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Landscape modelling spatial bottlenecks: implications for
raccoon rabies disease spread
Erin E. Rees, Bruce A. Pond, Catherine I. Cullingham, Rowland R. Tinline, David Ball, Christopher J.
Kyle and Bradley N. White
Biol. Lett. 2009 5, 387-390 first published online 25 March 2009
doi: 10.1098/rsbl.2009.0094


Supplementary data                  "Data Supplement"
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                                        Biol. Lett. (2009) 5, 387–390           greater barrier to raccoon movement in NIA than the
                                         doi:10.1098/rsbl.2009.0094             St Lawrence River in STL (Rees et al. 2008a), thus,
                                      Published online 25 March 2009            keeping the number of infected immigrants into NIA,
Population genetics                                                             Ontario below a threshold for which rabies is detected
                                                                                or becomes epizootic; however, the shape of available
                                                                                habitat (landscape configuration) can also affect the
Landscape modelling                                                             number of animals moving among regions (McRae &
                                                                                Beier 2007).
spatial bottlenecks:                                                               Genetic analysis of raccoons along the Ontario–NY
                                                                                border (Cullingham et al. 2009) revealed the presence
implications for raccoon                                                        of genetically distinct raccoon populations on either
                                                                                side of the Niagara River, but only one population
rabies disease spread                                                           spanning the St Lawrence River. Both regions have
Erin E. Rees1,*, Bruce A. Pond2,                                                similar habitats and experience comparable rabies
Catherine I. Cullingham1, Rowland R. Tinline3,                                  control efforts. In view of these factors, it appears that
                                                                                there is a greater resistance to cross-border move-
David Ball3, Christopher J. Kyle1
                                                                                ments in the NIA region, which we suspect is caused
and Bradley N. White1
1
                                                                                by the narrowing of land between NY and Ontario as
 Natural Resources DNA Profiling and Forensic Centre, and                        bounded by lakes Ontario and Erie. Hence, we test
2
 Wildlife Research and Development Section, Ontario Ministry of
Natural Resources, Trent University, DNA Building, 2140 East Bank               the hypothesis that landscape configuration in NIA
Drive, Peterborough, Ontario K9J 7B8, Canada                                    constricts movement of raccoons between NY and
3
 Department of Geography, Queen’s GIS Laboratory,                               Ontario. We predict that the peninsular shape acts as
Queen’s University, Kingston, Ontario K7L 3N6, Canada
*Author for correspondence (rees@ualberta.ca).
                                                                                a spatial bottleneck and creates two genetically
                                                                                distinct populations. We use the Ontario Rabies
A landscape genetic simulation modelling                                        Model (ORM), an individual-based, spatially explicit
approach is used to understand factors affecting                                stochastic genetic simulation model (see the elec-
raccoon rabies disease spread in southern                                       tronic supplementary material) to simulate raccoon
Ontario, Canada. Using the Ontario Rabies
                                                                                colonization from NY into Ontario separately in NIA
Model, we test the hypothesis that landscape
configuration (shape of available habitat) affects                               and the STL, and analyse their genetic structures
dispersal, as indicated by genetic structuring. We                              through time. The STL landscape acts as our control
simulated range expansions of raccoons from                                     because it has no landscape constriction. Our
New York into vacant landscapes in Ontario, in                                  approach (i) characterizes landscape constriction
two areas that differed by the presence or absence                              effects on gene flow and (ii) provides insight into
of a landscape constriction. Our results provide                                raccoon rabies spread.
theoretical evidence that landscape constriction
acts as a vicariant bottleneck. We discuss impli-
cations for raccoon rabies spread.
                                                                                2. MATERIAL AND METHODS
Keywords: raccoon rabies; landscape genetics;                                   The ORM simulates raccoon population dynamics (e.g. reproduc-
infectious disease; modelling; Procyon lotor                                    tion, mortality, dispersal) of individuals residing in a virtual
                                                                                landscape of contiguous hexagonal cells of 10.23 km2, the approxi-
                                                                                mate activity range of raccoons in Ontario (Rosatte 2000; see the
                                                                                electronic supplementary material). The model operates at weekly
                                                                                time steps (e.g. mating occurs at week 9 (end of February) and
1. INTRODUCTION                                                                 parturition occurs at week 18 (end of April)). ORM events are
Molecular ecology and landscape genetics offer inno-                            stochastically determined by randomly drawing a value from
vative approaches to the field of disease ecology                                parameter distribution functions (Rees et al. 2008b). We used the
                                                                                ORM to simulate bi-parental genetic inheritance of microsatellite
(Archie et al. 2009). Application of these method-                              markers assuming no new alleles arise through mutation or
ologies promises to improve our understanding of                                recombination, since this is unlikely to be significant over the
disease spread by characterizing factors affecting                              simulation period (Avise 2004). We used neutral genetic markers
                                                                                because they are not subject to selective pressures, thus distribute
movement and connectivity among individuals in the                              as a result of mating and dispersal processes, acting as a ‘tag’ to
vector populations. We apply a model-based land-                                identify spatio-temporal patterns arising from these processes.
scape genetic approach to explore factors affecting                                 To test landscape configuration effects on gene flow, we modelled
                                                                                raccoon range expansions in NIA (438 N, 798 W ) and STL (448 N,
raccoon rabies spread in the Great Lakes region of                              758 W) (figure 1). The NIA study area is composed of 2255 cells
North America (figure 1). Raccoons (Procyon lotor)                               representing approximately 23 070 km2 on either side of the Niagara
are the primary vector of this rabies variant                                   River. STL, the control landscape, is a rectangle of 2500 cells,
                                                                                approximately 25 575 km2. We did not simulate the rivers in either
( Winkler & Jenkins 1991). Southern Ontario is at                               landscape, to prevent confounding the effects of rivers and landscape
high risk for rabies because it is adjacent to endemic                          constrictions on influencing dispersal movements.
areas in New York (NY) and Quebec. For the past                                     In separate NIA and STL model simulations, raccoons
                                                                                expanded from NY to colonize ‘uninhabited’ Ontario. We expected
decade, the shortest geographical distance for raccoon                          genetic homogenization to occur more slowly in NIA because of
movement with disease spread into Ontario has been                              the landscape constriction. Consequently, we ran the NIA coloniza-
from the Niagara (NIA) region in NY; however,                                   tion process for 2200 years and only 1000 years in STL. The NY
rabies has never been detected in NIA, Ontario. The                             ‘origin’ populations were tagged at time 0 with microsatellite
                                                                                markers at field-observed frequencies for which linkage and
first Ontario cases were detected in 1999 in the                                 Hardy–Weinberg equilibrium had been confirmed (Cullingham
St Lawrence region (STL; Wandeler & Salsberg                                    et al. 2009). For NIA and STL, five simulations were run to
1999). It is possible that the Niagara River acts as a                          capture variation from model stochasticity.
                                                                                    One raccoon was randomly sampled per cell from the entire
Electronic supplementary material is available at http://dx.doi.org/10.         landscape in NIA, subclassified as three regions (NIAorigin ,
1098/rsbl.2009.0094 or via http://rsbl.royalsocietypublishing.org.              NIAconstriction and NIAdestination). In the STL, we reduced analysis

