Essential use of BeforeIT
We start by importing the BeforeIT library and other useful libraries.
import BeforeIT as Bit
using Plots, StatsPlots
We 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_conditions
Dict{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)
end
Note 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], [0.8763478309046734, 0.8714460913772433, 0.8830403796969928, 0.8652365854478986, 0.868630219100065, 0.8659264654127715, 0.8663208835059756, 0.8700226281409956, 0.8672453187097896, 0.8721603726435687 … 5.588571369780726, 10.992998625331769, 6.803656886091146, 5.893590467299001, 3.429770278944492, 6.307822950921231, 5.584474731569695, 6.63144244679517, 8.45948239077883, 4.400525626883994], [4.279077046317799, 4.28515133480972, 4.299769353285844, 4.272323318074047, 4.286456183494136, 4.324124694495842, 4.280409872625386, 4.28077439883946, 4.276343946956566, 4.2771015122528 … 26.085318868693122, 26.597808858572474, 26.19107655712835, 26.018413210937798, 25.757287517076488, 26.385021504118303, 26.196155034627708, 26.213079216646637, 26.327273758562104, 25.830781565744424], [7.8352792488827365, 7.8327720101085045, 7.846326814895433, 7.828282603264588, 7.826945032995739, 7.8242923825019925, 7.8264393595011335, 7.831943968151846, 7.829946998199762, 7.8326972391820275 … 47.95999007185807, 49.379234459967236, 48.446682349127656, 47.63938974085491, 46.879008529656815, 48.65634191604542, 47.81565462981291, 47.9245705125774, 48.30231438694646, 47.232032247272436], [0.3061706940942852, 0.29909860040801, 0.3158265176635282, 0.2901396976690818, 0.29503593807327144, 0.29113503732688356, 0.29170409280016846, 0.2970448671752715, 0.2930378422439483, 0.3001291455860101 … 7.104835974269618, 14.902193556824361, 8.857927618592154, 7.544909058871741, 3.990177702651704, 8.142552184476722, 7.09892545840784, 8.609461407359381, 11.24690668036095, 5.390756564229861], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10 … 78, 327, 494, 76, 211, 80, 67, 64, 540, 565], [0.6914802181554501, 0.6876125119796163, 0.6967609582174773, 0.682712915765373, 0.6853906545072116, 0.6832572639474401, 0.6835684786267205, 0.6864893316231124, 0.68429790207465, 0.6881761139518529 … 4.409649243912644, 8.674000002692807, 5.3684096450521, 4.65032385353173, 2.706252263167402, 4.97717303149624, 4.406416801058369, 5.232524242185332, 6.674934909143665, 3.472224513108184], [0.05741067021437587, 0.05708955097203627, 0.05784910766815815, 0.05668275827565245, 0.0569050795681372, 0.05672795319684024, 0.056753792031920304, 0.056996298070007466, 0.05681435296760031, 0.05713634445377398 … 0.36611447711209605, 0.7201654371580916, 0.4457162874881753, 0.38609666934121456, 0.22468864924590537, 0.41323357054717486, 0.36584610108944043, 0.4344342987253704, 0.5541915396994376, 0.2882840769676393], [0.6914802181554502, 0.6876125119796165, 0.6967609582174774, 0.6827129157653732, 0.6853906545072117, 0.6832572639474402, 0.6835684786267208, 0.6864893316231124, 0.6842979020746501, 0.6881761139518529 … 4.409649243912644, 8.674000002692805, 5.3684096450521, 4.65032385353173, 2.7062522631674013, 4.977173031496239, 4.406416801058369, 5.232524242185333, 6.674934909143667, 3.4722245131081846], [0.05741067021437588, 0.05708955097203629, 0.05784910766815817, 0.05668275827565247, 0.05690507956813722, 0.056727953196840264, 0.05675379203192032, 0.05699629807000748, 0.05681435296760033, 0.057136344453773996 … 0.3661144771120962, 0.7201654371580917, 0.44571628748817543, 0.38609666934121467, 0.2246886492459054, 0.413233570547175, 0.3658461010894405, 0.43443429872537054, 0.5541915396994378, 0.28828407696763936]), 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], [3.1826657128149747, 3.1826657128149747, 