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commercial. Published version is copyrighted and available at Cote D, D Kehler, C Bourne, YF Wiersma.
2009. A connectivity index for riverscapes. Landscape Ecology 24: 101-113. doi: 10.1007/s10980-008-
9283-y
The Effect of Scale on the Design of Optimal Protected Areas Networks in Canada
4
Yolanda F. WIERSMA
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Department of Integrative Biology
University of Guelph
50 Stone Road East
Guelph, Ontario, N1G 2W1, Canada
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ywiersma@uoguelph.ca
Ph. 519.824.4120 x56307
Fax. 519.767.1656
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20
24
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Date of Manuscript Draft: April 12, 2006
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Word count: 4,706
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Scale and protected areas networks, Wiersma, Y.F., page 2
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks
publisher layout and branding. It is available under License Creative Commons Attribution Non-
commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of target
extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487.
doi: 10.1007/s10980-007-9126-2
2
Abstract
Various jurisdictions in Canada are currently undertaking, or have recently completed, planning
for representative reserve networks, several applying principles such as complementarity, using
heuristic algorithms that are generally available. These exercises may be conducted within
4
politically- or ecologically-bounded target regions of varying extents. Here, I develop
representative reserve networks for disturbance-sensitive mammals across Canada. I use three
different ways of defining ecologically-bounded regions at different levels of spatial hierarchy
(mammal provinces, ecozones, and ecoregions) as the target zones to identify near-optimal
8
solutions for protected areas across multiple spatial scales. I show that the extent of the target
region has an effect on the minimum number of protected areas required to achieve representation;
a larger region requires fewer protected areas than the sum of the protected areas required to
represent its component regions at a smaller level of spatial hierarchy. The results illustrate that
12
reserve network planning is highly scale-dependent, and different spatial extents in the target
regions may introduce inefficiencies or redundancies in identifying representative reserve
networks.
16
Keywords: ecoregions, ecozones, protected areas, representative networks, redundancy,
reserve design, spatial scale
Scale and protected areas networks, Wiersma, Y.F., page 3
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks
publisher layout and branding. It is available under License Creative Commons Attribution Non-
commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of target
extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487.
doi: 10.1007/s10980-007-9126-2
3
Introduction
Designs for representative protected areas networks within target regions consist of goals for
including (representing) a given number of species or land cover types from the target region
within the protected areas system. Researchers have focused mainly on methods to select
4
representative areas (e.g., Margules et al. 1988; Pressey et al. 1993), as well as on methods to
ensure species persistence within representative networks (Cowling et al. 2003; Kerley et al. 2003;
Pressey et al. 2004). Relatively little attention has been paid to the effect of varying the target
region on the number of protected areas required within it to achieve a given level of
8
representation, what research has been done has focused on varying the extent within geopolitical
target areas, and not ecologically-defined ones (e.g., Pressey and Nichols 1989; Erasmus et al.
1999; Rodrigues and Gaston 2002).
Conservation issues are often cited as being “scale-dependent” (Wiens 1989). Landscape
12
ecologists consider spatial scale to have two components: grain, defined as “the finest level of
spatial resolution possible within a given data set” (Turner et al. 2001: 29); and extent, defined as
the “size of the study area... under consideration” (Turner et al. 2001: 29). A few studies have
explicitly examined how spatial scaling affects delineation of representative protected areas
16
networks. These have either focused on the effect of varying the grain size (spatial resolution of
data and/or size of planning units) in the analysis (e.g., Kunin 1997; Rouget 2003; Wiersma and
Nudds 2003), or on varying the extent of the target region (e.g., Pressey and Nichols 1989;
Erasmus et al. 1999; Rodrigues and Gaston 2002), but not both.
20
. Varying the size of the planning units on the selection of representative protected areas in
Canada (Wiersma and Nudds in press) had little effect on the number of protected areas required
to represent mammal species within the mammal provinces (i.e., the target regions; Hagmeier
Scale and protected areas networks, Wiersma, Y.F., page 4
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks
publisher layout and branding. It is available under License Creative Commons Attribution Non-
commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of target
extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487.
doi: 10.1007/s10980-007-9126-2
4
1966) of Canada, when the planning unit size varied between 2700-13,000 km2. Similarly, Kunin
(1997) found that spatial patterns were scale-invariant at grain sizes ranging from 2-50 km2 when
modelling protected areas using European and British floral atlas data. However, Rouget (2003)
showed that the number of protected areas varied when broad scale (3900 ha planning units) and
4
fine scale (252 ha planning units) data were used for conservation planning in the Agulhas Plain in
South Africa, although representation efficiency was similar.
