,t=2}-1}{eta_{r,pp,t=2}}} + r1_{r,pp,t=1} * sl_{r,pp,t=2}^{\frac{eta_{r,pp,t=2}-1}{eta_{r,pp,t=2}}} \right)^{\frac{eta_{r,pp,t=2}}{eta_{r,pp,t=2}-1}} $
+$ pc_{r,pp,t=2} = {\frac{sa_{r,pp,t=2}}{sc_{r,pp,t=2}}}* pWo_{pp,t=2} + {\frac{sl_{r,pp,t=2}}{sc_{r,pp,t=2}}}* pl_{r,pp,t=2} $
+$ pw_{r,pp,t=2}= \frac{sl_{r,pp,t=2}*pl_{r,pp,t=2}+sa_{r,pp,t=2}*pW0_{pp,t=2}}{sl_{r,pp,t=2}+sa_{r,pp,t=2}} $

French Forest Sector Model (FFSM++)

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