3.1826657128149747, 3.1826657128149747, 3.1826657128149747, 3.1826657128149747, 3.1826657128149747, 3.1826657128149747, 3.1826657128149747, 3.1826657128149747 … 3.1826657128149747, 3.1826657128149747, 3.1826657128149747, 3.1826657128149747, 3.1826657128149747, 3.1826657128149747, 3.1826657128149747, 3.1826657128149747, 3.1826657128149747, 3.1826657128149747], [15.873466228438177, 15.810414552294098, 15.787287033531614, 15.987044541325714, 15.863852372766267, 15.824275443525726, 16.038894908030397, 15.783829790629996, 15.896440630523546, 15.940029523315237 … 15.789712397701612, 15.801811658534636, 15.797531680544985, 15.94395008420765, 15.833818512722415, 15.814637685906227, 15.888765872552284, 16.008090868143217, 15.905866393840475, 15.892915701717817], [28.88845828251445, 28.89567848558588, 28.893665663241606, 28.878680084269966, 28.893268392820733, 28.89568600098316, 28.878337704753086, 28.892025858098798, 28.89247868723378, 28.894821398394953 … 28.895345237227648, 28.895577993095124, 28.89646572488237, 28.88989733954425, 28.889314344977574, 28.89464197921713, 28.891218701976438, 28.75400734649957, 28.876671955878443, 28.89499597137844], [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], [2.5112749798687655, 2.5112749798687655, 2.5112749798687655, 2.5112749798687655, 2.5112749798687655, 2.5112749798687655, 2.5112749798687655, 2.5112749798687655, 2.5112749798687655, 2.5112749798687655 … 2.5112749798687655, 2.5112749798687655, 2.5112749798687655, 2.5112749798687655, 2.5112749798687655, 2.5112749798687655, 2.5112749798687655, 2.5112749798687655, 2.5112749798687655, 2.5112749798687655], [0.20850051223655927, 0.20850051223655927, 0.20850051223655927, 0.20850051223655927, 0.20850051223655927, 0.20850051223655927, 0.20850051223655927, 0.20850051223655927, 0.20850051223655927, 0.20850051223655927 … 0.20850051223655927, 0.20850051223655927, 0.20850051223655927, 0.20850051223655927, 0.20850051223655927, 0.20850051223655927, 0.20850051223655927, 0.20850051223655927, 0.20850051223655927, 0.20850051223655927], [2.511274979868766, 2.511274979868766, 2.511274979868766, 2.511274979868766, 2.511274979868766, 2.511274979868766, 2.511274979868766, 2.511274979868766, 2.511274979868766, 2.511274979868766 … 2.511274979868766, 2.511274979868766, 2.511274979868766, 2.511274979868766, 2.5104110338726877, 2.511274979868766, 2.511274979868766, 2.511274979868766, 2.511274979868766, 2.511274979868766], [0.20850051223655933, 0.20850051223655933, 0.20850051223655933, 0.20850051223655933, 0.20850051223655933, 0.20850051223655933, 0.20850051223655933, 0.20850051223655933, 0.20850051223655933, 0.20850051223655933 … 0.20850051223655933, 0.20850051223655933, 0.20850051223655933, 0.20850051223655933, 0.20758884839588893, 0.20850051223655933, 0.20850051223655933, 0.20850051223655933, 0.20850051223655933, 0.20850051223655933]), 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], [0.3061706940942852, 0.29909860040801, 0.3158265176635282, 0.2901396976690818, 0.29503593807327144, 0.29113503732688356, 0.29170409280016846, 0.2970448671752715, 0.2930378422439483, 0.3001291455860101 … 2.762378327850663, 2.753781302255025, 2.753781302255025, 2.794382615477323, 3.04689709715406, 2.753781302255025, 2.947603414177918, 2.753781302255025, 2.61730506917375, 2.7537115528445826], [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, 1, 1, 1, 1, 1, 1, 1 … 1, 1, 1, 3, 1, 2, 1, 1, 16, 5], [12.284995427862386, 12.001230063387133, 12.672432079013152, 11.641757124567901, 11.838217112866655, 11.681694791304546, 11.704527949481836, 11.918824712839534, 11.758044194291678, 12.042580339700772 … 12.726943385033936, 12.687334814067299, 12.687334814067299, 38.62318457766177, 14.037789995867765, 