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DynamicSpatialModel.mod
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@#includepath "DynareTransformationEngine"
@#include "Initialize.mod"
@#define UsingGrowthSyntax = 1
@#define SpatialDimensions = 2
@#define SpatialPointsPerDimension = 8
@#define SpatialShape = "Torus"
@#if SpatialDimensions == 1
@#define SpatialNorm = "1"
@#else
@#define SpatialNorm = "2"
@#endif
@#if SpatialShape[1] == "P"
@#define SpatialShockProcesses = SpatialShockProcesses + [ "AT", "0", "Inf", "1", "0.9", "0.001", "exp(-zeta*@)#" ]
@#else
@#define SpatialShockProcesses = SpatialShockProcesses + [ "AT", "0", "Inf", "1", "0.9", "0.001", "(exp(-zeta*@+zeta*dBar)+exp(zeta*@-zeta*dBar))/(exp(zeta*dBar)+exp(-zeta*dBar))#" ]
@#endif
@#define ShockProcesses = ShockProcesses + [ "GA", "0", "Inf", "1.005", "0.8", "0.001" ]
@#define ShockProcesses = ShockProcesses + [ "GN", "0", "Inf", "1.0025", "0.5", "0.001" ]
@#define ShockProcesses = ShockProcesses + [ "tau", "0", "Inf", "1", "0.95", "0.001" ]
@#define ShockProcesses = ShockProcesses + [ "phi", "0", "Inf", "1", "0.95", "0.001" ]
@#define ShockProcesses = ShockProcesses + [ "beta", "0", "1", "0.99", "0.95", "0.001" ]
@#define PureTrendEndoVariables = PureTrendEndoVariables + [ "AP", "GA" ]
@#include "CreateShocks.mod"
@#define EndoVariables = EndoVariables + [ "R", "0", "Inf", "1" ]
@#define EndoVariables = EndoVariables + [ "GYTrend", "0", "Inf", "1" ]
@#define EndoVariables = EndoVariables + [ "GZTrend", "0", "Inf", "1" ]
@#define EndoVariables = EndoVariables + [ "GFTrend", "0", "Inf", "1" ]
@#define EndoVariables = EndoVariables + [ "GPTrend", "0", "Inf", "1" ]
@#define EndoVariables = EndoVariables + [ "GUTrend", "0", "Inf", "1" ]
@#define EndoVariables = EndoVariables + [ "GmuNTrend", "0", "Inf", "1" ]
@#for Point in 1 : SpatialNumPoints
@#define Index1 = IndicesStringArray[Point]
@#define EndoVariables = EndoVariables + [ "C" + Index1, "0", "Inf", "GYTrend" ]
@#define EndoVariables = EndoVariables + [ "K" + Index1, "0", "Inf", "GYTrend" ]
@#define EndoVariables = EndoVariables + [ "I" + Index1, "0", "Inf", "GYTrend" ]
@#define EndoVariables = EndoVariables + [ "E" + Index1, "0", "Inf", "GFTrend" ]
@#define EndoVariables = EndoVariables + [ "F" + Index1, "0", "Inf", "GFTrend" ]
@#define EndoVariables = EndoVariables + [ "Q" + Index1, "0", "Inf", "GPTrend" ]
@#define EndoVariables = EndoVariables + [ "J" + Index1, "0", "Inf", "GZTrend" ]
@#define EndoVariables = EndoVariables + [ "L" + Index1, "0", "Inf", "1" ]
@#define EndoVariables = EndoVariables + [ "H" + Index1, "0", "Inf", "GN" ]
