Contents

Second-level signatures

Some signature types are furhter subdivided to get a more fine-grain classification. This notebook generates second-level signatures for cluster 9 (city centres) and cluster 2 (residential neighbourhoods).

The method mirrors top-level clustering.

import dask.dataframe
import pandas as pd
import numpy as np

from clustergram import Clustergram

import geopandas as gpd
import matplotlib.pyplot as plt
import contextily as ctx
import urbangrammar_graphics as ugg
import dask_geopandas
from utils.dask_geopandas import dask_dissolve

standardized_form = dask.dataframe.read_parquet("../../urbangrammar_samba/spatial_signatures/clustering_data/form/standardized/").set_index('hindex')
stand_fn = dask.dataframe.read_parquet("../../urbangrammar_samba/spatial_signatures/clustering_data/function/standardized/")
data = dask.dataframe.multi.concat([standardized_form, stand_fn], axis=1).replace([np.inf, -np.inf], np.nan).fillna(0)
data = data.drop(columns=["keep_q1", "keep_q2", "keep_q3"])
%time data = data.compute()

CPU times: user 2min 41s, sys: 1min 29s, total: 4min 11s
Wall time: 2min 46s

labels = pd.read_parquet("../../urbangrammar_samba/spatial_signatures/clustering_data/KMeans10GB.pq")

Sub-cluster cluster 9 - city centres

data9 = data.loc[labels.kmeans10gb == 9]

cgram = Clustergram(range(1, 25), method='kmeans', n_init=1000, random_state=42)
cgram.fit(data9)

K=1 fitted in 138.56104564666748 seconds.
K=2 fitted in 250.19275641441345 seconds.
K=3 fitted in 496.8422074317932 seconds.
K=4 fitted in 516.2055711746216 seconds.
K=5 fitted in 524.4590675830841 seconds.
K=6 fitted in 557.9513728618622 seconds.
K=7 fitted in 614.9245867729187 seconds.
K=8 fitted in 675.608170747757 seconds.
K=9 fitted in 727.5412681102753 seconds.
K=10 fitted in 805.7417376041412 seconds.
K=11 fitted in 864.23623919487 seconds.
K=12 fitted in 940.5778124332428 seconds.
K=13 fitted in 1001.939873456955 seconds.
K=14 fitted in 1127.1891009807587 seconds.
K=15 fitted in 1266.9384486675262 seconds.
K=16 fitted in 1347.8543231487274 seconds.
K=17 fitted in 1421.443199634552 seconds.
K=18 fitted in 1487.2952530384064 seconds.
K=19 fitted in 1551.0777575969696 seconds.
K=20 fitted in 1595.5207443237305 seconds.
K=21 fitted in 1636.6767675876617 seconds.
K=22 fitted in 1664.2299811840057 seconds.
K=23 fitted in 1723.266358613968 seconds.
K=24 fitted in 1786.8603992462158 seconds.

import urbangrammar_graphics as ugg
from bokeh.io import output_notebook
from bokeh.plotting import show

output_notebook()
Loading BokehJS ... 
fig = cgram.bokeh(
    figsize=(800, 600),
    line_style=dict(color=ugg.HEX[1]),
    cluster_style={"color": ugg.HEX[2]},
    size=.2
)
show(fig)

from bokeh.plotting import figure, output_file, save

output_file(filename="../../urbangrammar_samba/spatial_signatures/clustering_data/clustergram_cl9.html", title="clustergram_cl9")
save(fig)

'/home/jovyan/work/urbangrammar_samba/spatial_signatures/clustering_data/clustergram_cl9.html'

cgram.plot(
    figsize=(12, 8),
    line_style=dict(color=ugg.HEX[1]),
    cluster_style={"color": ugg.HEX[2]},
    size=.2
)

<AxesSubplot:xlabel='Number of clusters (k)', ylabel='PCA weighted mean of the clusters'>
../_images/level2_ss_11_1.png 
cgram.silhouette_score().plot()

<AxesSubplot:>
../_images/level2_ss_12_1.png 
cgram.calinski_harabasz_score().plot()

<AxesSubplot:>
../_images/level2_ss_13_1.png 
cgram.davies_bouldin_score().plot()

<AxesSubplot:>
../_images/level2_ss_14_1.png 
labels = cgram.labels.copy()
labels.columns = labels.columns.astype("str")  # parquet require str column names
labels.to_parquet("../../urbangrammar_samba/spatial_signatures/clustering_data/clustergram_cl9_labels.pq")

labels = cgram.labels.copy()

labels.index = data9.index
labels
1 2 3 4 5 6 7 8 9 10 ... 15 16 17 18 19 20 21 22 23 24
hindex
c000e107423t0006 0 0 0 0 0 0 0 0 0 0 ... 14 4 10 2 11 6 6 18 22 13
c000e107423t0007 0 0 0 0 0 0 0 0 0 0 ... 14 4 10 2 11 6 6 18 22 13
c000e107423t0011 0 0 0 0 0 0 0 0 0 0 ... 14 4 10 2 11 6 6 18 22 13
c000e107423t0012 0 0 0 0 0 0 0 0 0 0 ... 14 4 10 2 11 6 6 18 22 13
c000e107423t0014 0 0 0 0 0 0 0 0 0 0 ... 14 4 10 2 11 6 6 18 22 13
... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...
c102e622606t0000 0 0 0 0 0 0 0 0 0 0 ... 14 4 10 2 11 6 6 18 22 13
c102e622610t0001 0 0 0 0 0 0 0 0 0 0 ... 14 4 10 2 11 6 6 18 22 13
c102e622621t0000 0 0 0 0 0 0 0 0 0 0 ... 14 4 10 2 11 6 6 18 22 13
c102e622622t0000 0 0 0 0 0 0 0 0 0 0 ... 14 4 10 2 11 6 6 18 22 13
c102e622628t0001 0 0 0 0 0 0 0 0 0 0 ... 14 4 10 2 11 6 6 18 22 13

113644 rows × 24 columns

labels[9].value_counts()

0    86380
2    21760
4     3739
1     1390
5      264
7       98
8        8
3        3
6        2
Name: 9, dtype: int64

centres = []
for i in range(103):
    geom = gpd.read_parquet(f"../../urbangrammar_samba/spatial_signatures/tessellation/tess_{i}.pq", columns=["tessellation", "hindex"]).set_index("hindex")
    geom = geom.merge(labels, how="left", left_index=True, right_index=True)
    geom = geom[~geom[2].isna()]
    centres.append(geom)
    print(f"Chunk {i} done.")

