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 t in 1:T
Bit.step!(model; multi_threading = true)
Bit.update_data!(model)
end
Note that we can equivalently run the model for a number of epochs 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
model = Bit.Model(parameters, initial_conditions)
model_vec = Bit.ensemblerun(model, T, 4)
4-element Vector{BeforeIT.Model}:
BeforeIT.Model{BeforeIT.Workers, BeforeIT.Workers, BeforeIT.Firms, BeforeIT.Bank, BeforeIT.CentralBank, BeforeIT.Government, BeforeIT.RestOfTheWorld, BeforeIT.Aggregates, BeforeIT.Properties, BeforeIT.Data}(BeforeIT.Workers([0.8124025471440233, 0.8088790684415305, 0.8088790684415305, 0.8065048027232572, 0.8065048027232572, 0.8162025335438771, 0.8162025335438771, 0.8162025335438771, 0.8162025335438771, 0.8162025335438771 … 4.940937475735016, 4.940937475735016, 3.413297934596483, 3.6043150327844824, 4.940937475735016, 4.940937475735016, 6.294014383919931, 5.459286999510377, 4.940937475735016, 3.3777594782295997], [4.124820272238369, 4.1296255672605975, 4.119773554655042, 4.1439449674297775, 4.105211143611366, 4.115801338401936, 4.111698108802924, 4.132489195867107, 4.118541882153517, 4.146997417103811 … 25.293710924834762, 25.14708632034028, 25.28935311369858, 24.772512201102384, 25.01352622811015, 25.09045129963365, 25.143180431892432, 25.428404702482442, 24.955682781508663, 24.9186491287231], [7.804954428108242, 7.802890357191111, 7.802815284548786, 7.764479488976262, 7.8018488174740055, 7.802649694159852, 7.802879985506432, 7.803180072859404, 7.802890876245169, 7.765811825698364 … 47.443626933867975, 47.44578673776813, 46.621171154887236, 46.92137434663359, 47.44948462008704, 47.4473400280559, 47.80004295964066, 47.679305282324414, 47.4485874402133, 46.830330446953404], [0.2814182422277955, 0.2763366116526782, 0.2763366116526782, 0.27291239874090606, 0.27291239874090606, 0.28689865766520545, 0.28689865766520545, 0.28689865766520545, 0.28689865766520545, 0.28689865766520545 … 11.337587012313522, 11.337587012313522, 4.032480938934095, 4.307969570619473, 11.337587012313522, 11.337587012313522, 8.18710709766995, 6.983246777611178, 11.337587012313522, 3.9812266752603405], [1, 2, 2, 3, 3, 4, 4, 4, 4, 4 … 0, 0, 197, 484, 0, 0, 170, 77, 0, 293], [0.6410243406995998, 0.6382441480227369, 0.6382441480227369, 0.6363707391787443, 0.6363707391787443, 0.6440227111320868, 0.6440227111320868, 0.6440227111320868, 0.6440227111320868, 0.6440227111320868 … 3.898635225794645, 3.898635225794645, 2.6932547981636565, 2.8439763953063166, 3.898635225794645, 3.898635225794645, 4.966277413813688, 4.307637712182895, 3.898635225794645, 2.6652132618068967], [0.05322153267299854, 0.052990705064756075, 0.052990705064756075, 0.05283516387283875, 0.05283516387283875, 0.05347047465508334, 0.05347047465508334, 0.05347047465508334, 0.05347047465508334, 0.05347047465508334 … 0.3236871501997588, 0.3236871501997588, 0.2236095248438459, 0.2361232999028398, 0.3236871501997588, 0.3236871501997588, 0.4123289536150759, 0.35764489222386514, 0.3236871501997588, 0.22128135499341003], [0.6408038111212082, 0.6367767448805997, 0.6380245749052467, 0.6363707391787442, 0.6362177178063274, 0.6438011500337893, 0.6438011500337893, 0.6438011500337893, 0.6438011500337893, 0.6438011500337893 … 3.8963565268661666, 3.8986352257946453, 2.6923282462257183, 2.843976395306317, 3.8986352257946453, 3.8963565268661666, 4.964568881087692, 4.307637712182894, 3.897293990637008, 2.664296356910104], [0.052988822708104164, 0.052759004388431806, 0.052759004388431806, 0.05283516387283875, 0.052832124069425376, 0.053236676196923134, 0.053236676196923134, 0.053236676196923134, 0.053236676196923134, 0.053236676196923134 … 0.3222532124278055, 0.32368715019975874, 