class: center, middle, inverse, title-slide .title[ # Week 7:</br>Visualising</br>Spatial Data ] .author[ ### Visual Data Analytics ] .institute[ ### University of Sydney ] --- <script type="text/x-mathjax-config"> MathJax.Hub.Config({ TeX: { Macros: { bA: "{\\mathbf{A}}", bC: "{\\mathbf{C}}", bv: "{\\mathbf{v}}", bw: "{\\mathbf{w}}", bx: "{\\mathbf{x}}", bX: "{\\mathbf{X}}", by: "{\\mathbf{y}}", bY: "{\\mathbf{Y}}", bw: "{\\mathbf{w}}", bW: "{\\mathbf{W}}", bK: "{\\mathbf{K}}", bz: "{\\mathbf{z}}", bU: "{\\mathbf{U}}", bS: "{\\mathbf{S}}", bff: "{\\mathbf{f}}", bD: "{\\mathbf{D}}", bL: "{\\mathbf{L}}", calL: "{\\mathcal{L}}", calM: "{\\mathcal{M}}", bbR: "{\\mathbb{R}}", bB: "{\\mathbf{B}}", bbb: "{\\mathbf{b}}", bLambda: "{\\boldsymbol{\\Lambda}}", bDelta: "{\\boldsymbol{\\Delta}}", bH: "{\\mathbf{H}}", bI: "{\\mathbf{I}}", biota: "{\\boldsymbol{\\iota}}", bN: "{\\mathbf{N}}", bQ: "{\\mathbf{Q}}" } } }); </script> # Outline - Plotting maps + Understanding projections - Adding data to maps + Choropleth - Heatmap + Heatmaps are not choropleths! --- # Motivation - Many business decisions depend on geospatial data - Store locations - Investment in real estate - Profile customers in different parts of a city - Geospatial data used in many other applications. --- # Packages - There is an entire field known as Geographical Information Systems (GIS) that we could cover over an entire course. - It involves complicated problems including how coordinates are obtained, how they can be projected in different ways, etc. - The `geopandas` and `geoplot` packages can be used to handle these problems for us. - This package has many dependencies and can be fiddly to install --- # World map <img src="07SpatialData_files/figure-html/unnamed-chunk-2-1.png" width="768" style="display: block; margin: auto;" /> --- # What is a projection? - The earth is round. - There are different ways to project a sphere onto a flat screen. - All create distortion - The Mercator projection (previous slide) makes areas near the poles look bigger. --- # Robinson Projection <img src="07SpatialData_files/figure-html/unnamed-chunk-3-3.png" width="768" style="display: block; margin: auto;" /> --- # Does this matter? - For looking at small countries or cities... no - For large countries near the North pole... yes - For the North America it is common to use an Albers projection. - For Europe it is common to use an Lambert azimuthal projection. --- # North America .pull-left[  ] .pull-right[  ] --- # Europe .pull-left[  ] .pull-right[  ] --- # What about Australia? - To see we will actually download data for Australia. - First we need to download a *Shapefile* - A Shape file is actually multiple files that store all the information about borders. - We will use the SA4 areas of Australia. - The shapefiles can be downloaded from the [Australian Bureau of Statistics](https://www.abs.gov.au/statistics/standards/australian-statistical-geography-standard-asgs-edition-3/jul2021-jun2026/access-and-downloads/digital-boundary-files). - Shapefiles are a standard format used globally. --- # Read in shapefile ``` python aus = gpd.read_file('../data/SA4_2021_AUST_SHP_GDA2020') aus ``` ``` ## SA4_CODE21 ... geometry ## 0 101 ... MULTIPOLYGON (((150.05261 -37.26253, 150.05251... ## 1 102 ... MULTIPOLYGON (((151.31497 -33.55578, 151.31496... ## 2 103 ... POLYGON ((150.14236 -32.34153, 150.14255 -32.3... ## 3 104 ... MULTIPOLYGON (((153.07639 -30.42982, 153.07645... ## 4 105 ... POLYGON ((148.67619 -29.50976, 148.67662 -29.5... ## .. ... ... ... ## 103 899 ... None ## 104 901 ... MULTIPOLYGON (((167.94747 -29.12757, 167.94748... ## 105 997 ... None ## 106 999 ... None ## 107 ZZZ ... None ## ## [108 rows x 13 columns] ``` --- # Simplify series These shapefiles are very detailed making plotting slow. So we can simplify them. ``` python aus.geometry = aus.geometry.simplify(0.001) ``` --- # Australia ``` python aus.plot() ``` <img src="07SpatialData_files/figure-html/unnamed-chunk-6-5.png" width="672" style="display: block; margin: auto;" /> --- # Australia ``` python aus.boundary.plot() ``` <img src="07SpatialData_files/figure-html/unnamed-chunk-7-7.png" width="672" style="display: block; margin: auto;" /> --- # Summary - The default projection looks OK for Australia - However we don't simply want to plot maps - We want to add *data* to these maps. - This can be done using a choropleth - We will use data from the Australian Bureau of Statistics on mortgage repayments in Sydney. - We will merge this with the geopandas data frame --- class: middle, center, inverse # Choropleth --- # Data ``` python import pandas as pd mortgage = pd.read_csv('../data/Mortgage.csv') mortgage ``` ``` ## SA4 ... Total ## 0 Central Coast ... 