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centres = pd.concat(centres)
ddf = dask_geopandas.from_geopandas(centres.reset_index().rename_geometry("geometry"), npartitions=64)
ddf.geometry = ddf.simplify(2).buffer(.001).simplify(2)
%time spsig = ddf.compute()

CPU times: user 28 s, sys: 0 ns, total: 28 s
Wall time: 1.97 s

spsig.columns = spsig.columns.astype("str")  # parquet require str column names

spsig.to_parquet(f"../../urbangrammar_samba/spatial_signatures/signatures/sub_signatures_cluster9_all_GB_simplified.pq")

Dissolve signatures

cl_labels = labels[9]

cl_labels.name = 'subclustering_cluster9_k9'

cl_labels = pd.DataFrame(cl_labels)

import geopandas as gpd
import matplotlib.pyplot as plt
import contextily as ctx
import urbangrammar_graphics as ugg
import dask_geopandas
from utils.dask_geopandas import dask_dissolve
import warnings 

warnings.filterwarnings('ignore', message='.*initial implementation of Parquet.*')

centres
tessellation 1 2 3 4 5 6 7 8 9 ... 15 16 17 18 19 20 21 22 23 24
hindex
c000e108672t0004 POLYGON ((353974.785 429026.424, 353976.600 42... 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 ... 14.0 4.0 10.0 2.0 11.0 6.0 6.0 18.0 22.0 13.0
c000e108672t0001 POLYGON ((354010.365 429050.372, 354009.350 42... 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 ... 14.0 4.0 10.0 2.0 11.0 6.0 6.0 18.0 22.0 13.0
c000e108639t0012 POLYGON ((353959.502 429043.658, 353955.858 42... 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 ... 14.0 4.0 10.0 2.0 11.0 6.0 6.0 18.0 22.0 13.0
c000e108639t0001 POLYGON ((353977.093 429056.686, 353975.961 42... 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 ... 14.0 4.0 10.0 2.0 11.0 6.0 6.0 18.0 22.0 13.0
c000e108639t0002 POLYGON ((353956.738 429081.451, 353954.996 42... 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 ... 14.0 4.0 10.0 2.0 11.0 6.0 6.0 18.0 22.0 13.0
... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...
c102e176044t0000 POLYGON ((389299.110 390268.240, 389296.750 39... 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 ... 14.0 4.0 10.0 2.0 11.0 6.0 6.0 18.0 22.0 13.0
c102e176046t0000 POLYGON ((389324.250 390317.000, 389329.880 39... 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 ... 14.0 4.0 10.0 2.0 11.0 6.0 6.0 18.0 22.0 13.0
c102e176047t0000 POLYGON ((389335.500 390318.500, 389335.260 39... 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 ... 14.0 4.0 10.0 2.0 11.0 6.0 6.0 18.0 22.0 13.0
c102e176008t0000 POLYGON ((389628.340 390455.480, 389631.670 39... 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 ... 14.0 4.0 10.0 2.0 11.0 6.0 6.0 18.0 22.0 13.0
c102e176032t0000 POLYGON ((389513.950 390446.240, 389511.600 39... 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 ... 14.0 4.0 10.0 2.0 11.0 6.0 6.0 18.0 22.0 13.0

113644 rows × 25 columns

centres = centres.sort_values(9).rename_geometry("geometry")[[9, "geometry"]]

centres.columns = ["clusters", "geometry"]

ddf = dask_geopandas.from_geopandas(centres, npartitions=64)
spsig = dask_dissolve(ddf, by="clusters").compute().reset_index(drop=True).explode()

spsig
clusters geometry
0 0 0.0 POLYGON Z ((90227.273 17620.071 0.000, 90187.3...
1 0.0 POLYGON Z ((151996.490 40926.350 0.000, 151998...
2 0.0 POLYGON Z ((180573.320 62127.626 0.000, 180573...
3 0.0 POLYGON Z ((180593.580 61881.970 0.000, 180582...
4 0.0 POLYGON Z ((180757.583 61748.508 0.000, 180759...
... ... ... ...
8 3 8.0 POLYGON ((323321.005 463795.416, 323319.842 46...
4 8.0 POLYGON ((325929.840 1008792.061, 325927.377 1...
5 8.0 POLYGON ((337804.770 1013422.583, 337800.122 1...
6 8.0 POLYGON ((422304.270 1147826.990, 422296.000 1...
7 8.0 POLYGON ((525396.260 439215.480, 525360.920 43...

2081 rows × 2 columns

spsig.to_parquet(f"../../urbangrammar_samba/spatial_signatures/signatures/sub_signatures_cluster9_k9_GB.pq")

spsig.geometry = spsig.simplify(2).buffer(.001).simplify(2)

spsig.to_file(f"../../urbangrammar_samba/spatial_signatures/signatures/sub_signatures_cluster9_k9_GB_simplified.geojson", driver="GeoJSON")
spsig.to_parquet(f"../../urbangrammar_samba/spatial_signatures/signatures/sub_signatures_cluster9_k9_GB_GB_simplified.pq")

Sub-cluster cluster 2 - neighbourhoods

labels = pd.read_parquet("../../urbangrammar_samba/spatial_signatures/clustering_data/KMeans10GB.pq")
data2 = data.loc[labels.kmeans10gb == 2]

cgram2 = Clustergram(range(1, 25), method='kmeans', n_init=100, random_state=42)
cgram2.fit(data2)

K=1 fitted in 74.71555924415588 seconds.
K=2 fitted in 214.04965329170227 seconds.
K=3 fitted in 448.26729440689087 seconds.
K=4 fitted in 566.3618776798248 seconds.
K=5 fitted in 620.1726832389832 seconds.
K=6 fitted in 743.0392332077026 seconds.
K=7 fitted in 914.3954825401306 seconds.
K=8 fitted in 1232.1980152130127 seconds.
K=9 fitted in 1477.7050552368164 seconds.
K=10 fitted in 1512.5710220336914 seconds.
K=11 fitted in 1557.0559606552124 seconds.
K=12 fitted in 1562.9378054141998 seconds.
K=13 fitted in 1698.0964839458466 seconds.
K=14 fitted in 1756.1707797050476 seconds.
K=15 fitted in 1831.6864550113678 seconds.
K=16 fitted in 2088.715784549713 seconds.
K=17 fitted in 2229.236268043518 seconds.
K=18 fitted in 2437.7369673252106 seconds.
K=19 fitted in 2663.076995372772 seconds.
K=20 fitted in 2612.7708687782288 seconds.
K=21 fitted in 2755.6792554855347 seconds.
K=22 fitted in 2960.3728127479553 seconds.
K=23 fitted in 3114.0820450782776 seconds.
K=24 fitted in 3199.2140488624573 seconds.

show(cgram2.bokeh(
    figsize=(800, 600),
    line_style=dict(color=ugg.HEX[1]),
    cluster_style={"color": ugg.HEX[2]},
))

cgram2.plot(
    figsize=(12, 8),
    line_style=dict(color=ugg.HEX[1]),
    cluster_style={"color": ugg.HEX[2]},
)