@#define EndoVariables = EndoVariables + [ "N" + Index1, "0", "Inf", "GN" ]
@#define EndoVariables = EndoVariables + [ "SN" + Index1, "0", "Inf", "GN" ]
@#define EndoVariables = EndoVariables + [ "SD" + Index1, "0", "Inf", "GN" ]
@#define EndoVariables = EndoVariables + [ "muN" + Index1, "0", "Inf", "GmuNTrend" ]
@#define EndoVariables = EndoVariables + [ "U" + Index1, "0", "Inf", "GUTrend" ]
@#endfor
@#define EndoVariables = EndoVariables + [ "C", "0", "Inf", "GYTrend" ]
@#define EndoVariables = EndoVariables + [ "K", "0", "Inf", "GYTrend" ]
@#define EndoVariables = EndoVariables + [ "I", "0", "Inf", "GYTrend" ]
@#define EndoVariables = EndoVariables + [ "F", "0", "Inf", "GFTrend" ]
@#define EndoVariables = EndoVariables + [ "J", "0", "Inf", "GZTrend" ]
@#define EndoVariables = EndoVariables + [ "L", "0", "Inf", "1" ]
@#define EndoVariables = EndoVariables + [ "H", "0", "Inf", "GN" ]
@#define EndoVariables = EndoVariables + [ "SN", "0", "Inf", "GN" ]
@#define EndoVariables = EndoVariables + [ "SD", "0", "Inf", "GN" ]
@#define EndoVariables = EndoVariables + [ "U", "0", "Inf", "GUTrend" ]
@#define AggregatedVariables = [ "C", "K", "I", "F", "J", "L", "H", "SN", "SD", "U" ]
@#include "ClassifyDeclare.mod"
parameters alpha gamma kappa nu varsigma zeta lambda deltaJ deltaK Phi2 thetaC thetaF thetaL thetaH thetaN psi1 psi2 psi3 Gamma Omega dBar;
parameters UtilityParamSum;
alpha = 0.3;
gamma = 0.5;
kappa = 0.5;
nu = 2;
varsigma = 1.5;
zeta = 8;
lambda = 0.1;
deltaJ = 0.01;
deltaK = 0.03;
Phi2 = 4;
thetaC = 4;
thetaF = 1; // food off-premises, food services + clothing = about 20% of ( PCE minus housing ) https://www.bea.gov/iTable/iTable.cfm?reqid=19&step=2#reqid=19&step=3&isuri=1&1910=x&0=-9&1921=survey&1903=65&1904=2015&1905=2017&1906=a&1911=0
thetaL = 0.25 / 0.75 * thetaF * gamma; // target of 0.75 for steady-state land use in agriculture, following data from https://www.ers.usda.gov/data-products/major-land-uses/
thetaH = 4;
thetaN = 5.1;
psi1 = 0.5;
psi2 = 0.5;
psi3 = psi1 * 0.02 / ( 1 - 0.02 ); // http://eyeonhousing.org/2013/01/latest-study-shows-average-buyer-expected-to-stay-in-a-home-13-years/
UtilityParamSum = thetaC + thetaF + thetaL + thetaH + thetaN + psi1 + psi2 + psi3;
thetaC = thetaC / UtilityParamSum;
thetaF = thetaF / UtilityParamSum;
thetaL = thetaL / UtilityParamSum;
thetaH = thetaH / UtilityParamSum;
thetaN = thetaN / UtilityParamSum;
psi1 = psi1 / UtilityParamSum;
psi2 = psi2 / UtilityParamSum;
psi3 = psi3 / UtilityParamSum;
Gamma = 1;
Omega = 3; // pop/km^2 for the contiguous US is 41.5. for wyoming it is 2.33 for new jersey it is 470. correspond to abs log ratios of 2.88 and 2.43 respectively.
