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Table 1. Effect of policy changes on weekend night-time alcohol-related ambulance call-outs in Aberdeen and Glasgow
Primary outcome,
weekend night-time
alcohol-related
ambulance callouts
Main analysis Sensitivity analysis Synthetic control
Outcome: number of incidents
Restricted time series only before
COVID-19 restrictions, (outcome:
number of incidents)
Outcome: population adjusted
incident rates
Outcome:
population
adjusted incident
rates
Coefficient
P-
value 95% CI Coefficient
P-
value 95% CI Coefficient
P-
value 95% CI Coefficient
P-
value
Intervention area: Aberdeen
Staggered policy
covariate
Policy effect (all
covariates) 5·824 0·002 2·225, 9·423 4·641 0·037 0·279, 9·002 0·140 <0·001 0·071, 0·209
0·103 0·222 Policy effect
(significant covariates) 7·061 <0·001 3·902, 10·220 4·643 0·036 0·292, 8·994 0·130 <0·001 0·061, 0·198
Dummy policy
covariate, sensitivity
analysis
Policy effect (all
covariates) 2·898 0·056 -0·078, 5·873 2·486 0·101 -0·483, 5·455 0·119
<0·001 0·052, 0·185 0·140 0·185 Policy effect
(significant covariates) 2·970 0·051 -0·014, 5·955 2·565 0·098 -0·470, 5·599 0·126
<0·001 0·072, 0·180
Dummy policy
covariate with policy
implemented with at
least half strength,
sensitivity analysis
Policy effect (all
covariates) 3·145 0·041 0·136, 6·154 2·018 0·243 -1·369, 5·406 0·088 0·007 0·024, 0·152 - -
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Policy effect
(significant covariates) 4·473 0·001 1·846, 7·100 1·744 0·305 -1·585, 5·072 0·080 0·011 0·018, 0·142 - -
Intervention area: Glasgow
Dummy policy
covariate
Policy effect (all
covariates) -4·016 0·050 -8·027, -0·005 -2·307 0·329 -6·942, 2·329 -0·057 0·064 -0·116, 0·003 0·012 0·926 Policy effect
(significant covariates) -5·110 <0·001 -7·491, -2·730 -2·951 0·096 -6·423, 0·520 -0·045 0·018 -0·081, -0·008
*Effect size for synthetic control adjusted by the covariates, number of on-premises alcohol outlets (population adjusted), and per capita gross disposable household
income
Table 2. Effect of policy changes on weekend recorded crimes in Aberdeen and Glasgow
Secondary outcome,
weekend night-time
recorded crimes
Main analysis Sensitivity analysis
Synthetic
control
Outcome: number of incidents
Restricted time series only before
COVID-19 restrictions, (outcome:
number of incidents)
Outcome: population adjusted
incident rates
Outcome:
population
adjusted incident
rates
Coefficient P-
value 95% CI Coefficient P-
value 95% CI Coefficient P-
value 95% CI Coefficient P-
value
Intervention area: Aberdeen
Staggered policy
covariate
Policy effect (all
covariates) 5·770 0·072 -0·514, 12·055 4·596 0·218 -2·722, 11·914 -0·003 0·973 -0·194, 0·187 0·022 0·333 Policy effect (significant
covariates) 3·187 0·017 0·564, 5·810 3·442 0·035 0·239, 6·645 0·057 0·092 -0·009, 0·124
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Dummy policy covariate,
sensitivity analysis
Policy effect (all
covariates) -1·551 0·388 -5·072, 1·969 -1·459 0·455 -5·286, 2·368 -0·036 0·593 -0·168, 0·096 0·028 0·370 Policy effect (significant
covariates) 0·960 0·398 -1·269, 3·190 1·192 0·283 -0·985, 3·368 0·039 0·273 -0·031, 0·110
Dummy policy covariate
with policy implemented
with at least half
strength, sensitivity
analysis
Policy effect (all
covariates) 4·020 0·005 1·190, 6·850 3·205 0·029 0·332, 6·078 0·154 0·009 0·039, 0·270 - -
Policy effect (significant
covariates) 3·350 0·001 1·304, 5·395 3·245 0·003 1·128, 5·361 0·154 0·009 0·039, 0·270 - -
Intervention area: Glasgow
Dummy policy covariate
Policy effect (all
covariates) -4·389 0·117 -9·877, 1·098 -0·229 0·873 -3·037, 2·579 -0·072 0·068 -0·149, 0·005 0·148 0·519 Policy effect (significant
covariates) -2·734 0·273 -7·623, 2·155 -0·403 0·779 -3·224, 2·418 -0·072 0·067 -0·149, 0·005
*Effect size for synthetic control adjusted by the covariates, number of on-premises alcohol outlets (population adjusted), and per capita gross disposable household
income
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* Dots represent weekly data; solid lines represent 8-week moving averages; vertical dashed line represents
start of intervention
Figure 1: Number of weekend night-time alcohol-related ambulance call-outs and reported
crimes over-time in the intervention and control cities
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Figure 2. Distribution of weekend night-time alcohol-related ambulance call-out and reported
crimes in Aberdeen and Glasgow
* Dots represent weekly data; solid lines represent 8-week moving averages; vertical dashed line represents
start of intervention
Figure 3: Rate of weekend night-time alcohol-related ambulance call-outs and reported crimes
in Aberdeen, Glasgow and synthetic Aberdeen and synthetic Glasgow.
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Appendix
Contents
Appendix 1: Control selection process ................................ ................................ ..... 33
Appendix 1.1. Alcohol-related ambulance call-outs ................................ ............... 34
Appendix 1.2. Reported crimes ................................ ................................ ............ 36
Appendix 2: Analysis ................................ ................................ .............................. 40
Appendix 2.1. Descriptive analysis ................................ ................................ ....... 40
Appendix 2.2. Description of confounding variables ................................ .............. 45
Appendix 2.2.1. Data sources for confounding variables................................ ....... 45
Appendix 2.3. Secondary and Sub-group analysis ................................ ................. 46
Appendix 2.4: Falsification test ................................ ................................ ............ 54
Appendix 3. Synthetic control ................................ ................................ ................. 59
Appendix 3.1. Alcohol-related ambulance call-outs (Aberdeen) .............................. 59
Appendix 3.1.1. Model specification and validation test ................................ ........ 59
Appendix 3.1.2. Main analysis and sensitivity tests ................................ ............... 59
Appendix 3.2. Alcohol-related ambulance call-outs (Glasgow)................................ 66
Appendix 3.2.1. Model specification and validation test ................................ ........ 66
Appendix 3.2.2. Main analysis and sensitivity tests ................................ ............... 66
Appendix 3.3. Reported crimes (Aberdeen) ................................ .......................... 72
Appendix 3.3.1. Model specification and validation test ................................ ........ 72
Appendix 3.3.2. Main analysis and sensitivity tests ................................ ............... 72
Appendix 3.4. Reported crimes (Glasgow) ................................ ............................ 79
Appendix 3.4.1. Model specification and validation test ................................ ........ 79
Appendix 3.4.2. Main analysis and sensitivity tests ................................ ............... 79
Appendix 4. Synthetic control and ARIMA ................................ .............................. 86
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Appendix 1: Control selection process and study design
Figure A1: Flow diagram for the control selection procedure
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Appendix 1.1. Alcohol-related ambulance call-outs
In step 1, we tested the parallel trend assumption both graphically and statistically for 30 potential
Scottish cities/council areas, excluding Aberdeen and Glasgow. We estimated the slope coefficients
for Aberdeen and Glasgow against each of the 30 potential control candidates, using data from the
pre-intervention periods only. Any control candidate with a statistically significant slope coefficient,
indicating a statistically significant difference in trends from Aberdeen or Glasgow, was excluded. As
a result, Stirling was excluded as a control for Aberdeen, while Angus, Argyll and Bute, Dundee, East
Ayrshire, Highland, Perth and Kinross, Scottish Borders, and Stirling were excluded as controls for
Glasgow.
In step 2, we reviewed the licensing policies of the remaining potential control cities/councils and
excluded those with similar extended premises hours policies to Aberdeen or Glasgow. Additionally,
we removed candidates whose population-adjusted density of on-premises alcohol outlets was more
than one standard deviation above or below the densities of the intervention areas (Aberdeen and
Glasgow).
In step 3, we computed the mean squared prediction errors (MSPEs) for all remaining control
candidates. The MSPE represents the mean squared differences between the intervention areas
(Aberdeen/Glasgow) and the potential control candidates during the pre-intervention periods. For
Aberdeen, the candidates with the lowest MSPEs were Edinburgh, Fife, and North Lanarkshire, while
for Glasgow, Edinburgh had the lowest MSPE. Ultimately, Edinburgh was chosen as the control for
both Aberdeen and Glasgow. For Aberdeen, this decision was informed by Edinburgh’s significant
contribution in synthetic control analysis compared to Fife and North Lanarkshire, alongside our a
priori decision to use Edinburgh as a control.
