Statistical methods for urgent medical care call centres and sustainable transport
Submitting Institution
University of DurhamUnit of Assessment
Mathematical SciencesSummary Impact Type
HealthResearch Subject Area(s)
Economics: Econometrics
Summary of the impact
The Northern Doctors Urgent Care Group, a not-for-profit organisation
that delivers out-of-hours
urgent medical services for the NHS, achieved significant efficiency
savings and improvements
in-patient care as a result of adopting statistical assessment and
forecasting processes,
developed by Durham University. These improved processes also featured in
the Group's
successful competitive bids for two new contracts worth £9.2M per year. In
addition, the Durham
methodology was adapted to assess the results of a Government programme to
encourage
cycling in six UK towns, producing data on cycle use that helped to
influence subsequent
allocations of about £700M for sustainable transport projects.
Underpinning research
This work has been carried out by David Wooff (lead) with S. Grace
Stirling, who was appointed
to a two-year Knowledge Transfer Partnership associate position funded by
the ESRC and One
North East (2008-2010, £105,000).
There was little extant methodology available to provide forecasts for
call-centre volumes and
daily patterns of arrival for this kind of problem. Forecasting is
difficult because (1) there are
structural daily effects — the call centre is closed during normal working
hours, but open Saturday
and Sunday; (2) there are thought to be different typical caseloads for
different days of the week,
e.g. Friday night heavy loads; (3) there are calendar effects, e.g.
national holidays, Easter,
Christmas, New Year; (4) general seasonal effects; (5) occasional epidemic
effects, such as
swine flu; (6) drift in demand because of population change or policy
changes affecting service
provision or organisation. The forecasting methodologies tend to fall into
two camps; one is quite
finely detailed, but over-tuned to special features of the application.
Another is insufficiently
detailed, for example standard methodology such as X-ARIMA-12 as used by
the US
Government for economic forecasting, which cannot be used for within-day
forecasts. In seeking
a completely general and widely applicable solution, the Durham team chose
to model the daily
volume of calls using regression models to identify and adjust for the
crucial factors. Daily arrival
rates were modelled using a mix of generalized smoothing and a Poisson
approximation to
arrival times. The resulting models offer excellent forecasts both for
day-to-day forecasts and for
patterns of call arrivals through the day.
A second research theme was identified in the summer of 2009 as a result
of the Swine Flu
epidemic. In addition to forecasting normal patient volumes, there was an
urgent need to react to
increasing volumes because of swine flu. The Durham team thus developed
diagnostic models to
disentangle the normal load from the epidemic load. In collaboration with
the North East England
Strategic Health Authority, thresholds were thereby determined for use
within a pandemic
escalation framework for North East England healthcare institutions in
order to prepare the
institutions for their responsibilities during pandemics, and to trigger
response modes as
pandemics escalate.
The methodology developed in this body of work turned out to be of
relevance beyond the health-care
sector, and was also used in the analysis of cycling data for the
Department of Transport
and SUSTRANS.
References to the research
[1] Wooff, D. A. & Stirling, S. G. (2013), Practical
statistical methods for call centres with a
case study addressing urgent medical care delivery, http://dro.dur.ac.uk/11457.
To appear,
with minor revisions, in the Annals of Operations Research.
[2] Stirling, S.G. & Wooff, D.A. (2011), Statistical
Methods for supporting urgent care
delivery through call centres, in Keynote Papers YoungOR 17,
Nottingham, UK, Monks, T. ed,
The Operational Research Society, pp. 57-78.
[3] Wooff, D. A. & Stirling, S. G. (2011), Forecasting for
urgent medical care call centres, in
Forward look mathematics and industry — success stories, Lery, T.
ed., European Science
Foundation, Strasbourg, p.68.
[4] Stirling, S.G. & Wooff, D.A. (2010), Forecasting for
medical emergency call centres,
Conference presentation, Institute for Mathematical Statistics 73rd
annual conference, 2010,
Gothenburg, Sweden.
