Mathematical modelling drives conservation efforts and policy to prevent squirrelpox spread and the replacement of red squirrels by invasive greys in the UK.
Submitting Institutions
University of Edinburgh,
Heriot-Watt UniversityUnit of Assessment
Mathematical SciencesSummary Impact Type
EnvironmentalResearch Subject Area(s)
Environmental Sciences: Environmental Science and Management
Biological Sciences: Ecology, Evolutionary Biology
Summary of the impact
Mathematical modelling of squirrel populations published in 2003 by White
(Maxwell Institute), Tompkins and Boots (Stirling) highlighted how
squirrelpox virus transmitted by invasive grey squirrels to reds is a
critical factor in the decline of UK red squirrels. As a consequence of
this research the role of squirrelpox is now universally accepted. This
has had an impact on policy and practice since 2006 with priority given to
the control of grey squirrel numbers in order to prevent the spread of
squirrelpox. The modelling framework developed at the Maxwell Institute
was reported to the Saving Scotland's Red Squirrel steering group and has
been used to design the conservation strategies currently applied
throughout Scotland. The research has therefore had an impact on the
environment, contributing to the mitigation of a problem that is estimated
to cost £14M/year to the UK economy.
Underpinning research
Since its introduction into the UK, the grey squirrel has `replaced' the
native red squirrel throughout most of England and Wales, and in parts of
Scotland and Ireland. There are now only certain regions in which the red
squirrel survives and maintaining these populations is a conservation
priority. As such the UK red squirrel is a protected species (Nature
Conservation Act 2004) and was one of the first species identified for
conservation under the UK Biodiversity Action Plan (DEFRA 2007).
Mathematical model. The focal publication by White (Maxwell
Institute), who led the mathematical model development and analysis,
Tompkins and Boots [1] employs mathematical modelling techniques to
provide evidence that squirrelpox infection was a key driver of the rapid
replacement of red squirrels by greys in the UK. The modelling framework
and mathematical analysis were developed by White as part of an EPSRC-NERC
Environmental Mathematics and Statistics Fellowship (NER/T/S/2002/00162).
The model consists of a system of five nonlinear ODEs that represent
competition for resources and transmission of squirrelpox virus that is
carried by, but avirulent to, the grey squirrels yet lethal to reds. The
occurrence of squirrelpox virus was known prior to this paper but this
study was the first to show that squirrelpox accelerates the process of
replacement and therefore that disease was a causative factor in the
decline of red squirrels in the UK. Moreover, the findings predicted that
the instantaneous number of infections was low even though the effect on
the population dynamics was marked, indicating that low visibility did not
equate to low importance of the disease. This explained the difficulty in
observing such infection in the field and why squirrelpox was previously
overlooked as a key determinant of red replacement.
In addition to outlining the underlying mechanisms that drive the
red/grey/squirrelpox interaction the publication [1] broadened our
understanding of the processes underlying ecological invasions in general
with the model framework becoming a textbook theoretical example from
which to understand the importance of parasites introduced with invading
competitive species (Keeling and Rohani, Modelling infectious diseases
in humans and animals, 2008). The specific methods are applicable
for studying the replacement of red squirrels by greys across Europe
(greys pose a threat in Italy, France, Switzerland and Germany). Moreover,
disease-mediated invasion is a global widespread phenomenon that effects a
wide range of taxa (Strauss, A. et al., Functional Ecology,
26, 1249-1261, 2012) and mathematical techniques outlined in [1]
can be applied to a wide range of other ecologically important systems in
which disease carrying invaders threaten native species (e.g. in an
analogous manner native crayfish populations are threatened at the global
scale from the spread of crayfish plague carried by the introduced signal
crayfish).
Attribution. A. R. White has been with the Maxwell Institute since
1999. D. M. Tompkins and M. Boots were at the University of Stirling
during the period of the underpinning research.
References to the research
This mathematical study was published in Ecology Letters (the top journal
in the field) to ensure it received maximum exposure to a biological
audience and to conservation practitioners. (Cited by 156; Ecology Letters
Impact Factor — 17.557, Ranked 1/131 in Ecology.)
Grant
EPSRC-NERC Environmental Mathematics and Statistics Fellowship
(NER/T/S/2002/00162), 'Spatial modelling techniques applied to ecological
and laboratory systems' (2003). Value £100K.
Details of the impact
The paper [1] received keen media interest leading to dissemination of
results to the wider public [2-6] and to the now widely accepted view that
squirrelpox is a key determinant in the replacement of red squirrels by
greys. The work has greatly improved public understanding of this issue as
evidenced by many subsequent media articles highlighting the disease
threat to red squirrels (e.g. there are 74 news articles on the BBC
website alone since 2008 discussing the threat from squirrelpox to red
squirrels — search `pox squirrel').
The publication has had an impact on environmental policy in Government
and NGO sectors guiding specific management and planning decisions to
bring about environmental benefits through the conservation of a key
threatened native species. The economic impact of the research, though
difficult to quantify, is not negligible: it is estimated that the
invasion of grey squirrels have cost the British economy £14 million per
annum [2]. Large-scale control of grey squirrels (trapping and removal of
greys) has been implemented in an attempt to reduce grey abundance to a
level that will not support disease persistence and therefore prevent its
spread. These procedures which began in 2006 are ongoing and are
implemented at large scale across the UK to protect remaining red squirrel
populations. Evidence of these impacts is outlined below.