25.374669628134598, 13.580320043621175, 12.687334814067299, 192.93689413009287, 63.43506730853112], [12.284995427862386, 12.001230063387133, 12.672432079013152, 11.641757124567901, 11.838217112866655, 11.681694791304546, 11.704527949481836, 11.918824712839534, 11.758044194291678, 12.042580339700772 … 12.726943385033936, 12.687334814067299, 12.687334814067299, 38.62318457766177, 14.037789995867765, 25.374669628134598, 13.580320043621175, 12.687334814067299, 203.06647362680206, 63.43506730853112], [12.284995427862386, 12.001230063387133, 12.672432079013152, 11.641757124567901, 11.838217112866655, 11.681694791304546, 11.704527949481836, 11.918824712839534, 11.758044194291678, 12.042580339700772 … 12.726943385033936, 12.687334814067299, 12.687334814067299, 38.62318457766177, 14.037789995867765, 25.374669628134598, 13.580320043621175, 12.687334814067299, 203.06647362680206, 63.43506730853112], [1.063104328267567, 1.063104328267567, 1.063104328267567, 1.063104328267567, 1.063104328267567, 1.063104328267567, 1.063104328267567, 1.063104328267567, 1.063104328267567, 1.063104328267567 … 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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], [0.8610716083772064, 0.8610716083772064, 0.8610716083772064, 0.8610716083772064, 0.8610716083772064, 0.8610716083772064, 0.8608254880511306, 0.7715220950920756, 0.8610716083772064, 0.8610716083772064 … 5.153738520779075, 3.5105140635793095, 5.153738520779075, 3.5183690377992507, 5.153738520779075, 10.524315118823784, 5.153738520779075, 6.155469401005828, 6.155469401005828, 4.6185604190939955], [4.256258761050617, 4.2358381729669246, 4.235050786504422, 4.239841282637931, 4.2334613403090415, 4.256344468299673, 4.250211422147385, 4.250609276284446, 4.275590554333726, 4.2334613403090415 … 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3.179310839142453, 3.179310839142453, 3.179310839142453, 3.179310839142453 … 3.179310839142453, 3.179310839142453, 3.179310839142453, 3.179310839142453, 3.179310839142453, 3.179310839142453, 3.179310839142453, 3.179310839142453, 3.179310839142453, 3.179310839142453], [15.654976411376436, 15.638244095748345, 15.681258057298265, 15.633057180220407, 15.647163798868998, 15.631091996751707, 15.633057180220407, 15.631091996751707, 15.6877434828853, 15.633057180220407 … 15.650718540409395, 15.631091996751707, 15.650015553365067, 15.634009514971789, 15.636960664895033, 15.673306562045395, 15.694785793020028, 15.674705330831733, 15.633057180220407, 15.645638904922164], [28.922627645235195, 28.923228334624913, 28.923484669072, 28.922627645235195, 28.91005021548857, 28.92349586136718, 28.922627645235195, 28.92349586136718, 28.92322553464918, 28.922627645235195 … 28.92349586136718, 28.92349586136718, 28.92178894318217, 28.922627645235195, 28.92349586136718, 28.92315397519237, 28.89322018977479, 28.909861657421143, 28.922627645235195, 28.91826901434345], [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], [2.508627824598735, 2.508627824598735, 2.508627824598735, 2.508627824598735, 2.508627824598735, 2.508627824598735, 2.508627824598735, 2.508627824598735, 2.508627824598735, 2.508627824598735 … 2.508627824598735, 2.508627824598735, 2.508627824598735, 2.508627824598735, 2.508627824598735, 2.508627824598735, 2.508627824598735, 2.508627824598735, 2.508627824598735, 2.508627824598735], [0.2082807301600461, 0.2082807301600461, 0.2082807301600461, 0.2082807301600461, 0.2082807301600461, 0.2082807301600461, 0.2082807301600461, 0.2082807301600461, 0.2082807301600461, 0.2082807301600461 … 0.2082807301600461, 0.2082807301600461, 0.2082807301600461, 0.2082807301600461, 0.2082807301600461, 0.2082807301600461, 0.2082807301600461, 0.2082807301600461, 