<AxesSubplot:xlabel='Number of clusters (k)', ylabel='PCA weighted mean of the clusters'>
../_images/level2_ss_40_1.png 
labels = cgram2.labels.copy()
labels.columns = labels.columns.astype("str")  # parquet require str column names
labels.to_parquet("../../urbangrammar_samba/spatial_signatures/clustering_data/clustergram_cl2_labels.pq")

geom51 = gpd.read_parquet("../../urbangrammar_samba/spatial_signatures/tessellation/tess_51.pq", columns=["tessellation", "hindex"])
geom68 = gpd.read_parquet("../../urbangrammar_samba/spatial_signatures/tessellation/tess_68.pq", columns=["tessellation", "hindex"])

labels = cgram2.labels.copy()
labels.index = data2.index

geom51 = geom51.set_index("hindex")
geom51["cluster"] = labels[3].loc[labels.index.str.startswith("c051")]

geom68 = geom68.set_index("hindex")
geom68["cluster"] = labels[3].loc[labels.index.str.startswith("c068")]

geom51 = geom51[~geom51.cluster.isna()]
geom68 = geom68[~geom68.cluster.isna()]

cmap = ugg.get_colormap(3, randomize=True)

for i, geom in enumerate([geom51, geom68]):
    ddf = dask_geopandas.from_geopandas(geom.sort_values('cluster'), npartitions=64)
    spsig = dask_dissolve(ddf, by='cluster').compute().reset_index(drop=True).explode()
    
    token = ""

    ax = spsig.plot("cluster", figsize=(20, 20), zorder=1, linewidth=.3, edgecolor='w', alpha=1, legend=True, cmap=cmap, categorical=True)
    ctx.add_basemap(ax, crs=27700, source=ugg.get_tiles('roads', token), zorder=2, alpha=.3)
    ctx.add_basemap(ax, crs=27700, source=ugg.get_tiles('labels', token), zorder=3, alpha=1)
    ctx.add_basemap(ax, crs=27700, source=ugg.get_tiles('background', token), zorder=-1, alpha=1)
    ax.set_axis_off()

    plt.savefig(f"../../urbangrammar_samba/spatial_signatures/clustering_data/validation/maps/sub_cl2_3_{i}.png")
    plt.close()   

geom15 = gpd.read_parquet("../../urbangrammar_samba/spatial_signatures/tessellation/tess_15.pq", columns=["tessellation", "hindex"])
geom15 = geom15.set_index("hindex")
geom15["cluster"] = labels[3].loc[labels.index.str.startswith("c015")]
geom = geom15[~geom15.cluster.isna()]

ddf = dask_geopandas.from_geopandas(geom.sort_values('cluster'), npartitions=64)
spsig = dask_dissolve(ddf, by='cluster').compute().reset_index(drop=True).explode()

ax = spsig.plot("cluster", figsize=(20, 20), zorder=1, linewidth=.3, edgecolor='w', alpha=1, legend=True, cmap=cmap, categorical=True)
ctx.add_basemap(ax, crs=27700, source=ugg.get_tiles('roads', token), zorder=2, alpha=.3)
ctx.add_basemap(ax, crs=27700, source=ugg.get_tiles('labels', token), zorder=3, alpha=1)
ctx.add_basemap(ax, crs=27700, source=ugg.get_tiles('background', token), zorder=-1, alpha=1)
ax.set_axis_off()

plt.savefig(f"../../urbangrammar_samba/spatial_signatures/clustering_data/validation/maps/sub_cl2_3_london.png")
plt.close()

Subclustering cluster 2

from sklearn.cluster import KMeans

km = KMeans(n_clusters=3, random_state=42, n_init=1000, verbose=1)
%time km.fit(data2)