0.22263179718244652, 0.2361232999028398, 0.32368715019975874, 0.3222532124278055, 0.41052605445938545, 0.3576448922238651, 0.3222718353529925, 0.22031380720276883]), BeforeIT.Workers([2.958085966065368, 2.958085966065368, 2.958085966065368, 2.958085966065368, 2.958085966065368, 2.958085966065368, 2.958085966065368, 2.958085966065368, 2.958085966065368, 2.958085966065368 … 2.958085966065368, 2.958085966065368, 2.958085966065368, 2.958085966065368, 2.958085966065368, 2.958085966065368, 2.958085966065368, 2.958085966065368, 2.958085966065368, 2.958085966065368], [15.193221276589309, 15.429274219393577, 15.381362271665058, 15.23843249729741, 15.18921380605754, 15.163788684667173, 15.283132776101466, 15.806235902481488, 15.205248267214833, 15.481129698552756 … 15.3176398492872, 15.165580271994056, 15.311113404057801, 15.260994684671692, 15.239845463714234, 15.401714707766086, 15.295553474054127, 15.192894259175217, 15.115490578014384, 15.231382703727066], [28.781034606819723, 28.655686456026732, 28.795826863370912, 28.795163843618433, 28.794545449157663, 28.79540479907327, 28.79307453709568, 28.79358754152624, 28.794022508039586, 28.78237009458966 … 28.768417747097647, 28.79710703679047, 28.792653587560196, 28.794890914048416, 28.79479193818649, 28.658098272649802, 28.793872438515887, 28.789160326596896, 28.797094679758494, 28.79343769820971], [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], [2.3340708529236442, 2.3340708529236442, 2.3340708529236442, 2.3340708529236442, 2.3340708529236442, 2.3340708529236442, 2.3340708529236442, 2.3340708529236442, 2.3340708529236442, 2.3340708529236442 … 2.3340708529236442, 2.3340708529236442, 2.3340708529236442, 2.3340708529236442, 2.3340708529236442, 2.3340708529236442, 2.3340708529236442, 2.3340708529236442, 2.3340708529236442, 2.3340708529236442], [0.1937880050301916, 0.1937880050301916, 0.1937880050301916, 0.1937880050301916, 0.1937880050301916, 0.1937880050301916, 0.1937880050301916, 0.1937880050301916, 0.1937880050301916, 0.1937880050301916 … 0.1937880050301916, 0.1937880050301916, 0.1937880050301916, 0.1937880050301916, 0.1937880050301916, 0.1937880050301916, 0.1937880050301916, 0.1937880050301916, 0.1937880050301916, 0.1937880050301916], [2.33326786990342, 2.33326786990342, 2.3288413499488065, 2.33326786990342, 2.33326786990342, 2.33326786990342, 2.33326786990342, 2.334070852923644, 2.33326786990342, 2.33326786990342 … 2.334070852923644, 2.334070852923644, 2.334070852923644, 2.33326786990342, 2.33326786990342, 2.3335096034769873, 2.334070852923644, 2.334070852923644, 2.33326786990342, 2.334070852923644], [0.19294067129922585, 0.19294067129922585, 0.19294067129922585, 0.19294067129922585, 0.19294067129922585, 0.19294067129922585, 0.19294067129922585, 0.19378800503019164, 0.19294067129922585, 0.19294067129922585 … 0.19378800503019164, 0.19378800503019164, 0.19378800503019164, 0.19294067129922585, 0.19294067129922585, 0.19377685568577813, 0.19378800503019164, 0.19378800503019164, 0.19294067129922585, 0.19378800503019164]), BeforeIT.Firms([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], [0.2814182422277955, 0.2763366116526782, 0.27291239874090606, 0.28689865766520545, 0.31596713729985637, 0.27846604772287287, 0.2860603898845475, 0.27096446250321865, 0.29087781379283817, 0.2728289738886134 … 2.5767911176306137, 2.559297864592517, 3.0304551835235145, 2.602366714780236, 2.6667514645978674, 2.6506800854999626, 3.0603812578963883, 2.5976892438148225, 2.5966317671976067, 2.701283432963015], [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, 2, 7, 1, 2, 1, 2, 1, 3 … 6, 1, 1, 10, 12, 2, 2, 3, 4, 2], [11.291811678164358, 22.17582594406445, 21.901035176844946, 80.58198044304214, 12.678074394305508, 22.34671174659793, 