0.2082807301600461, 0.2082807301600461], [2.5086278245987352, 2.5086278245987352, 2.5086278245987352, 2.5086278245987352, 2.5086278245987352, 2.5086278245987352, 2.5086278245987352, 2.5086278245987352, 2.5086278245987352, 2.5086278245987352 … 2.5086278245987352, 2.5086278245987352, 2.5086278245987352, 2.5086278245987352, 2.5086278245987352, 2.5086278245987352, 2.507748352210697, 2.5086278245987352, 2.5086278245987352, 2.5086278245987352], [0.20828073016004608, 0.20828073016004608, 0.20828073016004608, 0.20828073016004608, 0.20828073016004608, 0.20828073016004608, 0.20828073016004608, 0.20828073016004608, 0.20828073016004608, 0.20828073016004608 … 0.20828073016004608, 0.20828073016004608, 0.20828073016004608, 0.20828073016004608, 0.20828073016004608, 0.20828073016004608, 0.19430383541828125, 0.20828073016004608, 0.20828073016004608, 0.20828073016004608]), 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], [0.27445378291007116, 0.27445378291007116, 0.27445378291007116, 0.27445378291007116, 0.27445378291007116, 0.2741119960413931, 0.27445378291007116, 0.27413080155825975, 0.27445378291007116, 0.27445378291007116 … 2.6783731542063896, 2.6548121103320352, 2.648373063959905, 2.6504269382752543, 2.6734968559925982, 2.652960930591009, 2.6477777471096005, 2.6505518043034892, 2.6477777471096, 2.649632894711667], [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, 2, 1, 1, 1, 2, 2, 2, 1, 2 … 2, 2, 3, 2, 7, 3, 2, 2, 3, 5], [11.012365106281061, 22.024730212562122, 11.012365106281061, 11.012365106281061, 11.012365106281061, 21.997302047816085, 22.024730212562122, 21.998811177809138, 11.012365106281061, 22.024730212562122 … 24.679822567318006, 24.46271974077323, 36.60508089095687, 24.42231264958112, 86.22211500960788, 36.668493116158025, 24.39790172393674, 24.423463225413578, 36.5968525859051, 61.03748987264354], [11.012365106281061, 22.024730212562122, 11.012365106281061, 11.012365106281061, 11.012365106281061, 21.997302047816085, 22.024730212562122, 21.998811177809138, 11.012365106281061, 22.024730212562122 … 24.679822567318006, 24.46271974077323, 36.60508089095687, 24.42231264958112, 85.85057874865757, 36.668493116158025, 24.39790172393674, 24.423463225413578, 36.5968525859051, 61.03748987264354], [11.012365106281061, 22.024730212562122, 11.012365106281061, 11.012365106281061, 11.012365106281061, 21.997302047816085, 22.024730212562122, 21.998811177809138, 11.012365106281061, 22.024730212562122 … 24.679822567318006, 24.46271974077323, 36.60508089095687, 24.42231264958112, 85.85057874865757, 36.668493116158025, 24.39790172393674, 24.423463225413578, 36.5968525859051, 61.03748987264354], [1.1045001278507698, 1.1045001278507698, 1.1045001278507698, 1.1045001278507698, 1.1045001278507698, 1.1045001278507698, 1.1045001278507698, 1.1045001278507698, 1.1045001278507698, 1.1045001278507698 … 1.10450012785077, 1.10450012785077, 1.10450012785077, 1.10450012785077, 1.10450012785077, 1.10450012785077, 1.10450012785077, 1.10450012785077, 1.10450012785077, 1.10450012785077], [0.0, 0.0, 0.0, 0.0, 0.0, 1.7763568394002505e-15, 0.0, -1.7763568394002505e-15, 0.0, 0.0 … 0.0, 0.0, 0.0, 0.0, 0.37153626095030745, 0.0, 0.0, 0.0, 0.0, 0.0], [298.15365853658534, 596.3073170731707, 298.15365853658534, 298.15365853658534, 298.15365853658534, 596.3073170731707, 596.3073170731707, 596.3073170731707, 298.15365853658534, 596.3073170731707 … 158.41666666666669, 158.41666666666669, 237.625, 158.41666666666663, 554.4583333333333, 237.625, 158.41666666666669, 158.41666666666669, 237.625, 396.0416666666667], [7.65511425407356, 15.31022850814712, 7.65511425407356, 7.65511425407356, 7.65511425407356, 15.310228508147112, 15.31022850814712, 15.310228508147128, 7.65511425407356, 