Details of the impact
Northern Doctors Urgent Care Group (NDUC) is a not-for-profit
organisation, based in
Newcastle, which is commissioned by the NHS to deliver out-of-hours urgent
GP services. It has
a turnover of £15M and 600 staff. Trained call handlers liaise with
clinicians to provide patients
with appropriate care, including: telephone advice, visit to an Urgent
Care Centre, home visit, or
hospital admission.
In 2008, NDUC was receiving 100,000 calls per annum from the Northumbria
health region
(population 929,000) when it approached Knowledge House, an organisation
that facilitates links
between companies and universities in North East England, requesting a
research partnership
aimed at reducing costs and improving patient care by more accurately
forecasting call volumes
and daily patterns of call arrivals. Durham University responded and
entered into a Knowledge
Transfer Partnership, placing an early career researcher, Grace Stirling,
at NDUC from 2008-10,
supervised by Professor Wooff. The research was conducted during the
period of the KTP and
the results were announced in the talk [4] and summary note [3],
the details being published in
[2] and [1].
The statistical methodology developed in Durham in these works provided
NDUC with a forecast
of numbers of calls arriving during every 30 minutes. Forecasts are made
up to a year in
advance and are highly accurate, facilitating optimum clinical staffing,
which accounted for 64%
of expenditure. NDUC was able to save about £65,000 per year by changing
GP shift patterns in
response to better forecasting. A further £35,000 per year was saved by
introducing a new rota
for call handlers working at weekends.1
These improvements aided business expansion. In 2011 NDUC won a £4.5M per
year contract
to handle non-emergency calls in Teesside (565,000 population) and in 2012
a £4.7M per year
contract to provide a similar service in Staffordshire (700,000
population).
The Chief Executive of NDUC commented that the relationship with Durham
University and the
success of the research-based methodology were `central' to the successful
bid for the
Staffordshire contract, forming a major part of the presentation to the
NHS commissioning body
and providing a distinct competitive edge over the four other bidders. "In
terms of better patient
care, I just think it (the Durham methodology) makes the whole
organisation operate more
effectively... At the busy times, it means we have the right number of
staff to deal with the
patients, so patients don't experience delays ... and then again we are
not having to spend a lot
of money putting too many doctors on, when they are not really needed...
The key thing is that it
enables us to provide a consistent service."2 The resulting
contract was very well-received:
indeed, the Clinical Director for Unplanned Care for Stoke-on-Trent
Clinical Commissioning
Group, Dr Chandra Kanneganti, commented to a local newspaper: "This was a
comprehensive
procurement process involving five possible providers ... I am delighted
that we will be working
with Northern Doctors Urgent Care. They have a proven track record of
delivering out of hours
services." 3
The Teesside assessors positively highlighted the NDUC's response to the
swine flu epidemic in
2009,1 when the Durham methodology enabled diagnostic models to
forecast patient volumes
and disentangle normal load from epidemic load. This allowed NDUC to react
to increasing
volumes and provided the North East England Strategic Health Authority
with timely out-of-hours
data to help as an early warning trigger for the rest of the healthcare
system. Subsequent impact
on public policy was incorporation by the SHA of this second strand of
research into its North
East Escalation Plan for Pandemic Influenza.
The research [1-4] has had further impact in another area of
public policy. SUSTRANS is a
charity which fosters sustainable transport and had previously
collaborated on statistical analysis
of cycling data with Durham University, through the relationship with the
SUSTRANS Research
and Monitoring Unit Project Manager, a Durham graduate. In 2009, the
Project Manager
approached Professor Wooff to evaluate the first phase of the Cycling
Demonstration Town
Programme (CDTP), a multi-agency project funded by the Department for
Transport and local
authorities which had allocated £1m per year to each of six participating
towns between 2005-09
for schemes aimed at stimulating levels of cycling.4 The data
concern automatic daily counts of
cyclists at 111 locations over four years. Counts of cyclists arriving at
locations is structurally the
same as volumes of calls arriving at a call centre, and so the Durham
methodology of [1-4],
which had been developed in the context of call centre data, could be
immediately applied to the
cycling data.
