Spatial Autocorrelation: Local Moran's I
Local spatial autocorrelation, referring to the relationship between a value to its neighboring values in space, allows us to identify clusters and outliers. I explored my data using the Local Moran's I statistic. Local Moran's I identifies four types of geographic areas:
• Hot Spots (clusters)
Areas with high values being near other areas with high values
Census tracts with high trees per capita near other tracts with high trees per capita
• Cold Spots (clusters)
Areas with low values being near other areas with low values
Census tracts with low trees per capita near other tracts with low trees per capita
• Diamonds (outliers)
think of a diamond in the rough
An area with a high value being near areas with low values
A census tract with high trees per capita near tracts with low trees per capita
• Doughnuts (outliers)
think of the empty center of a delicious doughnut
An area with a low value being near areas with high values
A census tract with low trees per capita near tracts with high trees per capita
When working with Moran's I, every value has an impact on the results. Extreme high and low values can skew the overall dataset, so where you opt to draw the line for outliers can impact the final output and generate vastly different maps. In my data exploration, I attempted a variety of slightly varied outlier trims before landing on maps that I felt best represented the data. I first visualized spatial autocorrelation for all of New York City, but since the five boroughs vary greatly (it is hard to find many similarities between Manhattan and Staten Island, for example), I drilled down to look at each borough independently. In addition to the maps of clusters and outliers, I included three heat maps displaying population per square mile, tree count per square mile, and median household income. Although income was not included in my analysis, I found it informative to consider a snapshot of its distribution.