Received 4 February 2009
Accepted 26 February 2009                                                 387                             This journal is q 2009 The Royal Society
Downloaded from rsbl.royalsocietypublishing.org on June 24, 2012


388     E. E. Rees et al.      Spatial bottlenecks and raccoon rabies

           (a)                                                              (c)                                       colonization
                                                                                                                      direction
       N
                                                                                  D                                               E
                                                                   Ottawa

                                                         Toronto
                                                                    STL                                               0 15 30     60 km
                                                           NIA




           (b)                             Toronto                                                   Lake Ontario

                                                      Niagara River



                        A

                                                                                  colonization
                                                     B
                                                                                  direction

                                                                                                 C


                             Lake Erie
                                                                                                                                New York


                                                                                                                    0 12.5 25         50 km


Figure 1. (a) Location of ORM landscapes in eastern North America. (b) NIA landscape and three sampling regions
(A, NIAdestination; B, NIAconstriction; C, NIAorigin) for allelic diversity measures. Cell shade represents membership of one
raccoon sampled for each cell to a unique cluster, as identified by STRUCTURE using an assignment probability of 0.8 or
more, after 250 years of a colonization process. (c) STL landscape and two sampling regions (D, STLdestination; E, STLorigin)
for allelic diversity measures.


time and still maintaining sufficient data for objective analysis by          years of range expansion (table 1), where the genetic
sampling two raccoons every two to three cells across the STL                boundary occurs at least 30 km west of the Niagara
landscape. This landscape was subclassified as STLorigin and
STLdestination (figure 1). This sampling scheme enabled us to assess          River (figure 2). Also in NIA, genetic homogenization
population structure over the length of the landscapes, and                  develops in scenarios with two genetic clusters after
compare that with the structure within the constriction. We used             2000 years. At this point, there is an equal likelihood
STRUCTURE v. 2.2 (Pritchard et al. 2000) to determine the number
of genetic clusters (KZ1–5) 250 years after colonization (KO5 is
                                                                             of individuals being unassigned or assigned to one of
unlikely; Cullingham et al. 2009), the approximate time period               two clusters (table 2).
during which raccoons have colonized NIA, Ontario (Trigger et al.               Among all regions, allelic richness in both source
2000). We continued to test for KZ2 in NIA at 50–200 year                    populations (NIAorigin and STLorigin) are most similar
intervals up to 2200 years, and checked in the STL every 100 years
up to 1000 years, after the start of colonization. STRUCTURE was             to each other and similarly decreases over time at a
run using a conservative admixture model that assumed correlated             comparable rate (figure 2). The NIAconstriction is the
allele frequencies. Three independent tests were conducted for each K,       only other region that experiences a monotonic
with 500 000 Markov Chain Monte Carlo cycles each for burn-in
and data collection. Individuals were assigned to a cluster if average
                                                                             decline in allelic richness. In the founded populations,
probability of ownership was 0.8 or more. We determined the most             NIAdestination, allelic richness increases from 75 to 150
likely number of genetic population clusters using the Evanno                years and then declines from 250 years. This trend is
algorithm (Evanno et al. 2005) and calculated the number                     similar for STLdestination, but diversity in this region
of individuals assigned to each cluster. From the same sample of
raccoons, we calculated mean number of alleles (allelic richness)            is greater and does not decrease until 800 years.
for the aforementioned regions in NIA and STL, approximately
every 100 years, up to 1000 years since colonization, using CERVUS
v. 3.0.3 (Kalinowski et al. 2007).                                           4. DISCUSSION
                                                                             We undertook a landscape genetic approach to
                                                                             investigate NIA and STL population structures
3. RESULTS                                                                   because we hypothesized that factors influencing their
Despite not modelling the Niagara River barrier                              structures are also affecting rabies disease spread. By
effect, the Evanno algorithm identifies two distinct                          simulating colonization events in these landscapes, in
genetic clusters on either side of the Niagara River as                      the absence of a river barrier effect, we can assess
being the most likely population structure after 250                         how landscape configuration affects population