15.31022850814712 … 8.114973344694114, 8.114973344694125, 12.172460017041193, 8.114973344694125, 28.402406706429442, 12.172460017041175, 8.114973344694114, 8.11497334469412, 12.172460017041187, 20.287433361735328], [76.0761840556228, 152.1523681112456, 76.0761840556228, 76.0761840556228, 76.0761840556228, 152.77980253488215, 152.1523681112456, 152.74527536372392, 76.0761840556228, 152.1523681112456 … 22.000833944859266, 22.000833944859266, 33.0012509172889, 22.000833944859266, 77.00291880700745, 33.0012509172889, 22.000833944859266, 22.000833944859266, 33.0012509172889, 55.002084862148166], [0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726, 0.36061475737617726 … 0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956, 0.35565736393550956], [-0.000992494662315213, -0.0019849893246313144, -0.000992494662315213, -0.0009924946623156572, -0.000992494662314769, 0.030590648930342468, -0.0019849893246313144, 0.028798352109054903, -0.0009924946623156572, -0.0019849893246313144 … 25.089389806692285, 24.966456255635215, 37.38205160875874, 24.935749705154407, 86.94711315152645, 37.43024044484653, 24.91719911666939, 24.936624061952685, 37.37579867500408, 62.28821914502446], [2.0524429315101984, 4.104885863020395, 2.0524429315101984, 2.0524429315101975, 2.0524429315101984, 4.061741021070569, 4.104885863020395, 4.064115188338656, 2.0524429315101975, 4.104885863020395 … 9.081061522634334, 8.995376196913075, 13.4578732537624, 8.979398802809824, 31.720257882934398, 13.482947122806475, 8.969746462887823, 8.979853752745052, 13.454619694331736, 22.44112299076862], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0 … 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2.857025473873208, 5.714050947746416, 2.857025473873208, 2.857025473873208, 2.857025473873208, 5.7069350407977515, 5.714050947746416, 5.707326566395741, 2.857025473873208, 5.714050947746416 … 1.7222629549703474, 1.7071125966337939, 2.5544581858409616, 1.7042928180033579, 6.016945793479332, 2.5588833605381573, 1.7025893198189934, 1.7043731100770838, 2.55388397972849, 4.259455568827274], [261.68865209488456, 523.3773041897691, 261.68865209488456, 261.68865209488456, 261.68865209488456, 522.7824454043874, 523.3773041897691, 522.8151802787245, 261.68865209488456, 523.3773041897691 … 187.02277354557933, 186.89983999452227, 280.2821272170893, 186.86913344404138, 654.1243180853518, 280.33031605317706, 186.85058285555644, 186.87000780083974, 280.2758742833346, 467.12167849224204], [1.1045001278507705, 1.1045001278507705, 1.1045001278507705, 1.1045001278507705, 1.1045001278507702, 1.1045001278507696, 1.1045001278507705, 1.1045001278507693, 1.1045001278507705, 1.1045001278507705 … 1.1045001278507698, 1.10450012785077, 1.10450012785077, 1.1045001278507698, 1.1045001278507693, 1.10450012785077, 1.1045001278507705, 1.10450012785077, 1.1045001278507696, 1.10450012785077], [1.1045001278507698, 1.1045001278507702, 1.1045001278507698, 1.1045001278507702, 1.1045001278507702, 1.10450012785077, 1.1045001278507702, 1.1045001278507698, 1.1045001278507702, 1.1045001278507702 … 1.1045001278507698, 1.1045001278507702, 1.10450012785077, 1.1045001278507698, 1.1045001278507702, 1.1045001278507702, 1.1045001278507702, 1.1045001278507702, 1.10450012785077, 1.1045001278507698], [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, 0.37153626095030745, 0.0, 0.0, 0.0, 0.0, 0.0], [6.621289929101157, 13.242579858202314, 6.621289929101157, 6.621289929101157, 6.621289929101157, 13.22608841160988, 13.242579858202314, 13.226995790463407, 6.621289929101157, 13.242579858202314 … 7.100150934170693, 7.037692509581197, 10.53093467647102, 7.026067772592419, 24.805284914905613, 10.549177772375447, 7.019044980753247, 7.026398782349451, 