Background
Methods
Data sources and measures of outcome variables
Indicator | Description | Unit |
---|---|---|
Population density | Number of residents per km2 | n/km2 |
Distance to city hall | Airline distance to the city hall | m |
Old-age dependency ratio | Number of residents over 65 years per 100 residents aged 15–64 years | % |
Migrant quota | Quota of residents with migration background to all residents (migration background was defined as foreign citizenship or dual citizenship or background of parental foreign citizenship) |
n
|
Household size | Average number of residents per household |
n
|
Employment quota | Quota of employed residents subject to social insurance contribution to all residents aged 15–64 | % |
Unemployment quota | Quota of unemployed residents to all residents aged 15–64 | % |
Benefits recipients quota | Quota of unemployed residents aged 15–64 receiving state subsidy to all residents aged 15–64 | % |
Motorization rate | Number of privately used automobiles per 1000 residents |
n
|
Mortality | Number of deaths per 1000 residents |
n
|
Calculations and statistical analysis
Development of SES composite indices
-
r < |0.2|: no relevant correlation.
-
|0.2| ≤ r < |0.3|: weak correlation.
-
|0.3| ≤ r < |0.5|: mild correlation.
-
|0.5| ≤ r < |0.7|: strong correlation.
-
r ≥ |0.7|: very strong correlation.
Results
Metropolitan cities (number of districts) | Population | Population Density | FTE | |||
---|---|---|---|---|---|---|
∅ FTE/district | residents/FTE | PPR (SD) | Supply level | |||
(n) | (n/km2) | (n) | (n) | (n) | (%) | |
Berlin (n = 12) | 3,562,166 | 3995 | 198 | 1496 | 6.68 (1.07) | 120 |
Hamburg (n = 7) | 1,788,994 | 2369 | 176 | 1449 | 6.90 (0.80) | 118 |
Munich (n = 25) | 1,490,678 | 4797 | 43 | 1388 | 7.20 (7.78) | 122 |
Cologne (n = 9) | 1,053,528 | 2602 | 79 | 1486 | 6.73 (2.14) | 116 |
Frankfurt (n = 16) | 693,342 | 2792 | 28 | 1526 | 6.55 (2.37) | 119 |
Düsseldorf (n = 10) | 603,210 | 2784 | 40 | 1494 | 6.69 (2.10) | 115 |
Stuttgart (n = 23) | 592,898 | 2863 | 16 | 1594 | 6.27 (3.30) | 105 |
Dortmund (n = 12) | 589,283 | 2099 | 25 | 1955 | 5.12 (1.41) | 111 |
Essen (n = 9) | 576,691 | 2805 | 38 | 1700 | 5.88 (1.07) | 124 |
Leipzig (n = 10) | 551,870 | 1854 | 37 | 1512 | 6.61 (1.37) | 110 |
Bremen (n = 4) | 548,547 | 1726 | 74 | 1488 | 6.72 (3.31) | 112 |
Dresden (n = 10) | 541,304 | 1649 | 33 | 1619 | 6.18 (0.94) | 102 |
Hanover (n = 13) | 528,879 | 2591 | 27 | 1524 | 6.56 (2.65) | 113 |
Nuremberg (n = 10) | 516,770 | 2771 | 35 | 1474 | 6.78 (2.38) | 117 |
Results of PCA
Indicator | Index loading | Index coefficient | ||
---|---|---|---|---|
GDI | CEI | GDI | CEI | |
Population density |
−0.809
| 0.047 | −0.242 | −0.040 |
Distance to city hall |
0.909
| −0.044 | 0.273 | 0.049 |
Old-age dependency ratio |
0.742
| −0.192 | 0.212 | −0.018 |
Migrant quota | −0.225 |
0.860
| −0.007 | 0.301 |
Household size |
0.869
| 0.121 | 0.272 | 0.107 |
Unemployment quota | −0.058 |
0.962
| 0.051 | 0.350 |
Benefits recipients quota | 0.029 |
0.970
| 0.078 | 0.360 |
Motorization rate |
0.781
| −0.423 | 0.207 | −0.100 |
Correlation of area measures of SES and spatial distribution of FTE
Correlation analysis | Regression analysis | ||||
---|---|---|---|---|---|
r
| p-value | beta | p-value | ||
PPR | GDI |
−0.49
|
<0.001
| – | – |
CEI |
−0.22
|
0.005
| – | – | |
PRR | population density |
0.35
|
<0.001
| −0.11 | 0.244 |
distance to city hall |
−0.50
|
<0.001
|
−0.31
|
0.012
| |
old age dependency ratio |
−0.24
|
0.002
| 0.16 | 0.077 | |
migrant quota | −0.03 | 0.702 | – | – | |
household size |
−0.50
|
<0.001
|
−0.30
|
0.006
| |
employment quota | 0.01 | 0.880 | – | – | |
unemployment quota |
−0.20
|
0.011
| – | – | |
benefits recipients quota |
−0.24
|
0.002
|
−0.24
|
0.002
| |
motorization rate |
−0.32
|
<0.001
| −0.20 | 0.062 | |
mortality | −0.10 | 0.180 | – | – |