Essential use of BeforeIT
We start by importing the BeforeIT library and other useful libraries.
import BeforeIT as Bit
using Plots, StatsPlotsWe then initialise the model loading some precomputed set of parameters and by specifying a number of epochs. In another tutorial we will illustrate how to compute parameters and initial conditions.
parameters = Bit.AUSTRIA2010Q1.parameters
initial_conditions = Bit.AUSTRIA2010Q1.initial_conditionsDict{String, Any} with 21 entries:
"sb_inact" => 2.23847
"C_G" => [11482.3; 11556.2; … ; 14578.2; 14714.8;;]
"E_CB" => 1.0618e5
"sb_other" => 0.590286
"D_RoW" => 0.0
"L_I" => 236919.0
"omega" => 0.85
"r_bar" => 0.00164593
"N_s" => [123.0; 18.0; … ; 5.0; 60.0;;]
"C_E" => [17384.5; 17752.9; … ; 38786.7; 38617.8;;]
"D_H" => 219841.0
"K_H" => 4.05377e5
"L_G" => 2.32611e5
"pi" => [-0.00749736; -0.00789543; … ; 0.00530319; 0.00100796;;]
"w_UB" => 4.06546
"Y" => [1.04531e5; 1.05062e5; … ; 1.35709e5; 1.34636e5;;]
"Y_I" => [19804.6; 19944.1; … ; 36883.2; 36575.9;;]
"Y_EA" => 2.35485e6
"D_I" => 54049.0
⋮ => ⋮We can now initialise the model
model = Bit.Model(parameters, initial_conditions);Note that the it is very simple to inspect the model by typing
fieldnames(typeof(model))(:w_act, :w_inact, :firms, :bank, :cb, :gov, :rotw, :agg, :prop, :data)and to inspect the specific attributes of one agent type by typing
fieldnames(typeof(model.bank))(:E_k, :Pi_k, :Pi_e_k, :D_k, :r, :Y_h, :C_d_h, :I_d_h, :C_h, :I_h, :K_h, :D_h)We can run now the model for a number of epochs
T = 16
for _ in 1:T
Bit.step!(model; parallel = true)
Bit.collect_data!(model)
endNote that we can equivalently run the model for a number of steps in the single command Bit.run!(model), but writing the loop explicitely is more instructive. We can then plot any time series stored in the data tracker, for example
plot(model.data.real_gdp, title = "gdp", titlefont = 10)Or we can plot multiple time series at once using the function plot_data
ps = Bit.plot_data(model, quantities = [:real_gdp, :real_household_consumption, :real_government_consumption, :real_capitalformation, :real_exports, :real_imports, :wages, :euribor, :gdp_deflator])
plot(ps..., layout = (3, 3))To run multiple Monte-Carlo repetitions in parallel we can use
models = (Bit.Model(parameters, initial_conditions) for _ in 1:2)
models = Bit.ensemblerun!(models, T)2-element Vector{BeforeIT.Model{BeforeIT.Workers, BeforeIT.Workers, BeforeIT.Firms, BeforeIT.Bank, BeforeIT.CentralBank, BeforeIT.Government, BeforeIT.RestOfTheWorld, BeforeIT.Aggregates, BeforeIT.Properties, BeforeIT.Data}}:
BeforeIT.Model{BeforeIT.Workers, BeforeIT.Workers, BeforeIT.Firms, BeforeIT.Bank, BeforeIT.CentralBank, BeforeIT.Government, BeforeIT.RestOfTheWorld, BeforeIT.Aggregates, BeforeIT.Properties, BeforeIT.Data}(BeforeIT.Workers(Base.RefValue{Bool}(false), Base.RefValue{Int64}(4118), Dict{Int64, Int64}(), [1, 2, 3, 4, 5, 6, 7, 8, 9, 10 … 4109, 4110, 4111, 4112, 4113, 4114, 4115, 4116, 4117, 4118], [0.78442684187588, 0.78442684187588, 0.78442684187588, 0.78442684187588, 0.78442684187588, 0.78442684187588, 0.78442684187588, 0.78442684187588, 0.78442684187588, 0.78442684187588 … 6.417256258930522, 13.531318723698417, 3.239723942816365, 4.396333336024181, 0.7804051900289996, 13.28956189854719, 4.319178948062447, 4.833872669667675, 3.1847353542032972, 6.415155925617644], [4.145118265336349, 4.151872774887982, 4.180101663231092, 4.20587525327476, 4.151871145829633, 4.2379248797157665, 4.173200845509121, 