@#if SpatialShape[1] == "P"
dBar = ( @{SpatialDimensions} ) ^ ( 1 / ( @{SpatialNorm} ) );
@#else
dBar = ( @{SpatialDimensions} * ( 0.5 ^ ( @{SpatialNorm} ) ) ) ^ ( 1 / ( @{SpatialNorm} ) );
@#endif
model;
@#include "InsertNewModelEquations.mod"
GYTrend = ( GA * GN ) ^ ( ( 1 - alpha ) * ( 1 - kappa ) * ( 1 + lambda ) / ( ( 1 - alpha ) * ( 1 - kappa ) * ( 1 + lambda ) - lambda ) );
GZTrend = GYTrend ^ ( 1 / ( 1 + lambda ) );
// GJTrend = GYTrend ^ ( 1 / ( 1 + lambda ) );
GFTrend = GYTrend ^ ( ( 1 - gamma ) / ( 1 + lambda ) );
// GSRLTrend = GYTrend ^ ( ( 1 - gamma ) / ( 1 + lambda ) );
// GWTrend = GYTrend ^ ( ( 1 - gamma ) / ( 1 + lambda ) ) / GN;
GPTrend = GYTrend ^ ( - ( gamma + lambda ) / ( 1 + lambda ) );
// GQTrend = GYTrend ^ ( - ( gamma + lambda ) / ( 1 + lambda ) );
// GSRKTrend = GYTrend ^ ( - ( gamma + lambda ) / ( 1 + lambda ) );
// GSPTrend = GYTrend ^ ( - gamma / ( 1 + lambda ) );
// GPiTrend = GYTrend ^ ( - gamma / ( 1 + lambda ) );
// GYBarTrend = GYTrend ^ ( - gamma / lambda );
GUTrend = GYTrend ^ ( thetaC + thetaF * ( 1 - gamma ) / ( 1 + lambda ) ) / GN ^ ( thetaC + thetaF + thetaL );
GmuNTrend = GYTrend ^ ( ( thetaC + thetaF * ( 1 - gamma ) / ( 1 + lambda ) ) * ( 1 - varsigma ) ) / GN ^ ( ( thetaC + thetaF + thetaL ) * ( 1 - varsigma ) );
#N = 0
@#for Point1 in 1 : SpatialNumPoints
@#define Index1 = IndicesStringArray[Point1]
+ Weight@{Index1} * N@{Index1}
@#endfor
;
#N_LAG = 0
@#for Point1 in 1 : SpatialNumPoints
@#define Index1 = IndicesStringArray[Point1]
+ Weight@{Index1} * N@{Index1}_LAG
@#endfor
;
@#for Point1 in 1 : SpatialNumPoints
@#define Index1 = IndicesStringArray[Point1]
#A@{Index1} = AP * AT@{Index1};
#A@{Index1}_LEAD = AP_LEAD * AT@{Index1}_LEAD;
#ZF@{Index1} = ( F@{Index1} / L@{Index1} ^ gamma ) ^ ( 1 / ( 1 - gamma ) );
#SRL@{Index1} = gamma * F@{Index1} / L@{Index1};
#SP@{Index1} = ( 1 - gamma ) * F@{Index1} / ZF@{Index1};
#ZF@{Index1}_LEAD = ( F@{Index1}_LEAD / L@{Index1}_LEAD ^ gamma ) ^ ( 1 / ( 1 - gamma ) );
#SP@{Index1}_LEAD = ( 1 - gamma ) * F@{Index1}_LEAD / ZF@{Index1}_LEAD;
K@{Index1} = ( 1 - deltaK ) * K@{Index1}_LAG + ( 1 - Phi2 / 2 * ( I@{Index1} / I@{Index1}_LAG - 1 ) ^ 2 ) * I@{Index1};
@#for Point2 in 1 : SpatialNumPoints
@#define Index2 = IndicesStringArray[Point2]
#SN@{Index1}@{Index2} = psi3 * N@{Index2}_LAG / N_LAG / ( ( muN@{Index1} - muN@{Index2} ) / ( ( 1 - varsigma ) * N@{Index1}_LAG * U@{Index1} ^ ( 1 - varsigma ) ) + psi1 / ( N@{Index1}_LAG - SN@{Index1} ) + psi2 * ( Distance@{Index1}@{Index2} * SN@{Index1} - SD@{Index1} ) / ( dBar * SN@{Index1} * SN@{Index1} - SN@{Index1} * SD@{Index1} ) );