152870 ## 1 Sydney - Baulkham Hills and Hawkesbury ... 89466 ## 2 Sydney - Blacktown ... 135540 ## 3 Sydney - City and Inner South ... 178493 ## 4 Sydney - Eastern Suburbs ... 122105 ## 5 Sydney - Inner South West ... 227887 ## 6 Sydney - Inner West ... 133899 ## 7 Sydney - North Sydney and Hornsby ... 180531 ## 8 Sydney - Northern Beaches ... 105115 ## 9 Sydney - Outer West and Blue Mountains ... 130809 ## 10 Sydney - Outer South West ... 104420 ## 11 Sydney - Parramatta ... 188066 ## 12 Sydney - Ryde ... 83400 ## 13 Sydney - South West ... 155905 ## 14 Sydney - Sutherland ... 90775 ## ## [15 rows x 25 columns] ``` --- #Merge ``` python import pandas as pd merged = aus.merge(mortgage, how='right',left_on = 'SA4_NAME21', right_on = 'SA4') merged ``` ``` ## SA4_CODE21 SA4_NAME21 ... Not applicable Total ## 0 102 Central Coast ... 107844 152870 ## 1 115 Sydney - Baulkham Hills and Hawkesbury ... 51873 89466 ## 2 116 Sydney - Blacktown ... 82831 135540 ## 3 117 Sydney - City and Inner South ... 146248 178493 ## 4 118 Sydney - Eastern Suburbs ... 97426 122105 ## 5 119 Sydney - Inner South West ... 167199 227887 ## 6 120 Sydney - Inner West ... 100829 133899 ## 7 121 Sydney - North Sydney and Hornsby ... 130327 180531 ## 8 122 Sydney - Northern Beaches ... 72014 105115 ## 9 124 Sydney - Outer West and Blue Mountains ... 84896 130809 ## 10 123 Sydney - Outer South West ... 62085 104420 ## 11 125 Sydney - Parramatta ... 139866 188066 ## 12 126 Sydney - Ryde ... 60698 83400 ## 13 127 Sydney - South West ... 105896 155905 ## 14 128 Sydney - Sutherland ... 58507 90775 ## ## [15 rows x 38 columns] ``` --- #Choropleth ``` python merged.plot(column="$5,000 and over", legend=True) ``` <img src="07SpatialData_files/figure-html/unnamed-chunk-10-9.png" width="70%" style="display: block; margin: auto;" /> --- # A word of caution - The choropleth on the previous slide uses *spatially extensive* data. - By this we mean they are raw counts of people that do not take the population of each area into account. - It is better to use *spatially intensive* data in a choropleth --- #Proportion ``` python merged["$5,000+ Percentage"] = 100*merged["$5,000 and over"]/merged["Total"] merged.plot(column="$5,000+ Percentage", legend=True) ``` <img src="07SpatialData_files/figure-html/unnamed-chunk-11-11.png" width="70%" style="display: block; margin: auto;" /> --- class: middle, center, inverse # Making things interactive --- # Why interactivity? - Unless you know the location well, it may be hard to tell which regions are which. - Also urban areas tend to be smaller therefore it helps to be able to zoom in and move around. - We can also augment the choropleth with data from individual locations. --- #Plolty Code ``` python import plotly.express as px merged.index = merged['SA4'] fig = px.choropleth_mapbox(merged, geojson=merged.geometry, locations = merged.index, color = "$5,000+ Percentage", opacity=0.5, mapbox_style="carto-positron", zoom = 7, #Zoom in scale center = {"lat": -33.7, "lon": 150.75}) fig.add_scattermapbox(lat = [-33.89083755569, -33.91648618776671], lon = [151.18711290919222, 151.23079491201923], text = ["The University of Sydney", "UNSW"], marker_size=6) ``` ```{=html} <div> <script type="text/javascript">window.PlotlyConfig = {MathJaxConfig: 'local'};</script> <script charset="utf-8" src="https://cdn.plot.ly/plotly-2.32.0.min.js"></script> <div id="461de8b6-2eda-4700-bdcc-c1c39b462048" class="plotly-graph-div" style="height:100%; width:100%;"></div> <script