Biol. Lett. (2009)
Downloaded from rsbl.royalsocietypublishing.org on June 24, 2012


                                                                                 Spatial bottlenecks and raccoon rabies E. E. Rees et al.          389

Table 1. STRUCTURE results from sampling the NIA landscape 250 years after colonization: number of individuals unassigned
(U ) and assigned (C ) to clusters with a probability of ownership of 0.8 more. (KZ2 is most likely because the mean of the
estimated logarithms of probability of data (ln Pr(XjK ) across KZ1 – 5 has the greatest rate of change (DK ) at KZ2, as
calculated following Evanno et al. (2005). Values are means from five runs of the ORM with identical starting conditions.)

                                                                             mean number individuals (Gs.d.)

K                      mean ln Pr(XjK ) (Gs.d.)       DK      U              C1              C2              C3            C4            C5

1                      K92 674.7   (G218.2)            0.00   0 (G0)         2255 (G0)       —               —             —             —
2                      K87 411.6   (G232.6)           22.57   134 (G16)      1550 (G12)      571 (G6)        —             —             —
3                      K87 400.1   (G278.7)            0.80   1097 (G68)     542 (G6)        277 (G27)       339 (G65)     —             —
4                      K87 611.1   (G221.7)            1.90   1471 (G97)     511 (G11)       57 (G46)        65 (G48)      151 (G9)      —
5                      K88 244.1   (G614.1)           —       1636 (G19)     457 (G46)       0 (G1)          2 (G4)        32 (G40)      128 (G17)


                       20                                                             Table 2. STRUCTURE results from testing for KZ2 by
                       18                                                             analysing 2255 raccoons in NIA and 560 raccoons in STL
                       16                                                             that were evenly sampled across both model landscapes.
                                                                                      (Estimated logarithms of probability of data (est ln prob)
    allelic richness




                       14
                                                                                      are shown, as well as the number of individuals unassigned
                       12
                                                                                      and assigned (spatially congruent with source and destina-
                       10                                                             tion regions) with a probability of ownership R 0.8. Values
                        8                                                             are means from five runs of the ORM with identical starting
                        6                                                             conditions.)
                        4
                        2                                                             year     est ln prob    unassigned     NIAorigin   NIAdestination

                        0          200        400       600       800     1000        NIA
                                         years since colonization                      150     K88 021.1       96            1622        537
                                                                                       200     K87 881.7      100            1602        553
Figure 2. Allelic richness for NIA and STL landscapes at                               250     K87 123.5      156            1533        561
approximately 100-year intervals over 1000 years of coloni-                            450     K84 093.9      302            1329        624
zation. Allelic richness is calculated from raccoons sampled                           650     K79 595.1      337            1204        714
for regions: NIAorigin (nZ1491, filled circles); NIAconstriction                        750     K77 078.8      335            1176        744
(nZ278, filled triangles); NIAdestination (nZ486, filled                                 850     K74 056.1      427            1099        729
squares); STL origin (nZ550, open squares); and                                        950     K71 359.5      426            1090        739
STLdestination (nZ550, open circles).                                                 1200     K64 045.6      380            1063        812
                                                                                      1300     K61 107.6      435             999        821
                                                                                      1400     K59 837.3      546             880        829
genetic structure over time. In our simulations, KZ2                                  1600     K56 115.6      599             847        809
is the most likely genetic structure in NIA, and it                                   1800     K54 070.1      668             831        756
persists for at least 1000 years; whereas in STL, only                                1900     K52 496.1      708             781        766
one genetic cluster is evident through time. The NIA                                  2000     K51 251.9      784             761        710
structure arises from the newly founded population                                    2100     K50 424.2      800             767        688
                                                                                      2200     K48 879.6      683             843        729
being dominated by the genetic material of the
colonizers. Expanding populations are typically lower                                 year     est ln prob    unassigned    STL origin   STL destination
in density along their periphery, facilitating genetic
                                                                                      STL
drift to fix or lose alleles, and thus increasing the
                                                                                       100     K18 099.7      379           93           87
likelihood of genetic differentiation from the source                                  200     K18 346.2      437           65           59
population (Excoffier & Ray 2008). The landscape                                        300     K18 466.8      466           47           47
constriction in NIA is literally a spatial bottleneck                                  400     K19 546.4      472           45           43
accentuating founder effects. For both NIAdestination                                  500     K18 659.2      460           52           49
and STLdestination, allelic richness initially increased as                            600     K18 866.1      453           54           53
colonizers filled the region; however, the landscape                                    700     K18 503.6      461           47           52
constriction reduced the rate at which colonizers                                      800     K18 311.1      387           86           87
                                                                                       900     K18 071.1      446           57           57
entered NIAdestination. Consequently, colonizers had a
                                                                                      1000     K18 007.3      486           38           37
smaller influence on the NIAdestination population over
time; with fewer colonizers adding to genetic diver-
sity, genetic drift would have a stronger relative                                    rabies spread in NIA by reducing the rate at which
influence on the population, as indicated by earlier                                   infected raccoons enter Ontario below a level necess-
declines in allelic richness in NIAdestination than                                   ary to establish a rabies outbreak. We are not
STLdestination.                                                                       implying that the Niagara River or rabies control
   Landscape configuration has been found to be a                                      strategies have no effect on preventing disease spread
significant factor structuring populations in other                                    into NIA, Ontario; however, the Canada–USA land-
theoretical and empirical systems (Biek et al. 2007;                                  scape constriction in NIA is an additional factor
McRae & Beier 2007). We suggest that it affects                                       keeping NIA Ontario disease-free.