@#endfor
SN@{Index1} = 0
@#for Point2 in 1 : SpatialNumPoints
@#define Index2 = IndicesStringArray[Point2]
+ Weight@{Index2} * SN@{Index1}@{Index2}
@#endfor
;
SD@{Index1} = 0
@#for Point2 in 1 : SpatialNumPoints
@#define Index2 = IndicesStringArray[Point2]
+ Weight@{Index2} * Distance@{Index1}@{Index2} * SN@{Index1}@{Index2}
@#endfor
;
U@{Index1} = ( C@{Index1} / N@{Index1}_LAG ) ^ thetaC
* ( E@{Index1} / N@{Index1}_LAG ) ^ thetaF
* ( ( 1 - L@{Index1} ) / N@{Index1}_LAG ) ^ thetaL
* ( 1 / ( 1 + nu ) * Gamma ^ ( 1 + nu ) - 1 / ( 1 + nu ) * ( H@{Index1} / N@{Index1}_LAG ) ^ ( 1 + nu ) ) ^ thetaH
* ( 1 / 2 * Omega ^ 2 - 1 / 2 * log( N@{Index1}_LAG / N_LAG ) ^ 2 ) ^ thetaN
* ( 1 - SN@{Index1} / N@{Index1}_LAG ) ^ psi1
* ( dBar - SD@{Index1} / SN@{Index1} ) ^ psi2
* exp( psi3 * ( 0
@#for Point2 in 1 : SpatialNumPoints
@#define Index2 = IndicesStringArray[Point2]
+ Weight@{Index2} * N@{Index2}_LAG / N_LAG * log( SN@{Index1}@{Index2} / N@{Index1}_LAG )
@#endfor
) );
muN@{Index1} = beta * ( muN@{Index1}_LEAD * GN_LEAD + U@{Index1}_LEAD ^ ( 1 - varsigma ) + ( 1 - varsigma ) * U@{Index1}_LEAD ^ ( 1 - varsigma ) * (
thetaH * ( H@{Index1}_LEAD / N@{Index1} ) ^ ( 1 + nu ) / ( 1 / ( 1 + nu ) * Gamma ^ ( 1 + nu ) - 1 / ( 1 + nu ) * ( H@{Index1}_LEAD / N@{Index1} ) ^ ( 1 + nu ) )
- thetaN * log( N@{Index1} / N ) / ( 1 / 2 * Omega ^ 2 - 1 / 2 * log( N@{Index1} / N ) ^ 2 )
+ psi1 * SN@{Index1}_LEAD / ( N@{Index1} - SN@{Index1}_LEAD )
- ( thetaC + thetaF + thetaL + psi3 )
) );
@#endfor
@#define Index1 = IndicesStringArray[1]
#Xi_LEAD = beta * ( N@{Index1} / N@{Index1}_LAG ) * ( E@{Index1} / E@{Index1}_LEAD ) * ( U@{Index1}_LEAD / U@{Index1} ) ^ ( 1 - varsigma );
@#for Point2 in 2 : SpatialNumPoints
@#define Index2 = IndicesStringArray[Point2]
E@{Index1} / N@{Index1}_LAG / U@{Index1} ^ ( 1 - varsigma ) = E@{Index2} / N@{Index2}_LAG / U@{Index2} ^ ( 1 - varsigma );
@#endfor
@#for Point1 in 2 : SpatialNumPoints
@#define Index1 = IndicesStringArray[Point1]
N@{Index1} = GN * N@{Index1}_LAG - SN@{Index1}
@#for Point2 in 1 : SpatialNumPoints
@#define Index2 = IndicesStringArray[Point2]
+ Weight@{Index2} * SN@{Index2}@{Index1}
@#endfor
;
@#endfor
1 = 0
@#for Point2 in 1 : SpatialNumPoints
@#define Index2 = IndicesStringArray[Point2]
+ Weight@{Index2} * N@{Index2}
@#endfor
;
@#for Point1 in 1 : SpatialNumPoints
@#define Index1 = IndicesStringArray[Point1]
#P@{Index1} = ( 1 + lambda ) * ( 0
@#for Point2 in 1 : SpatialNumPoints
@#define Index2 = IndicesStringArray[Point2]
+ Weight@{Index2} * J@{Index2} * ( SP@{Index2} * exp( tau * Distance@{Index1}@{Index2} ) ) ^ ( - 1 / lambda )