10.528567471129872, 17.559907068075], [3.40382907469857, 6.80765814939714, 3.40382907469857, 3.40382907469857, 3.40382907469857, 6.368401991434049, 6.80765814939714, 6.392574933695557, 3.40382907469857, 6.80765814939714 … 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [3.40382907469857, 6.80765814939714, 3.40382907469857, 3.40382907469857, 3.40382907469857, 6.368401991434049, 6.80765814939714, 6.392574933695557, 3.40382907469857, 6.80765814939714 … 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [329.3107539728332, 658.6215079456664, 329.3107539728332, 329.3107539728332, 329.3107539728332, 658.6215079456664, 658.6215079456664, 658.6215079456664, 329.3107539728332, 658.6215079456664 … 174.9712285870261, 174.9712285870261, 262.4568428805391, 174.97122858702605, 612.3993000545912, 262.4568428805391, 174.9712285870261, 174.9712285870261, 262.4568428805391, 437.4280714675652], [72.67235498092424, 145.34470996184848, 72.67235498092424, 72.67235498092424, 72.67235498092424, 146.4114005434481, 145.34470996184848, 146.35270043002836, 72.67235498092424, 145.34470996184848 … 22.000833944859266, 22.000833944859266, 33.0012509172889, 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137.74817000672894, 509.51781489546374], [520.3515563963998, 261.6624072003223, 3.44317574011519, 203.10501133405208, 1164.741235064381, 248.7596678016697, 414.52749520895287, 396.2245347686728, 242.50665559126142, 47.67830372336587 … 1020.4917847240407, 3615.150246318267, 3471.8931976629133, 3431.5373450973416, 1038.3775857380185, 559.5940729699264, 266.4206214757892, 449.8677994613165, 139.01264275495978, 513.3539089311582], [514.4159033166698, 261.06371085749436, 3.1508872735378906, 202.6402971674403, 1162.5580597773253, 248.19049355555057, 416.8073309193878, 396.6479045854206, 244.44482125984212, 47.695468958546535 … 1019.2763758553439, 3562.448577928608, 3427.3325211173174, 3393.3803722301336, 1027.828653622242, 557.3270824118754, 265.70405779367167, 446.9458176229474, 139.1191491701502, 512.6947282890666], [507.72146460714976, 262.2153543803874, 3.025076438997594, 203.5342145370489, 1167.6865108176173, 249.28534880528264, 421.59240273587136, 400.3439042883245, 247.297120728965, 47.54457233198155 … 1022.8795520427113, 3484.035919527687, 3363.7681420931394, 3341.7312992807883, 1020.7148718238275, 555.8831978541624, 266.0397600595465, 444.31274222584716, 140.1546381909035, 514.8848184434374], [508.6029977761193, 261.67278055365983, 3.4632830995389923, 204.36311944643245, 1172.441981948794, 250.30057786606773, 423.6656951943663, 402.95818838465294, 246.56822217187164, 48.099376552468094 … 1026.3397810947308, 3518.8294040645, 3396.18213141093, 3369.724635767354, 1024.5826530652475, 558.1360836985026, 267.2419553521796, 447.2278625789269, 140.8777072114771, 516.3777510989466], [514.1519192379251, 264.3706188117155, 3.477672968963685, 205.2122439677424, 1168.0795986785552, 251.34057157403151, 425.42601736796513, 402.6280994437051, 247.3752669417638, 48.29922846410976 … 1028.7544392208615, 3460.926941402084, 3349.745322935805, 3332.336905681289, 1020.0143807715087, 558.252204399196, 267.47511280560826, 445.1484198128325, 141.49135017962192, 518.3400706225108], [510.00811021737445, 263.19993796043906, 3.4688390985587385, 204.69097058036596, 1161.7042471106822, 250.70212452722598, 422.1676776870076, 400.7569402295368, 245.79307049740416, 48.176540353778904 … 1024.0599573444117, 3475.4417259999764, 3361.212081454188, 3339.4334599347458, 1019.7260549790518, 556.7432758439805, 266.7099160143385, 444.87490791194375, 140.8148430915999, 516.0369349155719]]))
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()
2
To 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))