Pressey and Nicholls (1989) subdivided a geopolitical unit (Western Division of New
South Wales) into ecologically-defined regions, subregions, and provinces (based on geology,
8
vegetation and rainfall). They conducted reserve selection algorithms at different levels of spatial
hierarchy, and found that more than twice as many sites were needed in the geopolitical unit when
it was subdivided in the regions and subregions, than when the Western Division as a whole was
considered as a target region (Pressey and Nicholls 1989). In a similar study, Erasmus et al. (1999)
12
looked at minimum representation requirements for mammals within 4 provinces in South Africa,
and across all 4 provinces combined. They found that 3 times as many sites were needed in the
within-province analysis than in the across-province analysis (Erasmus et al. 1999). Erasmus et al.
(1999) also showed that the sites identified across provinces did not coincide with those selected
16
within-provinces. Rodrigues and Gaston (2002) examined the effect of varying the extent of the
geopolitical target region and found that subdividing a geopolitical region (i.e., a country) into
smaller geopolitical units (i.e., provinces) increased the number of sites required to represent bird
species by over 10 times. They demonstrated that using geopolitical units as target regions in
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which to implement representative protected areas resulted in the creation of “apparently rare”
species; species whose ranges were just within a political unit, or which were vagrants or
introductions, but which had widespread distribution elsewhere. These apparent rarities had a
Scale and protected areas networks, Wiersma, Y.F., page 5
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks
publisher layout and branding. It is available under License Creative Commons Attribution Non-
commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of target
extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487.
doi: 10.1007/s10980-007-9126-2
5
disproportionate influence on the selection of representative sites to be set aside as representative
conservation areas (Rodrigues and Gaston 2002).
In contrast to these studies which have examined the effects of grain or extent, other
landscape-level ecological analyses have addressed both. In an analysis involving land-use
4
planning in the Philippines, Verburg and Veldkamp (2004) showed that varying grain and extent
yielded different results in their land use change models. They felt that these differences illustrated
that there is no optimal spatial scale for assessing land use change, but that each scale has inherent
values and shortcomings, and that the scale should be chosen to be appropriate to the research
8
question (Verburg and Veldkamp 2004). Similarly, Palmer and White (2004) showed that
variations in grain and extent had implications for how the species-area relationship was
manifested in a North Carolina forest. The results from both of the studies have implications for
protected areas network design; however this was not an explicit component in either of these two
12
analyses where both grain and extent were analyzed.
That a fuller examination and appreciation of the effects of the spatial extent of
ecologically-bounded regions on protected areas network design has not yet materialized may be
due to the simple and practical reason that planning for protected areas often is carried out in well-
16
defined areas by individual jurisdictions (i.e., provinces, states, territories) independently of any
analysis of where protected areas exist outside of the planning agency’s political boundaries (e.g.,
YPAS 1998; Purchase 2003). However, because patterns of species distribution do not follow
political boundaries, consideration of protected areas requirements outside political boundaries
20
may be more appropriate.
To be efficient, protected areas should be located so as to maximize species representation
with a minimum amount of area. Delineation of representative protected areas networks is most
Scale and protected areas networks, Wiersma, Y.F., page 6
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks
publisher layout and branding. It is available under License Creative Commons Attribution Non-
commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of target
extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487.
doi: 10.1007/s10980-007-9126-2
6
ecologically meaningful if carried out within ecologically-defined target regions, such as in the
mammal provinces of Canada (Fig 1; Hagmeier 1966) or within ecozones (e.g., Wiken et al. 1996)
or ecoregions (Ecological Stratification Working Group 1995) rather than within politically-
bounded target areas. These ecologically-defined regions can vary in extent and in the
4
characteristics upon which they were delineated, and thus, determining which is most appropriate
as a target extent for delineating representative protected areas can be difficult. Research has
shown that the areas along the boundaries of the mammal provinces of Canada have a high degree
of similarity in species composition with adjacent provinces (Glenn 1990). Such spatial patterns in
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species turnover may result in the phenomena where representative protected area networks that
are defined at smaller spatial extents may actually introduce redundancies compared to the case
where a network is planned at a larger spatial extent. However, mammal provinces may not be the
most appropriate target region for delineating protected areas, as other taxa and features that occur
12
at different spatial scales than mammals have to be taken into consideration. In Canada, the
stratified system of ecozones and ecoregions (Ecological Stratification Working Group 1995) is
seen as a potentially useful framework for target regions, as these have been delineated on the
basis of landforms, soils, climate, and vegetation combined. While ecologically-defined target
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regions such as mammal provinces, ecozones or ecoregions, are intuitively more appropriate than
politically-defined ones such as provinces, states or territories, it is important to remember that
ecologically-defined regions are still defined by humans, and thus from nature’s point of view,
may be arbitrary (see McDonald et al. 2005 for a discussion on the potentially arbitrary nature of
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ecoregion boundaries).