Biol. Lett. (2009)
Downloaded from rsbl.royalsocietypublishing.org on June 24, 2012


390     E. E. Rees et al.   Spatial bottlenecks and raccoon rabies

   In simulation modelling, the quality of model                   Evanno, G., Regnaut, S. & Goudet, J. 2005 Detecting the
output depends on appropriate representation of                       number of clusters of individuals using the software
system processes. ORM has been validated (Rees                        STRUCTURE: a simulation study. Mol. Ecol. 14, 2611–2620.
2008; Rees et al. 2008a), so we are confident of its                   (doi:10.1111/j.1365-294X.2005.02553.x)
                                                                   Excoffier, L. & Ray, N. 2008 Surfing during population
ability to represent raccoon ecology and genetics. Our                expansions promotes genetic revolutions and structura-
approach demonstrates the value of using landscape                    tion. Trends Ecol. Evol. 23, 347–351. (doi:10.1016/j.tree.
genetics to understand disease spread. The flexible                    2008.04.004)
structure of the ORM enables testing of factors                    Kalinowski, S. T., Taper, M. L. & Marshall, T. C. 2007
hypothesized to affect animal movements, gene flow,                    Revising how the computer program CERVUS accommo-
and hence, the spread of infectious disease, from                     dates genotyping error increases success in paternity
which we conclude that the narrowing of land in NIA                   assignment. Mol. Ecol. 16, 1099–1106. (doi:10.1111/
is an important factor reducing the risk of raccoon                   j.1365-294X.2007.03089.x)
                                                                   McRae, B. H. & Beier, P. 2007 Circuit theory predicts gene
rabies spread into NIA, Ontario.
                                                                      flow in plant and animal populations. Proc. Natl Acad.
                                                                      Sci. USA 104, 19 885–19 890. (doi:10.1073/pnas.
We are grateful to the Rabies Research and Development                0706568104)
Unit of the Ontario Ministry of Natural Resources                  Pritchard, J. K., Stephens, M. & Donnelly, P. 2000
(OMNR). This research has been supported by a strategic               Inference of population structure using multilocus geno-
grant from the Natural Sciences and Engineering Research              type data. Genetics 155, 945–959.
Council of Canada to B.N.W., Trent University and by a             Rees, E. E. 2008 Approaches to modelling raccoon rabies.
collaborative research agreement between the OMNR and                 PhD thesis, Trent University, Canada.
Queen’s University GIS Laboratory, Canada.                         Rees, E. E., Pond, B. A., Cullingham, C. I., Tinline, R. R.,
                                                                      Ball, D., Kyle, C. J. & White, B. N. 2008a Assessing a
                                                                      landscape barrier using genetic simulation modelling: impli-
                                                                      cations for raccoon rabies management. Prev. Vet. Med. 86,
                                                                      107–123. (doi:10.1016/j.prevetmed.2008.03.007)
Archie, E. A., Luikart, G. & Ezenwa, V. O. 2009 Infecting
                                                                   Rees, E. E., Pond, B. A., Phillips, J. R. & Murray, D. L.
   epidemiology with genetics: a new frontier in disease
                                                                      2008b Raccoon ecology database: a resource for popu-
   ecology. Trends Ecol. Evol. 24, 21–30. (doi:10.1016/j.tree.
                                                                      lation dynamics modelling and meta-analysis. Ecol.
   2008.08.008)                                                       Inform. 3, 87–96. (doi:10.1016/j.ecoinf.2008.01.002)
Avise, J. A. 2004 Molecular markers, natural history,              Rosatte, R. C. 2000 Management of raccoons (Procyon
   and evolution, 2nd edn. Sunderland, MA: Sinauer                    lotor) in Ontario, Canada: do human intervention and
   Associates, Inc.                                                   disease have significant impact on raccoon populations?
Biek, R., Henderson, C. J., Waller, L. A., Rupprecht, C. E.           Mammalia 64, 369–390.
   & Real, L. A. 2007 A high-resolution genetic signature          Trigger, B. G., Washburn, W. E., Salomon, F., Adams,
   of demographic and spatial expansion in epizootic rabies           R. E. W., Schwartz, S. B. & MacLeod, M. J. 2000 The
   virus. Proc. Natl Acad. Sci. USA 104, 7993–7998.                   Cambridge history of the native peoples of the Americas.
   (doi:10.1073/pnas.0700741104)                                      Cambridge, UK: Cambridge University Press.
Cullingham, C. I., Kyle, C. J., Pond, B. A., Rees, E. E. &         Wandeler, A. & Salsberg, E. 1999 Raccoon rabies in eastern
   White, B. N. 2009 Differential permeability of rivers to           Ontario. Can. Vet. J. 40, 731–731.
   raccoon gene flow corresponds to rabies incidence in             Winkler, W. & Jenkins, S. 1991 Raccoon rabies. In The
   Ontario, Canada. Mol. Ecol. 18, 43–53. (doi:10.1111/               natural history of rabies, 2nd edn (ed. G. M. Baer),
   j.1365-294X.2008.03989.x)                                          pp. 240–325. Boca Raton, FL: CRC Press.