@#endfor
) ^ ( - lambda );
#P@{Index1}_LEAD = ( 1 + lambda ) * ( 0
@#for Point2 in 1 : SpatialNumPoints
@#define Index2 = IndicesStringArray[Point2]
+ Weight@{Index2} * J@{Index2}_LEAD * ( SP@{Index2}_LEAD * exp( tau * Distance@{Index1}@{Index2} ) ) ^ ( - 1 / lambda )
@#endfor
) ^ ( - lambda );
#Z@{Index1} = ( ( K@{Index1}_LAG ^ alpha * ( A@{Index1} * H@{Index1} ) ^ ( 1 - alpha ) ) ^ ( 1 - kappa ) * ( kappa * SP@{Index1} / P@{Index1} ) ^ kappa ) ^ ( 1 / ( 1 - kappa ) );
#Z@{Index1}_LEAD = ( ( K@{Index1} ^ alpha * ( A@{Index1}_LEAD * H@{Index1}_LEAD ) ^ ( 1 - alpha ) ) ^ ( 1 - kappa ) * ( kappa * SP@{Index1}_LEAD / P@{Index1}_LEAD ) ^ kappa ) ^ ( 1 / ( 1 - kappa ) );
#M@{Index1} = kappa * SP@{Index1} * Z@{Index1} / P@{Index1};
#SRK@{Index1} = ( 1 - kappa ) * alpha * SP@{Index1} * Z@{Index1} / K@{Index1}_LAG;
#SRK@{Index1}_LEAD = ( 1 - kappa ) * alpha * SP@{Index1}_LEAD * Z@{Index1}_LEAD / K@{Index1};
#W@{Index1} = ( 1 - kappa ) * ( 1 - alpha ) * SP@{Index1} * Z@{Index1} / H@{Index1};
1 = Xi_LEAD * ( SRK@{Index1}_LEAD + Q@{Index1}_LEAD * ( 1 - deltaK ) ) / Q@{Index1};
P@{Index1} = Q@{Index1} * ( 1 - Phi2 / 2 * ( I@{Index1} / I@{Index1}_LAG - 1 ) ^ 2 - Phi2 * ( I@{Index1} / I@{Index1}_LAG - 1 ) * I@{Index1} / I@{Index1}_LAG ) + Xi_LEAD * Q@{Index1}_LEAD * Phi2 * ( I@{Index1}_LEAD / I@{Index1} - 1 ) * ( I@{Index1}_LEAD / I@{Index1} ) ^ 2;
#Y@{Index1} = C@{Index1} + I@{Index1} + M@{Index1};
thetaC * E@{Index1} = thetaF * P@{Index1} * C@{Index1};
thetaL * E@{Index1} = thetaF * SRL@{Index1} * ( 1 - L@{Index1} );
thetaH * ( H@{Index1} / N@{Index1}_LAG ) ^ nu = thetaF * N@{Index1} / E@{Index1} * W@{Index1} * ( 1 / ( 1 + nu ) * Gamma ^ ( 1 + nu ) - 1 / ( 1 + nu ) * ( H@{Index1} / N@{Index1}_LAG ) ^ ( 1 + nu ) );
@#endfor
@#for Point1 in 1 : SpatialNumPoints
@#define Index1 = IndicesStringArray[Point1]
#YBar@{Index1} = 0
@#for Point2 in 1 : SpatialNumPoints
@#define Index2 = IndicesStringArray[Point2]
+ Weight@{Index2} * Y@{Index2} * P@{Index2} ^ ( ( 1 + lambda ) / lambda ) * exp( - tau / lambda * Distance@{Index1}@{Index2} )
@#endfor
;
#Pi@{Index1} = lambda / ( 1 + lambda ) * ( 1 + lambda ) ^ ( - 1 / lambda ) * SP@{Index1} ^ ( - 1 / lambda ) * YBar@{Index1};
phi * SP@{Index1} = Pi@{Index1} + ( 1 - deltaJ ) * Xi_LEAD * phi_LEAD * SP@{Index1}_LEAD;
Z@{Index1} = ZF@{Index1} + phi * ( J@{Index1} - ( 1 - deltaJ ) * J@{Index1}_LAG ) + J@{Index1} * ( ( 1 + lambda ) * SP@{Index1} ) ^ ( - ( 1 + lambda ) / lambda ) * YBar@{Index1};
@#endfor
1 = R * Xi_LEAD;
0 = 0
@#for Point1 in 1 : SpatialNumPoints
@#define Index1 = IndicesStringArray[Point1]