4.198526122171168, 4.216738092924864, 4.160642000956716 … 25.68720692208329, 27.946411823779112, 24.884952459923817, 25.14687740015036, 25.13207263784423, 27.49572895119926, 25.27130051924026, 25.66369874781652, 25.055513582500613, 25.69706031429262], [7.784971028225164, 7.785986882316507, 7.784139434576825, 7.747322305676766, 7.783620323819748, 7.746745791348704, 7.784808114993254, 7.784733635587521, 7.784679993255112, 7.784508298875626 … 48.69107409562151, 54.67160999389578, 46.215383925451704, 46.95570453199684, 46.991720794926685, 53.44038641732761, 46.98857825835224, 47.260569350339644, 46.65716886038816, 47.93927570256405], [0.26882590132882545, 0.26882590132882545, 0.26882590132882545, 0.26882590132882545, 0.26882590132882545, 0.26882590132882545, 0.26882590132882545, 0.26882590132882545, 0.26882590132882545, 0.26882590132882545 … 8.883294341666685, 19.763060449936305, 4.0237912698282265, 5.792631470353404, 0.262675458922726, 19.39333390821005, 5.6746367662855715, 6.4617745425129005, 3.939695440518755, 8.880082233914374], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1 … 492, 501, 442, 56, 46, 512, 53, 435, 308, 65], [0.6189501755112199, 0.6189501755112199, 0.6189501755112199, 0.6189501755112199, 0.6189501755112199, 0.6189501755112199, 0.6189501755112199, 0.6189501755112199, 0.6189501755112199, 0.6189501755112199 … 5.063521128709675, 10.676855573813475, 2.556296643570718, 3.4689165957538153, 0.6157769004732075, 10.486097913098362, 3.4080381053439566, 3.8141559895309007, 2.512908025593571, 5.0618638655931685], [0.05138880834536949, 0.05138880834536949, 0.05138880834536949, 0.05138880834536949, 0.05138880834536949, 0.05138880834536949, 0.05138880834536949, 0.05138880834536949, 0.05138880834536949, 0.05138880834536949 … 0.42040268689005905, 0.8864540418955658, 0.21223847005434066, 0.28800943461729894, 0.05112534477559043, 0.870616242255549, 0.2829549517206042, 0.3166731974564139, 0.20863609709797715, 0.42026509136130485], [0.6187372400381269, 0.61895017551122, 0.618072007467569, 0.6187372400381269, 0.6185884076052647, 0.6187372400381269, 0.6187372400381269, 0.6148681636813427, 0.6187372400381269, 0.6187372400381269 … 5.059239115183361, 10.592464720917533, 2.5554172089139366, 3.4677231953386256, 0.6155650566918989, 10.401517092811062, 3.406865648763454, 3.7880842625584155, 2.5114392652470268, 5.019817720491091], [0.05116411192673211, 0.05138880834536949, 0.05116115533752963, 0.05116411192673211, 0.05116115533752963, 0.05116411192673211, 0.05116411192673211, 0.05116411192673211, 0.05116411192673211, 0.05116411192673211 … 0.41856448551564945, 0.8825780413632727, 0.21131046207645993, 0.2867501197863857, 0.05090180034553727, 0.8653291837304543, 0.2817177375034533, 0.31527033157521445, 0.20771183680516958, 0.4176887356547557]), BeforeIT.Workers(Base.RefValue{Bool}(false), Base.RefValue{Int64}(4130), Dict{Int64, Int64}(), [1, 2, 3, 4, 5, 6, 7, 8, 9, 10 … 4121, 4122, 4123, 4124, 4125, 4126, 4127, 4128, 4129, 4130], [2.9167435485281294, 2.9167435485281294, 2.9167435485281294, 2.9167435485281294, 2.9167435485281294, 2.9167435485281294, 2.9167435485281294, 2.9167435485281294, 2.9167435485281294, 2.9167435485281294 … 2.9167435485281294, 2.9167435485281294, 2.9167435485281294, 2.9167435485281294, 2.9167435485281294, 2.9167435485281294, 2.9167435485281294, 2.9167435485281294, 2.9167435485281294, 2.9167435485281294], [15.460974215360855, 15.380055371142564, 15.39906541465165, 15.555334284167182, 15.423273407878206, 