Biol. Lett. (2009)

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  • 1. Downloaded from rsbl.royalsocietypublishing.org on June 24, 2012 Landscape modelling spatial bottlenecks: implications for raccoon rabies disease spread Erin E. Rees, Bruce A. Pond, Catherine I. Cullingham, Rowland R. Tinline, David Ball, Christopher J. Kyle and Bradley N. White Biol. Lett. 2009 5, 387-390 first published online 25 March 2009 doi: 10.1098/rsbl.2009.0094 Supplementary data "Data Supplement" http://rsbl.royalsocietypublishing.org/content/suppl/2009/03/20/rsbl.2009.0094.DC1.ht ml References This article cites 12 articles, 3 of which can be accessed free http://rsbl.royalsocietypublishing.org/content/5/3/387.full.html#ref-list-1 Subject collections Articles on similar topics can be found in the following collections ecology (538 articles) environmental science (117 articles) health and disease and epidemiology (56 articles) Email alerting service Receive free email alerts when new articles cite this article - sign up in the box at the top right-hand corner of the article or click here To subscribe to Biol. Lett. go to: http://rsbl.royalsocietypublishing.org/subscriptions
  • 2. Downloaded from rsbl.royalsocietypublishing.org on June 24, 2012 Biol. Lett. (2009) 5, 387–390 greater barrier to raccoon movement in NIA than the doi:10.1098/rsbl.2009.0094 St Lawrence River in STL (Rees et al. 2008a), thus, Published online 25 March 2009 keeping the number of infected immigrants into NIA, Population genetics Ontario below a threshold for which rabies is detected or becomes epizootic; however, the shape of available habitat (landscape configuration) can also affect the Landscape modelling number of animals moving among regions (McRae & Beier 2007). spatial bottlenecks: Genetic analysis of raccoons along the Ontario–NY border (Cullingham et al. 2009) revealed the presence implications for raccoon of genetically distinct raccoon populations on either side of the Niagara River, but only one population rabies disease spread spanning the St Lawrence River. Both regions have Erin E. Rees1,*, Bruce A. Pond2, similar habitats and experience comparable rabies Catherine I. Cullingham1, Rowland R. Tinline3, control efforts. In view of these factors, it appears that there is a greater resistance to cross-border move- David Ball3, Christopher J. Kyle1 ments in the NIA region, which we suspect is caused and Bradley N. White1 1 by the narrowing of land between NY and Ontario as Natural Resources DNA Profiling and Forensic Centre, and bounded by lakes Ontario and Erie. Hence, we test 2 Wildlife Research and Development Section, Ontario Ministry of Natural Resources, Trent University, DNA Building, 2140 East Bank the hypothesis that landscape configuration in NIA Drive, Peterborough, Ontario K9J 7B8, Canada constricts movement of raccoons between NY and 3 Department of Geography, Queen’s GIS Laboratory, Ontario. We predict that the peninsular shape acts as Queen’s University, Kingston, Ontario K7L 3N6, Canada *Author for correspondence (rees@ualberta.ca). a spatial bottleneck and creates two genetically distinct populations. We use the Ontario Rabies A landscape genetic simulation modelling Model (ORM), an individual-based, spatially explicit approach is used to understand factors affecting stochastic genetic simulation model (see the elec- raccoon rabies disease spread in southern tronic supplementary material) to simulate raccoon Ontario, Canada. Using the Ontario Rabies colonization from NY into Ontario separately in NIA Model, we test the hypothesis that landscape configuration (shape of available habitat) affects and the STL, and analyse their genetic structures dispersal, as indicated by genetic structuring. We through time. The STL landscape acts as our control simulated range expansions of raccoons from because it has no landscape constriction. Our New York into vacant landscapes in Ontario, in approach (i) characterizes landscape constriction two areas that differed by the presence or absence effects on gene flow and (ii) provides insight into of a landscape constriction. Our results provide raccoon rabies spread. theoretical evidence that landscape constriction acts as a vicariant bottleneck. We discuss impli- cations for raccoon rabies spread. 2. MATERIAL AND METHODS Keywords: raccoon rabies; landscape genetics; The ORM simulates raccoon population dynamics (e.g. reproduc- infectious disease; modelling; Procyon lotor tion, mortality, dispersal) of individuals residing in a virtual landscape of contiguous hexagonal cells of 10.23 km2, the approxi- mate activity range of raccoons in Ontario (Rosatte 2000; see the electronic supplementary material). The model operates at weekly time steps (e.g. mating occurs at week 9 (end of February) and 1. INTRODUCTION parturition occurs at week 18 (end of April)). ORM events are Molecular ecology and landscape genetics offer inno- stochastically determined by randomly drawing a value from vative approaches to the field of disease ecology parameter distribution functions (Rees et al. 2008b). We used the ORM to simulate bi-parental genetic inheritance of microsatellite (Archie et al. 2009). Application of these method- markers assuming no new alleles arise through mutation or ologies promises to improve our understanding of recombination, since this is unlikely to be significant over the disease spread by characterizing factors affecting simulation period (Avise 2004). We used neutral genetic markers because they are not subject to selective pressures, thus distribute movement and connectivity among individuals in the as a result of mating and dispersal processes, acting as a ‘tag’ to vector populations. We apply a model-based land- identify spatio-temporal patterns arising from these processes. scape genetic approach to explore factors affecting To test landscape configuration effects on gene flow, we modelled raccoon range expansions in NIA (438 N, 798 W ) and STL (448 N, raccoon rabies spread in the Great Lakes region of 758 W) (figure 1). The NIA study area is composed of 2255 cells North America (figure 1). Raccoons (Procyon lotor) representing approximately 23 070 km2 on either side of the Niagara are the primary vector of this rabies variant River. STL, the control landscape, is a rectangle of 2500 cells, approximately 25 575 km2. We did not simulate the rivers in either ( Winkler & Jenkins 1991). Southern Ontario is at landscape, to prevent confounding the effects of rivers and landscape high risk for rabies because it is adjacent to endemic constrictions on influencing dispersal movements. areas in New York (NY) and Quebec. For the past In separate NIA and STL model simulations, raccoons expanded from NY to colonize ‘uninhabited’ Ontario. We expected decade, the shortest geographical distance for raccoon genetic homogenization to occur more slowly in NIA because of movement with disease spread into Ontario has been the landscape constriction. Consequently, we ran the NIA coloniza- from the Niagara (NIA) region in NY; however, tion process for 2200 years and only 1000 years in STL. The NY rabies has never been detected in NIA, Ontario. The ‘origin’ populations were tagged at time 0 with microsatellite markers at field-observed frequencies for which linkage and first Ontario cases were detected in 1999 in the Hardy–Weinberg equilibrium had been confirmed (Cullingham St Lawrence region (STL; Wandeler & Salsberg et al. 2009). For NIA and STL, five simulations were run to 1999). It is possible that the Niagara River acts as a capture variation from model stochasticity. One raccoon was randomly sampled per cell from the entire Electronic supplementary material is available at http://dx.doi.org/10. landscape in NIA, subclassified as three regions (NIAorigin , 1098/rsbl.2009.0094 or via http://rsbl.royalsocietypublishing.org. NIAconstriction and NIAdestination). In the STL, we reduced analysis Received 4 February 2009 Accepted 26 February 2009 387 This journal is q 2009 The Royal Society
  • 3. Downloaded from rsbl.royalsocietypublishing.org on June 24, 2012 388 E. E. Rees et al. Spatial bottlenecks and raccoon rabies (a) (c) colonization direction N D E Ottawa Toronto STL 0 15 30 60 km NIA (b) Toronto Lake Ontario Niagara River A colonization B direction C Lake Erie New York 0 12.5 25 50 km Figure 1. (a) Location of ORM landscapes in eastern North America. (b) NIA landscape and three sampling regions (A, NIAdestination; B, NIAconstriction; C, NIAorigin) for allelic diversity measures. Cell shade represents membership of one raccoon sampled for each cell to a unique cluster, as identified by STRUCTURE using an assignment probability of 0.8 or more, after 250 years of a colonization process. (c) STL landscape and two sampling regions (D, STLdestination; E, STLorigin) for allelic diversity measures. time and still maintaining sufficient data for objective analysis by years of range expansion (table 1), where the genetic sampling two raccoons every two to three cells across the STL boundary occurs at least 30 km west of the Niagara landscape. This landscape was subclassified as STLorigin and STLdestination (figure 1). This sampling scheme enabled us to assess River (figure 2). Also in NIA, genetic homogenization population structure over the length of the landscapes, and develops in scenarios with two genetic clusters after compare that with the structure within the constriction. We used 2000 years. At this point, there is an equal likelihood STRUCTURE v. 2.2 (Pritchard et al. 2000) to determine the number of genetic clusters (KZ1–5) 250 years after colonization (KO5 is of individuals being unassigned or assigned to one of unlikely; Cullingham et al. 2009), the approximate time period two clusters (table 2). during which raccoons have colonized NIA, Ontario (Trigger et al. Among all regions, allelic richness in both source 2000). We continued to test for KZ2 in NIA at 50–200 year populations (NIAorigin and STLorigin) are most similar intervals up to 2200 years, and checked in the STL every 100 years up to 1000 years, after the start of colonization. STRUCTURE was to each other and similarly decreases over time at a run using a conservative admixture model that assumed correlated comparable rate (figure 2). The NIAconstriction is the