Step 1: Testing parallel trend assumptions graphically and statistically
Parallel trend assumption test: Ambulance call-outs (based on rate)
Council name Aberdeen Glasgow
Slope P-value Slope P-value
Aberdeenshire -0·0009 0·268 -0·0001 0·763
Angus -0·0002 0·826 -0·0006 0·049
Argyll and Bute -0·0022 0·054 -0·0016 <0·001
City of Edinburgh -0·0017 0·061 0·0003 0·248
Clackmannanshire -0·0009 0·554 -0·0006 0·240
Dumfries and Galloway -0·0007 0·468 -0·0004 0·191
Dundee City -0·0007 0·514 -0·0009 0·010
East Ayrshire -0·0014 0·169 -0·0009 0·010
East Dunbartonshire -0·0011 0·258 0·0004 0·097
East Lothian 0·0003 0·760 0·0000 0·913
East Renfrewshire -0·0019 0·050 -0·0002 0·384
Falkirk 0·0003 0·803 -0·0003 0·319
Fife -0·0007 0·389 -0·0003 0·186
Highland 0·0006 0·469 -0·0006 0·007
Inverclyde 0·0013 0·321 0·0005 0·219
Midlothian -0·0005 0·639 -0·0001 0·847
Moray -0·0006 0·612 -0·0007 0·055
North Ayrshire 0·0004 0·757 0·0004 0·221
North Lanarkshire 0·0000 0·989 0·0003 0·286
Orkney Islands 0·0003 0·825 0·0005 0·307
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Perth and Kinross -0·0014 0·169 0·0007 0·009
Renfrewshire 0·0001 0·925 0·0003 0·325
Scottish Borders -0·0018 0·095 0·0012 0·001
Shetland Islands -0·0008 0·587 -0·0002 0·718
South Ayrshire -0·0005 0·688 -0·0004 0·186
South Lanarkshire -0·0013 0·195 -0·0002 0·536
Stirling -0·0026 0·019 -0·0008 0·017
West Dunbartonshire 0·0014 0·246 -0·0003 0·477
West Lothian 0·0001 0·912 -0·0001 0·620
Western Isles - Eilean Siar -0·0001 0·945 -0·0008 0·090
Step 2: Assess qualitatively and quantitatively the councils/cities that passed parallel test
assumption at Step 1
Potential control candidates that satisfied parallel trend assumption
Aberdeen (no. of on sale licenses, 432; density per
1000 population, 1·90 (SD 0·87))
Glasgow (no. of on sale licenses, 1352; density per
1000 population, 2·13 (SD 0·85))
Council name
Number
of on
sale
licenses,
2022
Density
per 1000
population
Council name
Number
of on
sale
licenses,
2022
Density
per 1000
population
Aberdeenshire 370 1·40 Aberdeenshire** 370 1·40
Angus 246 2·12 City of Edinburgh 1467 2·75
Argyll and Bute** 451 5·35 Clackmannanshire* 76 1·48
City of Edinburgh 1467 2·75 Dumfries and Galloway** 456 3·10
Clackmannanshire* 76 1·48 East Dunbartonshire* 119 1·08
Dumfries and Galloway** 456 3·10 East Lothian 213 1·95
Dundee City 307 2·07 East Renfrewshire** 118 1·21
East Ayrshire 181 1·49 Falkirk** 199 1·22
East Dunbartonshire* 119 1·08 Fife 681 1·83
East Lothian 213 1·95 Inverclyde 125 1·64
East Renfrewshire 118 1·21 Midlothian 132 1·37
Falkirk 199 1·22 Moray 262 2·74
Fife 681 1·83 North Ayrshire 255 1·91
Highland** 922 3·90 North Lanarkshire** 394 1·16
Inverclyde 125 1·64 Orkney Islands 66 2·96
Midlothian 132 1·37 Renfrewshire 279 1·55
Moray 262 2·74 Shetland Islands** 104 4·53
North Ayrshire 255 1·91 South Ayrshire 271 2·42
North Lanarkshire 394 1·16 South Lanarkshire* 457 1·42
Orkney Islands** 66 2·96 West Dunbartonshire 140 1·58
Perth and Kinross** 436 2·86 West Lothian** 211 1·13
Renfrewshire 279 1·55 Western Isles - Eilean Siar 67 2·56
Scottish Borders** 343 2·96
Shetland Islands** 104 4·53
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South Ayrshire 271 2·42
South Lanarkshire* 457 1·42
West Dunbartonshire 140 1·58
West Lothian 211 1·13
Western Isles - Eilean Siar 67 2·56
*Excluded due to extension of alcohol premises hours
**Excluded if density of on-sale premises, ± 1 SD that of Aberdeen and Glasgow
Step 3: Calculate mean square prediction error based on pre-intervention data to choose control
candidate based on lowest value
Potential control candidates satisfied parallel trend assumption and passed
qualitative and quantitative assessment
Intervention: Aberdeen Intervention: Glasgow
Council name
Mean
squared
prediction
error
(MSPE)
Council name
Mean
squared
prediction
error (MSPE)
Aberdeenshire 0·23 City of Edinburgh 0·07
Angus 0·14 East Lothian 0·29
City of Edinburgh 0·07 Fife 0·13
Dundee City 0·10 Inverclyde 0·16
East Ayrshire 0·11 Midlothian 0·20
East Lothian 0·16 Moray 0·24
East Renfrewshire 0·28 North Ayrshire 0·11
Falkirk 0·11 Orkney Islands 0·63
Fife 0·07 Renfrewshire 0·13
Inverclyde 0·14 South Ayrshire 0·16
Midlothian 0·12 West Dunbartonshire 0·16
Moray 0·16
Western Isles - Eilean
Siar 0·45
North Ayrshire 0·12
North Lanarkshire 0·07
Renfrewshire 0·08
South Ayrshire 0·13
West Dunbartonshire 0·12
West Lothian 0·12
Western Isles - Eilean Siar 0·31
Appendix 1.2. Reported crimes
In step 1, for reported crimes, Shetland Islands was excluded as a control for Aberdeen, while
Aberdeenshire, East Dunbartonshire, East Lothian, East Renfrewshire, Highland, North Lanarkshire,
South Ayrshire, and South Lanarkshire were excluded as controls for Glasgow.
In step 2, Argyll and Bute, Clackmannanshire, Dumfries and Galloway, East Dunbartonshire,
Highland, Orkney Islands, Perth and Kinross, Scottish Borders, South Lanarkshire, and Stirling
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37
excluded as controls for Aberdeen. Similarly, for Glasgow, Argyll and Bute, Clackmannanshire,
Dumfries and Galloway, Falkirk, Orkney Islands, Perth and Kinross, Scottish Borders, Shetland
Islands, and West Lothian were excluded.
In step 3, Edinburgh was chosen as the control for both Aberdeen and Glasgow for reported crimes
based on the lowest MSPEs among the surviving control candidates.
Step 1: Testing parallel trend assumptions graphically and statistically
Parallel trend assumption test: Police call-outs (based on rate)
Council name Aberdeen Glasgow
Slope P-value Slope P-value
Aberdeenshire 0·0000 0·973 -0·0008 0·012
Angus -0·0015 0·289 -0·0003 0·495
Argyll and Bute -0·0003 0·866 -0·0009 0·078
City of Edinburgh 0·0006 0·558 -0·0002 0·538
Clackmannanshire 0·0007 0·665 -0·0002 0·695
Dumfries and Galloway 0·0004 0·757 -0·0006 0·163
Dundee City -0·0002 0·899 0·0001 0·772
East Ayrshire -0·0019 0·168 0·0001 0·851
East Dunbartonshire -0·0008 0·514 -0·0011 0·001
East Lothian -0·0001 0·924 -0·0011 0·007
East Renfrewshire -0·0010 0·461 -0·0007 0·034
Falkirk 0·0012 0·414 -0·0007 0·061
Fife 0·0005 0·643 -0·0002 0·505
Highland 0·0024 0·081 0·0007 0·042
Inverclyde -0·0002 0·911 -0·0009 0·070
Midlothian 0·0011 0·492 -0·0005 0·210
Moray 0·0003 0·837 -0·0005 0·305
North Ayrshire 0·0008 0·512 0·0003 0·428
North Lanarkshire -0·0006 0·562 -0·0009 0·001
Orkney Islands 0·0024 0·369 -0·0007 0·349
Perth and Kinross 0·0002 0·878 -0·0005 0·118
Renfrewshire 0·0002 0·834 -0·0007 0·079
Scottish Borders 0·0004 0·758 -0·0006 0·075
Shetland Islands 0·0067 0·009 0·0012 0·101
South Ayrshire 0·0009 0·569 -0·0008 0·035
South Lanarkshire 0·0000 0·971 -0·0008 0·005
Stirling 0·0012 0·433 -0·0001 0·809
West Dunbartonshire 0·0022 0·207 -0·0002 0·687
West Lothian 0·0002 0·868 -0·0005 0·106
Western Isles - Eilean Siar 0·0036 0·063 -0·0006 0·325
Step 2: Assess qualitatively and quantitatively to the councils/cities passed parallel test
assumption
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Potential control candidates satisfied parallel trend assumption
Aberdeen (no. of on sale licenses, 432; density per
1000 population, 1·90 (SD 0·87))
Glasgow (no. of on sale licenses, 1352; density per 1000
population, 2·13 (SD 0·85))
Council name
Number of
on sale
licenses,
2022
Council
name
Number of on sale
licenses, 2022 Council name
Number of
on sale
licenses,
2022
Aberdeenshire 370 1·40 Angus 246 2·12
Angus 246 2·12 Argyll and Bute** 451 5·35
Argyll and Bute** 451 5·35 City of Edinburgh 1467 2·75
City of Edinburgh 1467 2·75 Clackmannanshire* 76 1·48
Clackmannanshire* 76 1·48 Dumfries and Galloway** 456 3·10
Dumfries and Galloway** 456 3·10 Dundee City 307 2·07
Dundee City 307 2·07 East Ayrshire 181 1·49
East Ayrshire 181 1·49 Falkirk** 199 1·22
East Dunbartonshire* 119 1·08 Fife 681 1·83
East Lothian 213 1·95 Inverclyde 125 1·64
East Renfrewshire 118 1·21 Midlothian 132 1·37
Falkirk 199 1·22 Moray 262 2·74
Fife 681 1·83 North Ayrshire 255 1·91
Highland** 922 3·90 Orkney Islands** 66 2·96
Inverclyde 125 1·64 Perth and Kinross* 436 2·86
Midlothian 132 1·37 Renfrewshire 279 1·55
Moray 262 2·74 Scottish Borders** 343 2·96
North Ayrshire 255 1·91 Shetland Islands** 104 4·53
North Lanarkshire 394 1·16 Stirling 273 2·84
Orkney Islands** 66 2·96 West Dunbartonshire 140 1·58
Perth and Kinross* 436 2·86 West Lothian** 211 1·13
Renfrewshire 279 1·55 Western Isles - Eilean Siar 67 2·56
Scottish Borders** 343 2·96
South Ayrshire 271 2·42
South Lanarkshire* 457 1·42
Stirling** 273 2·84
West Dunbartonshire 140 1·58
West Lothian 211 1·13
Western Isles - Eilean Siar 67 2·56
*Excluded due to extension of alcohol premises hours
**Excluded if density of on-sale premises, ± 1 SD that of Aberdeen and Glasgow
Step 3: Calculate mean square prediction error based on pre-intervention data to choose control
candidate based on lowest value.