15.331382229872165, 15.384630233164827, 15.487556499712019, 15.340377976054883, 15.415484743462894 … 15.405288574519048, 15.53145394683764, 15.444330864018665, 15.52497973821776, 15.399123132392903, 15.387208083908021, 15.690420346882574, 15.61600985882147, 15.552492343872174, 15.328374518068705], [28.763220276629365, 28.76348775509755, 28.76353082112418, 28.762582104239137, 28.75915114898696, 28.76219297496863, 28.75947678436303, 28.758428437503067, 28.763975195019345, 28.75925016442678 … 28.75998873176576, 28.760916456292378, 28.740893003005844, 28.7604027733765, 28.76069999396188, 28.759581643538368, 28.763157057549854, 28.763454696977877, 28.758672271449672, 28.749757260911647], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 … 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-1, -1, -1, -1, -1, -1, -1, -1, -1, -1 … -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], [2.301449714501687, 2.301449714501687, 2.301449714501687, 2.301449714501687, 2.301449714501687, 2.301449714501687, 2.301449714501687, 2.301449714501687, 2.301449714501687, 2.301449714501687 … 2.301449714501687, 2.301449714501687, 2.301449714501687, 2.301449714501687, 2.301449714501687, 2.301449714501687, 2.301449714501687, 2.301449714501687, 2.301449714501687, 2.301449714501687], [0.19107961024059625, 0.19107961024059625, 0.19107961024059625, 0.19107961024059625, 0.19107961024059625, 0.19107961024059625, 0.19107961024059625, 0.19107961024059625, 0.19107961024059625, 0.19107961024059625 … 0.19107961024059625, 0.19107961024059625, 0.19107961024059625, 0.19107961024059625, 0.19107961024059625, 0.19107961024059625, 0.19107961024059625, 0.19107961024059625, 0.19107961024059625, 0.19107961024059625], [2.3006579540286376, 2.3006579540286376, 2.3006579540286376, 2.3006579540286376, 2.3006579540286376, 2.301449714501688, 2.2862715219230942, 2.299503472241188, 2.2828862310862443, 2.299503472241188 … 2.3006579540286376, 2.301449714501688, 2.3006579540286376, 2.3006579540286376, 2.276191858182221, 2.2828862310862443, 2.3006579540286376, 2.3001045486437266, 2.3006579540286376, 2.3001045486437266], [0.19024411890545698, 0.19024411890545698, 0.19024411890545698, 0.19024411890545698, 0.19024411890545698, 0.19107961024059625, 0.19024411890545698, 0.19024411890545698, 0.18991922632715463, 0.19024411890545698 … 0.19024411890545698, 0.19107961024059625, 0.19024411890545698, 0.19024411890545698, 0.19024411890545698, 0.18991922632715463, 0.19024411890545698, 0.19023312538506526, 0.19024411890545698, 0.19023312538506526]), BeforeIT.Firms(Base.RefValue{Bool}(false), Base.RefValue{Int64}(624), Dict{Int64, Int64}(), [1, 2, 3, 4, 5, 6, 7, 8, 9, 10 … 615, 616, 617, 618, 619, 620, 621, 622, 623, 624], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1 … 62, 62, 62, 62, 62, 62, 62, 62, 62, 62], [10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621 … 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951], [1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485 … 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877], [0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754 … 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946], [0.26882590132882545, 0.29492934520473496, 0.31476652693454876, 0.31476652693454876, 0.30907299757151196, 0.31476652693454876, 0.3147681092961301, 0.31477537528073063, 0.3054670518773335, 0.2929788330038076 … 2.801896679385094, 2.6751046516383297, 2.6912556351646026, 2.700517632065264, 2.6751046516383297, 2.6818995774996175, 