Here, I examine whether and how spatial extent of the target region affects the number and
location of protected areas in a representative protected areas network comprised of protected
Scale and protected areas networks, Wiersma, Y.F., page 7
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks
publisher layout and branding. It is available under License Creative Commons Attribution Non-
commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of target
extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487.
doi: 10.1007/s10980-007-9126-2
7
areas (that are predicted to be large enough to contain their historical complement of species even
in the face of habitat insularization) in Canada. An analysis of the effect of varying the grain size
has already been conducted on this data set (Wiersma and Nudds in press). Thus this is the first
system of which I am aware which has tested the effects on representative networks of varying
4
both the grain and the extent within ecologically defined target areas. I compare the number and
location of representative protected areas between three types of ecologically defined regions;
mammal provinces, ecozones, and ecoregions. I hypothesize that there will be some similarity in
the optimal locations for protected areas between the three target regions, because underlying
8
hotspots of richness or rarity will be relatively consistent between scales. However, I predict that
the number of protected areas needed to represent larger target regions will be less than the sum of
the parts of smaller target regions that are nested within the larger ones.
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Methods
The effect of spatial extent was examined using 3 different target regions for identifying
representative protected areas networks. The largest target region examined representation
requirements within 8 of the mammal provinces of Canada (Fig. 1; Hagmeier 1966). Mammal
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provinces were selected because they have been the focus of recent research in Canada on
identifying protected areas design requirements (e.g., Glenn and Nudds 1989; Gurd and Nudds
1999; Gurd et al. 2001). However, many planning agencies in Canada prefer to examine
representation issues within the ecological stratification system of ecozones, ecoregions, and
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ecodistricts (Ecological Stratification Working Group 1995). These classifications are based
largely on similarities in vegetation, soils, climate, and topography. Here, I used 12 of the
ecozones of Canada that approximately overlapped with the mammal provinces analyzed as a
Scale and protected areas networks, Wiersma, Y.F., page 8
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks
publisher layout and branding. It is available under License Creative Commons Attribution Non-
commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of target
extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487.
doi: 10.1007/s10980-007-9126-2
8
second set of target regions (Fig. 2). Finally, I examined representation requirements using
ecoregions as the target region. However, I constrained the analysis to the 18 ecoregions that lie
within the Yukon Territory (see inset map in Fig. 1). In addition to comparing the number and
location of protected areas between these different target regions, each set of target regions were
4
combined to test whether the number of protected areas required when a region was considered as
a whole was less than the sum of the parts, as has been found with studies that conducted similar
analyses within and across geopolitical units (Erasmus et al. 1999; Rodrigues and Gaston 2002).
# FIGURE 1 APPROXIMATELY HERE
8
# FIGURE 2 APPROXIMATELY HERE
At the mammal province and ecozone extents, the target regions were sampled for richness
and composition of disturbance sensitive mammals (defined by Glenn and Nudds (1989) sensu
Humphreys and Kitchener (1982)) in candidate sites for protected areas. This was obtained by an
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overlay analysis of mammal range data (Patterson et al. 2003) in a Geographic Information System
(GIS; ArcInfo v. 8, Environmental Systems Research Institute, Redlands, CA) using sample plots
that represented the lowest (2700 km2) estimate for minimum reserve area (MRA) below which
species are estimated to have be lost due to insularization (Gurd et al. 2001).
16
A minimum representative network at the national and mammal province extents was
identified from the suite of candidate sites using a rarity-based heuristic algorithm (Margules et al.
1988; Pressey et al. 1993). Previous analysis (Wiersma and Nudds 2004) has shown rarity-based
algorithms to be a more efficient solution for finding representative solution sets than richness-
20
based ones. Reserves were selected and added to the system based on presence of rare species in
candidate plots, until all species were represented at least once in a reserve (determined as full or
partial overlap between a species’ range and a sample MRA plot). Species richness of plots was
Scale and protected areas networks, Wiersma, Y.F., page 9
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks
publisher layout and branding. It is available under License Creative Commons Attribution Non-
commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of target
extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487.
doi: 10.1007/s10980-007-9126-2
9
used as the criteria for breaking ties. The minimum sets for all of the ecozones or mammal
provinces combined (i.e., nearly all of the country; hereafter referred to as the “national extent”)
were compared to minimum sets for each of the component mammal provinces or ecozones to test
whether the sum of the protected areas needed to represent the current distribution of mammals in
4
the component target regions was greater than the number needed to represent the country as a
whole.
