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examples/paper_example04.jl

Lines changed: 13 additions & 17 deletions
Original file line numberDiff line numberDiff line change
@@ -10,31 +10,31 @@ width, height = 13, 13
1010
param, g0 = create_graph(param, width, height, type = "map")
1111

1212
# Set fundamentals
13-
param[:Zjn] = ones(param[:J], 1) .* 1e-3 # matrix of productivity (not 0 to avoid numerical glitches)
14-
param[:Lj] = ones(param[:J]) .* 1e-3 # matrix of population
13+
param[:Zjn] = ones(param[:J], 1) .* 1e-7 # matrix of productivity (not 0 to avoid numerical glitches)
14+
param[:Lj] = ones(param[:J]) .* 1e-7 # matrix of population
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1616
Ni = find_node(g0, ceil(width/2), ceil(height/2)) # center
1717
param[:Zjn][Ni] = 1 # more productive node
1818
param[:Lj][Ni] = 1 # more productive node
1919

20-
Random.seed!(5)
20+
Random.seed!(10) # use 5, 8, 10 or 11
2121
nb_cities = 20 # draw a number of random cities in space
2222
for i in 1:nb_cities-1
2323
newdraw = false
2424
while newdraw == false
25-
j = round(Int, 1 + rand() * (g0[:J] - 1))
26-
if param[:Lj][j] <= 1e-3
25+
j = round(Int, 1 + rand() * (param[:J] - 1))
26+
if param[:Lj][j] <= 1e-7
2727
newdraw = true
2828
param[:Lj][j] = 1
2929
end
3030
end
3131
end
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3333
param[:hj] = param[:Hj] ./ param[:Lj]
34-
param[:hj][param[:Lj] .== 1e-3] .= 1
34+
param[:hj][param[:Lj] .== 1e-7] .= 1 # catch errors in places with infinite housing per capita
3535

3636
# Draw geography
37-
z = zeros(g0[:J]) # altitude of each node
37+
z = zeros(param[:J]) # altitude of each node
3838
geographies = Dict()
3939
geographies[:blank] = (z = z, obstacles = nothing)
4040

@@ -63,10 +63,7 @@ geographies[:river] = (z = geographies[:mountain].z,
6363
11 + (5-1)*width 12 + (5-1)*width;
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12 + (5-1)*width 13 + (5-1)*width])
6565

66-
g = apply_geography(g0, geographies[:river],
67-
along_abstacle_delta_i = 1,
68-
along_abstacle_delta_tau = 1,
69-
alpha_up_i = 10, alpha_down_i = 10)
66+
g = apply_geography(g0, geographies[:river], alpha_up_i = 10, alpha_down_i = 10)
7067
results[:river] = optimal_network(param, g)
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7269
# Reinit and put another river and bridges
@@ -82,8 +79,7 @@ geographies[:bridges] = (z = mountain_height * exp.(-((g0[:x] .- mount_x).^2 .+
8279
12 + (5-1)*width 13 + (5-1)*width])
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8481
g = apply_geography(g0, geographies[:bridges], alpha_up_i = 10, alpha_down_i = 10,
85-
across_abstacle_delta_i = 2,
86-
along_abstacle_delta_tau = 1)
82+
across_obstacle_delta_i = 2)
8783
results[:bridges] = optimal_network(param, g)
8884

8985
# Allowing for water transport
@@ -117,12 +113,12 @@ plots = Vector{Any}(undef, length(simulation))
117113
i = 0
118114
for s in simulation
119115
i += 1
120-
plots[i] = plot_graph(g, results[Symbol(s)][:Ijk],
116+
plots[i] = plot_graph(g0, results[Symbol(s)][:Ijk],
121117
geography = geographies[Symbol(s)], obstacles = obstacles[i] == "on",
122118
mesh = true, mesh_transparency = 0.2,
123-
node_sizes = results[Symbol(s)][:cj] .* (param[:Lj] .> 1e-3),
124-
node_shades = param[:Zjn],
125-
edge_min_thickness = 1.5)
119+
node_sizes = results[Symbol(s)][:cj] .* (param[:Lj] .> 1e-7),
120+
node_shades = param[:Zjn], node_color = :seismic,
121+
edge_min_thickness = 1, edge_max_thickness = 4)
126122
title!(plots[i], "Geography $(s)")
127123
end
128124

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