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wahlomat_analysis.py
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wahlomat_analysis.py
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#!/usr/bin/env python
"""
Scrapes and analyzes www.wahl-o-mat.de German political party data.
It generates a correlation heatmap and a principal component analysis map.
On both clusters are indicated with two seperate calculations.
For more information visit https://github.com/microraptor/wahlomat_analysis
There is a section to configure the settings after the imports.
"""
# %% IPython config
# Comment out, if running as a script
# %config InlineBackend.figure_format = 'svg'
# %% Import packages
# Standard library
import re
import urllib.request
# External libraries
import matplotlib.pyplot as plt
import numpy as np
import pandas as pd
import seaborn as sns
from matplotlib import ticker
from matplotlib.patches import Rectangle
from sklearn import cluster
from sklearn.decomposition import PCA
# %% Settings
# For more information see README.md
# Set which election should be analysed
ELECTION: str = "bundestagswahl2021" # Part of the URL: www.wahl-o-mat.de/ELECTION/...
# Set which cluster method should be used for the PCA map (Default: AffinityPropagation)
CLUSTER_METHOD: str = "AffinityPropagation" # See sklearn.cluster for options
N_CLUSTERS: int = 6 # Number of clusters; only relevant for some cluster methods
# Set which hierarchical-cluster method should be used for the dendrogram on the heatmap
# This also sorts the party list of the heatmap (Defaults: "average" and "euclidean")
H_CLUSTER_METHOD = "average" # See scipy.cluster.hierarchy.linkage for options
H_CLUSTER_METRIC = "euclidean" # See scipy.spatial.distance.pdist for options
# Emphasize party names, if they appear
EMPHASIZED_PARTIES: list = [ # Only lowercase (casefold)
"die linke",
"linke",
"die grünen",
"grüne",
"spd",
"fdp",
"cdu",
"csu",
"union",
"cdu/csu",
"cdu / csu",
"afd",
]
# Set seaborn theme and config
sns.set_theme(
context="paper",
style="darkgrid",
palette="deep",
rc={"savefig.dpi": 300, "figure.dpi": 300},
)
# %% Scrape data
# Download the raw JS data
url_request: str = (
f"https://www.wahl-o-mat.de/{ELECTION}/app/definitionen/module_definition.js"
)
with urllib.request.urlopen(url_request) as response: # nosec
raw_data_js: str = response.read().decode()
# Extract the data points with regex
titles: list = re.findall(
r"^WOMT_aThesen\[\d+\]\[\d+\]\[0] = \'(.+?)\';$", raw_data_js, re.MULTILINE
)
questions: list = re.findall(
r"^WOMT_aThesen\[\d+\]\[\d+\]\[1] = \'(.+?)\';$", raw_data_js, re.MULTILINE
)
party_names_full: list = re.findall(
r"^WOMT_aParteien\[\d+\]\[\d+\]\[0] ?= ?\'(.+?)\';$", raw_data_js, re.MULTILINE
)
party_names: list = re.findall(
r"^WOMT_aParteien\[\d+\]\[\d+\]\[1] ?= ?\'(.+?)\';$", raw_data_js, re.MULTILINE
)
raw_answers: list = re.findall(
r"^WOMT_aThesenParteien\[(\d+)]\[(\d+)] ?= ?\'(.+?)\';$",
raw_data_js,
re.MULTILINE,
)
# %% Transform and clean datasets
# Create dataframes
question_df: pd.DataFrame = pd.DataFrame(
zip(titles, questions), columns=["title", "question"]
)
party_df: pd.DataFrame = pd.DataFrame(
zip(party_names_full, party_names), columns=["full_name", "party_name"]
)
answer_df: pd.DataFrame = pd.DataFrame(