+ Weight@{Index1} * ( E@{Index1} - F@{Index1} )
@#endfor
;
@#for VariableName in AggregatedVariables
@{VariableName} = 0
@#for Point1 in 1 : SpatialNumPoints
@#define Index1 = IndicesStringArray[Point1]
+ Weight@{Index1} * @{VariableName}@{Index1}
@#endfor
;
@#endfor
end;
@#if SpatialShape[1] == "P"
@#define LoadSteadyState = 1
@#else
@#define LoadSteadyState = 0
@#endif
@#if LoadSteadyState
load_params_and_steady_state( 'SteadyState.txt' );
@#else
steady_state_model;
@#include "InsertNewStartSteadyStateEquations.mod"
GYTrend_ = ( GA_ * GN_ ) ^ ( ( 1 - alpha ) * ( 1 - kappa ) * ( 1 + lambda ) / ( ( 1 - alpha ) * ( 1 - kappa ) * ( 1 + lambda ) - lambda ) );
GZTrend_ = GYTrend_ ^ ( 1 / ( 1 + lambda ) );
GJTrend_ = GYTrend_ ^ ( 1 / ( 1 + lambda ) );
GFTrend_ = GYTrend_ ^ ( ( 1 - gamma ) / ( 1 + lambda ) );
// GSRLTrend_ = GYTrend_ ^ ( ( 1 - gamma ) / ( 1 + lambda ) );
// GWTrend_ = GYTrend_ ^ ( ( 1 - gamma ) / ( 1 + lambda ) ) / GN_;
GPTrend_ = GYTrend_ ^ ( - ( gamma + lambda ) / ( 1 + lambda ) );
GQTrend_ = GYTrend_ ^ ( - ( gamma + lambda ) / ( 1 + lambda ) );
GSRKTrend_ = GYTrend_ ^ ( - ( gamma + lambda ) / ( 1 + lambda ) );
GSPTrend_ = GYTrend_ ^ ( - gamma / ( 1 + lambda ) );
// GPiTrend_ = GYTrend_ ^ ( - gamma / ( 1 + lambda ) );
// GYBarTrend_ = GYTrend_ ^ ( - gamma / lambda );
GUTrend_ = GYTrend_ ^ ( thetaC + thetaF * ( 1 - gamma ) / ( 1 + lambda ) ) / GN_ ^ ( thetaC + thetaF + thetaL );
GmuNTrend_ = GYTrend_ ^ ( ( thetaC + thetaF * ( 1 - gamma ) / ( 1 + lambda ) ) * ( 1 - varsigma ) ) / GN_ ^ ( ( thetaC + thetaF + thetaL ) * ( 1 - varsigma ) );
Xi_LEAD_ = beta_ * GN_ / GFTrend_ * GUTrend_ ^ ( 1 - varsigma );
L_1_ = thetaF * gamma / ( thetaL + thetaF * gamma );
R_ = 1 / Xi_LEAD_;
N_1_ = 1;
N_ = N_1_;
N_1_LAG_ = 1 / GN_;
N_LAG_ = N_1_LAG_;
SN_1_ = psi3 / ( psi1 + psi3 ) * N_1_LAG_;
@#define Index1 = IndicesStringArray[1]
SD_1_ = GetSD_1_( psi1, psi2, psi3, N_1_LAG_, SN_1_, dBar
@#for Point2 in 1 : SpatialNumPoints
@#define Index2 = IndicesStringArray[Point2]
, Distance@{Index1}@{Index2}_
@#endfor
);
@#for Point2 in 1 : SpatialNumPoints
@#define Index2 = IndicesStringArray[Point2]
SN@{Index1}@{Index2}_ = psi3 / ( psi1 / ( N_1_LAG_ - SN_1_ ) + psi2 * ( Distance@{Index1}@{Index2}_ * SN_1_ - SD_1_ ) / ( dBar * SN_1_ * SN_1_ - SN_1_ * SD_1_ ) );
@#endfor
A_1_ = 1;
A_1_LEAD_ = GA_;
AverageTransportCost_ = ( 0
@#for Point2 in 1 : SpatialNumPoints
@#define Index2 = IndicesStringArray[Point2]
+ Weight@{Index2}_ * exp( - tau_ / lambda * Distance@{Index1}@{Index2}_ )
@#endfor
) ^ ( - lambda );