2.6105861209270644, 2.882807269566598, 2.6816449156517557, 2.6751046516383297], [0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983 … 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687], [0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721 … 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782], [0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832 … 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318], [-0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635 … 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037], [18, 1, 1, 1, 1, 1, 1, 1, 1, 1 … 2, 1, 1, 1, 1, 1, 38, 1, 1, 1], [194.15786874290023, 11.833940110110115, 12.629900309937046, 12.629900309937046, 12.401449372135119, 12.629900309937046, 12.629963801659693, 12.63025534683145, 12.256762022167974, 11.755676468512194 … 25.818027928849627, 12.324852503795965, 12.399263981354661, 12.441936235549038, 12.324852503795965, 12.356158366526723, 457.04880256880955, 13.281788573213069, 12.354985077956004, 12.324852503795965], [194.15786874290023, 11.833940110110115, 12.629900309937046, 12.629900309937046, 12.401449372135119, 12.629900309937046, 12.629963801659693, 12.63025534683145, 12.256762022167974, 11.755676468512194 … 25.818027928849627, 12.324852503795965, 12.399263981354661, 12.441936235549038, 12.324852503795965, 12.356158366526723, 457.04880256880955, 13.281788573213069, 12.354985077956004, 12.324852503795965], [194.15786874290023, 11.833940110110115, 12.629900309937046, 12.629900309937046, 12.401449372135119, 12.629900309937046, 12.629963801659693, 12.63025534683145, 12.256762022167974, 11.755676468512194 … 25.818027928849627, 12.324852503795965, 12.516814878879302, 12.476582095764064, 12.324852503795965, 12.395860353156452, 457.51970192282613, 13.281788573213069, 12.399334412046505, 12.324852503795965], [1.0029326668066798, 1.0029326668066798, 1.0029326668066798, 1.0029326668066798, 1.0029326668066798, 1.0029326668066798, 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BeforeIT.Model{BeforeIT.Workers, BeforeIT.Workers, BeforeIT.Firms, BeforeIT.Bank, BeforeIT.CentralBank, BeforeIT.Government, BeforeIT.RestOfTheWorld, BeforeIT.Aggregates, BeforeIT.Properties, BeforeIT.Data}(BeforeIT.Workers(Base.RefValue{Bool}(false), Base.RefValue{Int64}(4118), Dict{Int64, Int64}(), [1, 2, 3, 4, 5, 6, 7, 8, 9, 10 … 4109, 4110, 4111, 4112, 4113, 4114, 4115, 4116, 4117, 4118], [0.8435622790094645, 0.8490881382432393, 0.8435622790094645, 0.8341813047533647, 0.8341813047533647, 0.8341813047533647, 0.8341813047533647, 0.8341813047533647, 0.8341813047533647, 5.383919859335372 … 13.299045839375072, 5.983486522719724, 4.9203304023481325, 4.3455672050785425, 6.17989437271904, 3.3742493077826947, 3.2918978009861104, 0.8444498772912409, 4.9203304023481325, 4.372844941557171], [4.182479947539145, 4.202774365824585, 4.182902799887841, 4.180810858678785, 4.190563977880048, 4.184910533333728, 4.179626095190835, 4.195520551459105, 4.194096626849416, 4.880237023417894 … 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4, 4, 4, 4, 4, 4, 68 … 500, 375, 0, 571, 80, 307, 301, 5, 0, 59], [0.6656108546705856, 0.6699710210494108, 0.6656108546705856, 0.658208818747906, 0.658208818747906, 0.658208818747906, 0.658208818747906, 0.658208818747906, 0.658208818747906, 4.248169445483169 … 10.493581194555071, 4.721256127021205, 3.8823752624574883, 3.42885969818044, 4.876231284345172, 2.6624435699781595, 2.5974643050368096, 0.6663112120308399, 