The Electoral Geography of
Exploratory Spatial Data Analyses (ESDA) of Protestant
Support for the Nazi Party[1]
John O’Loughlin
Department of Geography
Campus
Email: johno@colorado.edu
Acknowledgements
The research reported in this paper was supported by
grants from the Geography and Regional Science Program of the National Science
Foundation. Earlier versions of the
paper were presented at “New Methodologies for the Social Sciences” conference
at the
Abstract
For over half a century,
social scientists have probed the aggregate correlates of the vote for the Nazi
party (NSDAP) in
1 Introduction
Despite attempts to bridge the epistemological and
methodological gaps between the disciplines of geography and political science
recently, lack of awareness of developments in geographic techniques by
political scientists is still evident.[2] Some reasons can be proffered for this
neglect, not the least of which is the nature of the data deployed by political
methodologists in their analyses. Over
time, data collected from surveys of individuals have become the norm and,
partly because of difficulties of inference across levels, political scientists
have tended to eschew aggregate data collected for geographic units (King,
1997). The preponderance of
individual-level data is of relatively recent vintage. A classic
study of political behavior, V.O. Key’s
(1949) Southern Politics in State and
Nation, used aggregate electoral data, while Pollock’s (1944) study of Nazi
party electoral success pointedly relied on a geographical analysis of the
aggregate votes. King’s (1997)
ecological inference methodology was recently the subject of a forum in the
leading
The purpose of this paper,
using the example of voting for the Nazi party in
In examining the nature of
aggregate data distributions and possible causal relationships, it emphasizes
methods of exploratory spatial data analysis (ESDA – see Anselin, 1995), most
of which have been developed in the geographical sciences and are increasingly
available in specialized mapping and analyses software for the environmental
sciences. Despite the addition of
geographic modules to statistical software (such as the S-Plus module for ArcView GIS®), most of the users of such software seem to
be environmental scientists (geologists, physical geographers, biologists,
ecologists, engineers) interested in statistical data properties rather than
social scientists with a bent towards the examination of aggregate data. Though survey data suffice nicely for most
political topics, some research questions force the use of aggregate data. These include analysis of historical
political questions that predate the arrival of reliable survey data (including
the forces behind the electoral success of the Nazi party in Weimar Germany),
political behavior in countries without national-level survey data but with
acceptable census data (much of the world falls into this category), and
questions that focus on the context of political decisions, forcing a
consideration from the individual to the neighborhood and larger scales. Events
data in international relations, gathered for countries and sub-state units,
can also be analyzed using the spatial methodology (Murray et al;, 2002)
Spatial
autocorrelation is the most fundamental concept in geography and integrates the
growing set of spatial statistical approaches with the key elements of the
discipline. A
geographic truism, often known as the First Law of Geography (Tobler 1970, 236), states that “everything is related to
everything else but near things are more related than distant things.” Across all specialized branches of geography
and across all epistemological divides, spatial autocorrelation underpins
geographic assumptions, methods and results.
The (relative) order generated by spatial autocorrelative
processes, the distribution of phenomena on the earth’s surface has been well
documented in thousands of studies and simple observation, we know that
clustering of like objects, people and places is the norm.
Geostatistical methods are typically
configured for large samples and are used widely by environmental
scientists. In order to introduce these
methods to human geography, we need both larger datasets (many aggregate
geographic units, also called polygons) than those to which we are accustomed,
and a point sampling strategy. At a fine
scale of resolution, every spatial distribution is discontinuous. The main difference between geostatistics and spatial autocorrelation is that the
former deals with point sampling, usually on a grid, of a continuously geographic
phenomenon (like a forest), the latter deals with a division of a geographic
surface, thus producing an aggregation of geographic phenomena (Griffith and
Layne, 1999, 457). With a large number
of polygons, say approaching 1000 units, a centroidal
or some other point sampling strategy offers a reasonable approximation of a
continuous surface that can be modeled using geostatistical
methods, like kriging (a statistical interpolation
method that predicts values for unsampled locations
on a surface) and trend surface analysis (fitting a linear or polynomial trend
to a latitude, longitude and height surface).
In this paper, geostatistical methods are heavily used. Mantel correlation analysis (correlating distance and difference vectors)
and variography -the process of pattern
description and modeling using the variance of the difference between the
values at two locations- are used to help understand the distribution of the
Nazi party votes. Vector mapping (identifying
local directional trends) and directional spatial correlograms (summary
measures of association by major angles and distances) are added to the usual
tools of spatial autocorrelation analysis- Morans I
and G*i, measures of global and
local spatial association- and GIS mapping in this paper. Wombling analysis (identification of
statistically significant boundaries on a surface) is applied for the first
time to a political geographic problem.