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Potential control candidates satisfied parallel trend assumption and passed
qualitative and quantitative assessment
Council name
Mean
squared
prediction
error
(MSPE)
Council name
Mean
squared
prediction
error
(MSPE)
Aberdeenshire 0·26 Angus 0·23
Angus 0·19 City of Edinburgh 0·09
City of Edinburgh 0·09 Dundee City 0·12
Dundee City 0·15 East Ayrshire 0·25
East Ayrshire 0·19 Fife 0·16
East Lothian 0·37 Inverclyde 0·34
East Renfrewshire 0·50 Midlothian 0·28
Falkirk 0·18 Moray 0·24
Fife 0·13 North Ayrshire 0·19
Inverclyde 0·31 Orkney Islands 0·63
Midlothian 0·26 Renfrewshire 0·22
Moray 0·20 Scottish Borders 0·36
North Ayrshire 0·15 Stirling 0·32
North Lanarkshire 0·15 West Dunbartonshire 0·23
Renfrewshire 0·16 Western Isles - Eilean Siar 0·67
South Ayrshire 0·26
West Dunbartonshire 0·27
West Lothian 0·13
Western Isles - Eilean Siar 0·57
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Appendix 2: Analysis
Appendix 2.1. Descriptive analysis
Table A1. Total number of weekend night-time alcohol-
related ambulance call-outs and reported crimes by
Scottish cities from 1 May 2015 to 31 July 2022
Scottish cities
Alcohol-related
ambulance call-
outs
Reported
crimes
Aberdeen City 6,461 5,927
Aberdeenshire 3,399 3,655
Angus 2,294 2,358
Argyll & Bute 1,897 1,767
City of Edinburgh 13,781 12,268
Clackmannanshire 1,399 1,172
Dumfries & Galloway 3,104 3,636
Dundee City 4,483 4,595
East Ayrshire 2,609 2,269
East Dunbartonshire 1,271 1,047
East Lothian 1,792 1,434
East Renfrewshire 1,015 781
Eilean Siar 402 334
Falkirk 3,824 3,680
Fife 8,754 7,900
Glasgow City 19,956 20,038
Highland 5,026 4,665
Inverclyde 1,902 1,457
Midlothian 1,937 1,768
Moray 1,937 2,005
North Ayrshire 3,786 2,888
North Lanarkshire 8,216 6,906
Orkney Islands 252 287
Perth & Kinross 2,892 2,247
Renfrewshire 4,189 3,624
Scottish Borders 2,608 1,989
Shetland Islands 350 307
South Ayrshire 2,748 2,198
South Lanarkshire 6,932 5,580
Stirling 2,003 1,656
West Dunbartonshire 2,331 1,853
West Lothian 4,085 3,536
Total 127,635 115,827
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Table A2. Age, sex and socio-economic deprivation* distribution of patients in
alcohol-related ambulance call-outs at the weekend night-time
Patient characteristics
Aberdeen,
n(%)
Glasgow,
n(%)
Edinburgh,
n(%)
Age group (years)
< 25 1,786 (27·64) 4,609 (23·1) 3,954 (28·69)
25-34 1,136 (17·58) 3,531 (17·69) 2,366 (17·17)
35-44 849 (13·14) 2,827 (14·17) 1,671 (12·13)
45+ 2,190 (33·9) 7,588 (38·02) 4,828 (35·03)
Unknown 500 (7·74) 1,401 (7·02) 962 (6·98)
Gender
Female 2,649 (41·00) 7,300 (36·58) 5,655 (41·03)
Male 3,576 (55·35)
11,892
(59·59) 7,663 (55·61)
Others - 3 (0·02) 4 (0·03)
Unknown 236 (3·65) 761 (3·81) 459 (3·33)
Socio-economic
deprivation
1 (most deprived) 111 (1·72) 7,385 (37·01) 1,189 (8·63)
2 580 (8·98) 2,868 (14·37) 1,311 (9·51)
3 1,012 (15·66) 1,492 (7·48) 1,141 (8·28)
4 600 (9·29) 1,278 (6·40) 1,852 (13·44)
5 1,387 (21·47) 1,342 (6·72) 1,826 (13·25)
6 624 (9·66) 2,447 (12·26) 1,467 (10·65)
7 627 (9·70) 601 (3·01) 914 (6·63)
8 431 (6·67) 1,655 (8·29) 1,422 (10·32)
9 423 (6·55) 619 (3·1) 795 (5·77)
10 (less deprived) 666 (10·31) 269 (1·35) 1,864 (13·53)
Total 6,461 19,956 13,781
*Socio-economic deprivation score is based on the postcode of the incident location
Table A3. Summary of weekend night-time alcohol-related ambulance call-outs by cities
City Year Minimum Maximum Mean SD Median IQR Total
Interventions Aberdeen
2015 10 36 18 5 18 7 636
2016 4 26 15 5 16 7 800
2017 9 32 19 5 19 8 997
2018 9 36 20 5 20 6 1,042
2019 9 37 21 6 20 8 1,066
2020 4 26 15 5 14 6 763
2021 5 25 14 5 15 7 752
2022 1 25 14 5 14 6 405
Total 1 37 17 6 17 8 6,461
Glasgow
2015 42 89 59 9 58 12 2,069
2016 33 78 55 10 56 16 2,878
2017 35 85 60 10 60 13 3,143
2018 37 92 64 10 63 12 3,312
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2019 38 78 59 9 58 13 3,063
2020 22 62 41 9 42 14 2,154
2021 21 62 40 11 40 14 2,067
2022 1 58 42 14 45 15 1,270
Total 1 92 53 14 54 17 19,956
Control
Edinburgh
2015 25 61 40 10 38 16 1,413
2016 24 63 41 9 38 12 2,115
2017 27 57 41 7 40 10 2,124
2018 26 70 42 8 41 9 2,207
2019 20 59 41 8 42 9 2,151
2020 14 54 29 8 28 11 1,485
2021 11 48 27 8 28 13 1,423
2022 2 44 30 8 30 8 863
Total 2 70 37 10 36 13 13,781
Table A4· Total number of weekend night-time reported crimes according to crime types from 1 May 2015 to
31 July 2022
Type of reported crimes Aberdeen,
n(%)
Glasgow,
n(%)
Edinburgh,
n(%)
Common Assault 4,172 (70·39) 13,702 (68·38) 9,493 (77·38)
Common assault of an emergency worker 765 (12·91) 3,091 (15·43) 1,135 (9·25)
Consuming outwith permitted hours - - 4 (0·03)
Culpable and reckless, causing injury 3 (0·05) 13 (0·06) 9 (0·07)
Disorderly on licensed premises 104 (1·75) 200 (1) 60 (0·49)
Drunk and Incapable 5 (0·08) 294 (1·47) 99 (0·81)
Drunk and attempting to enter licensed premises 22 (0·37) 24 (0·12) 5 (0·04)
Drunk in charge of a child 5 (0·08) 24 (0·12) 6 (0·05)
Drunk in or attempting to enter designated sports ground 1 (0·02) 2 (0·01) -
Licensed person, employee or agent drunk in licensed premise 1 (0·02) 3 (0·01) 6 (0·05)
Licensed persons, other offences 2 (0·03) 9 (0·04) 5 (0·04)
Liquor licensing laws, other offences - 8 (0·04) -
Person under 18 buying excisable liquor in bar - - 2 (0·02)
Permitting riotous behaviour in licensed premise - 7 (0·03) -
Purchasing excise liquor for consumption by person under 18 1 (0·02) - -
Refusing to quit a licensed premise 207 (3·49) 335 (1·67) 205 (1·67)
Robbery 131 (2·21) 408 (2·04) 306 (2·49)
Sale of drink to person under 18 - 7 (0·03) -
Serious Assault 474 (8) 1,841 (9·19) 858 (6·99)
Sports grounds offences possessing alcohol 1 (0·02) 9 (0·04) 2 (0·02)
Threats and Extortion 33 (0·56) 61 (0·3) 73 (0·6)
Total reported crimes 5,927 20,038 12,268
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Table A5. Summary of weekend night-time reported crimes by cities
City Year Minimum Maximum Mean SD Median IQR Total
Interventions Aberdeen
2015 10 42 21 7 20 8 748
2016 7 30 19 7 19 13 984
2017 7 54 19 8 17 9 972
2018 4 37 14 6 12 6 722
2019 5 33 16 6 16 7 845
2020 1 37 10 6 10 6 512
2021 1 33 13 7 12 10 694
2022 7 32 15 6 13 9 450
Total 1 54 16 8 15 10 5,927
Glasgow
2015 43 108 66 13 64 16 2,305
2016 28 90 60 14 61 14 3,118
2017 37 174 62 19 57 16 3,201
2018 33 86 53 10 52 13 2,760
2019 29 78 54 10 55 11 2,810
2020 12 72 37 14 33 17.5 1,912
2021 23 77 45 15 42.5 22.5 2,321
2022 21 74 52 13 48 17 1,611
Total 12 174 53 16 54 20 20,038
Control
Edinburgh
2015 23 83 44 12 42 13 1,536
2016 18 63 38 8 38 9 1,974
2017 24 107 38 12 36 12 1,992
2018 16 62 36 9 35 11 1,856
2019 18 53 32 7 32 9 1,660
2020 8 60 22 10 20 13 1,135
2021 10 52 25 10 24 15 1,292
2022 10 39 27 7 26 10 823
Total 8 107 32 12 33 14 12,268
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Figure A2. Distribution of weekend night-time alcohol-related ambulance call-out and reported
crimes in Edinburgh
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Figure A3: Differences (intervention city minus (-) control city) of number of weekend night-
time alcohol-related ambulance call-outs and reported crimes over-time between intervention
and control cities
Appendix 2.2. Description of confounding variables
We included several confounding variables in our model, such as per capita gross disposable
household income, weather conditions (mean temperature and rainfall), and the total number of on-
premises alcohol outlets. These variables were incorporated as differences between the intervention
and control areas (e.g., number of on-premises outlets in Aberdeen minus the number in Edinburgh).
Additionally, we adjusted for dummy variables representing COVID-19 restrictions, public holidays,
and outliers. These dummy variables were binary, taking the value “1” to indicate the presence of a
restriction, holiday, or outlier, and “0” to indicate their absence. Public holiday data were extracted
separately for each Scottish city. Outliers were defined as data points that fell more than 1.5 times the
interquartile range above the upper quartile or below the lower quartile. To account for COVID-19
restrictions, we used city-specific lockdown policies based on the type of premises, as issued by the
Scottish Government. While restrictions on bars, clubs, and nightclubs were implemented
simultaneously across Scotland on 21st March 2020, those affecting nightclubs remained in place for
a longer period compared to bars and pubs. We also included a time trend variable in the model to
account for temporal effects, if it was statistically significant.