pd.DataFrame(raw_answers, columns=["question", "party_id", "answer"]).astype("int")
)
# Exclude party entries with seemingly invalid answers
bad_parties: pd.Index = party_df.loc[
answer_df.groupby("party_id")["answer"].std() == 0
].index
for party_id in bad_parties:
answer_df = answer_df[answer_df["party_id"] != party_id]
# Modify answer dataframe to have party names as rows and questions as columns
answer_df = answer_df.join(party_df, on="party_id")
answer_df = pd.pivot_table(
answer_df, values="answer", index="question", columns="party_name"
)
# %% Process data
# Calculate correlations with the Pearson correlation coefficient
answer_corr: pd.DataFrame = answer_df.corr(method="pearson")
# Calculate PCA components
pca: PCA = PCA(n_components=3)
party_pca: pd.DataFrame = pd.DataFrame(
pca.fit_transform(answer_df.T),
columns=["pca_x", "pca_y", "pca_z"],
index=answer_df.T.index,
)
# Calculate clusters
cluster_params: dict = {}
if CLUSTER_METHOD in [ # Methods that use number of clusters as parameter
"KMeans",
"MiniBatchKMeans",
"SpectralClustering",
"SpectralBiclustering",
"SpectralCoclustering",
"Birch",
"FeatureAgglomeration",
]:
cluster_params["n_clusters"] = N_CLUSTERS
if CLUSTER_METHOD in [ # Methods that have a random state parameter
"AffinityPropagation",
"KMeans",
"MiniBatchKMeans",
"SpectralClustering",
"SpectralBiclustering",
"SpectralCoclustering",
]:
cluster_params["random_state"] = 0 # Make calculations deterministic
party_pca["cluster"] = getattr(cluster, CLUSTER_METHOD)(**cluster_params).fit_predict(
answer_df.T
)
# Define data for influence explanations
pca_influences: pd.DataFrame = question_df.join(
pd.DataFrame(pca.components_.T, columns=["pca_x", "pca_y", "pca_z"])
).join(answer_df.sum(axis="columns").rename("answers_sum"))
pca_xvr, pca_yvr, pca_zvr = pca.explained_variance_ratio_
# %% Draw correlation heatmap
# Create and customize plot
plt.clf()
diag_mask: np.ndarray = np.zeros_like(answer_corr, dtype=bool)
np.fill_diagonal(diag_mask, True)
c_matrix: sns.matrix.ClusterGrid = sns.clustermap(
data=answer_corr,
cmap="RdYlGn",
center=0,
cbar_pos=None,
annot=answer_corr * 100,
fmt=".0f",
annot_kws={"fontsize": 8},
mask=diag_mask,
linewidths=0.8,
figsize=(12, 12),
method=H_CLUSTER_METHOD,
metric=H_CLUSTER_METRIC,
)
c_matrix.fig.suptitle("Übereinstimmungen der Parteien", y=0.87)
c_matrix.ax_col_dendrogram.remove()
c_matrix.ax_row_dendrogram.set(title="Cluster-Hierarchie")
c_matrix.ax_heatmap.set(
title="Korrelationskoeffizienten in %", xlabel=None, ylabel=None
)
c_matrix.ax_heatmap.tick_params(axis="both", direction="out", bottom=True, right=True)
# Emphasize specific parties
labels_row: list = c_matrix.ax_heatmap.get_yticklabels()
labels_col: list = c_matrix.ax_heatmap.get_xticklabels()
for party_label in labels_row:
if party_label.get_text().casefold() in EMPHASIZED_PARTIES:
party_label.set_color("darkblue")
party_label.set_fontweight("bold")
pos_x, pos_y = party_label.get_position()
c_matrix.ax_heatmap.add_patch(
Rectangle(
xy=(pos_x - 1.0, pos_y - 0.5),
width=len(labels_col),
height=1,
fill=False,
edgecolor="black",
lw=2,
clip_on=False,
)
)
for party_label in labels_col:
if party_label.get_text().casefold() in EMPHASIZED_PARTIES:
party_label.set_color("darkblue")
party_label.set_fontweight("bold")
pos_x, pos_y = party_label.get_position()