type="text/javascript"> window.PLOTLYENV=window.PLOTLYENV || {}; if (document.getElementById("461de8b6-2eda-4700-bdcc-c1c39b462048")) { Plotly.newPlot( "461de8b6-2eda-4700-bdcc-c1c39b462048", 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the population lives on the coast and well as India and France as other examples with less densely populated regions. - This commonly leads to misinterpratation of data. --- # Australian 2010 election .pull-left[ - The 2010 election was very close. - However the map on the right suggests the Coalition (blue) was dominant. - This map shows land but not voters. ] .pull-right[  ] --- # Two alternatives .pull-left[  ] .pull-right[  ] --- # Discussion - The alternative on the left is called a *cartogram*. - It can be visually jarring - The alternative on the right loses precise spatial information. - All plots and further discussion are from [this article](https://www.theguardian.com/world/datablog/2013/sep/06/better-election-results-map) - This issue is not restricted to politics, an example on brand choice may suffer from similar issues. --- class: middle, center, inverse # A word on heatmaps --- # Heatmaps - A choropleth is often called a *heatmap*. - A heatmap is a similar idea with areas shown using different colors. - However a heatmap is used to visualise numbers in a matrix. + A data matrix + A correlation matrix --- # Data Preparation ``` python import seaborn as sns fl = sns.load_dataset('flights') fltab = fl.pivot(index = 'year', columns = 'month') fltab ``` ``` ## passengers ## month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec ## year ## 1949 112 118 132 129 121 135 148 148 136 119 104 118 ## 1950 115 126 141 135 125 149 170 170 158 133 114 140 ## 1951 145 150 178 163 172 178 199 199 184 162 146 166 ## 1952 171 180 193 181 183 218 230 242 209 191 172 194 ## 1953 196 196 236 235 229 243 264 272 237 211 180 201 ## 1954 204 188 235 227 234 264 302 293 259 229 203 229 ## 1955 242 233 267 269 270 315 364 347 312 274 237 278 ## 1956 284 277 317 313 318 374 413 405 355 306 271 306 ## 1957 315 301 356 348 355 422 465 467 404 347 305 336 ## 1958 340 318 362 348 363 435 491 505 404 359 310 337 ## 1959 360 342 406 396 420 472 548 559 463 407 362 405 ## 1960 417 391 419 461 472 535 622 606 508 461 390 432 ``` --- # Heatmap ``` python import seaborn as sns sns.heatmap(fltab) ``` <img src="07SpatialData_files/figure-html/unnamed-chunk-14-13.png" width="60%" style="display: block; margin: auto;" /> --- # Correlation heatmap - With a moderate number of numerical variables we can compute the correlation of all pairs of variables. - These can be put into a matrix known as the correlation matrix. - This can also be shown in a heatmap. - We will do this some numerical variables from the taxis data --- # Data preparation ``` python taxisdat = sns.load_dataset('taxis') taxisnum = taxisdat[['distance','fare','tip','tolls','total']] taxiscor = taxisnum.corr() ``` --- # Correlation heatmap ``` python sns.heatmap(taxiscor) ``` <img src="07SpatialData_files/figure-html/unnamed-chunk-16-15.png" width="60%" style="display: block; margin: auto;" /> --- # With annotation ``` python sns.heatmap(taxiscor, annot = True) ``` <img src="07SpatialData_files/figure-html/unnamed-chunk-17-17.png" width="60%" style="display: block; margin: auto;" /> --- # Heatmaps - Heatmaps work best when the adjacent rows and columns are related. - This is why it works well for the flights example. - For a correlation heatmap, the row and column order is arbitrary. - It is better than looking at a correlation matrix. - However, something like a pairs plot shows more information about the relationships between variables. --- class: middle, center, inverse # Wrap-up --- # Conclusions - Spatial data can be used to create valuable visualisations. However - Think carefully about how population is distributed in geographic regions - Do not neglect other visualisation methods - Heatmaps are different to choropleths even if these two words are often confused. - Be aware of the strengths and weaknesses of heatmaps. --- class: middle, center, inverse # Questions