P_1_Over_Q_1_ = ( 1 - Phi2 / 2 * ( GYTrend_ - 1 ) ^ 2 - Phi2 * ( GYTrend_ - 1 ) * GYTrend_ ) + Xi_LEAD_ * GQTrend_ * Phi2 * ( GYTrend_ - 1 ) * GYTrend_ ^ 2;
F_1_ = GetF_1_( A_1_, N_1_, N_1_LAG_, nu, gamma, Gamma, L_1_, lambda, phi_, deltaJ, GJTrend_, AverageTransportCost_, thetaC, thetaF, thetaH, kappa, alpha, GYTrend_, GSRKTrend_, P_1_Over_Q_1_, Xi_LEAD_, deltaK, Phi2, GSPTrend_ );
K_1_ = GetK_1_( 1 );
H_1_ = GetH_1_( 1 );
Q_1_ = GetQ_1_( 1 );
ZF_1_ = ( F_1_ / L_1_ ^ gamma ) ^ ( 1 / ( 1 - gamma ) );
SP_1_ = ( 1 - gamma ) * F_1_ / ZF_1_;
P_1_ = P_1_Over_Q_1_ * Q_1_;
Z_1_ = ( ( ( K_1_ / GYTrend_ ) ^ alpha * ( A_1_ * H_1_ ) ^ ( 1 - alpha ) ) ^ ( 1 - kappa ) * ( kappa * SP_1_ / P_1_ ) ^ kappa ) ^ ( 1 / ( 1 - kappa ) );
SRK_1_ = ( 1 - kappa ) * alpha * SP_1_ * Z_1_ / ( K_1_ / GYTrend_ );
W_1_ = ( 1 - kappa ) * ( 1 - alpha ) * SP_1_ * Z_1_ / H_1_;
C_1_ = thetaC * F_1_ / ( thetaF * P_1_ );
I_1_ = K_1_ * ( 1 - ( 1 - deltaK ) / GYTrend_ ) / ( 1 - Phi2 / 2 * ( GYTrend_ - 1 ) ^ 2 );
M_1_ = kappa * SP_1_ * Z_1_ / P_1_;
Y_1_ = C_1_ + I_1_ + M_1_;
YBar_1_ = Y_1_ * P_1_ ^ ( ( 1 + lambda ) / lambda ) * AverageTransportCost_ ^ ( - 1 / lambda );
Pi_1_ = lambda / ( 1 + lambda ) * ( 1 + lambda ) ^ ( - 1 / lambda ) * SP_1_ ^ ( - 1 / lambda ) * YBar_1_;
J_1_ = ( ( 1 + lambda ) * SP_1_ * AverageTransportCost_ / P_1_ ) ^ ( 1 / lambda );
E_1_ = F_1_;
U_1_ = ( C_1_ / N_1_LAG_ ) ^ thetaC
* ( F_1_ / N_1_LAG_ ) ^ thetaF
* ( ( 1 - L_1_ ) / N_1_LAG_ ) ^ thetaL
* ( 1 / ( 1 + nu ) * Gamma ^ ( 1 + nu ) - 1 / ( 1 + nu ) * ( H_1_ / N_1_LAG_ ) ^ ( 1 + nu ) ) ^ thetaH
* ( 1 / 2 * Omega ^ 2 ) ^ thetaN
* ( 1 - SN_1_ / N_1_LAG_ ) ^ psi1
* ( dBar - SD_1_ / SN_1_ ) ^ psi2
* exp( psi3 * ( 0
@#for Point2 in 1 : SpatialNumPoints
@#define Index2 = IndicesStringArray[Point2]
+ Weight@{Index2}_ * log( SN@{Index1}@{Index2}_ / N_1_LAG_ )
@#endfor
) );
U_1_LEAD_ = U_1_ * GUTrend_;
H_1_LEAD_ = H_1_ * GN_;
muN_1_ = beta_ * ( U_1_LEAD_ ^ ( 1 - varsigma ) + ( 1 - varsigma ) * U_1_LEAD_ ^ ( 1 - varsigma ) * ( thetaH * ( H_1_LEAD_ / N_1_ ) ^ ( 1 + nu ) / ( 1 / ( 1 + nu ) * Gamma ^ ( 1 + nu ) - 1 / ( 1 + nu ) * ( H_1_LEAD_ / N_1_ ) ^ ( 1 + nu ) ) + psi1 * SN_1_ * GN_ / ( N_1_ - SN_1_ * GN_ ) - ( thetaC + thetaF + thetaL + psi3 ) ) ) / ( 1 - beta_ * GmuNTrend_ * GN_ );
@#for VariableName in AggregatedVariables
@{VariableName}_ = @{VariableName}_1_;
@#endfor
@#for Point1 in 1 : SpatialNumPoints
@#define Index1 = IndicesStringArray[Point1]
C@{Index1}_ = C_1_;
K@{Index1}_ = K_1_;
I@{Index1}_ = I_1_;
E@{Index1}_ = E_1_;
F@{Index1}_ = F_1_;
Q@{Index1}_ = Q_1_;
J@{Index1}_ = J_1_;
L@{Index1}_ = L_1_;
H@{Index1}_ = H_1_;
N@{Index1}_ = N_1_;