Initialization complete
Iteration 0, inertia 233713524.89887017
Iteration 1, inertia 167985849.8511986
Iteration 2, inertia 165239464.57162914
Iteration 3, inertia 164678051.8222587
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Iteration 95, inertia 163896584.25087705
Iteration 96, inertia 163896527.64729416
Iteration 97, inertia 163896480.7126702
Converged at iteration 97: center shift 4.713684055384607e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 235061290.17827964
Iteration 1, inertia 176715965.97341025
Iteration 2, inertia 175621144.23653242
Iteration 3, inertia 174580605.07572538
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Iteration 17, inertia 166166029.20156798
Iteration 18, inertia 166165815.88381535
Iteration 19, inertia 166165724.11833966
Iteration 20, inertia 166165691.08223915
Converged at iteration 20: center shift 2.3268477297173984e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 229963585.99452052
Iteration 1, inertia 166089584.5177191
Iteration 2, inertia 164662381.67654526
Iteration 3, inertia 164570493.5308822
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Iteration 5, inertia 164556835.19229558
Iteration 6, inertia 164556341.9231462
Iteration 7, inertia 164556185.05267867
Iteration 8, inertia 164556130.18721256
Converged at iteration 8: center shift 4.8475833462107e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 263600677.1124302
Iteration 1, inertia 165968607.62872887
Iteration 2, inertia 164535227.2192553
Iteration 3, inertia 164234758.90581456
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Iteration 44, inertia 163896465.67425764
Converged at iteration 44: center shift 4.284678447211436e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 248505495.2631713
Iteration 1, inertia 169973990.7505724
Iteration 2, inertia 166546491.3851747
Iteration 3, inertia 165644003.64073208
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Iteration 15, inertia 164766083.7879861
Iteration 16, inertia 164765965.62867722
Iteration 17, inertia 164765912.97683412
Iteration 18, inertia 164765889.6997901
Converged at iteration 18: center shift 3.938897709778969e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 217976732.60963783
Iteration 1, inertia 168666465.41446292
Iteration 2, inertia 166140706.98213285
Iteration 3, inertia 165455995.2209127
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Iteration 54, inertia 163896616.5344991
Iteration 55, inertia 163896552.77884507
Iteration 56, inertia 163896503.22168252
Iteration 57, inertia 163896461.20504484
Converged at iteration 57: center shift 4.107133567486025e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 229587038.28064156
Iteration 1, inertia 171896462.39212823
Iteration 2, inertia 166874749.14748013
Iteration 3, inertia 164813693.97592348
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Iteration 12, inertia 163931203.60616574
Iteration 13, inertia 163931031.01115513
Iteration 14, inertia 163930966.36400914
Iteration 15, inertia 163930941.34292835
Converged at iteration 15: center shift 3.254911983319574e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 242968001.67280006
Iteration 1, inertia 173759413.8465552
Iteration 2, inertia 170880824.5728524
Iteration 3, inertia 168887711.9285946
Iteration 4, inertia 167592269.01263675
Iteration 5, inertia 166850337.2565232
Iteration 6, inertia 166478460.68245602
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Iteration 12, inertia 166167497.4470445
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Iteration 14, inertia 166166001.06644794
Iteration 15, inertia 166165801.88439104
Iteration 16, inertia 166165718.6186946
Iteration 17, inertia 166165689.0521125
Converged at iteration 17: center shift 2.1558616454437253e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 263407946.0701742
Iteration 1, inertia 171957649.62904352
Iteration 2, inertia 167361412.69475755
Iteration 3, inertia 166036461.44251764
Iteration 4, inertia 165535972.9414688
Iteration 5, inertia 165288793.95716807
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Iteration 12, inertia 164810903.33620587
Iteration 13, inertia 164799434.76896513
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Iteration 15, inertia 164784027.09699383
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Iteration 30, inertia 164765899.7890489
Converged at iteration 30: center shift 3.861839768340905e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 245278093.37542444
Iteration 1, inertia 166581733.37508604
Iteration 2, inertia 165721574.24753827
Iteration 3, inertia 165447384.38615525
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Iteration 29, inertia 164781607.1141015
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Iteration 40, inertia 164766064.2052929
Iteration 41, inertia 164765985.67664987
Iteration 42, inertia 164765942.75190702
Iteration 43, inertia 164765915.07022762
Iteration 44, inertia 164765896.78619626
Converged at iteration 44: center shift 3.505335164305572e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 227686202.86263454
Iteration 1, inertia 170938319.57765716
Iteration 2, inertia 166118282.04366302
Iteration 3, inertia 164616734.7370921
Iteration 4, inertia 164190464.34620798
Iteration 5, inertia 164036086.41710636
Iteration 6, inertia 163973939.5247835
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Iteration 10, inertia 163932243.29830742
Iteration 11, inertia 163931472.26289746
Iteration 12, inertia 163931154.3925051
Iteration 13, inertia 163931017.22021493
Iteration 14, inertia 163930960.446888
Iteration 15, inertia 163930938.79799327
Converged at iteration 15: center shift 2.9239740047401007e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 230863020.53073063
Iteration 1, inertia 174315793.53231776
Iteration 2, inertia 170904649.93121287
Iteration 3, inertia 168196833.53811997
Iteration 4, inertia 166643602.93463448
Iteration 5, inertia 166060061.00523585
Iteration 6, inertia 165601502.63437757
Iteration 7, inertia 165213307.56311807
Iteration 8, inertia 164976421.5275647
Iteration 9, inertia 164865290.1488247
Iteration 10, inertia 164808238.60905272
Iteration 11, inertia 164771628.57820874
Iteration 12, inertia 164742749.6660936
Iteration 13, inertia 164717921.15059683
Iteration 14, inertia 164696762.27895927
Iteration 15, inertia 164676493.4690224
Iteration 16, inertia 164651553.16902894
Iteration 17, inertia 164618832.68165797
Iteration 18, inertia 164581256.01456797
Iteration 19, inertia 164560913.5213283
Iteration 20, inertia 164556802.95482278
Iteration 21, inertia 164556254.7803638
Iteration 22, inertia 164556166.07577688
Converged at iteration 22: center shift 4.5471609080327e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 226684090.78269723
Iteration 1, inertia 171740469.65839848
Iteration 2, inertia 168350263.7406356
Iteration 3, inertia 166641647.33922258
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Iteration 5, inertia 164846299.1594535
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Iteration 33, inertia 163897749.3147628
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Iteration 35, inertia 163897380.95377478
Iteration 36, inertia 163897230.24895367
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Iteration 39, inertia 163896845.36544654
Iteration 40, inertia 163896741.2788416
Iteration 41, inertia 163896654.73648655
Iteration 42, inertia 163896581.186056
Iteration 43, inertia 163896524.5687226
Iteration 44, inertia 163896477.8561629
Converged at iteration 44: center shift 4.922037147188964e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 244528722.879734
Iteration 1, inertia 175833400.62241048
Iteration 2, inertia 169027706.1739321
Iteration 3, inertia 165803349.34510744
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Iteration 14, inertia 163897969.30241075
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Iteration 17, inertia 163896849.3428606
Iteration 18, inertia 163896715.3652981
Iteration 19, inertia 163896630.66966033
Iteration 20, inertia 163896568.78894505
Iteration 21, inertia 163896521.17761013
Converged at iteration 21: center shift 4.5827250070738e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 220275003.09258592
Iteration 1, inertia 167502401.54874268
Iteration 2, inertia 165808469.46817788
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Iteration 39, inertia 163902882.68416235
Iteration 40, inertia 163901874.53403944
Iteration 41, inertia 163901067.62052235
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Iteration 45, inertia 163898958.38186684
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Iteration 57, inertia 163896684.09939504
Iteration 58, inertia 163896606.34503633
Iteration 59, inertia 163896543.05311713
Iteration 60, inertia 163896495.12185204
Converged at iteration 60: center shift 5.1416738964480167e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 253321251.1138167
Iteration 1, inertia 175643279.2368733
Iteration 2, inertia 170897668.90958747
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Iteration 45, inertia 163898620.11599958
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Iteration 47, inertia 163898072.6119951
Iteration 48, inertia 163897844.76433206
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Iteration 50, inertia 163897450.431339
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Iteration 59, inertia 163896494.71412367
Iteration 60, inertia 163896453.9508306
Converged at iteration 60: center shift 3.934408107539196e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 229413824.24018008
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Converged at iteration 53: center shift 5.139355304412638e-05 within tolerance 5.165974241352818e-05.
Initialization complete
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Converged at iteration 101: center shift 4.5286857148292576e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 270234991.60458446
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Converged at iteration 57: center shift 4.553305404443392e-05 within tolerance 5.165974241352818e-05.
Initialization complete
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Converged at iteration 42: center shift 4.725405262895592e-05 within tolerance 5.165974241352818e-05.
Initialization complete
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Converged at iteration 78: center shift 4.6365643032815316e-05 within tolerance 5.165974241352818e-05.
Initialization complete
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Converged at iteration 60: center shift 4.791410428557323e-05 within tolerance 5.165974241352818e-05.
Initialization complete
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Converged at iteration 90: center shift 4.2927656903942874e-05 within tolerance 5.165974241352818e-05.
Initialization complete
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Converged at iteration 52: center shift 4.024749798225863e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 266888034.17442402
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Converged at iteration 17: center shift 4.379724007046435e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 244533068.91298363
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Iteration 86, inertia 163896684.96323028
Converged at iteration 86: center shift 4.4864982766276896e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 265833535.4465208
Iteration 1, inertia 177934655.7192947
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Iteration 85, inertia 163896738.58048168
Iteration 86, inertia 163896691.29163247
Converged at iteration 86: center shift 4.6602061446490364e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 269865832.7808994
Iteration 1, inertia 170600911.78891882
Iteration 2, inertia 167857287.47535646
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Iteration 50, inertia 163896451.03510007
Converged at iteration 50: center shift 4.191028549803835e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 232868399.21990925
Iteration 1, inertia 170528336.93955588
Iteration 2, inertia 167198390.1204176
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Iteration 57, inertia 163896479.5640322