c_matrix.ax_heatmap.add_patch(
Rectangle(
xy=(pos_x - 0.5, pos_y),
width=1,
height=len(labels_row),
fill=False,
edgecolor="black",
lw=2,
clip_on=False,
)
)
# Rotate all x-axis labels and adjust positioning
party_label.set_rotation(55)
party_label.set_rotation_mode("anchor")
party_label.set_ha("right")
# Save as a file or show plot
plt.savefig(f"{ELECTION}_c_matrix.svg", bbox_inches="tight")
# plt.show()
# %% Draw PCA map
# Create and customize plot
plt.clf()
plt.figure(figsize=(10, 10))
plt.suptitle("Hauptkomponentenanalyse (PCA) der Parteien", y=0.92)
pca_map: plt.Axes = sns.scatterplot(
data=party_pca, x="pca_x", y="pca_y", hue="cluster", palette="bright", legend="full"
)
pca_map.set(
xlabel=f"Komponente X (PC1)\n{pca_xvr:.1%} Varianzanteil",
ylabel=f"Komponente Y (PC2)\n{pca_yvr:.1%} Varianzanteil",
xticks=[0],
yticks=[0],
xticklabels=[],
yticklabels=[],
)
pca_map.legend(
title="Clusters",
handles=pca_map.get_legend_handles_labels()[0],
labels=[""] * party_pca["cluster"].nunique(),
facecolor="white",
markerscale=1.5,
ncol=2,
handletextpad=0,
columnspacing=0.2,
shadow=True,
borderaxespad=1,
)
# Define grid
pca_map.xaxis.set_minor_locator(ticker.AutoLocator())
pca_map.yaxis.set_minor_locator(ticker.AutoLocator())
pca_map.grid(True, which="major", linewidth=1.2)
pca_map.grid(True, which="minor", linewidth=0.3)
# Add labels to the dots
for party_name in party_pca.index:
# pylint: disable=invalid-name
color: str = "black"
fontweight: str = "normal"
if party_name.casefold() in EMPHASIZED_PARTIES:
color = "darkblue"
fontweight = "bold"
pca_map.text(
x=party_pca.loc[party_name, "pca_x"] + 0.05,
y=party_pca.loc[party_name, "pca_y"] + 0.05,
s=party_name,
color=color,
fontweight=fontweight,
fontsize="small",
)
# Save as a file or show plot
plt.savefig(f"{ELECTION}_pca_map.svg", bbox_inches="tight")
# plt.show()
# %% Draw PCA influence barplot
# Scale data and adjust dataframe for plotting function
infl_prep = pca_influences.copy()
infl_prep["answers_sum"] *= (
infl_prep[["pca_x", "pca_y"]].abs().max().max() # max() reduces omly one dimension
/ infl_prep["answers_sum"].abs().max()
)
infl_prep = infl_prep.melt(
id_vars=["title"],
value_vars=["pca_x", "pca_y", "answers_sum"],
var_name="component",
value_name="influence",
)
# Create and customize plot
plt.clf()
plt.figure(figsize=(5, 18))
plt.suptitle("Einfluss der Fragen", y=0.95)
inf_barplot: plt.Axes = sns.barplot(
data=infl_prep,
x="influence",
y="title",
hue="component",
orient="h",
)
inf_barplot.set(
xlabel=None,
ylabel=None,
xticks=[0],
xticklabels=[
r"$\longleftarrow$ $-$ / Nein $+$ / Ja $\longrightarrow$"
],
)
inf_barplot.legend(
title=None,
handles=inf_barplot.get_legend_handles_labels()[0],
labels=[
"Komponente X (PC1)",
"Komponente Y (PC2)",
"Antworten aller Parteien kumuliert",
],
loc="lower center",
bbox_to_anchor=(0.5, 1.02),
facecolor="white",
shadow=True,
)
inf_barplot.tick_params(axis="x", labelbottom=False, labeltop=True, length=0)
# Set minor y-ticks to the same as major ticks, shift them and use them for the grid
inf_barplot.set_yticks([x - 0.5 for x in inf_barplot.get_yticks()], minor=True)
inf_barplot.grid(False, axis="x")
inf_barplot.grid(True, which="minor", axis="y", linewidth=1)
# Save as a file or show plot
plt.savefig(f"{ELECTION}_pca_influences.svg", bbox_inches="tight")
# plt.show()
# %%