A spatiotemporal bayesian hierarchical approach to investigating patterns of confidence in the police at the neighbourhood level
File(s)Williams_et_al-2019-Geographical_Analysis.pdf (963.76 KB)
Published version
Author(s)
Williams, Dawn
Haworth, James
Blangiardo, MAG
Cheng, Tao
Type
Journal Article
Abstract
Public confidence in the police is crucial to effective policing. Improving understanding of
public confidence at the local l
evel will better enable the police to conduct proactive
confidence interventions to meet the concerns of local communities.
Conventional
approaches
do
not consider that public confidence varies across geographic space as well
as in time.
Neighbourhood leve
l approaches to modelling public confidence in the police
are hampered by the small number problem and the resulting instability in the estimates
and uncertainty in the results.
This
research illustrates a spatiotemporal Bayesian
approach for estimating an
d forecasting
public confidence at the
neighbourhood level
and
we use it to examine trends in public confidence in the police in London, UK, for Q2 2006
to Q3 2013. Our approach
overcomes the limitations of the small number problem
and
specifically
, we inv
estigate the effect of the spatiotemporal representation structure
chosen
on the
estimates
of public confidence produced. We then investigate the use of the model
for forecasting by producing one
-
step ahead forecasts
of
the final third of the time
-
series
.
The results are compared with
the forecasts from traditional time
-
series forecasting
methods like naïve, exponential smoothing, ARIMA, STARIMA and others. A model with
spatially structured and unstructured random effects as well as a normally distributed
s
patiotemporal interaction term was the most parsimonious and produced the most
realistic estimates.
It also
provided the best forecasts at the London
-
wide, Borough and
neighbourhood level.
public confidence at the local l
evel will better enable the police to conduct proactive
confidence interventions to meet the concerns of local communities.
Conventional
approaches
do
not consider that public confidence varies across geographic space as well
as in time.
Neighbourhood leve
l approaches to modelling public confidence in the police
are hampered by the small number problem and the resulting instability in the estimates
and uncertainty in the results.
This
research illustrates a spatiotemporal Bayesian
approach for estimating an
d forecasting
public confidence at the
neighbourhood level
and
we use it to examine trends in public confidence in the police in London, UK, for Q2 2006
to Q3 2013. Our approach
overcomes the limitations of the small number problem
and
specifically
, we inv
estigate the effect of the spatiotemporal representation structure
chosen
on the
estimates
of public confidence produced. We then investigate the use of the model
for forecasting by producing one
-
step ahead forecasts
of
the final third of the time
-
series
.
The results are compared with
the forecasts from traditional time
-
series forecasting
methods like naïve, exponential smoothing, ARIMA, STARIMA and others. A model with
spatially structured and unstructured random effects as well as a normally distributed
s
patiotemporal interaction term was the most parsimonious and produced the most
realistic estimates.
It also
provided the best forecasts at the London
-
wide, Borough and
neighbourhood level.
Date Issued
2019-01-31
Date Acceptance
2018-01-20
Citation
Geographical Analysis, 2019, 51 (1), pp.90-110
ISSN
0016-7363
Publisher
Wiley
Start Page
90
End Page
110
Journal / Book Title
Geographical Analysis
Volume
51
Issue
1
Copyright Statement
© 2018 The Authors. Geographical Analysispublished by The Ohio State UniversityThis is an open access article under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
Subjects
Social Sciences
Geography
SPACE-TIME VARIATION
PUBLIC CONFIDENCE
DISEASE
CRIME
MODELS
RISK
MPS
0406 Physical Geography and Environmental Geoscience
1604 Human Geography
0909 Geomatic Engineering
Geography
Publication Status
Published
Date Publish Online
2018-03-25