Appendix 2.2.1. Data sources for confounding variables
1. Per capita gross disposable household income [34]
2. Weather conditions (mean temperature, rainfall) [35]
3. Number of on-premises alcohol outlets [36]
4. COVID-19 lockdown (imposing closure or restricted hours for alcohol-premises) [37]
5. Public holidays [38]
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Appendix 2.3. Secondary and Sub-group analysis
Table A6. Effect of policy changes on weekend restricted night-time (24:00 to 05:59) alcohol-related ambulance call-outs in Aberdeen and Glasgow
Primary outcome, weekend restricted
night-time (24:00 to 05:59) alcohol-
related ambulance call-outs
Main analysis Sensitivity analysis
Outcome: number of incidents
Restricted time series only before
COVID-19 restrictions, (outcome:
number of incidents)
Outcome: population adjusted
incident rates
Coefficient
P-
value 95% CI Coefficient
P-
value 95% CI Coefficient
P-
value 95% CI
Intervention area: Aberdeen
Staggered policy covariate
Policy effect (all covariates) 3·674 <0·001 1·796, 5·552 3·805 0·035 0·267, 7·343 0·139 0·179 -0·064, 0·343
Policy effect (significant covariates) 4·418 <0·001 2·868, 5·969 3·970 0·021 0·609, 7·331 0·071 0·024 0·009, 0·134
Dummy policy covariate, sensitivity
analysis
Policy effect (all covariates) 3·755 0·013 0·780, 6·731 2·950 0·070 -0·235, 6·136 0·099 0·104 -0·021, 0·219
Policy effect (significant covariates) 3·726 0·014 0·753, 6·700 2·140 0·316 -2·041, 6·322 0·080 0·003 0·027, 0·134
Dummy policy covariate with policy
implemented with at least half
strength, sensitivity analysis
Policy effect (all covariates) 2·482 0·068 -0·179, 5·143 2·286 0·103 -0·459, 5·031 0·029 0·554 -0·067, 0·125
Policy effect (significant covariates) 3·261 <0·001 1·857, 4·666 2·352 0·068 -0·172, 4·875 0·046 0·106 -0·010, 0·101
Intervention area: Glasgow
Dummy policy covariate
Policy effect (all covariates) -0·996 0·453 -3·600, 1·608 1·865 0·221 -1·119, 4·849 -0·010 0·577 -0·043, 0·024
Policy effect (significant covariates) -1·269 0·139 -2·947, 0·410 2·183 0·070 -0·180, 4·546 -0·001 0·920 -0·024, 0·022
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Table A7. Effect of policy changes on weekend restricted night-time (20:00 to 23:59) alcohol-related ambulance call-outs in Aberdeen and Glasgow
Primary outcome, weekend restricted
night-time (20:00 to 23:59) alcohol-
related ambulance call-outs
Main analysis Sensitivity analysis
Outcome: number of incidents
Restricted time series only before
COVID-19 restrictions, (outcome:
number of incidents)
Outcome: population adjusted
incident rates
Coefficient
P-
value 95% CI Coefficient
P-
value 95% CI Coefficient
P-
value 95% CI
Intervention area: Aberdeen
Staggered policy covariate
Policy effect (all covariates) 1·716 0·041 0·072, 3·360 0·497 0·631 -1·528, 2·521 0·117 0·044 0·003, 0·231
Policy effect (significant covariates) 2·408 0·001 1·000, 3·816 0·440 0·669 -1·573, 2·453 0·083 <0·001 0·050, 0·117
Dummy policy covariate, sensitivity
analysis
Policy effect (all covariates) -0·196 0·873 -2·606, 2·214 0·304 0·823 -2·365, 2·973 0·007 0·842 -0·065, 0·080
Policy effect (significant covariates) -0·334 0·751 -2·396, 1·728 -0·014 0·983 -1·365, 1·337 0·007 0·859 -0·066, 0·079
Dummy policy covariate with policy
implemented with at least half
strength, sensitivity analysis
Policy effect (all covariates) -2·118 0·038 -4·115, -0·120 0·093 0·935 -2·135, 2·322 -0·044 0·180 -0·108, 0·020
Policy effect (significant covariates) -2·040 0·113 -4·564, 0·484 -0·163 0·845 -1·792, 1·466 -0·046 0·156 -0·110, 0·018
Intervention area: Glasgow
Dummy policy covariate
Policy effect (all covariates) -2·642 0·067 -5·468, 0·183 -2·281 0·182 -5·630, 1·068 -0·030 0·144 -0·069, 0·010
Policy effect (significant covariates) -3·218 <0·001 -4·701, -1·734 -2·183 0·066 -4·513, 0·147 -0·040 0·002 -0·065, -0·014
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Table A8. Effect of policy changes on weekend night-time all ambulance call-outs in Aberdeen and Glasgow
Secondary outcome, weekend night-
time all ambulance call-outs
Main analysis Sensitivity analysis
Outcome: number of incidents
Restricted time series only before
COVID-19 restrictions, (outcome:
number of incidents)
Outcome: population adjusted
incident rates
Coefficien
t P-value 95% CI Coefficien
t
P-
value 95% CI Coefficien
t P-value 95% CI
Intervention area: Aberdeen
Staggered policy covariate
Policy effect (all covariates) 11·761 0·005 3·550, 19·972 6·373 0·139 -2·070, 14·815 0·328 <0·001 0·189, 0·467
Policy effect (significant covariates) 12·895 <0·001 6·003, 19·787 6·055 0·161 -2·406, 14·517 0·284 <0·001 0·145, 0·424
Dummy policy covariate, sensitivity
analysis
Policy effect (all covariates) 5·788 0·197 -3·011, 14·587 4·204 0·134 -1·297, 9·704 0·240 0·006 0·068, 0·411
Policy effect (significant covariates) 7·337 0·102 -1·469, 16·143 3·997 0·157 -1·543, 9·537 0·202 0·010 0·048, 0·357
Dummy policy covariate with policy
implemented with at least half
strength, sensitivity analysis
Policy effect (all covariates) 8·816 0·010 2·119, 15·512 5·294 0·083 -0·683, 11·272 0·227 0·001 0·094, 0·360
Policy effect (significant covariates) 9·704 0·001 4·050, 15·358 4·593 0·122 -1·234, 10·419 0·208 0·001 0·084, 0·331
Intervention area: Glasgow
Dummy policy covariate
Policy effect (all covariates) -5·843 0·200 -14·787, 3·102 -3·437 0·468 -12·711, 5·836 -0·035 0·619 -0·173, 0·103
Policy effect (significant covariates) -5·990 0·084 -12·779, 0·798 -1·266 0·763 -9·509, 6·976 -0·021 0·674 -0·117, 0·075
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Table A9. Effect of policy changes on weekend night-time alcohol-related ambulance call-outs in Aberdeen and Glasgow among female sub-group
Primary outcome, weekend night-
time alcohol-related ambulance
call-outs
Main analysis Sensitivity analysis
Outcome: number of incidents
Restricted time series only before
COVID-19 restrictions, (outcome:
number of incidents)
Outcome: population adjusted
incident rates
Coefficient P-
value 95% CI Coefficient P-
value 95% CI Coefficient P-
value 95% CI
Intervention area: Aberdeen
Staggered policy covariate
Policy effect (all covariates) 2·481 0·006 0·724, 4·237 8·601 0·012 1·856, 15·346 0·080 <0·001 0·045, 0·114
Policy effect (significant
covariates) 3·661 <0·001 2·285, 5·037 2·009 0·044 0·058, 3·959 0·081 <0·001 0·047, 0·115
Dummy policy covariate,
sensitivity analysis
Policy effect (all covariates) 0·988 0·162 -0·396, 2·372 0·928 0·168 -0·392, 2·248 0·065 <0·001 0·033, 0·097
Policy effect (significant
covariates) 0·980 0·168 -0·413, 2·373 0·974 0·152 -0·358, 2·307 0·055 <0·001 0·027, 0·083
Dummy policy covariate with
policy implemented with at least
half strength, sensitivity analysis
Policy effect (all covariates) 1·516 0·059 -0·057, 3·090 1·180 0·158 -0·457, 2·818 -0·002 0·940 -0·052, 0·048
Policy effect (significant
covariates) 1·932 0·013 0·414, 3·450 1·149 0·148 -0·407, 2·705 -0·008 0·762 -0·060, 0·044
Intervention area: Glasgow
Dummy policy covariate
Policy effect (all covariates) -1·597 0·097 -3·485, 0·291 -2·060 0·107 -4·565, 0·444 -0·017 0·232 -0·044, 0·011
Policy effect (significant
covariates) -2·104 <0·001 -3·070, -1·139 -2·491 0·009 -4·371, -0·611 -0·021 0·014 -0·037, -0·004
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Table A10. Effect of policy changes on weekend night-time alcohol-related ambulance call-outs in Aberdeen and Glasgow among male sub-group
Primary outcome, weekend night-
time alcohol-related ambulance
call-outs
Main analysis Sensitivity analysis
Outcome: number of incidents
Restricted time series only before
COVID-19 restrictions, (outcome:
number of incidents)
Outcome: population adjusted
incident rates
Coefficien
t
P-
value 95% CI Coefficient P-
value 95% CI Coefficien
t
P-
value 95% CI
Intervention area: Aberdeen
Staggered policy covariate
Policy effect (all covariates) 3·401 0·001 1·357, 5·444 4·045
0·00
1 1·552, 6·537 0·059 0·021 0·009, 0·109
Policy effect (significant
covariates) 3·726 <0·001 1·946, 5·507 3·995
0·00
2 1·487, 6·502 0·055 0·025 0·007, 0·102
Dummy policy covariate,
sensitivity analysis
Policy effect (all covariates) 1·943 0·019 0·321, 3·566 2·336
0·00
4 0·734, 3·938 0·070 0·004 0·023, 0·117
Policy effect (significant
covariates) 1·977 0·022 0·280, 3·673 2·261
0·01
7 0·404, 4·119 0·080 <0·001 0·037, 0·123
Dummy policy covariate with
policy implemented with at least
half strength, sensitivity analysis
Policy effect (all covariates) 1·894 0·025 0·243, 3·545 2·114
0·04
0 0·098, 4·131 0·030 0·196 -0·015, 0·075
Policy effect (significant
covariates) 2·315 0·002 0·815, 3·816 1·818
0·07
7 -0·200, 3·835 0·030 0·148 -0·011, 0·070
Intervention area: Glasgow
Dummy policy covariate
Policy effect (all covariates) 2·392 0·300 -2·131, 6·916 -0·395
0·78
0 -3·162, 2·372 0·036 0·382 -0·044, 0·115
Policy effect (significant
covariates) 1·463 0·500 -2·783, 5·709 -2·150
0·05
3 -4·330, 0·029 0·019 0·616 -0·054, 0·092
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Table A11. Effect of policy changes on weekend night-time alcohol-related ambulance call-outs in Aberdeen and Glasgow among patients age less than 45
years
Primary outcome, weekend night-
time alcohol-related ambulance
call-outs
Main analysis Sensitivity analysis
Outcome: number of incidents
Restricted time series only before
COVID-19 restrictions, (outcome:
number of incidents)
Outcome: population adjusted
incident rates
Coefficient P-value 95% CI Coefficient P-