Converged at iteration 57: center shift 4.9924153164731554e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 241721144.61058345
Iteration 1, inertia 167347200.67457172
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Iteration 64, inertia 163896678.17444828
Converged at iteration 64: center shift 4.20493032233661e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 291293843.99976075
Iteration 1, inertia 172926568.06737936
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Converged at iteration 14: center shift 2.7834189917911318e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 232058936.41088608
Iteration 1, inertia 175781968.11565685
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Converged at iteration 22: center shift 8.99728008562063e-06 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 221462260.07625154
Iteration 1, inertia 166520933.14129832
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Converged at iteration 13: center shift 4.6311360987809656e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 246921035.03681204
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Converged at iteration 15: center shift 4.68718937626562e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 233268393.42565984
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Converged at iteration 16: center shift 2.31817096388406e-05 within tolerance 5.165974241352818e-05.
Initialization complete
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Iteration 87, inertia 163896457.17259714
Converged at iteration 87: center shift 3.921114399096817e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 237460169.33258873
Iteration 1, inertia 167042697.23158836
Iteration 2, inertia 164582202.85527107
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Iteration 61, inertia 163896687.98766768
Converged at iteration 61: center shift 4.366575748366406e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 241533949.42110878
Iteration 1, inertia 166230887.10960102
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Iteration 50, inertia 163896481.41685092
Converged at iteration 50: center shift 4.89887560564524e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 228342592.33385274
Iteration 1, inertia 177399573.32265705
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Iteration 3, inertia 174501632.86036995
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Iteration 16, inertia 166661890.67383698
Converged at iteration 16: center shift 1.6682148560307563e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 253533402.84262478
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Iteration 49, inertia 163896711.97063336
Converged at iteration 49: center shift 5.085158817053602e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 251338773.6009053
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Converged at iteration 26: center shift 3.174147449247709e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 206405428.36543453
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Iteration 73, inertia 163896709.81704366
Converged at iteration 73: center shift 5.000551477909948e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 240723926.12916204
Iteration 1, inertia 176479922.1136289
Iteration 2, inertia 174961966.60430813
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Iteration 11, inertia 166165794.64254847
Iteration 12, inertia 166165700.12099442
Converged at iteration 12: center shift 4.716550804628031e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 218863253.55884346
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Iteration 16, inertia 166661906.43484217
Converged at iteration 16: center shift 3.156939482192746e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 241614608.43210277
Iteration 1, inertia 167293650.27020788
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Iteration 39, inertia 163896712.03862223
Converged at iteration 39: center shift 5.14880073399282e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 248424963.64146087
Iteration 1, inertia 175985711.06219727
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Iteration 16, inertia 166661900.15932533
Converged at iteration 16: center shift 2.4960950186029405e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 271283788.79348105
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Converged at iteration 71: center shift 4.262231948658132e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 251056397.6818153
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Iteration 56, inertia 163896644.80528855
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Iteration 58, inertia 163896519.71866924
Iteration 59, inertia 163896474.63827327
Converged at iteration 59: center shift 4.6795827101738934e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 244298626.15244883
Iteration 1, inertia 166177819.1377305
Iteration 2, inertia 165068716.71913815
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Iteration 20, inertia 164765896.7289876
Converged at iteration 20: center shift 4.265224630512411e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 241573911.1193611
Iteration 1, inertia 168976788.56638092
Iteration 2, inertia 166443714.4554965
Iteration 3, inertia 165646032.18266568
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Iteration 17, inertia 164765954.588389
Iteration 18, inertia 164765916.29195145
Iteration 19, inertia 164765893.07810575
Converged at iteration 19: center shift 3.9430956227186205e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 226398170.40285826
Iteration 1, inertia 178879947.7105794
Iteration 2, inertia 172449007.85969502
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Iteration 39, inertia 163896457.20343474
Converged at iteration 39: center shift 4.0999310272300696e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 250683245.5813215
Iteration 1, inertia 172840651.3034059
Iteration 2, inertia 166744138.07337743
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Iteration 65, inertia 163896717.5466663
Iteration 66, inertia 163896675.16374293
Converged at iteration 66: center shift 4.292765690394302e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 248153845.20526117
Iteration 1, inertia 173143458.3707428
Iteration 2, inertia 165463852.9499475
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Iteration 9, inertia 163930938.07936257
Converged at iteration 9: center shift 3.887145755215216e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 249446144.56622794
Iteration 1, inertia 166897110.73084128
Iteration 2, inertia 165658103.0427596
Iteration 3, inertia 165250484.81778398
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Iteration 17, inertia 164765915.8805215
Iteration 18, inertia 164765892.3893736
Converged at iteration 18: center shift 4.1991690071582916e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 246200119.91548172
Iteration 1, inertia 170174691.38335672
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Iteration 75, inertia 163897677.0449861
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Iteration 87, inertia 163896747.0205081
Iteration 88, inertia 163896699.91863984
Converged at iteration 88: center shift 4.835545864526224e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 246617580.89995736
Iteration 1, inertia 171215226.38159242
Iteration 2, inertia 166973004.29370362
Iteration 3, inertia 166106391.58125103
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Iteration 43, inertia 163896487.05172285
Converged at iteration 43: center shift 5.1175150269080806e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 222514201.82128763
Iteration 1, inertia 165989586.68744782
Iteration 2, inertia 164857139.16447282
Iteration 3, inertia 164581009.54129502
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Iteration 43, inertia 163896526.8496362
Iteration 44, inertia 163896479.84914714
Converged at iteration 44: center shift 4.966999932463391e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 252117261.39277825
Iteration 1, inertia 169504667.79048434
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Iteration 14, inertia 164556132.2902375
Iteration 15, inertia 164556104.0020297
Converged at iteration 15: center shift 2.445108336223754e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 245710280.25208008
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Iteration 54, inertia 163896461.99072346
Converged at iteration 54: center shift 4.1158319450309394e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 234182411.81268528
Iteration 28, inertia 163966443.4942375
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Iteration 65, inertia 163896491.99347463
Converged at iteration 65: center shift 5.084127134025346e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 279389118.21449065
Iteration 1, inertia 165078791.81838095
Iteration 2, inertia 164248273.80547902
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Iteration 33, inertia 163896690.77804828
Converged at iteration 33: center shift 4.642605055097714e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 234927526.03587657
Iteration 1, inertia 171064182.87764362
Iteration 2, inertia 166305056.9376952
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Iteration 56, inertia 163896734.4289302
Iteration 57, inertia 163896687.98766768
Converged at iteration 57: center shift 4.3665757483663315e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 259531258.4212871
Iteration 1, inertia 167762224.13302267
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Iteration 57, inertia 163896468.80176556
Converged at iteration 57: center shift 4.39073241811054e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 239991027.21664166
Iteration 1, inertia 168930640.4304114
Iteration 2, inertia 165802800.42694697
Iteration 3, inertia 164775645.6517397
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Iteration 45, inertia 163896699.94363672
Converged at iteration 45: center shift 4.8129424070517254e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 259096252.45623216
Iteration 1, inertia 167701220.54309362
Iteration 2, inertia 165659561.67020994
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Iteration 40, inertia 164765906.16831678
Converged at iteration 40: center shift 4.588597502756956e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 231845542.38131174
Iteration 1, inertia 167273129.1235175
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Iteration 48, inertia 163896473.10929304
Converged at iteration 48: center shift 4.482655388341119e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 272581571.34265405
Iteration 1, inertia 172190220.46156308
Iteration 2, inertia 169228617.9022051
Iteration 3, inertia 166952365.12946856
Iteration 4, inertia 165332560.25020155
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Iteration 15, inertia 163931042.58465928
Iteration 16, inertia 163930972.44331262
Iteration 17, inertia 163930945.6515413
Converged at iteration 17: center shift 2.4487104342086157e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 256142397.47142795
Iteration 1, inertia 170089578.18973204
Iteration 2, inertia 167542037.0348919
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Iteration 54, inertia 163897590.22365427
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Iteration 64, inertia 163896801.98872504
Iteration 65, inertia 163896751.42390782
Iteration 66, inertia 163896704.6505384
Converged at iteration 66: center shift 5.034234813252674e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 238766918.74227723
Iteration 1, inertia 173517515.31195018
Iteration 2, inertia 167531187.26747003
Iteration 3, inertia 165086393.0191995
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Iteration 15, inertia 163930949.8782803
Converged at iteration 15: center shift 2.8043110942647503e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 260775107.6317417
Iteration 1, inertia 167012674.7180299
Iteration 2, inertia 164710185.72883633
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Iteration 15, inertia 163930988.51543033
Iteration 16, inertia 163930944.6815386
Iteration 17, inertia 163930935.11752406
Converged at iteration 17: center shift 3.9046124726260257e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 237711474.86078992