3.8823752624574883, 3.450383132718478], [0.055262846666151826, 0.05562485279081332, 0.055262846666151826, 0.05464828701265154, 0.05464828701265154, 0.05464828701265154, 0.05464828701265154, 0.05464828701265154, 0.05464828701265154, 0.3527074942216118 … 0.8712375473812091, 0.39198587521282, 0.32233715439606464, 0.28468368027752816, 0.40485280533597096, 0.22105139922605743, 0.2156564464098053, 0.05532099436783017, 0.32233715439606464, 0.2864706797746942], [0.6639430360778928, 0.6697405330360452, 0.6653818666714819, 0.658208818747906, 0.6487852259419222, 0.658208818747906, 0.658208818747906, 0.658208818747906, 0.658208818747906, 4.24816944548317 … 10.468941314914998, 4.719631888194274, 3.7619205494761867, 3.4276800784131485, 4.756632955523525, 2.6624435699781603, 2.5965707075995392, 0.6663112120308398, 3.8081917810611587, 3.4491961083120133], [0.055262846666151826, 0.055381634362292334, 0.05502121110133901, 0.05464828701265154, 0.05431642013754762, 0.05464828701265154, 0.05464828701265154, 0.05464828701265154, 0.05464828701265154, 0.35270749422161185 … 0.867428080631887, 0.39027192571383934, 0.3209277423758482, 0.2834389072333089, 0.40485280533597096, 0.2210513992260575, 0.21471349340652338, 0.05532099436783017, 0.32233715439606464, 0.2852180931150195]), BeforeIT.Workers(Base.RefValue{Bool}(false), Base.RefValue{Int64}(4130), Dict{Int64, Int64}(), [1, 2, 3, 4, 5, 6, 7, 8, 9, 10 … 4121, 4122, 4123, 4124, 4125, 4126, 4127, 4128, 4129, 4130], [3.114661627505004, 3.114661627505004, 3.114661627505004, 3.114661627505004, 3.114661627505004, 3.114661627505004, 3.114661627505004, 3.114661627505004, 3.114661627505004, 3.114661627505004 … 3.114661627505004, 3.114661627505004, 3.114661627505004, 3.114661627505004, 3.114661627505004, 3.114661627505004, 3.114661627505004, 3.114661627505004, 3.114661627505004, 3.114661627505004], [15.610206335062243, 15.519950360899289, 15.444939649442064, 15.451058627738853, 15.432994935612763, 15.45904390387079, 15.648332720129485, 15.445170112116044, 15.506982293455767, 15.615277057961249 … 15.51040471868553, 15.639365305552932, 15.44387785608972, 15.420700959345448, 15.430118361056506, 15.435910085405151, 15.43793865920565, 15.450873526222455, 15.418791879070826, 15.44944556826132], [28.739647710001275, 28.887734723664906, 28.88598316477141, 28.88661125674132, 28.883502572844193, 28.873622818652, 28.736510076024175, 28.871303214825186, 28.88285660323792, 28.881803608746345 … 28.886932136777137, 28.88794391699779, 28.884934953170234, 28.88685890207721, 28.886614207021513, 28.88722626567689, 28.886481073647097, 28.883420515727455, 28.887734723664906, 28.883563303507128], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 … 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [-1, -1, -1, -1, -1, -1, -1, -1, -1, -1 … -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], [2.457616514488579, 2.457616514488579, 2.457616514488579, 2.457616514488579, 2.457616514488579, 2.457616514488579, 2.457616514488579, 2.457616514488579, 2.457616514488579, 2.457616514488579 … 2.457616514488579, 2.457616514488579, 2.457616514488579, 2.457616514488579, 2.457616514488579, 2.457616514488579, 2.457616514488579, 2.457616514488579, 2.457616514488579, 2.457616514488579], [0.204045477400756, 0.204045477400756, 0.204045477400756, 0.204045477400756, 0.204045477400756, 0.204045477400756, 0.204045477400756, 0.204045477400756, 0.204045477400756, 0.204045477400756 … 0.204045477400756, 0.204045477400756, 0.204045477400756, 