value 95% CI Coefficient P-
value
95%
CI
Intervention area: Aberdeen
Staggered policy covariate
Policy effect (all covariates) 6·180 0·002 2·251, 10·109 15·626 <0·001
10·292,
20·959 0·210 0·002
0·074,
0·345
Policy effect (significant
covariates) 7·050 <0·001 4·077, 10·023 14·904 <0·001 9·983, 19·825 0·105 <0·001
0·065,
0·145
Dummy policy covariate,
sensitivity analysis
Policy effect (all covariates) 1·527 0·648 -5·026, 8·080 1·897 0·406 -2·577, 6·371 0·066 0·123
-
0·018,
0·150
Policy effect (significant
covariates) 1·355 0·705 -5·670, 8·380 1·860 0·390 -2·384, 6·104 0·088 <0·001
0·050,
0·127
Dummy policy covariate with
policy implemented with at least
half strength, sensitivity analysis
Policy effect (all covariates)
1·500 0·873 -16·828, 19·827 2·821 0·245 -1·936, 7·577 0·025 0·423
-
0·037,
0·088
Policy effect (significant
covariates) 3·732 0·562 -8·876, 16·340 2·595 0·179 -1·188, 6·378 0·068 <0·001 0·035,
0·101
Intervention area: Glasgow
Dummy policy covariate
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Policy effect (all covariates) -0·889 0·516 -3·575, 1·797 0·908 0·577 -2·282, 4·099 -0·011 0·633
-
0·054,
0·033
Policy effect (significant
covariates) -2·543 0·014 -4·579, -0·506 2·250 0·110 -0·510, 5·010 -0·013 0·513
-
0·050,
0·025
Table A12. Effect of policy changes on weekend night-time alcohol-related ambulance call-outs in Aberdeen and Glasgow among patients age more than
45 years
Primary outcome, weekend night-
time alcohol-related ambulance
call-outs
Main analysis Sensitivity analysis
Outcome: number of incidents
Restricted time series only before
COVID-19 restrictions, (outcome:
number of incidents)
Outcome: population adjusted
incident rates
Coefficient P-
value 95% CI Coefficient P-
value 95% CI Coefficient P-
value 95% CI
Intervention area: Aberdeen
Staggered policy covariate
Policy effect (all covariates) 0·891 0·689 -3·478, 5·261 0·315 0·877 -3·664, 4·295 -0·010 0·870
-0·131,
0·111
Policy effect (significant
covariates) 0·806 0·009 0·203, 1·408 0·357 0·681 -1·346, 2·060 0·033 0·054
-0·001,
0·066
Dummy policy covariate,
sensitivity analysis
Policy effect (all covariates) 0·925 0·288 -0·783, 2·633 0·886 0·355 -0·992, 2·764 0·018 0·544
-0·040,
0·076
Policy effect (significant
covariates) 0·679 0·008 0·181, 1·178 0·499 0·365 -0·580, 1·578 0·046 0·004
0·015,
0·077
Dummy policy covariate with
policy implemented with at least
half strength, sensitivity analysis
Policy effect (all covariates) 0·163 0·857 -1·616, 1·943 -0·341 0·697 -2·057, 1·376 0·008 0·761
-0·046,
0·062
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Policy effect (significant
covariates) 0·571 0·053 -0·008, 1·150 0·043 0·948 -1·243, 1·328 0·025 0·076
-0·003,
0·053
Intervention area: Glasgow
Dummy policy covariate
Policy effect (all covariates) -1·139 0·458 -4·144, 1·867 -4·629 <0·001 -6·691, -2·567 -0·055 <0·001
-0·084, -
0·027
Policy effect (significant
covariates) -1·566 0·293 -4·484, 1·352 -3·452 <0·001 -4·713, -2·190 -0·066 <0·001
-0·090, -
0·042
Table A13. Effect of policy changes on weekend restricted night-time (24:00 to 05:59) recorded crimes in Aberdeen and Glasgow
Secondary outcome, weekend
restricted night-time (24:00 to
05:59) recorded crimes
Main analysis Sensitivity analysis
Outcome: number of incidents
Restricted time series only before
COVID-19 restrictions, (outcome:
number of incidents)
Outcome: population adjusted
incident rates
Coefficient P-
value 95% CI Coefficient P-
value 95% CI Coefficient P-
value 95% CI
Intervention area: Aberdeen
Staggered policy covariate
Policy effect (all covariates) 4·534 0·071 -0·385,
9·454 3·752 0·179 -1·721, 9·226 0·034 0·717 -0·152, 0·221
Policy effect (significant
covariates) 2·853 0·002 1·073, 4·634 3·483 0·003 1·153, 5·814 0·023 0·497 -0·043, 0·090
Dummy policy covariate,
sensitivity analysis
Policy effect (all covariates) -0·060 0·967 -2·917,
2·797 -0·062 0·970 -3·239, 3·116 0·004 0·950 -0·110, 0·118
Policy effect (significant
covariates) 1·572 0·028 0·174, 2·970 1·805 0·033 0·150, 3·460 0·031 0·325 -0·030, 0·091
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Dummy policy covariate with
policy implemented with at least
half strength, sensitivity analysis
Policy effect (all covariates) 2·757 0·007 0·759, 4·755 2·291 0·042 0·079, 4·503 0·076 0·023 0·011, 0·142
Policy effect (significant
covariates) 2·642 <0·001 1·271, 4·013 2·821 0·001 1·171, 4·472 0·048 0·043 0·002, 0·094
Intervention area: Glasgow
Dummy policy covariate
Policy effect (all covariates) -6·301 0·003 -10·423, -
2·178 -1·869 0·280 -5·256, 1·518 -0·108 0·002 -0·175, -0·040
Policy effect (significant
covariates) -5·863 0·003 -9·687, -
2·040 -0·625 0·654 -3·356, 2·106 -0·100 0·002 -0·164, -0·035
Appendix 2.4: Falsification test
Table A14. Falsification test for weekend night-time alcohol-related ambulance call-outs and all ambulance call-outs in Aberdeen and Glasgow
Primary outcome: weekend night-
time alcohol-related ambulance
call-outs
Primary outcome: weekend
restricted night-time (24:00 to
05:59) alcohol-related ambulance
call-outs
Primary outcome: weekend
restricted night-time (20:00 to
23:59) alcohol-related ambulance
call-outs
Secondary outcome: weekend night-
time all ambulance call-outs
Falsification test, 1 year before
policy implementation, (outcome:
number of incidents)
Falsification test, 1 year before
policy implementation, (outcome:
number of incidents)
Falsification test, 1 year before
policy implementation, (outcome:
number of incidents)
Falsification test, 1 year before policy
implementation, (outcome: number
of incidents)
Coefficient
P-
value 95% CI Coefficient
P-
value 95% CI Coefficient
P-
value 95% CI Coefficient P-
value 95% CI
Intervention area: Aberdeen
Staggered policy
covariate
Policy effect (all
covariates) -10·095 0·056 -20·464, 0·273 2·118 0·199
-1·115,
5·352 -6·320 0·066 -13·069, 0·429 -23·557 0·012 -41·914, -5·199
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Policy effect
(significant
covariates) -6·997 0·066 -14·458, 0·464 2·135 0·187
-1·038,
5·308 -5·982 0·003 -9·945, -2·019 -13·751 0·050 -27·518, 0·016
Dummy policy
covariate,
sensitivity analysis
Policy effect (all
covariates) -4·234 0·071 -8·825, 0·356 -1·623 0·247
-4·372,
1·126 -1·112 0·401 -3·707, 1·483 -9·540 0·016 -17·266, -1·815
Policy effect
(significant
covariates) -3·887 0·099 -8·507, 0·732 0·260 0·880
-3·129,
3·650 -2·629 0·012 -4·685, -0·573 -9·176 0·018 -16·752, -1·601
Dummy policy
covariate with
policy implemented
with at least half
strength, sensitivity
analysis
Policy effect (all
covariates) 3·104 0·019 0·500, 5·708 2·962 0·202
-1·590,
7·513 0·226 0·913 -3·851, 4·304 -4·256 0·535 -17·705, 9·194
Policy effect
(significant
covariates) 3·096 0·020 0·493, 5·699 1·233 0·252
-0·879,
3·345 -0·315 0·788 -2·617, 1·986 -1·864 0·651 -9·949, 6·221
Intervention area: Glasgow
Dummy policy
covariate
Policy effect (all
covariates) 1·777 0·533 -3·804, 7·357 -1·301 0·493
-5·022,
2·419 2·178 0·204 -1·181, 5·536 5·260 0·301 -4·708, 15·228
Policy effect
(significant
covariates) 3·968 0·113 -0·945, 8·880 -0·793 0·378
-2·555,
0·969 0·089 0·921 -1·679, 1·857 4·305 0·377 -5·252, 13·862
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Table A15. Falsification test for sub-group analysis for the weekend night-time alcohol-related ambulance call-outs in Aberdeen and Glasgow
Sub-group: Female Sub-group: Male Sub-group: age less than 45 years Sub-group: age more than 45 years
Falsification test, 1 year before
policy implementation, (outcome:
number of incidents)
Falsification test, 1 year before
policy implementation, (outcome:
number of incidents)
Falsification test, 1 year before policy
implementation, (outcome: number
of incidents)
Falsification test, 1 year before
policy implementation, (outcome:
number of incidents)
Coefficient P-
value 95% CI Coefficient
P-
value 95% CI Coefficient
P-
value 95% CI Coefficient
P-
value 95% CI
Intervention area: Aberdeen
Staggered policy
covariate
Policy effect (all
covariates) -5·369 0·013 -9·607, -1·132 2·833 0·011 0·658, 5·007 -6·556 0·207 -16·745, 3·633 1·861 0·476 -3·259, 6·980
Policy effect
(significant covariates) -4·478 0·010 -7·867, -1·089 -0·442 0·843 -4·828,
3·944 -4·454 0·294 -12·778, 3·871 0·813 0·013 0·173, 1·453
Dummy policy
covariate, sensitivity
analysis
Policy effect (all
covariates) -2·047 0·021 -3·789, -0·304 -1·349 0·313 -3·968,
1·271 -3·267 0·128 -7·479, 0·945 -0·268 0·761 -1·995, 1·459
Policy effect
(significant covariates) -2·077 0·028 -3·932, -0·222 -1·169 0·377 -3·763,
1·425 -3·263 0·121 -7·390, 0·864 0·438 0·540 -0·961, 1·836
Dummy policy
covariate with policy
implemented with at
least half strength,
sensitivity analysis
Policy effect (all
covariates) -3·043 0·061 -6·226, 0·141 1·753 0·391 -2·252,
5·757 2·223 0·504 -4·299, 8·746 0·489 0·758 -2·615, 3·592
Policy effect
(significant covariates) -1·917 0·054 -3·871, 0·037 1·537 0·454 -2·484,
5·558 1·734 0·625 -5·222, 8·689 0·513 0·050 <0·001, 1·026
Intervention area: Glasgow
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Dummy policy
covariate
Policy effect (all
covariates) -2·127 0·103 -4·684, 0·430 3·219 0·098 -0·592,
7·031 1·680 0·387 -2·127, 5·487 -0·419 0·739 -2·881, 2·043
Policy effect
(significant covariates) -1·965 <0·001 -2·989, -0·941 2·053 0·273 -1·617,
5·722 1·668 0·086 -0·234, 3·570 -1·086 0·347 -3·351, 1·179
Table A16. Falsification test for weekend night-time recorded crimes in Aberdeen and Glasgow