11.478076281010699, 21.744714612954613, 11.671373784099615, 32.84151058341833 … 71.23139000585742, 11.791302697285023, 13.962038133131285, 119.89731280535636, 147.436408270554, 24.424645270254008, 28.199829554970297, 35.90454313004966, 47.85323597382513, 24.890928930071574], [11.291811678164358, 22.17582594406445, 21.901035176844946, 80.58198044304214, 12.678074394305508, 22.34671174659793, 11.478076281010699, 21.744714612954613, 11.671373784099615, 32.84151058341833 … 71.23139000585742, 11.791302697285023, 13.962038133131285, 119.89731280535636, 147.436408270554, 24.424645270254008, 28.199829554970297, 35.90454313004966, 47.85323597382513, 24.890928930071574], [11.291811678164358, 22.17582594406445, 21.901035176844946, 80.58198044304214, 12.678074394305508, 22.34671174659793, 11.478076281010699, 21.744714612954613, 11.671373784099615, 32.84151058341833 … 71.2715705091797, 11.791302697285023, 13.962038133131285, 119.96444610120211, 147.74072495047835, 24.54782713942788, 28.212909275649725, 35.952331569863176, 47.85323597382513, 24.890928930071574], [1.0635115804549335, 1.0635115804549335, 1.0635115804549335, 1.0635115804549335, 1.0635115804549335, 1.0635115804549335, 1.0635115804549335, 1.0635115804549335, 1.0635115804549335, 1.0635115804549335 … 1.0635115804549333, 1.0635115804549333, 1.0635115804549333, 1.0635115804549333, 1.0635115804549333, 1.0635115804549333, 1.0635115804549333, 1.0635115804549333, 1.0635115804549333, 1.0635115804549333], [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], [298.1536585365853, 596.3073170731707, 596.3073170731707, 2087.0756097560975, 298.16375627877585, 596.3073170731706, 298.1536585365853, 596.3073170731707, 298.15365853658534, 894.460975609756 … 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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([0.7970715408471754, 0.7964550166793101, 0.7964550166793101, 0.7971723264266872, 0.7971723264266872, 5.139820486220276, 0.7972349634312652, 5.600228592726108, 0.7118862899948645, 2.091227062562063 … 13.98107678930867, 4.667592850109075, 5.120502759340118, 3.5084275828577858, 5.600228592726108, 5.238057414065861, 4.296181933609957, 0.7963433289395728, 4.057179077691023, 4.057179077691023], [4.215633856976074, 4.215376303270188, 4.213868487886383, 4.23327505867701, 4.226270863684701, 4.372451010106288, 4.214423775506948, 4.394833338161059, 4.198000411240461, 4.28735935770201 … 27.32701218347592, 25.61606288068101, 25.676546084437938, 25.821802841246903, 25.707647428982273, 25.664665070671806, 25.556835198218618, 25.077658949726157, 25.500056393350743, 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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([0.8825849758035951, 0.8825849758035951, 0.8825849758035951, 0.8825849758035951, 0.8825849758035951, 0.8572767167850068, 0.8572767167850068, 0.7875492282363166, 0.8572767167850068, 0.8572767167850068 … 3.3402662849869844, 8.44361199857833, 5.4964668138079835, 5.48574730611456, 8.24773024092889, 5.937780545886405, 5.4964668138079835, 6.8229804686330295, 14.587244568540282, 6.2399619542825375], [4.121280554298541, 4.121586960466037, 4.122145251335794, 4.14356053335495, 4.122328290988023, 4.1357775347529175, 4.12166573929275, 4.103940480303491, 4.120081792172646, 4.1437077679076975 … 24.650321212604943, 25.695022592659548, 25.136756140434592, 25.021596317153122, 25.959718838255395, 25.20567912721555, 25.012932391470898, 25.62523905555117, 25.34610087912912, 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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([0.8634529422283658, 0.8634231692550779, 0.8634231692550779, 0.8622864348194562, 0.8622864348194562, 0.8622200584632274, 0.8622200584632274, 0.8622200584632274, 