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Iteration 50, inertia 163896679.73625824
Converged at iteration 50: center shift 4.284022465475636e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 230895490.8862861
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Iteration 58, inertia 163896699.9123313
Converged at iteration 58: center shift 4.82135112575791e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 233020578.8077239
Iteration 1, inertia 166372266.3109478
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Converged at iteration 35: center shift 4.4012033237231894e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 239526725.2609075
Iteration 1, inertia 172765416.45066586
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Converged at iteration 32: center shift 4.229957095709846e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 241402042.518436
Iteration 1, inertia 164933879.6171616
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Iteration 51, inertia 163896690.0070353
Converged at iteration 51: center shift 4.5982725693906356e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 252636195.33760697
Iteration 1, inertia 170584208.34145322
Iteration 2, inertia 167036367.6421636
Iteration 3, inertia 165347429.66922218
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Iteration 15, inertia 163930969.942749
Converged at iteration 15: center shift 4.885413408148987e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 234548578.51702422
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Iteration 44, inertia 164765904.08780107
Converged at iteration 44: center shift 4.341814136793825e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 244229897.73558646
Iteration 1, inertia 165765404.7638314
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Iteration 39, inertia 163896454.4810078
Converged at iteration 39: center shift 4.064498250751031e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 239114819.28160167
Iteration 1, inertia 170839393.89770916
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Iteration 20, inertia 163930933.03445435
Converged at iteration 20: center shift 3.921445288901934e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 293876344.1884543
Iteration 1, inertia 167176374.93494216
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Iteration 67, inertia 163896794.52846217
Iteration 68, inertia 163896744.52332276
Iteration 69, inertia 163896696.87118202
Converged at iteration 69: center shift 5.0026774967486666e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 275566005.4242599
Iteration 1, inertia 166233625.40216187
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Iteration 60, inertia 163896456.70172313
Converged at iteration 60: center shift 3.9848792471987936e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 255084942.59923813
Iteration 1, inertia 169082481.5088082
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Converged at iteration 47: center shift 4.7165860204352925e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 236913476.24277773
Iteration 1, inertia 173606754.68527845
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Converged at iteration 18: center shift 3.350897521628104e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 249902501.07336453
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Iteration 64, inertia 163896691.29163247
Converged at iteration 64: center shift 4.6602061446490046e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 227427494.33165953
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Converged at iteration 28: center shift 4.0418157431763384e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 256074496.06697753
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Converged at iteration 19: center shift 2.769393282843374e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 286211065.079762
Iteration 1, inertia 169216808.435809
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Iteration 63, inertia 163896457.1045533
Converged at iteration 63: center shift 4.110472301004943e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 222454645.67365983
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Iteration 54, inertia 163896453.47234568
Converged at iteration 54: center shift 3.977351992222538e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 249082671.09341204
Iteration 1, inertia 170049019.4396944
Iteration 2, inertia 165373032.03682306
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Converged at iteration 24: center shift 4.403186710847413e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 223389900.62632287
Iteration 1, inertia 166852360.04160532
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Iteration 65, inertia 163896683.71007368
Converged at iteration 65: center shift 4.341837555419588e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 224843717.53334072
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Iteration 54, inertia 163896460.46403974
Converged at iteration 54: center shift 4.1246792928769524e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 278821812.4032668
Iteration 1, inertia 170427687.32854578
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Converged at iteration 41: center shift 4.0917332983492126e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 234477211.9141893
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Converged at iteration 49: center shift 5.077373137205885e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 231773625.7523972
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Converged at iteration 20: center shift 4.54826209490825e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 246617351.88681638
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Converged at iteration 74: center shift 4.455856349541823e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 239171134.0840178
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Converged at iteration 20: center shift 4.130985053512777e-05 within tolerance 5.165974241352818e-05.
Initialization complete
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Iteration 64, inertia 163896675.41844746
Converged at iteration 64: center shift 4.283130430750429e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 268170488.9443915
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Converged at iteration 105: center shift 4.636564303281572e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 222427911.78358078
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Converged at iteration 54: center shift 4.7996261789504726e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 266805700.49418694
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Converged at iteration 23: center shift 4.853824765104938e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 261838345.91489112
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Converged at iteration 48: center shift 4.827131381106643e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 246409768.93832946
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Converged at iteration 14: center shift 4.426101546713084e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 242777219.79388484
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Converged at iteration 104: center shift 4.828212564487743e-05 within tolerance 5.165974241352818e-05.
Initialization complete
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Converged at iteration 44: center shift 4.448111489488056e-05 within tolerance 5.165974241352818e-05.
Initialization complete
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Iteration 53, inertia 163896492.31690988
Converged at iteration 53: center shift 5.106064543788113e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 225393283.64679778
Iteration 1, inertia 165816555.44721627
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Iteration 26, inertia 164765906.19680673
Converged at iteration 26: center shift 4.6311666324851765e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 238527662.02950102
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Iteration 53, inertia 163896474.22782564
Converged at iteration 53: center shift 4.715684099048385e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 236276306.3896894
Iteration 1, inertia 174547269.7073733
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Iteration 58, inertia 163896687.98766768
Converged at iteration 58: center shift 4.3665757483663335e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 228761220.0965602
Iteration 1, inertia 173725617.0598955
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Iteration 16, inertia 163930965.99093834
Converged at iteration 16: center shift 4.396410383636847e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 226503625.68472075
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Iteration 32, inertia 164765897.75349557
Converged at iteration 32: center shift 4.2231053761828556e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 232157058.1255133
Iteration 1, inertia 172420431.04997373
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Iteration 18, inertia 164556157.89076656
Converged at iteration 18: center shift 2.8692460622943182e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 230022265.51759094
Iteration 1, inertia 167320449.87700713
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Iteration 11, inertia 163930969.6935446
Iteration 12, inertia 163930944.75376388
Converged at iteration 12: center shift 2.5995849977305727e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 241212301.85816833
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Iteration 50, inertia 163896462.18027085
Converged at iteration 50: center shift 4.164548017967514e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 277540882.1654433
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Iteration 70, inertia 163896455.23635685
Converged at iteration 70: center shift 4.083338799363438e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 226721043.38733494
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Iteration 55, inertia 163896461.43891802
Converged at iteration 55: center shift 4.0927466873993373e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 285419721.6296607
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Converged at iteration 8: center shift 3.3632308668039966e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 223191405.41236606
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Iteration 58, inertia 163896662.73646754
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Iteration 60, inertia 163896529.5048445
Iteration 61, inertia 163896482.2652202
Converged at iteration 61: center shift 4.8644441135758406e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 272224461.1083833
Iteration 1, inertia 175210849.72141328
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Iteration 46, inertia 163896501.88627335
Iteration 47, inertia 163896459.75394946
Converged at iteration 47: center shift 4.0310504697824974e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 259947809.90999013
Iteration 1, inertia 173208639.2855119
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Iteration 3, inertia 167339142.54787937
Iteration 4, inertia 166540852.17020753
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Iteration 7, inertia 165114581.66908866
Iteration 8, inertia 164938378.0192841
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Iteration 11, inertia 164784640.74961582
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Iteration 15, inertia 164767046.77804667
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Iteration 19, inertia 164765956.48501033
Iteration 20, inertia 164765912.96723658
Iteration 21, inertia 164765888.5386079
Converged at iteration 21: center shift 4.018369953307226e-05 within tolerance 5.165974241352818e-05.
Initialization complete
Iteration 0, inertia 254702761.61898455
Iteration 1, inertia 165503503.30445674
Iteration 2, inertia 164387413.53242406
Iteration 3, inertia 164142211.1722365
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Iteration 42, inertia 163898933.00817102
Iteration 43, inertia 163898787.15352422
Iteration 44, inertia 163898641.5487084