0.204045477400756, 0.204045477400756, 0.204045477400756, 0.204045477400756, 0.204045477400756, 0.204045477400756, 0.204045477400756], [2.456771028444793, 2.4561800712734962, 2.4381912864975295, 2.4563836943714876, 2.456771028444793, 2.456771028444793, 2.4145980183577955, 2.456771028444793, 2.456771028444793, 2.457616514488579 … 2.4422538789704675, 2.382211903141356, 2.4559534193727557, 2.456771028444793, 2.456798905416542, 2.456771028444793, 2.452407103995524, 2.4555382083277015, 2.4561800712734962, 2.456771028444793], [0.20315329310056812, 0.2031415536056329, 0.20315329310056812, 0.20404547740075601, 0.20315329310056812, 0.20315329310056812, 0.05496389972938723, 0.20315329310056812, 0.20315329310056812, 0.20404547740075601 … 0.20404547740075601, 0.20404547740075601, 0.20315329310056812, 0.20315329310056812, 0.20404547740075601, 0.20315329310056812, 0.20302897219550187, 0.20315329310056812, 0.2031415536056329, 0.20315329310056812]), BeforeIT.Firms(Base.RefValue{Bool}(false), Base.RefValue{Int64}(624), Dict{Int64, Int64}(), [1, 2, 3, 4, 5, 6, 7, 8, 9, 10 … 615, 616, 617, 618, 619, 620, 621, 622, 623, 624], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1 … 62, 62, 62, 62, 62, 62, 62, 62, 62, 62], [10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621, 10.822026659306621 … 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951, 11.988103388298951], [1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485, 1.6631751855300485 … 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877, 3.4759574544453877], [0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754, 0.042702129272078754 … 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946, 0.17805766706016946], [0.2827194481505805, 0.29078838451538036, 0.2827194481505805, 0.26902121931231415, 0.28401553148353703, 0.2835425909738396, 0.30471365191856065, 0.2833820863428653, 0.2827194481505805, 0.2845736335279446 … 2.7362639788539407, 2.728977577347134, 2.96095745731635, 2.732090412716615, 2.7310148100565796, 2.7305059261949083, 2.735498185294494, 2.7297357992306, 3.034934112317598, 2.730457206066282], [0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983, 0.2697101055708983 … 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687, 2.6020133813757687], [0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721, 0.011078553057541721 … 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782, 0.012425621091468782], [0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832, 0.009528627732528832 … 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318, 0.010357147774366318], [-0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635, -0.26105054841223635 … 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037, 0.013413693877270037], [1, 1, 1, 38, 3, 1, 1, 1, 1, 2 … 1, 6, 1, 10, 6, 2, 1, 5, 1, 2], [11.344022125213865, 11.667785464623329, 11.344022125213865, 410.186642594917, 34.188081090243216, 11.377050452272178, 12.226532103931497, 11.370610258302918, 11.344022125213865, 22.836841371267212 … 12.606628279073451, 75.43834841684654, 13.641845342046306, 125.87399652998626, 75.49466455231686, 25.16019908266593, 12.603100083396038, 62.88275690306957, 13.98267363863507, 25.159750151893135], [11.344022125213865, 11.667785464623329, 11.344022125213865, 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0.019222679584639746, 0.019216872233745796, 0.038487328012499766 … 12.305095506521424, 73.78646546208523, 12.386376790148395, 120.6896401941921, 72.90792536425768, 