Scottish Natural Heritage (SNH) identified key sites where
management to benefit red squirrels should be prioritised with the central
aim `to maintain viable self-sustaining populations of red squirrels in
the future' [7]. The report states that `Tompkins et al. (2003)
[1] have demonstrated that, even at low levels of infection in grey
squirrels, squirrelpox virus accelerates the process of replacement and
has therefore been a crucial factor in the decline of red squirrels in the
UK.' The impact of the Maxwell Institute's research [1] was therefore to
highlight potential risks associated with the infection. Its findings were
incorporated in the `Scottish Red Squirrel Action Plan 2006-2011' [8],
launched by SNH, Forestry Commission Scotland (FCS) and the Scottish
Government, one of the aims of which is to halt the decline of red
squirrel populations and slow down or contain the spread of deadly
squirrelpox. Control strategies were implemented on the ground from 2008.
In practice in regions where disease incidence is reported in greys they
are trapped and removed with the aim of eradicating squirrelpox (locally).
This work is ongoing with the Government and NGO sectors coordinating
their effort through Saving Scotland's Red Squirrel (SSRS) — http://www.scottishsquirrels.org.uk/
). A further impact since 2008 was the initiation of targeted
control of greys aimed at slowing and containing the spread of squirrelpox
and the establishment of 18 red squirrel strongholds, totalling
approximately 100,000 hectares, throughout Scotland, in which greys and
squirrelpox can be excluded. The SSRS budget to implement squirrelpox
control is approximately £400K per year (similar schemes run in England
and Wales). Therefore as a result of [1] disease management is at the
forefront of red squirrel conservation strategies [8-10] with red squirrel
stronghold locations chosen to minimise infection risk.
In 2013 White entered a partnership agreement with SNH to provide `A
Modelling Assessment of Control Strategies to Prevent/Reduce Squirrelpox
Spread'. The modelling assessment extended the framework of [1] and
assessed current grey squirrel control efforts indicating that they had
reduced the rate of spread of squirrelpox but would not prevent the
disease from expanding to occupy most regions of Southern Scotland over
the next 5-10 years. The work highlighted how the spread of disease to the
currently disease-free high density populations of Central Scotland may be
prevented by targeting grey control to specific dispersal routes
(pinch-points). The model study also assessed the impact of potential grey
squirrel control beyond the Central Lowlands of Scotland that will act as
a contingency should squirrelpox reach the Central Scotland populations,
the impact of squirrelpox at the interface between red and grey
populations in Highland Scotland and the viability of control measures at
regional strongholds that support red squirrel populations. The model
results were presented at the SSRS Steering Group meetings in 2013 and
were fundamental in shaping an options paper [10] that outlined the
proposed strategies for protecting red squirrels from 2014. The options
paper reports that `Grey squirrel control is responding to the modelling
work ... where control in the identified pinch-point areas is already
taking place', and the SSRS preferred option intends to `increase
resourcing to allow greater coverage of the remaining pinch-point areas'
outlined by the model study. Thus, the model results are fundamental in
shaping current and future policy and for planning the allocation of
resources.
A key strategic stronghold for red squirrel conservation is the Isle of
Arran. In 2012 the Arran Red Squirrel Assessment, FCS [11] stated that
research should `evaluate the risk of disease spread on Arran through the
use of modelling approaches. The paper [1] highlighted the threat posed by
squirrelpox on the population abundance of red squirrels. They showed that
a squirrelpox epidemic could lead to the rapid reduction in red
abundance.' The Maxwell Institute is assisting FCS with the development of
modelling strategies to assess the disease risk posed to red squirrel
populations on Arran. The investigation extends the mathematical framework
developed in [1] and designs strategies that limit the spread and severity
of squirrelpox outbreaks.
Sources to corroborate the impact
[2] Williams, F., et al., The Economic Cost of Invasive
Non-Native Species on Great Britain, CABI Report, (2010).
http://www.maths.ed.ac.uk/~mthdat25/conservation/The_Economic_Cost_of_Invasive_Non-Native_Species_to_Great_Britain
[3] `UK Red Squirrel Drop: Are Gray Squirrels to blame.' National
Geographic, May 2 (2003). http://news.nationalgeographic.co.uk/news/2003/05/0502_030502_redsquirrels.html
[4] `Conquest by Disease Carriers.' Editor's research highlights, Science,
299, 1947 (2003). http://dx.doi.org/10.1126/science.299.5615.1947c
[5] `Counting on squirrels for help.' The Scotsman, January 14,
page 42 (2005). http://www.scotsman.com/news/sci-tech/counting-on-squirrels-for-help-1-671374
[6] `New research may be able to save the declining red squirrel
population — and it's all done with maths.' The Guardian, 22
February, (2005).
http://www.theguardian.com/education/2005/feb/22/highereducation.workinprogress
[7] Poulsom, L., Griffiths, M., Broome, A. and Mayle, B, Identification
of priority woodlands for red squirrel conservation in North and Central
Scotland: a preliminary analysis, Scottish Natural Heritage
Commissioned Report No. 089 (ROAME No. F02AC334) (2005).
http://www.snh.org.uk/pdfs/publications/commissioned_reports/f02ac334.pdf
[8] Scottish Red Squirrel Action Plan 2006-2011. Forestry Commission
Scotland, Scottish Executive, Scottish Natural Heritage. http://www.snh.gov.uk/docs/A40765.pdf
[9] A Modelling Assessment of Control Strategies to Prevent/Reduce
Squirrelpox Spread. This is a partnership project between Heriot-Watt
University and Scottish Natural Heritage. Copies available from SNH
employee who can also corroborate the factual claims of the impact of this
modelling work on policy.
[10] Project Manager, SWT can provide details of the options paper
presented at the SSRS steering group meetings in 2013 and corroborate how
the mathematical modelling results are being used inform current policy
and practice in Scotland.
[11] Arran Red Squirrel Assessment. 2012. Forestry Commission Scotland.
Available from Ecological Consultant to the Forestry Commission Scotland
and/or District Forrester, Forestry Commission Scotland.