Professor Wooff's data analysis underpinned two evaluation reports
co-authored by the
SUSTRANS Project Manager and published by Cycling England and the
Department for
Transport in 20094,5. This analysis, especially its key figure
of a 27% increase in the cycle count
(unweighted mean percentage change relative to 2005 baseline)5,
had significant political,
economic, environmental and public engagement impacts, as will now be
described.
The 27% figure provided an easy to understand measure upon which the
Government based
further cost-benefit analyses and was quoted extensively in publicity and
media campaigns to
gain acceptance of its policies on cycling, said the Project Manager:
"David's work gave us the possibility to report the change in one number
(27%), which was what
the Government wanted. It helped make the case for further funding for the
Cycling Cities and
Towns (Programme) and other cycling-related projects and more recently
helped make the case
for the (Local) Sustainable Transport Fund. It is still being used in
Government today as one of
the pieces of analysis underpinning a lot of benefit cost ratio
calculation in city or town wide
initiatives." 6
The Cycling Cities and Towns Programme attracted £43M of government
funding for cycle lanes,
enhanced junction crossings, cycle parking facilities, training and
information, from 2008-2011.
An evaluation document7 says the programme was `built on
earlier experience in six Cycling
Demonstration Towns'. This is a reference to the data that was analysed in
the reports 4,5 using
the Durham methodology.
The Government subsequently allocated a further £600M6,8, via
the Local Sustainable Transport
Fund, to integrated projects that encourage green transport. The first
tranche of 39 LSTF projects
funded in July 2011 included 38 with a cycling element9.
Further tranches were funded in May
2012 and June 2012. A further £62M has been spent on `other projects on
cycling' during this
period6. These include projects funded through block
allocations by government to local transport
authorities.9
Sources to corroborate the impact
- Knowledge Transfer Partnership final report (copy held in
Durham) and collaboration page
http://info.ktponline.org.uk/action/details/partnership.aspx?id=6732
- Interview with the Chief Executive, NDUC, 6 December 2012.
(Sound file held in Durham.)
- Leek Post and Times (Staffordshire local newspaper), http://www.leek-news.co.uk/Leek-News/New-out-of-hours-provider-announced-04122012.htm
- Introduction to `Analysis and Synthesis of Evidence on the
Effects of Investment in Six Cycling
Demonstration Towns' (November 2009), Department for Transport.
http://webarchive.nationalarchives.gov.uk/20110407094607/http://www.dft.gov.uk/cyclingengland/site/wp-content/uploads/2010/03/analysis-and-synthesis-report.pdf
- Pages 1-2 of `Cycling Demonstration Towns: Monitoring Project
Report 2006 to 2009'
(November 2009), Cycling England.
http://webarchive.nationalarchives.gov.uk/20110407094607/http://www.dft.gov.uk/cyclingengland/site/wp-content/uploads/2009/12/cdts-monitoring-project-report-2006-09.pdf
- Written testimony from the SUSTRANS Research and Monitoring
Unit Project Manager, April
2013. (Email kept on file in Durham.)
- Introduction to Executive Summary, Evaluation of the Cycling
City and Towns Programme
Interim Report (January 2011). AECOM, Centre for Transport and Society,
The Tavistock
Institute. (Copy kept in Durham.)
- Written statement to Parliament by Norman Baker, Parliamentary
Under Secretary of State for
Transport, 27 June 2012, available at https://www.gov.uk/government/speeches/266-million-investment-in-local-sustainable-transport-schemes
(accessed 17/10/2013).
- Parliamentary Questions information, Parliamentary Advisory
Council for Transport Safety (24
February 2012), available at http://www.pacts.org.uk/2012/02/pqs-20th-23rd-2/
(accessed
17/10/2013).