6.780974617682306, 0.8622200584632274 … 4.614245011516939, 7.083476980761066, 4.426440278228011, 5.4889233481102355, 6.2684715993990245, 6.826635474685753, 3.4192464607731825, 8.493313433885291, 5.852467873372511, 6.04573562742003], [4.114014401486237, 4.110907733106132, 4.110553788980747, 4.134775843511475, 4.134437149669317, 4.110611753772318, 4.109589693140786, 4.110007575390122, 4.334136182177131, 4.109589693140786 … 24.856842786040055, 25.366641590354103, 24.803658156719152, 24.985487931550384, 25.143530065047276, 25.555628276009042, 24.625230168736167, 25.784828069674898, 24.976683726626785, 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239.9417470699531, 51.85929975454473 … 1021.6050265267692, 3360.029337967766, 3269.8989187934817, 3261.2380174169334, 1015.7074620211351, 555.4059841363289, 266.36671241214583, 439.8675529922343, 140.5896716656091, 517.9968450233221], [546.108358757481, 268.84808812285434, 3.7418168593660077, 225.35189037796715, 1207.4069036402436, 273.8101886280265, 403.01623755362516, 382.28735563352865, 239.02236999529865, 51.4794458818873 … 1026.7446057600341, 3451.730762328753, 3349.7971657369144, 3332.6716758312245, 1033.314579581804, 561.2273165395942, 268.9719737440199, 446.33459021051556, 141.10738628871263, 521.781043977943], [551.6716074768483, 266.3886324881279, 3.7974934127519324, 224.35578931754756, 1202.0552867370545, 278.35143810851287, 398.32235804528557, 378.4579798167628, 236.81586084365549, 52.434722062252156 … 1022.7198360030118, 3409.7455034580444, 3310.3521419445997, 3296.4008922959824, 1025.1822834377383, 557.1917572922919, 266.9373759348366, 442.323818982224, 140.31819470812377, 518.7665927999062], [552.3458143396269, 262.0745363309958, 3.737366363428185, 224.74898475162493, 1170.1841288063506, 277.555229655116, 400.27989603537367, 381.4167851017634, 239.25349988152047, 52.28473552278544 … 1019.6468228425176, 3460.259652786702, 3351.8449029728836, 3330.9113734183734, 1037.2668650741061, 558.2493446024815, 267.02395887667234, 444.38870977086793, 140.03502245558272, 517.4936406057416], [535.9997224272612, 258.75465813714254, 3.5074466138822142, 225.35463375314703, 1198.8233331752515, 277.5841484233084, 404.2873766633918, 385.89913861749744, 240.797201756114, 52.2901831237853 … 1021.7077670391614, 3511.5616603679678, 3394.5197191934176, 3369.2506768440535, 1033.8388854014866, 560.2656712307042, 268.083782982901, 447.5846569338227, 139.99468844533922, 518.7962086986701], [542.5258805060596, 260.27925072838, 3.8285491385251054, 225.3937106383394, 1180.020310174615, 280.6194695607262, 417.2910123247592, 392.3563709254102, 246.44476384767242, 51.56702093652621 … 1033.6511328652293, 3468.8751495879837, 3362.485612247733, 3348.681401970061, 1032.278154725105, 563.7915911496624, 270.34825372655246, 448.4285792915365, 141.88203934030588, 525.0060522205133], [536.639562524226, 263.9927866071496, 3.543803755422525, 225.39540743558888, 1171.3787431910725, 280.9008335735525, 411.8347217103312, 389.3328412904574, 242.16431459852126, 52.900946099076506 … 1032.94509264189, 3432.0297444627463, 3332.6932310781003, 3321.406214234801, 1028.0568799403618, 561.7141284978456, 269.61691470401576, 446.3260621271313, 142.00999350228176, 524.0327431626924], [527.5179352500586, 273.6243187083224, 3.4243826671800046, 225.16278932239422, 1173.9227153648096, 280.61093138502036, 407.78884879410055, 384.8862195220365, 241.62781419590954, 49.77067537382185 … 1028.3251771842913, 3425.729251182246, 3327.153593262181, 3315.3000524285994, 1025.121197655292, 559.8037955638981, 269.08113598130774, 445.4550008872825, 141.43732697254907, 522.6892838714048]]))
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(model_vec)
plot(ps..., layout = (3, 3))