Secondary outcome, weekend night-time
recorded crimes
Secondary outcome, weekend restricted
night-time (24:00 to 05:59) recorded
crimes
Falsification test, 1 year before policy
implementation, (outcome: number of
incidents)
Falsification test, 1 year before policy
implementation, (outcome: number of
incidents)
Coefficient P-value 95% CI Coefficient P-value 95% CI
Intervention area: Aberdeen
Staggered policy covariate
Policy effect (all covariates) -1·956 0·696 -11·761, 7·850 1·573 0·674 -5·767, 8·913
Policy effect (significant covariates) 2·248 0·117 -0·563, 5·059 2·474 0·007 0·684, 4·263
Dummy policy covariate, sensitivity
analysis
Policy effect (all covariates) -0·914 0·588 -4·227, 2·398 -0·003 0·998 -2·575, 2·569
Policy effect (significant covariates) 0·800 0·605 -2·227, 3·826 1·564 0·151 -0·570, 3·698
Dummy policy covariate with policy
implemented with at least half
strength, sensitivity analysis
Policy effect (all covariates) -3·758 0·245 -10·096, 2·579 -2·461 0·247 -6·633, 1·710
Policy effect (significant covariates) 1·608 0·693 -6·382, 9·598 -3·183 0·009 -5·554, -0·812
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Intervention area: Glasgow
Dummy policy covariate
Policy effect (all covariates) -4·608 0·015 -8·331, -0·885 -5·240 0·002 -8·552, -1·929
Policy effect (significant covariates) -5·723 <0·001 -8·399, -3·046 -6·703 <0·001 -9·286, -3·919
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Appendix 3. Synthetic control
Appendix 3.1. Alcohol-related ambulance call-outs (Aberdeen)
Appendix 3.1.1. Model specification and validation test
The analysis of the synthetic control was conducted in two main steps. First, we assessed nine
different model specifications derived from the existing literature on synthetic control methods,
following the recommended validation procedure for synthetic control analysis (Table SC 1) [39,40].
The validation test involved calculating the mean squared prediction error (MSPE) by splitting the
pre-intervention periods into training and validation sets. Since there are no recommended ratios for
splitting the pre-intervention period, we tested three different split ratios—50:50, 70:30, and 80:20—
and compared MSPEs across the different specifications. For the alcohol-related ambulance call-outs
in Aberdeen, we identified three specifications (1, 2, and 3 (see below Table SC 1)) that produced the
lowest MSPEs. However, literature recommends against using all pre-intervention outcome values as
covariates, as this can reduce the predictive power of other variables that may significantly influence
the construction of the counterfactual [40,41]. Therefore, we selected specification 3 for the remainder
of the synthetic control analysis. This specification was chosen because it struck a balance between
capturing the pre-intervention trends and allowing other important covariates to contribute to the
counterfactual.
Appendix 3.1.2. Main analysis and sensitivity tests
For the analysis of alcohol-related ambulance call-outs, we observed that the predictor means for
Aberdeen were closely aligned with those of the synthetic Aberdeen, as opposed to the average of all
donor pool/control cities (Table SC 2). The number of on-premises alcohol outlets emerged as the
most influential covariate in generating the synthetic control weights, alongside the pre-intervention
outcome mean. Among the donor pools, Edinburgh was the most significant contributor to the
creation of synthetic Aberdeen, followed by North Lanarkshire and East Renfrewshire (Figure SC 01).
From the gap plot between Aberdeen and synthetic Aberdeen, a positive average treatment effect
(ATT=0·103) appeared evident (Figure SC 02). However, a placebo test using permutation methods
indicated that other council areas might also exhibit a positive ATT although no policy change
occurred there (Figure SC 03a). As a sensitivity analysis, we also presented two graphs for the
placebo test after excluding council areas with MSPE two times higher and one time higher than
Aberdeen's (Figures SC 03b and SC 03c). This exclusion aimed to improve the robustness of the
comparison.
For Aberdeen, we calculated the ATT by accounting for the staggered implementation of the policy,
adjusting the ATT accordingly using staggered policy weights. Additionally, we visualised the
distribution of effect sizes (i.e., ATT) based on the placebo test, where the second figure only
considered positive effect sizes, further narrowing the focus to more relevant comparisons (Figures
SC 04a and SC 04b). This distribution provides a clear depiction of how extreme the ATT for
Aberdeen is compared to the control/donor cities. From the figures, we observed that while some
control units exhibited positive ATTs, the magnitude of Aberdeen’s ATT was comparatively larger.
This suggests that the treatment effect in Aberdeen is more pronounced than in most control cities,
strengthening the uniqueness of the observed impact in Aberdeen relative to the donor pool.
Finally, we compared post/pre-intervention MSPE ratios for Aberdeen and the control cities and
calculated a frequentist p-value. This was done by dividing the number of cities with post/pre MSPE
ratios higher than Aberdeen's by the total number of cities. This resulted in a p-value of 0·222 (6/27)
(Figure SC 05a). The second figure illustrating post/pre MSPE ratios was also presented, this time
only considering cities with positive effect sizes, enhancing the interpretability of the results with a
focus on potential treatment effects (Figure SC 05b). The estimated p-value in this analysis was 0·28,
calculated as 5/18 (Figure SC 05b). It is important to note that the minimum possible p-value in
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synthetic control studies depends on the number of control units included in the donor pool. For
instance, with 27 control units, the minimum attainable p-value would be 1/27 (approximately 0·04).
In contrast, if 18 control units are used, the minimum p-value would be 1/18, (approximately 0·06).
Thus, the number of control units directly influences the lowest possible p-value that can be observed.
In addition, we conducted ARIMA based on difference-in-difference analyses with the synthetic
control where we modelled the differences of alcohol-related ambulance call-out rates between
Aberdeen and Synthetic Aberdeen [42]. We estimated effect size of 0·143 with a p-value <0·001
(Table A17).
Table SC 1. Validation test for synthetic control for alcohol-related ambulance call-outs in Aberdeen
Specifications
Pre-intervention periods split between training and validation
Training/validation,
50/50
Training/validation,
70/30
Training/validation,
80/20
MSPE*
(Validation)
MSPE*
(Validation)
MSPE*
(Validation)
1. (all pre-intervention outcome values and
covariates) 0·0336 0·03522 0·0480
2. (all pre-intervention outcome values only) 0·0335 0·03524 0·0479
3. (pre-intervention outcome mean and
covariates) 0·0412 0·0384 0·0435
4. (last pre-intervention outcome value and
covariates) 0·0807 0·1267 0·1002
5. (pre-intervention outcome mean and last pre-
intervention outcome value, and covariates) 0·0404 0·0389 0·0473
6. (first three-fourths of the pre-intervention
outcome values and covariates) 0·0370 0·0411 0·0503
7. (last three-fourths of the pre-intervention
outcome values and covariates) 0·0356 0·0386 0·0528
8. (odd pre-intervention outcome values and
covariates) 0·0359 0·0388 0·0516
9. (even pre-intervention outcome values and
covariates) 0·0367 0·0402 0·0458
*Mean Square Prediction Error
Aberdeen- Synthetic Aberdeen, Specification 3:
Table SC 2. Covariate balance in the pre-intervention periods
Covariates Covariate weights
Alcohol-related ambulance call-
outs, predictor means
Aberdeen Synthetic
Aberdeen
Average
of other
control
cities
Number of on-premises alcohol
outlets (population size adjusted) 0·696 19·813 20·324 23·554
Per capita gross disposable
household income 0·045 20,125 19,390 17,763
Pre-intervention outcome mean 0·259 0·724 0·712 0·538
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Figure SC 01: Optimal unit weights
Figure SC 02: Gaps of Aberdeen and synthetic Aberdeen
0.000 0.100 0.200 0.300 0.400 0.500 0.600
Midlothian
East Renfrewshire
North Lanarkshire
City of Edinburgh
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Figure SC 03a: Placebo test
Figure SC 03b: Placebo test excluding control cities MSPE>2 times Aberdeen
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Figure SC 03c: Placebo test excluding control cities if MSPE> Aberdeen
Figure SC 04a: Effect size for placebo test
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Figure SC 04b: Effect size placebo test considering only positive effect size
Figure SC 05a: Post/Pre MSPE ratio across cities
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Figure SC 05b: Post/Pre MSPE ratio across cities considering only positive effect size
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Appendix 3.2. Alcohol-related ambulance call-outs (Glasgow)
Appendix 3.2.1. Model specification and validation test
For the analysis of alcohol-related ambulance call-outs in Glasgow, we identified two specifications
(3 and 7) that yielded the lowest MSPEs (Table SC 3). Specification 3 produced the smallest MSPE
on two occasions and had the lowest overall value. As a result, we selected specification 3 for the
remainder of the analysis.