2
Because of the use of methods based on point sampling,
a dataset with many cases is preferred for analysis, and ideally it should also
retain substantive interest. I chose the
example of voting in
Much
is known about the NSDAP vote from a variety of authors (Childers, 1983;
Falter, 1986, 1991; Kater, 1983; Küchler,
1992). Highly relevant to this paper,
researchers have generally concluded that the geographic pattern is highly
complex, with both strong local and regional elements, and that the correlation
between the vote and compositional factors (e.g. religion, class, occupation, gender) is relatively weak.
Until 1928, the NSDAP aimed its platform at blue-collar workers, but it
had unexpected success in rural areas.
Thereafter, the NSDAP targeted farmers, skilled workers, shopkeepers and
civil servants, following a lower-middle class strategy that was bolstered by
strong support for private property.
Rural areas of
For purposes of our earlier
work, we divide Weimar Germany into six regions based on historical and
cultural attachments; these regions overlap to some extent with the post-World
War II Federal Länder that also were predicated
on the notion of regional attachments.
The regional boundaries are shown in Figure 1. In this present paper, these regions are not
used as predictors, but reference is made to them in describing the map patterns
and in probing the map’s spatial structure.
The Nazi party took advantage of this regional mosaic by pushing a
variegated appeal that was modified from locale to locale depending on local
conditions (Heilbronner, 1998; Ault and Brustein, 1998; Brustein, 1990,
1996; Brustein and Falter, 1995; Kater,
1983; Stachura, 1980). The

Figure 1: The Six Historical-Cultural Regions of
Since the main purpose of
this paper is to describe and highlight the geographic elements in the support
for the NSDAP, I will analyze a series of votes between 1924 and 1933 but I
center the analysis on the 1930
The
key dependent variable for analysis is the percentage of the 1930 valid vote
received by the NSDAP in each of the spatial units. The distribution of the Nazi ratio of the
1930 vote is shown in Figure 2. While
the map makes regional and local clusterings evident,
it is lacking in wide bands of similar values.
In general, the distribution of strong Nazi party support corresponds to
the Protestant regions of the country, with largest values in
3
The NSDAP in
In this study I examine NSDAP
support in Germany using six analytical steps: a) global indicators of spatial
autocorrelation, b) distance and variance patterns, c) local indicators of
spatial association, d) directional spatial autocorrelation analysis, d) vector
mapping, and e) wombling (barrier identification). The percentage of the vote for the NSDAP is
used throughout this study since it allows comparison to previous works and, in
many ways it is the easiest indicator to both visualize and comprehend in the
spatial analysis. The general indicator
of the NSDAP vote is a conglomerate of the support of various constituencies
for the Nazi party. One of several key correlates of Nazi party support have
been identified in previous studies, I also use the ecological estimates for
NSDAP voter turnout and Protestant population support for the NSDAP. To estimate the ratio for the 743 geographic units,
I used the EzI version of the King program that does
not require the use of the Gauss program (EzI: A(n Easy) Program for
Ecological Inference by Kenneth Benoit and Gary King)
available from http://gking.harvard.edu/stats.shtml.

Figure 2: Distribution
(Quartiles) of the NSDAP 1930 Vote in Percentages
The EI (Ecological Inference) method has
gained a great deal of press and familiarity in political science since it was
first introduced by Gary King (1997).
King has promoted his ecological inference technique as a method that
allows disaggregation of the global (whole study
region) estimates to the individual units that comprise the aggregate.[4] These estimates can be mapped, as King (1997,
25) illustrates for the white turnout in the 1990
Using the EI methodology, I
am interested in whether the group of interest, the Nazi party, showed a
significant gain over its opponents in turning out its voters. Knowing the marginals
(votes for the NSDAP and non-NSDAP parties, the turnout and the eligible
voters), we can use EzI to estimate the NSDAP voter turnout using the
accounting identity (King’s notation):
Ti
= βibXi +
βiw (1-Xi), (1)
where Ti is the proportion of NSDAP
voters turning out to vote in each Kreisunit[5]; Xi is
the proportion of the voters that picked the NSDAP; 1-Xi is
the proportion of the vote for all other parties; βib
is the proportion of the NSDAP supporters that came to the polls; and βiw is the proportion of
non-NSDAP supporters who came to the polls.