24.59857239485204, 12.30432289610024, 61.415389066285584, 12.509704354453216, 24.598474087211212], [2.253559048936257, 2.3846042495752955, 2.253559048936255, 84.05708865882782, 6.779371691352687, 2.266744877957692, 2.6080708941110595, 2.264320759146021, 2.253559048936257, 4.564358721848295 … 4.4003110989705245, 26.326618708864654, 4.787052277096925, 43.93127579911657, 26.347657551208258, 8.780800740867116, 4.398993019311918, 21.94537416071181, 4.91438048842202, 8.780633027232769], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2.9430698923550676, 3.027066390770425, 2.9430698923550676, 106.41798338740013, 8.86968581544365, 2.9516386939571126, 3.172026475778322, 2.949967863209195, 2.9430698923550676, 5.924743405328826 … 0.8797441234801088, 5.264408709101992, 0.9519859717773635, 8.784022681943458, 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1.0504059883166605, 1.0504059883166603, 1.0504059883166608, 1.0504059883166599, 1.0504059883166603 … 1.0504059883166605, 1.0504059883166603, 1.0504059883166605, 1.0504059883166605, 1.0504059883166603, 1.0504059883166603, 1.0504059883166603, 1.0504059883166603, 1.05040598831666, 1.05040598831666], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 … 0.0, 0.0, 0.0, 1.4785212394137375, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [6.8207018863130555, 7.015367693154252, 6.8207018863130555, 246.62864511425, 20.555910999446287, 6.840560484099787, 7.351319458289622, 6.836688255831054, 6.8207018863130555, 13.73086946579785 … 3.626807417608316, 21.70289751975208, 3.9246295505141484, 36.212755242158245, 21.719099137927316, 7.238350702621133, 3.625792389166899, 18.090772895579914, 4.0226826196484895, 7.238221549494639], [3.377431972149056, 3.33578983090049, 3.377431972149056, 116.80551785760518, 9.538713174285615, 3.3735616468562712, 3.2694884320180386, 3.374012231063952, 3.377431972149056, 6.741875080124517 … 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255.7486712867705, 408.56606241575867, 390.07368654572537, 239.96031632033512, 48.74088687197377 … 1012.7152698516029, 3378.55880635924, 3277.494633860716, 3263.7079099627385, 1008.9315016358715, 551.0557171143242, 263.7943087726587, 437.4645216466407, 139.07937631007366, 512.0111909152176], [537.5670562419003, 266.0829770206993, 3.535216787407997, 221.97578675977928, 1173.4304334396702, 261.9387129801492, 411.0108796706485, 392.90924759433454, 241.32084570693945, 49.32415135466766 … 1020.3290458662441, 3457.1136641883104, 3346.5691293051477, 3324.637992123634, 1023.5070676864793, 556.5991534328757, 265.9519084448823, 443.1715131430034, 139.95453824595978, 515.0576182443492], [536.9533548732244, 266.03292464815917, 3.5364154549521887, 224.70201509926042, 1175.2148663731666, 262.33704257232563, 414.19198033769317, 391.93325479722523, 241.8566849770609, 49.399158477020904 … 1021.1431503268003, 3428.5744185588974, 3321.6175560236898, 3303.9168306905576, 1018.6528376781646, 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418.73286714988313, 399.754129241202, 246.11603431922396, 49.914077815185074 … 1021.1619064072767, 3431.52418171035, 3324.302802665023, 3307.1848246375353, 1016.9317379542553, 556.5632064407677, 265.8705898654134, 442.03152722116465, 140.06521909895048, 515.4109848093055], [537.7384305691933, 267.8625316858459, 3.5916724031525122, 225.30286902002948, 1200.148008657202, 264.6092341683073, 427.131349035357, 409.33346625323276, 248.64833427707447, 48.61498796327999 … 1026.7252521503124, 