Appendix 3.2.2. Main analysis and sensitivity tests
We observed that the predictor means for Glasgow were closely aligned with those of the synthetic
Glasgow, compared to the average of all donor pool/control cities (Table SC 4). Per capita gross
disposable household income (63%) and the number of on-premises alcohol outlets (37%) emerged as
the most influential covariates in generating the synthetic control weights. Among the donor pool
cities, Dundee and North Ayrshire were the most significant contributors to the creation of synthetic
Glasgow (Figure SC 06).
For Glasgow, we estimated a positive average treatment effect (ATT) of 0·012. However, the effect
sizes estimated using ARIMA models were negative, indicating a discrepancy between the synthetic
control and ARIMA approaches. Additionally, the p-value from the placebo test was 0·926, indicating
a high level of uncertainty (Figure SC 10a). When we further modelled ARIMA with synthetic
control, we estimated negative and statistically significant effect sizes (Table A17). Despite the
different nature of p-values (inferential for ARIMA and frequentist for Synthetic) the different results
from different approaches in terms of direction and significance weakened our confidence in
interpreting the overall impact of the policy change in Glasgow, making these results inconclusive.
Table SC 3. Validation test for synthetic control for alcohol-related ambulance call-outs in Glasgow
Specifications
Pre-intervention periods split between training and validation
Training/validation,
50/50
Training/validation,
70/30
Training/validation,
80/20
MSPE*
(Validation)
MSPE*
(Validation)
MSPE*
(Validation)
1. (all pre-intervention outcome values and
covariates) 0·0618 0·05474 0·0662
2. (all pre-intervention outcome values only) 0·0618 0·05474 0·0662
3. (pre-intervention outcome mean and
covariates) 0·0604 0·0667 0·0489
4. (last pre-intervention outcome value and
covariates) 0·0810 0·0706 0·0605
5. (pre-intervention outcome mean and last
pre-intervention outcome value, and
covariates)
0·0604 0·0532 0·0729
6. (first three-fourths of the pre-intervention
outcome values and covariates) 0·0643 0·0606 0·0662
7. (last three-fourths of the pre-intervention
outcome values and covariates) 0·0613 0·0531 0·0620
8. (odd pre-intervention outcome values and
covariates) 0·0618 0·0547 0·0662
9. (even pre-intervention outcome values and
covariates) 0·0618 0·0547 0·0662
Glasgow- Synthetic Glasgow, Specification 3:
Table SC 4. Covariate balance in the pre-intervention periods
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Covariates Covariate weights
Alcohol-related ambulance call-
outs, predictor means
Glasgow Synthetic
Glasgow
Average
of other
control
cities
Number of on-premises alcohol outlets
(population size adjusted) 0·370 21·416 21·446 23·524
Per capita gross disposable household
income 0·628 15852 15851 18260
Pre-intervention outcome mean 0·002 0·964 0·835 0·595
Figure SC 06: Optimal unit weights
0 0.1 0.2 0.3 0.4 0.5 0.6
Falkirk
West Lothian
City of Edinburgh
North Lanarkshire
North Ayrshire
Dundee City
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Figure SC 07: Gaps of Glasgow and synthetic Glasgow
Figure SC 08a: Placebo test
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Figure SC 08b: Placebo test excluding control cities MSPE>2 times Glasgow
Figure SC 08c: Placebo test excluding control cities if MSPE> Glasgow
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Figure SC 09a: Effect size for placebo test
Figure SC 09b: Effect size placebo test considering only positive effect size
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Figure SC 10a: Post/Pre MSPE ratio across cities
Figure SC 10b: Post/Pre MSPE ratio across cities considering only positive effect size
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72
Appendix 3.3. Reported crimes (Aberdeen)
Appendix 3.3.1. Model specification and validation test
For the reported crimes in Aberdeen, we identified three specifications (6, 7, and 9) that generated the
lowest MSPEs (Table SC 5). Specification 6 had the lowest MSPE value among them. As a result, we
selected specification 6 for the remainder of the analysis.
Appendix 3.3.2. Main analysis and sensitivity tests
We observed that the predictor means for Aberdeen were closely aligned with those of the synthetic
Aberdeen with some exceptions (Table SC 6). Among the donor pool cities, Dundee, Edinburgh,
West Lothian, and Falkirk were the most significant contributors to the creation of synthetic Aberdeen
for reported crimes (Figure SC 11).
We estimated a positive average treatment effect (ATT) of 0·022, consistent with the direction of the
effect sizes estimated using ARIMA based on difference-in-Differences approaches. However, the p-
value from the placebo test for the synthetic control was 0·333 (Figure SC 15a). When we further
modelled ARIMA with synthetic control, we also estimated a positive but statistically insignificant
effect size of 0·016 (Table A18). Although the effect sizes across different approaches (ARIMA,
synthetic control, and synthetic control + ARIMA) were homogeneous in terms of direction (positive),
they were not always statistically significant. This underscores the uncertainty in the results and the
need for caution in their interpretation.
Table SC 5. Validation test for synthetic control for reported crimes in Aberdeen
Specifications
Pre-intervention periods split between training and validation
Training/validation,
50/50
Training/validatio
n, 70/30
Training/validatio
n, 80/20
MSPE*
(Validation)
MSPE*
(Validation)
MSPE*
(Validation)
1. (all pre-intervention outcome values and
covariates) 0·0772 0·05798 0·0570
2. (all pre-intervention outcome values
only) 0·0767 0·05798 0·0570
3. (pre-intervention outcome mean and
covariates) 0·0724 0·0639 0·0665
4. (last pre-intervention outcome value and
covariates) 0·1128 0·2336 0·0729
5. (pre-intervention outcome mean and last
pre-intervention outcome value, and
covariates)
0·0722 0·0640 0·0682
6. (first three-fourths of the pre-intervention
outcome values and covariates) 0·0858 0·0714 0·0534
7. (last three-fourths of the pre-intervention
outcome values and covariates) 0·0707 0·0640 0·0693
8. (odd pre-intervention outcome values
and covariates) 0·0745 0·0647 0·0565
9. (even pre-intervention outcome values
and covariates) 0·0772 0·0570 0·0556
Aberdeen- Synthetic Aberdeen, Specification 6:
Table SC 6. Covariate balance in the pre-intervention periods
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Covariates Covariate
weights
Reported crimes, predictor means
Aberdeen Synthetic
Aberdeen
Average
of other
control
cities
Number of on-premises alcohol outlets
(population size adjusted) 0·043 19·794 20·535 23·558
Per capita gross disposable household
income 0·001 20125 17415 17773
Pre-intervention outcome, period-19 0·026 0·695 0·702 0·655
Pre-intervention outcome, period-20 0·000 0·825 0·976 0·534
Pre-intervention outcome, period-21 0·004 0·825 0·773 0·749
Pre-intervention outcome, period-22 0·103 1·086 0·895 0·677
Pre-intervention outcome, period-23 0·004 0·608 0·720 0·641
Pre-intervention outcome, period-24 0·000 0·825 0·926 0·695
Pre-intervention outcome, period-25 0·040 0·565 0·679 0·764
Pre-intervention outcome, period-26 0·019 0·825 0·902 0·644
Pre-intervention outcome, period-27 0·030 0·738 0·700 0·674
Pre-intervention outcome, period-28 0·001 0·434 0·733 0·574
Pre-intervention outcome, period-29 0·081 0·695 0·667 0·598
Pre-intervention outcome, period-30 0·001 0·739 0·884 0·642
Pre-intervention outcome, period-31 0·020 1·260 1·086 0·905
Pre-intervention outcome, period-32 0·017 0·565 0·966 0·765
Pre-intervention outcome, period-33 0·013 0·695 0·872 0·777
Pre-intervention outcome, period-34 0·047 0·826 0·783 0·595
Pre-intervention outcome, period-35 0·044 1·478 0·852 0·716
Pre-intervention outcome, period-36 0·062 0·826 0·691 0·642
Pre-intervention outcome, period-37 0·005 0·435 0·712 0·668
Pre-intervention outcome, period-38 0·047 0·869 1·028 0·631
Pre-intervention outcome, period-39 0·116 1·043 0·912 0·663
Pre-intervention outcome, period-40 0·078 0·696 0·677 0·545
Pre-intervention outcome, period-41 0·094 1·261 0·962 0·544
Pre-intervention outcome, period-42 0·097 0·870 0·725 0·724
Pre-intervention outcome, period-43 0·007 1·044 0·632 0·592
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Figure SC 11: Optimal unit weights
Figure SC 12: Gaps of Aberdeen and synthetic Aberdeen
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35
Renfrewshire
North Ayrshire
Falkirk
West Lothian
City of Edinburgh
Dundee City
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Figure SC 13a: Placebo test
Figure SC 13b: Placebo test excluding control cities MSPE>2 times Aberdeen
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Figure SC 13c: Placebo test excluding control cities if MSPE> Aberdeen
Figure SC 14a: Effect size for placebo test
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Figure SC 14b: Effect size placebo test considering only positive effect size
Figure SC 15a: Post/Pre MSPE ratio across cities
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Figure SC 15b: Post/Pre MSPE ratio across cities considering only positive effect size
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Appendix 3.4. Reported crimes (Glasgow)
Appendix 3.4.1. Model specification and validation test
For the reported crimes in Glasgow, we identified specifications 6, 7, and 9 that generated the lowest
MSPEs (Table SC 7). Among them specification 7 a had the lowest value of MSPE. As a result, we
selected specification 7 for the remainder of the analysis.