allele frequencies. Three independent tests were conducted for each K, only other region that experiences a monotonic with 500 000 Markov Chain Monte Carlo cycles each for burn-in and data collection. Individuals were assigned to a cluster if average decline in allelic richness. In the founded populations, probability of ownership was 0.8 or more. We determined the most NIAdestination, allelic richness increases from 75 to 150 likely number of genetic population clusters using the Evanno years and then declines from 250 years. This trend is algorithm (Evanno et al. 2005) and calculated the number similar for STLdestination, but diversity in this region of individuals assigned to each cluster. From the same sample of raccoons, we calculated mean number of alleles (allelic richness) is greater and does not decrease until 800 years. for the aforementioned regions in NIA and STL, approximately every 100 years, up to 1000 years since colonization, using CERVUS v. 3.0.3 (Kalinowski et al. 2007). 4. DISCUSSION We undertook a landscape genetic approach to investigate NIA and STL population structures 3. RESULTS because we hypothesized that factors influencing their Despite not modelling the Niagara River barrier structures are also affecting rabies disease spread. By effect, the Evanno algorithm identifies two distinct simulating colonization events in these landscapes, in genetic clusters on either side of the Niagara River as the absence of a river barrier effect, we can assess being the most likely population structure after 250 how landscape configuration affects population Biol. Lett. (2009)
  • 4. Downloaded from rsbl.royalsocietypublishing.org on June 24, 2012 Spatial bottlenecks and raccoon rabies E. E. Rees et al. 389 Table 1. STRUCTURE results from sampling the NIA landscape 250 years after colonization: number of individuals unassigned (U ) and assigned (C ) to clusters with a probability of ownership of 0.8 more. (KZ2 is most likely because the mean of the estimated logarithms of probability of data (ln Pr(XjK ) across KZ1 – 5 has the greatest rate of change (DK ) at KZ2, as calculated following Evanno et al. (2005). Values are means from five runs of the ORM with identical starting conditions.) mean number individuals (Gs.d.) K mean ln Pr(XjK ) (Gs.d.) DK U C1 C2 C3 C4 C5 1 K92 674.7 (G218.2) 0.00 0 (G0) 2255 (G0) — — — — 2 K87 411.6 (G232.6) 22.57 134 (G16) 1550 (G12) 571 (G6) — — — 3 K87 400.1 (G278.7) 0.80 1097 (G68) 542 (G6) 277 (G27) 339 (G65) — — 4 K87 611.1 (G221.7) 1.90 1471 (G97) 511 (G11) 57 (G46) 65 (G48) 151 (G9) — 5 K88 244.1 (G614.1) — 1636 (G19) 457 (G46) 0 (G1) 2 (G4) 32 (G40) 128 (G17) 20 Table 2. STRUCTURE results from testing for KZ2 by 18 analysing 2255 raccoons in NIA and 560 raccoons in STL 16 that were evenly sampled across both model landscapes. (Estimated logarithms of probability of data (est ln prob) allelic richness 14 are shown, as well as the number of individuals unassigned 12 and assigned (spatially congruent with source and destina- 10 tion regions) with a probability of ownership R 0.8. Values 8 are means from five runs of the ORM with identical starting 6 conditions.) 4 2 year est ln prob unassigned NIAorigin NIAdestination 0 200 400 600 800 1000 NIA years since colonization 150 K88 021.1 96 1622 537 200 K87 881.7 100 1602 553 Figure 2. Allelic richness for NIA and STL landscapes at 250 K87 123.5 156 1533 561 approximately 100-year intervals over 1000 years of coloni- 450 K84 093.9 302 1329 624 zation. Allelic richness is calculated from raccoons sampled 650 K79 595.1 337 1204 714 for regions: NIAorigin (nZ1491, filled circles); NIAconstriction 750 K77 078.8 335 1176 744 (nZ278, filled triangles); NIAdestination (nZ486, filled 850 K74 056.1 427 1099 729 squares); STL origin (nZ550, open squares); and 950 K71 359.5 426 1090 739 STLdestination (nZ550, open circles). 1200 K64 045.6 380 1063 812 1300 K61 107.6 435 999 821 1400 K59 837.3 546 880 829 genetic structure over time. In our simulations, KZ2 1600 K56 115.6 599 847 809 is the most likely genetic structure in NIA, and it 1800 K54 070.1 668 831 756 persists for at least 1000 years; whereas in STL, only 1900 K52 496.1 708 781 766 one genetic cluster is evident through time. The NIA 2000 K51 251.9 784 761 710 structure arises from the newly founded population 2100 K50 424.2 800 767 688 2200 K48 879.6 683 843 729 being dominated by the genetic material of the colonizers. Expanding populations are typically lower year est ln prob unassigned STL origin STL destination in density along their periphery, facilitating genetic STL drift to fix or lose alleles, and thus increasing the 100 K18 099.7 379 93 87 likelihood of genetic differentiation from the source 200 K18 346.2 437 65 59 population (Excoffier & Ray 2008). The landscape 300 K18 466.8 466 47 47 constriction in NIA is literally a spatial bottleneck 400 K19 546.4 472 45 43 accentuating founder effects. For both NIAdestination 500 K18 659.2 460 52 49 and STLdestination, allelic richness initially increased as 600 K18 866.1 453 54 53 colonizers filled the region; however, the landscape 700 K18 503.6 461 47 52 constriction reduced the