3414.321490002115, 3311.281353343206, 3298.155741889415, 1016.5284811940342, 558.2137511820206, 266.5731195827576, 442.2121948431543, 141.0224742114907, 517.3392673577042], [547.6488320848326, 273.1151539189764, 3.60490219774817, 225.33107474875746, 1207.0390393852606, 268.7482453356032, 429.2999843509514, 412.9675336201021, 249.12098539193784, 50.28404832853695 … 1033.351728815525, 3405.752151218234, 3307.468214869232, 3296.3562282228413, 1019.6741502510663, 560.2310418898545, 267.6244152592468, 443.25574010512037, 142.10847107616445, 519.8865806783119], [545.659167057807, 273.17293894523965, 3.594511832410732, 224.681605759008, 1209.8214900263579, 267.97363556822125, 432.52443945721564, 417.30850635949076, 251.22438180880698, 50.13911523351282 … 1031.149975108336, 3341.526735022582, 3252.6575498395664, 3249.11626436496, 1008.0151455334743, 557.5282912188004, 266.5059930378669, 439.4579766410301, 141.94068029752643, 518.6575036445097], [550.8970783423576, 277.6359021551899, 3.5669438320289033, 225.33899344715488, 1215.1488772971677, 270.6922720677352, 431.69501143671675, 417.75857073388426, 250.4388697088222, 50.50200723411739 … 1039.3242590582859, 3437.5564981447965, 3338.642141070616, 3323.8345794716174, 1027.4375352491604, 563.7705308976264, 269.180281968934, 446.5811611868075, 143.04490022682265, 522.2445351841288], [551.5930469221346, 277.1885350891528, 3.5752311226061746, 224.06990372045976, 1204.159607878725, 270.33615060714834, 426.74869660275453, 412.6730809097343, 248.85601470233894, 50.67987942522424 … 1036.6762845047197, 3444.8065473566858, 3341.84569047911, 3325.106231792246, 1026.5721632839582, 562.2208519458601, 268.31844154869054, 445.82298071877995, 142.45389595459025, 520.5777847225957], [543.6548334838213, 274.30618625639215, 3.44491974653984, 224.54787985193508, 1192.8194363098587, 269.3272571342898, 424.5940679800613, 409.2863340843066, 249.23131558043812, 49.15841979887601 … 1032.807412603736, 3488.3814149209215, 3377.0605376123576, 3355.228672297168, 1030.288234603718, 562.8221544908465, 268.56058863831095, 447.83923299873845, 142.0657478872327, 520.0801917187135], [550.4610115968036, 275.9697093541399, 3.4948916152748746, 225.36150495066647, 1207.9584811491893, 271.5794080879562, 429.47903054108326, 414.1833530169777, 250.98238216030995, 50.10431065589805 … 1042.3532308688937, 3596.115908668155, 3472.510540064186, 3441.17924929009, 1052.1044310696207, 571.7711538169615, 272.3908425983909, 456.50424114821635, 143.592984915376, 526.4646695398483], [559.5249709573877, 281.09824958531476, 3.658221736377385, 225.38903084696372, 1227.7271903183444, 274.94080056194565, 429.1024697699211, 413.15830411082544, 251.65420318387987, 51.76119939119867 … 1063.7122849962907, 3648.256817053054, 3520.886489364273, 3487.283558952155, 1067.7007794144217, 578.3383524342537, 275.69824561745475, 462.319580098733, 145.52113767618155, 533.113673701104]]))Note that we can equivalently run nsims models for T steps in the single command `Bit.ensemblerun(model, T, nsims)`.
Note that this will use the number of threads specified when activating the Julia environment. To discover the number of threads available, you can use the command
Threads.nthreads()2To activate Julia with a specific number of threads, say 8, you can use the command julia -t 8 in the terminal. We can then plot the results of the monte-carlo repetitions using the function plot_data_vector
ps = Bit.plot_data_vector(models)
plot(ps..., layout = (3, 3))