Appendix 3.4.2. Main analysis and sensitivity tests
We observed that the predictor means for Glasgow were closely aligned with those of the synthetic
Glasgow with some exceptions (Table SC 8). Among the donor pool cities, Edinburgh, Dundee, and
Falkirk were the most significant contributors to the creation of synthetic Glasgow for reported crimes
(Figure SC 11).
We estimated a positive average treatment effect (ATT) of 0·148. However, the effect sizes estimated
using ARIMA based on difference-in-Differences models were negative and insignificant, indicating
a discrepancy between the synthetic control and ARIMA approaches. Additionally, the p-value from
the placebo test was 0·519, indicating a high level of uncertainty (Figure SC 20a). When we further
modelled ARIMA with synthetic control, we estimated positive and statistically insignificant effect
size (Table A18). Despite the different nature of p-values (inferential for ARIMA and frequentist for
Synthetic) the different results from different approaches in terms of direction and significance
weakened our confidence in interpreting the overall impact of the policy change in Glasgow, making
these results unconclusive.
Table SC 7. Validation test for synthetic control for reported crimes in Glasgow
Specifications
Pre-intervention periods split between training and validation
Training/validation,
50/50
Training/validation,
70/30
Training/validation,
80/20
MSPE*
(Validation)
MSPE*
(Validation)
MSPE*
(Validation)
1. (all pre-intervention outcome values and
covariates) 0·0765 0·05166 0·0473
2. (all pre-intervention outcome values only) 0·0765 0·05133 0·0473
3. (pre-intervention outcome mean and covariates) 0·0853 0·0819 0·0632
4. (last pre-intervention outcome value and
covariates) 0·1298 0·0670 0·0598
5. (pre-intervention outcome mean and last pre-
intervention outcome value, and covariates) 0·0930 0·0643 0·0584
6. (first three-fourths of the pre-intervention
outcome values and covariates) 0·0745 0·0513 0·0473
7. (last three-fourths of the pre-intervention
outcome values and covariates) 0·0724 0·0513 0·0473
8. (odd pre-intervention outcome values and
covariates) 0·0766 0·0517 0·0473
9. (even pre-intervention outcome values and
covariates) 0·0724 0·0513 0·0475
Glasgow- Synthetic Glasgow, Specification 7:
Table SC 8. Covariates balance in the pre-intervention periods
Covariates Covariate
weights
Reported crimes, predictor
means
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Glasgow Synthetic
Glasgow
Average
of other
control
cities
Number of on-premises alcohol outlets
(population size adjusted) 0·016 21·371 23·402 23·529
Per capita gross disposable household
income 0·008 15852 18900 18246
Pre-intervention outcome, period-169 0·019 0·733 0·835 0·748
Pre-intervention outcome, period-170 0·017 0·701 0·720 0·456
Pre-intervention outcome, period-171 0·012 0·637 0·701 0·413
Pre-intervention outcome, period-172 0·011 0·987 1·085 0·539
Pre-intervention outcome, period-173 0·017 1·002 0·779 0·543
Pre-intervention outcome, period-174 0·015 1·114 0·676 0·519
Pre-intervention outcome, period-175 0·005 0·891 0·411 0·421
Pre-intervention outcome, period-176 0·026 0·954 0·811 0·516
Pre-intervention outcome, period-177 0·016 0·922 0·964 0·567
Pre-intervention outcome, period-178 0·014 0·763 0·398 0·501
Pre-intervention outcome, period-179 0·021 0·938 0·681 0·495
Pre-intervention outcome, period-180 0·020 0·826 0·589 0·470
Pre-intervention outcome, period-181 0·014 0·826 0·618 0·468
Pre-intervention outcome, period-182 0·014 1·080 1·178 0·795
Pre-intervention outcome, period-183 0·006 0·889 0·545 0·525
Pre-intervention outcome, period-184 0·017 0·826 0·798 0·556
Pre-intervention outcome, period-185 0·020 0·730 0·636 0·458
Pre-intervention outcome, period-186 0·015 0·746 0·855 0·562
Pre-intervention outcome, period-187 0·016 0·793 0·717 0·505
Pre-intervention outcome, period-188 0·014 0·809 0·622 0·523
Pre-intervention outcome, period-189 0·017 0·682 0·920 0·565
Pre-intervention outcome, period-190 0·006 0·682 0·857 0·528
Pre-intervention outcome, period-191 0·024 1·094 0·723 0·597
Pre-intervention outcome, period-192 0·018 0·824 0·690 0·585
Pre-intervention outcome, period-193 0·020 0·713 0·535 0·401
Pre-intervention outcome, period-194 0·018 0·681 0·573 0·419
Pre-intervention outcome, period-195 0·016 0·776 0·804 0·539
Pre-intervention outcome, period-196 0·023 0·792 0·969 0·543
Pre-intervention outcome, period-197 0·017 0·586 0·516 0·566
Pre-intervention outcome, period-198 0·027 0·886 0·575 0·629
Pre-intervention outcome, period-199 0·020 0·918 0·950 0·591
Pre-intervention outcome, period-200 0·018 1·013 0·962 0·528
Pre-intervention outcome, period-201 0·017 0·823 0·822 0·475
Pre-intervention outcome, period-202 0·013 0·854 0·694 0·552
Pre-intervention outcome, period-203 0·018 0·522 0·468 0·370
Pre-intervention outcome, period-204 0·028 1·360 0·913 0·616
Pre-intervention outcome, period-205 0·022 0·711 0·666 0·459
Pre-intervention outcome, period-206 0·013 0·616 0·794 0·563
Pre-intervention outcome, period-207 0·020 1·043 0·720 0·595
Pre-intervention outcome, period-208 0·018 0·964 0·702 0·594
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Pre-intervention outcome, period-209 0·020 0·521 0·469 0·267
Pre-intervention outcome, period-210 0·021 0·805 0·447 0·344
Pre-intervention outcome, period-211 0·036 0·758 0·527 0·341
Pre-intervention outcome, period-212 0·013 1·074 0·562 0·413
Pre-intervention outcome, period-213 0·016 0·932 0·950 0·529
Pre-intervention outcome, period-214 0·016 0·774 0·622 0·557
Pre-intervention outcome, period-215 0·011 0·821 0·563 0·410
Pre-intervention outcome, period-216 0·022 0·868 0·726 0·476
Pre-intervention outcome, period-217 0·012 1·026 0·608 0·496
Pre-intervention outcome, period-218 0·020 0·884 0·617 0·559
Pre-intervention outcome, period-219 0·021 0·758 0·512 0·483
Pre-intervention outcome, period-220 0·018 0·852 0·630 0·480
Pre-intervention outcome, period-221 0·018 0·947 0·900 0·507
Pre-intervention outcome, period-222 0·019 0·458 0·597 0·521
Pre-intervention outcome, period-223 0·014 0·647 0·422 0·401
Pre-intervention outcome, period-224 0·017 0·883 0·706 0·422
Figure SC 16: Optimal unit weights
0 0.1 0.2 0.3 0.4 0.5 0.6
Falkrik
Dundee City
City of Edinburgh
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Figure SC 17: Gaps of Glasgow and synthetic Glasgow
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Figure SC 18a: Placebo test
Figure SC 18b: Placebo test excluding control cities MSPE>2 times Glasgow
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Figure SC 18c: Placebo test excluding control cities if MSPE> Glasgow
Figure SC 19a: Effect size for placebo test
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Figure SC 19b: Effect size placebo test considering only positive effect size
Figure SC 20a: Post/Pre MSPE ratio across cities
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Figure SC 20b: Post/Pre MSPE ratio across cities considering only positive effect size
Appendix 4. Synthetic control and ARIMA
Table A17. Effect of policy changes on weekend night-time alcohol-related
ambulance call-outs in Aberdeen and Glasgow
Primary outcome, weekend
night-time alcohol-related
ambulance call-outs
Synthetic control + ARIMA
Outcome: population adjusted incident
rates
Coefficient P-value 95% CI
Intervention area: Aberdeen
Staggered policy covariate
Policy effect (all covariates)* 0·143 <0·001 0·069, 0·218
Policy effect (significant
covariates) 0·143 <0·001 0·069, 0·218
Dummy policy covariate,
sensitivity analysis
Policy effect (all covariates) 0·132 <0·001 0·072, 0·192
Policy effect (significant
covariates) 0·132 <0·001 0·072, 0·192
Dummy policy covariate with
policy implemented with at least
half strength, sensitivity
analysis
Policy effect (all covariates) 0·083 0·031 0·008, 0·159
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Policy effect (significant
covariates) 0·084 0·029 0·009, 0·159
Intervention area: Glasgow
Dummy policy covariate
Policy effect (all covariates)* -0·095 <0·001 -0·146, -0·043
Policy effect (significant
covariates) -0·095 <0·001 -0·147, -0·044
*Models are adjusted by covariates- Covid-19, public holidays, and outliers
Table A18. Effect of policy changes on weekend night-time recorded
crimes in Aberdeen and Glasgow
Secondary outcome,
weekend night-time
recorded crimes
Synthetic control + ARIMA
Outcome: population adjusted
incident rates
Coefficient
P-
value 95% CI
Intervention area: Aberdeen
Staggered policy covariate
Policy effect (all
covariates)* -0·029 0·599 -0·136, 0·079
Policy effect (significant
covariates) -0·032 0·488 -0·123, 0·059
Dummy policy covariate,
sensitivity analysis
Policy effect (all covariates) -0·032 0·444 -0·116, 0·051
Policy effect (significant
covariates) -0·035 0·393 -0·115, 0·045
Dummy policy covariate
with policy implemented
with at least half strength,
sensitivity analysis
Policy effect (all covariates) 0·007 0·876 -0·081, 0·094
Policy effect (significant
covariates) -0·001 0·985 -0·076, 0·075
Intervention area: Glasgow
Dummy policy covariate
Policy effect (all
covariates)* 0·029 0·268 -0·22, 0·080
Policy effect (significant
covariates) 0·029 0·269 -0·022, 0·080
*Models are adjusted by covariates- Covid-19, public holidays, and
outliers
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