import pandas as pd
labels = pd.Series(km.labels_, index=data2.index, name="subclustering_cluster2_k3")

pd.DataFrame(labels).to_parquet("../../urbangrammar_samba/spatial_signatures/clustering_data/subclustering_cluster2_k3.pq")

labels = pd.DataFrame(labels)

labels
subclustering_cluster2_k3
hindex
c000e097919t0003 1
c000e097919t0005 1
c000e097919t0008 1
c000e097919t0009 1
c000e097919t0015 1
... ...
c102e639766t0007 0
c102e639766t0010 0
c102e639766t0011 0
c102e639766t0012 0
c102e639766t0013 0

1115564 rows × 1 columns

import geopandas as gpd
import matplotlib.pyplot as plt
import contextily as ctx
import urbangrammar_graphics as ugg
import dask_geopandas
from utils.dask_geopandas import dask_dissolve
import warnings 

warnings.filterwarnings('ignore', message='.*initial implementation of Parquet.*')

for i in range(103):
    geom = gpd.read_parquet(f"../../urbangrammar_samba/spatial_signatures/tessellation/tess_{i}.pq", columns=["tessellation", "hindex"]).set_index("hindex")
    geom = geom.merge(labels, how="left", left_index=True, right_index=True)
    geom = geom[~geom.subclustering_cluster2_k3.isna()]


    ddf = dask_geopandas.from_geopandas(geom.sort_values('subclustering_cluster2_k3'), npartitions=64)
    spsig = dask_dissolve(ddf, by='subclustering_cluster2_k3').compute().reset_index(drop=True).explode()

    spsig.to_parquet(f"../../urbangrammar_samba/spatial_signatures/signatures/temp/spsig_{i}.pq")
    print(f"Chunk {i} done.")

Chunk 0 done.
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spsigs = pd.concat([gpd.read_parquet(f"../../urbangrammar_samba/spatial_signatures/signatures/temp/spsig_{i}.pq") for i in range(103)])
ddf = dask_geopandas.from_geopandas(spsigs.sort_values('subclustering_cluster2_k3').reset_index(drop=True), npartitions=64)
spsig = dask_dissolve(ddf, by='subclustering_cluster2_k3').compute().reset_index(drop=True).explode()

spsig.to_parquet(f"../../urbangrammar_samba/spatial_signatures/signatures/sub_signatures_cluster2_k3_GB.pq")

ddf = dask_geopandas.from_geopandas(spsig.reset_index().rename_geometry("geometry"), npartitions=64)
ddf.geometry = ddf.simplify(2).buffer(.001).simplify(2)
%time spsig = ddf.compute()

CPU times: user 36 s, sys: 352 ms, total: 36.4 s
Wall time: 5.01 s

spsig.to_file(f"../../urbangrammar_samba/spatial_signatures/signatures/sub_signatures_cluster2_k3_GB_simplified.geojson", driver="GeoJSON")

spsig.to_parquet(f"../../urbangrammar_samba/spatial_signatures/signatures/sub_signatures_cluster2_k3_GB_simplified.pq")

import pandas as pd

import geopandas as gpd

spsig = gpd.read_parquet(f"../../urbangrammar_samba/spatial_signatures/signatures/signatures_KMeans10_GB.pq")

level2_2 = gpd.read_parquet(f"../../urbangrammar_samba/spatial_signatures/signatures/sub_signatures_cluster2_k3_GB.pq")
level2_9 = gpd.read_parquet(f"../../urbangrammar_samba/spatial_signatures/signatures/sub_signatures_cluster9_k9_GB.pq")

level1 = spsig[~spsig.kmeans10gb.isin([2, 9])]

level2_2["kmeans10gb"] = 2
level2_9["kmeans10gb"] = 9

level1
kmeans10gb tessellation
0 0 0 POLYGON Z ((62220.000 798500.000 0.000, 62110....
1 0 POLYGON Z ((63507.682 796515.169 0.000, 63471....
2 0 POLYGON Z ((65953.174 802246.172 0.000, 65950....
3 0 POLYGON Z ((67297.740 803435.800 0.000, 67220....
4 0 POLYGON Z ((75760.000 852670.000 0.000, 75700....
... ... ... ...
8 9413 8 POLYGON Z ((653930.897 294786.267 0.000, 65392...
9414 8 POLYGON Z ((654082.364 294855.835 0.000, 65408...
9415 8 POLYGON Z ((654128.163 294913.000 0.000, 65412...
9416 8 POLYGON Z ((654804.134 295390.027 0.000, 65480...
9417 8 POLYGON Z ((654843.564 295453.013 0.000, 65484...

