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Table 4 The reference data used to normalize the metrics according to Frare et al. [40,41,], Rodrigues and Franco [41], Hatakeyama [42], and equal weighting

From: Sustainability performance of rural municipalities in Germany

Indicator

Code

Description

[40]

[41]

[42]

Equal weight (\(w_i\))

Environmental

ENV1

Emission of greenhouse gases

–

0.369

0.69

0.0833

Environmental

ENV3

Total phosphorus input in flowing waters

–

0.369

0.61

0.0833

Energy

ENV4

Promotion of renewable energy sources

5.94

0.369

0.64

0.0833

Energy

ENV5

Economical and efficient use of energy sources

4.36

0.369

0.57

0.0833

Life quality

ENV6

Ambient air quality improvement

–

0.369

0.72

0.0833

Life quality

ENV7

Reduction of noise pollution

–

0.245

0.60

0.0833

Economic

ECO1

New business registrations

7.89

0.386

0.64

0.0833

Economic

ECO2

Reduction in income inequality

7.15

0.386

–

0.0833

Social

SOC1

Civic engagement

–

0.245

0.59

0.0833

Social

SOC2

Access to public transport

5.73

0.245

–

0.0833

Technological

TEC1

Access to public free WiFi

–

–

–

0.0833

Technological

TEC2

Access to high-speed Internet

–

–

–

0.0833