The purpose of the EzI modeling is to estimate βb
(the aggregate turnout rate for Nazi voters for the whole country); one
can also get estimates for the individual counties and cities (Kreisunits), bib . Both Ti and Xi are known values, and βib
and βiw are the
unobservable parameters of interest to be estimated using King’s ecological
inference method. (Full
details are available in King, 1997). Two key indicators -the estimated
turnout of NSDAP voters and the estimated ratio of Protestants who voted for
the NSDAP- are spatially examined in this study.
Election Date
|
No. of Cases
|
Ezi Estimate
|
Mean Turnout
|
+/- to NSDAP*
|
May 1924
|
930
|
.616
|
.743
|
-.127
|
December 1924
|
927
|
.899
|
.767
|
+.132
|
1928
|
940
|
.860
|
.759
|
+.101
|
1930
|
916
|
.809
|
.811
|
-.002
|
July 1932
|
924
|
.903
|
.818
|
+.085
|
November 1932
|
911
|
.882
|
.782
|
+.100
|
1933
|
883
|
.808
|
.870
|
-.062
|
* Gain and loss to
the NSDAP calculated from the estimated NSDAP turnout compared to the mean
turnout. The number of spatial units
varies from election to election as a result of data availability in the Weimar
German file.
The key comparative data for
all Weimar Reichstag elections are shown in Table 1. The NSDAP voter turnout slipped below the
national average in only the first and last elections (May 1924 and 1933). During the year of the rapid party growth and
electoral surge, 1932, the turnout of NSDAP voters exceeded the national
average by 8.5% and 10%, significantly boosting the party fortunes. The methods by which the NSDAP managed to
activate its supporters are detailed in Brustein
(1996), Grill (1983) and
From
previous research, it is clear that the key compositional predictor of the
NSDAP vote in
EzI estimates indicate a
3.6% gain to the NSDAP from protestant voters in 1930, the breakthrough
election for the party. By the July 1932
election, the advantage had risen to 9.0%.
The advantage is calculated as the difference between the overall NSDAP
vote ratio of 18.3% and the EzI estimate of
Protestants voting for the NSDAP of 21.9%.
In 1932, the respective figures were 37.4% and 46.4%. Data presented in table 2, however, suggest
that German voting patterns were in fact quite complicated and that strong
regional attachments remained. The
comparisons to the national and regional means for the NSDAP clearly indicate
the variegated nature of the core relationship.
Table 2: Regional Pattern of EzI Estimates for
Protestant Ratio and NSDAP Vote 1930*
Region
|
Number
of Cases
|
EzI Estimate |
Protestant Ratio |
NSDAP 1930 Ratio |
Regional Gain/Loss |
National Gain/Loss |
|
|
193 |
.216 |
.786 |
.214 |
+.002 |
+.033 |
|
|
144 |
.203 |
.829 |
.199 |
+.004 |
+.020 |
|
|
74 |
.271 |
.837 |
.243 |
+.028 |
+.088 |
|
|
124 |
.211 |
.458 |
.155 |
+.056 |
+.028 |
|
|
150 |
.289 |
.270 |
.167 |
+.122 |
+.106 |
|
Baden-Württemburg |
58 |
.174 |
.549 |
.152 |
+.022 |
-.009 |
*The
mean national percentage for the NSDAP was 18.3% for a total number of cases of
743.
While caution is warranted for the
estimates from
The estimates for the 743 Kreisunits
are derived from simulations, using a number of random samples from the
distribution of values within the bounds of each Kreisunit
that are set by the marginal totals of the cross-tabulations for each (King,
1997). The geographic distribution of
these estimates for 1930
The comparative figure for the turnout of the Nazi party supporters
is the estimated national mean of .811.
Lowest values (below .75) are found in some of the regions of highest
party support (eastern East Prussia, Oldenburg and Schleswig-Holstein) as well
as in mostly Catholic or mixed religious regions in the West and South. Similarly, highest turnouts of Nazi party
voters are in

Figure 3: EzI Estimates of the Turnout of NSDAP Voters,
1930
4 Global Indicators of Spatial Association
In
spatial analysis, global summary measures of distributions are now as common as
statistical distribution measures that are typically presented in the social
sciences (Rogerson, 2000). The limitations of the usual mean and
variance statistics are evident when a simple choropleth
map of the distribution of the NSDAP vote shows regional clustering. Towards the goal of summarizing a geographic
distribution, the Morans I measure is now most
commonly presented, though there are alternative measures of spatial patterns
(see Cliff and Ord, 1981; Bailey and Gatrell, 1995).

Figure 4: EzI
Estimates of Protestant Support for the NSDAP, 1930
Morans I is
derived from:
I = (N/So)