78662 rows × 2 columns

level2_2.columns, level2_9.columns

(Index(['subclustering_cluster2_k3', 'tessellation', 'kmeans10gb'], dtype='object'),
 Index(['clusters', 'geometry', 'kmeans10gb'], dtype='object'))

level2_2.columns = ['level2', 'tessellation', 'kmeans10gb']
level2_9.columns = ['level2', 'geometry', 'kmeans10gb']
level2_2 = level2_2.rename_geometry("geometry")
level1 = level1.rename_geometry("geometry")
level1['level2'] = 0

combined = pd.concat([level1, level2_2, level2_9], axis=0)

combined = combined.reset_index(drop=True)

combined["signature_type"] = combined.kmeans10gb.astype(str) + '_' + combined.level2.astype(int).astype(str)

combined.signature_type.nunique()

20

combined.to_parquet("../../urbangrammar_samba/spatial_signatures/signatures/signatures_combined_levels_orig.pq")

<ipython-input-24-b39b5e626a13>:1: UserWarning: this is an initial implementation of Parquet/Feather file support and associated metadata.  This is tracking version 0.1.0 of the metadata specification at https://github.com/geopandas/geo-arrow-spec

This metadata specification does not yet make stability promises.  We do not yet recommend using this in a production setting unless you are able to rewrite your Parquet/Feather files.

To further ignore this warning, you can do: 
import warnings; warnings.filterwarnings('ignore', message='.*initial implementation of Parquet.*')
  combined.to_parquet("../../urbangrammar_samba/spatial_signatures/signatures/signatures_combined_levels_orig.pq")

combined
kmeans10gb geometry level2 signature_type
0 0 POLYGON Z ((62220.000 798500.000 0.000, 62110.... 0.0 0_0
1 0 POLYGON Z ((63507.682 796515.169 0.000, 63471.... 0.0 0_0
2 0 POLYGON Z ((65953.174 802246.172 0.000, 65950.... 0.0 0_0
3 0 POLYGON Z ((67297.740 803435.800 0.000, 67220.... 0.0 0_0
4 0 POLYGON Z ((75760.000 852670.000 0.000, 75700.... 0.0 0_0
... ... ... ... ...
96699 9 POLYGON ((323321.005 463795.416, 323319.842 46... 8.0 9_8
96700 9 POLYGON ((325929.840 1008792.061, 325927.377 1... 8.0 9_8
96701 9 POLYGON ((337804.770 1013422.583, 337800.122 1... 8.0 9_8
96702 9 POLYGON ((422304.270 1147826.990, 422296.000 1... 8.0 9_8
96703 9 POLYGON ((525396.260 439215.480, 525360.920 43... 8.0 9_8

96704 rows × 4 columns

import dask_geopandas

ddf = dask_geopandas.from_geopandas(combined, npartitions=512)
ddf.geometry = ddf.simplify(2).buffer(.001).simplify(2)
%time simplified = ddf.compute()

/opt/conda/lib/python3.8/site-packages/dask_geopandas/backends.py:31: FutureWarning: The input object of type 'LineString' is an array-like implementing one of the corresponding protocols (`__array__`, `__array_interface__` or `__array_struct__`); but not a sequence (or 0-D). In the future, this object will be coerced as if it was first converted using `np.array(obj)`. To retain the old behaviour, you have to either modify the type 'LineString', or assign to an empty array created with `np.empty(correct_shape, dtype=object)`.
  a = np.array(
/opt/conda/lib/python3.8/site-packages/dask_geopandas/backends.py:31: FutureWarning: The input object of type 'LineString' is an array-like implementing one of the corresponding protocols (`__array__`, `__array_interface__` or `__array_struct__`); but not a sequence (or 0-D). In the future, this object will be coerced as if it was first converted using `np.array(obj)`. To retain the old behaviour, you have to either modify the type 'LineString', or assign to an empty array created with `np.empty(correct_shape, dtype=object)`.
  a = np.array(
/opt/conda/lib/python3.8/site-packages/dask_geopandas/backends.py:31: FutureWarning: The input object of type 'LineString' is an array-like implementing one of the corresponding protocols (`__array__`, `__array_interface__` or `__array_struct__`); but not a sequence (or 0-D). In the future, this object will be coerced as if it was first converted using `np.array(obj)`. To retain the old behaviour, you have to either modify the type 'LineString', or assign to an empty array created with `np.empty(correct_shape, dtype=object)`.
  a = np.array(
/opt/conda/lib/python3.8/site-packages/dask_geopandas/backends.py:31: FutureWarning: The input object of type 'LineString' is an array-like implementing one of the corresponding protocols (`__array__`, `__array_interface__` or `__array_struct__`); but not a sequence (or 0-D). In the future, this object will be coerced as if it was first converted using `np.array(obj)`. To retain the old behaviour, you have to either modify the type 'LineString', or assign to an empty array created with `np.empty(correct_shape, dtype=object)`.
  a = np.array(

CPU times: user 19min 29s, sys: 2min 4s, total: 21min 33s
Wall time: 12min 38s

simplified.to_parquet("../../urbangrammar_samba/spatial_signatures/signatures/signatures_combined_levels_simplified.pq")

<ipython-input-27-f56ab07fecb2>:1: UserWarning: this is an initial implementation of Parquet/Feather file support and associated metadata.  This is tracking version 0.1.0 of the metadata specification at https://github.com/geopandas/geo-arrow-spec

This metadata specification does not yet make stability promises.  We do not yet recommend using this in a production setting unless you are able to rewrite your Parquet/Feather files.

To further ignore this warning, you can do: 
import warnings; warnings.filterwarnings('ignore', message='.*initial implementation of Parquet.*')
  simplified.to_parquet("../../urbangrammar_samba/spatial_signatures/signatures/signatures_combined_levels_simplified.pq")