SN@{Index1}_ = SN_1_;
SD@{Index1}_ = SD_1_;
muN@{Index1}_ = muN_1_;
U@{Index1}_ = U_1_;
@#endfor
@#include "InsertNewEndSteadyStateEquations.mod"
end;
@#endif
@#define Deterministic = 0
shocks;
@#if Deterministic
// This is row 37 of sqrtm( M_.Sigma_e( 6:end, 6:end ) ) when the model is run with Deterministic = 0
@#define ImpulseValues = [ "0.000696148115243237", "0.000371150838989358", "-8.78536948609384e-05", "-0.000422908976433854", "-0.000584004323972896", "-0.000422908976434025", "-8.78536948608953e-05", "0.000371150838989199", "0.000371150838988895", "0.00257404871124431", "0.00515834258373992", "0.00869684235182027", "0.0105438251489022", "0.00869684235181994", "0.00515834258373983", "0.00257404871124433", "-8.78536948610069e-05", "0.00515834258373976", "0.0129027156681362", "0.0274642826537827", "0.0372639907921042", "0.0274642826537831", "0.0129027156681361", "0.00515834258373973", "-0.000422908976434043", "0.00869684235182006", "0.0274642826537831", "0.0854621538241213", "0.154136302618233", "0.0854621538241214", "0.0274642826537830", "0.00869684235182020", "-0.000584004323973137", "0.0105438251489024", "0.0372639907921038", "0.154136302618233", "0.928550829279997", "0.154136302618233", "0.0372639907921042", "0.0105438251489024", "-0.000422908976434094", "0.00869684235182022", "0.0274642826537827", "0.0854621538241215", "0.154136302618233", "0.0854621538241213", "0.0274642826537830", "0.00869684235182034", "-8.78536948610440e-05", "0.00515834258374003", "0.0129027156681362", "0.0274642826537828", "0.0372639907921042", "0.0274642826537829", "0.0129027156681359", "0.00515834258373981", "0.000371150838989175", "0.00257404871124437", "0.00515834258373976", "0.00869684235182014", "0.0105438251489024", "0.00869684235182007", "0.00515834258373997", "0.00257404871124420" ]
@#for Point1 in 1 : SpatialNumPoints
@#define Index1 = IndicesStringArray[Point1]
var epsilon_AT@{Index1};
periods 1;
values @{ImpulseValues[Point1]};
@#endfor
@#else
@#include "InsertNewShockBlockLines.mod"
@#endif
end;
options_.qz_criterium = 1 - 1e-8;
steady;
check;
@#if LoadSteadyState
save_params_and_steady_state( 'SteadyState2.txt' );
@#else
save_params_and_steady_state( 'SteadyState.txt' );
@#endif
@#if Deterministic
simul( periods = 10000, maxit = 1000000, tolf = 1e-8, tolx = 1e-8, stack_solve_algo = 7, solve_algo = 0 ); // endogenous_terminal_period
@#else
stoch_simul( order = 1, irf = 400, periods = 0, nocorr, nofunctions, nodisplay, nograph, irf_shocks = ( epsilon_AT_5_5, epsilon_GA, epsilon_GN, epsilon_tau, epsilon_phi, epsilon_beta ) ); // k_order_solver
@#endif