rate at which colonizers 800 K18 311.1 387 86 87 900 K18 071.1 446 57 57 entered NIAdestination. Consequently, colonizers had a 1000 K18 007.3 486 38 37 smaller influence on the NIAdestination population over time; with fewer colonizers adding to genetic diver- sity, genetic drift would have a stronger relative rabies spread in NIA by reducing the rate at which influence on the population, as indicated by earlier infected raccoons enter Ontario below a level necess- declines in allelic richness in NIAdestination than ary to establish a rabies outbreak. We are not STLdestination. implying that the Niagara River or rabies control Landscape configuration has been found to be a strategies have no effect on preventing disease spread significant factor structuring populations in other into NIA, Ontario; however, the Canada–USA land- theoretical and empirical systems (Biek et al. 2007; scape constriction in NIA is an additional factor McRae & Beier 2007). We suggest that it affects keeping NIA Ontario disease-free. Biol. Lett. (2009)
  • 5. Downloaded from rsbl.royalsocietypublishing.org on June 24, 2012 390 E. E. Rees et al. Spatial bottlenecks and raccoon rabies In simulation modelling, the quality of model Evanno, G., Regnaut, S. & Goudet, J. 2005 Detecting the output depends on appropriate representation of number of clusters of individuals using the software system processes. ORM has been validated (Rees STRUCTURE: a simulation study. Mol. Ecol. 14, 2611–2620. 2008; Rees et al. 2008a), so we are confident of its (doi:10.1111/j.1365-294X.2005.02553.x) Excoffier, L. & Ray, N. 2008 Surfing during population ability to represent raccoon ecology and genetics. Our expansions promotes genetic revolutions and structura- approach demonstrates the value of using landscape tion. Trends Ecol. Evol. 23, 347–351. (doi:10.1016/j.tree. genetics to understand disease spread. The flexible 2008.04.004) structure of the ORM enables testing of factors Kalinowski, S. T., Taper, M. L. & Marshall, T. C. 2007 hypothesized to affect animal movements, gene flow, Revising how the computer program CERVUS accommo- and hence, the spread of infectious disease, from dates genotyping error increases success in paternity which we conclude that the narrowing of land in NIA assignment. Mol. Ecol. 16, 1099–1106. (doi:10.1111/ is an important factor reducing the risk of raccoon j.1365-294X.2007.03089.x) McRae, B. H. & Beier, P. 2007 Circuit theory predicts gene rabies spread into NIA, Ontario. flow in plant and animal populations. Proc. Natl Acad. Sci. USA 104, 19 885–19 890. (doi:10.1073/pnas. We are grateful to the Rabies Research and Development 0706568104) Unit of the Ontario Ministry of Natural Resources Pritchard, J. K., Stephens, M. & Donnelly, P. 2000 (OMNR). This research has been supported by a strategic Inference of population structure using multilocus geno- grant from the Natural Sciences and Engineering Research type data. Genetics 155, 945–959. Council of Canada to B.N.W., Trent University and by a Rees, E. E. 2008 Approaches to modelling raccoon rabies. collaborative research agreement between the OMNR and PhD thesis, Trent University, Canada. Queen’s University GIS Laboratory, Canada. Rees, E. E., Pond, B. A., Cullingham, C. I., Tinline, R. R., Ball, D., Kyle, C. J. & White, B. N. 2008a Assessing a landscape barrier using genetic simulation modelling: impli- cations for raccoon rabies management. Prev. Vet. Med. 86, 107–123. (doi:10.1016/j.prevetmed.2008.03.007) Archie, E. A., Luikart, G. & Ezenwa, V. O. 2009 Infecting Rees, E. E., Pond, B. A., Phillips, J. R. & Murray, D. L. epidemiology with genetics: a new frontier in disease 2008b Raccoon ecology database: a resource for popu- ecology. Trends Ecol. Evol. 24, 21–30. (doi:10.1016/j.tree. lation dynamics modelling and meta-analysis. Ecol. 2008.08.008) Inform. 3, 87–96. (doi:10.1016/j.ecoinf.2008.01.002) Avise, J. A. 2004 Molecular markers, natural history, Rosatte, R. C. 2000 Management of raccoons (Procyon and evolution, 2nd edn. Sunderland, MA: Sinauer lotor) in Ontario, Canada: do human intervention and Associates, Inc. disease have significant impact on raccoon populations? Biek, R., Henderson, C. J., Waller, L. A., Rupprecht, C. E. Mammalia 64, 369–390. & Real, L. A. 2007 A high-resolution genetic signature Trigger, B. G., Washburn, W. E., Salomon, F., Adams, of demographic and spatial expansion in epizootic rabies R. E. W., Schwartz, S. B. & MacLeod, M. J. 2000 The virus. Proc. Natl Acad. Sci. USA 104, 7993–7998. Cambridge history of the native peoples of the Americas. (doi:10.1073/pnas.0700741104) Cambridge, UK: Cambridge University Press. Cullingham, C. I., Kyle, C. J., Pond, B. A., Rees, E. E. & Wandeler, A. & Salsberg, E. 1999 Raccoon rabies in eastern White, B. N. 2009 Differential permeability of rivers to Ontario. Can. Vet. J. 40, 731–731. raccoon gene flow corresponds to rabies incidence in Winkler, W. & Jenkins, S. 1991 Raccoon rabies. In The Ontario, Canada. Mol. Ecol. 18, 43–53. (doi:10.1111/ natural history of rabies, 2nd edn (ed. G. M. Baer), j.1365-294X.2008.03989.x) pp. 240–325. Boca Raton, FL: CRC Press. Biol. Lett. (2009)