At the extent of the Yukon ecoregions, the shape and smaller size of the ecoregions did not
allow for the use of the same suite of candidate plots as at the extents of the mammal provinces
8
and of the nation as a whole. Instead, locations of rare species were identified and 2700 km2
minimum reserve areas were delineated around them. The composition of these plots was then
compared to the mammal richness of the ecoregions, and an additional site was selected if needed
(see Wiersma and Urban 2005 for details), following the same algorithm rules as in the ecozones
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and mammal provinces. The minimum requirement for representative protected areas for the
ecoregions of the Yukon were compared to those for the Yukon territory as a whole to test whether
the sum of the protected areas needed to represent the current distribution of mammals in the
component ecoregions was greater than the number needed to represent the territory when
16
considered as a target region on its own.
Results
All of the mammals of Canada, taken as a whole (excluding the high arctic), could be included in a
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few as 11 or 12 sites (Table 1). The sum of the mammal provinces considered individually was 28,
with individual mammal provinces needing between 2-6 sites (Table 1; Fig. 3). The sum of the
ecozones considered individually was 59, with individual ecozones needing between 2-7 sites
Scale and protected areas networks, Wiersma, Y.F., page 10
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks
publisher layout and branding. It is available under License Creative Commons Attribution Non-
commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of target
extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487.
doi: 10.1007/s10980-007-9126-2
10
(Table 1; Fig. 3). The Yukon Territory on its own required 3 sites, while the sum of the individual
ecoregions of the territory was 29, with individual ecoregions only needing 1-2 sites (Table 1; Fig.
3). Thus, at each spatial extent, there is an “economy of scale”, with fewer protected areas needed
as the extent of the target region increases. The effect of varying the spatial extent seems to vary
4
with the differences in extent; between the Yukon ecoregions, and the territory as a whole, almost
10 times as many sites were needed in the component parts, between the ecozones individual and
as a whole over 5 times as many sites were needed, whereas between the mammal provinces
individually and as a whole, only slightly more than twice as many sites were needed.
8
# TABLE 1 APPROXIMATELY HERE
# FIGURE 3 APPROXIMATELY HERE
In most cases, the plots selected at the national extent were also important at the extent of
the individual mammal provinces (Fig. 4). The plots that were important within the Yukonian
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mammal province coincided with areas that were important within individual ecoregions of the
Yukon Territory (Fig. 5). Of the representative sites at the national extents, 75% of the sites from
the across-mammal provinces analysis were also found in the representative sets in the individual
mammal provinces, while 45% of the sites from the across-ecozone analysis were found in the
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representative sets in the individual ecozones (Fig. 6).
# FIGURE 4 APPROXIMATELY HERE
# FIGURE 5 APPROXIMATELY HERE
#FIGURE 6 APPROXIMATELY HERE
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Scale and protected areas networks, Wiersma, Y.F., page 11
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks
publisher layout and branding. It is available under License Creative Commons Attribution Non-
commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of target
extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487.
doi: 10.1007/s10980-007-9126-2
11
Discussion
A comparison of sites selected at the extents of individual ecoregions within an ecozone, or with
ecozones or mammal provinces within the country as a whole, is useful for identifying high
priority areas for conservation. Those sites that are important at more than one extent should be
4
priority areas for conservation over sites that are important at only one extent. A representative
protected areas network at a national extent is much more efficient than networks in individual
mammal provinces, as the total number of sites is 2-43% of the sum of the parts for ecozones and
mammal provinces, respectively. The mammal provinces, in turn, appear to be more efficient than
8
component ecoregions, at least for the Yukon (the Yukon Territory roughly coincides with the
Yukonian mammal province). A similar result of gains in efficiency as larger target regions are
considered has been demonstrated with subdivisions and agglomerations of geopolitical target
units, with the total number of sites at the larger extent being anywhere from 2-10 times as many
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as the sum of the parts (Pressey and Nichols 1989; Erasmus et al. 1999; Rodrigues and Gaston
2002). The comparison between the location of representative protected areas at spatial extents
that are nested within each other (ecoregions within a territory, or mammal provinces/ecozones
within the country) identifies those sites that are redundant with plots elsewhere when
16
representation is constrained within smaller target regions. However, redundancies in species
representation may be desirable as they may capture more genetic diversity of species, supply
populations for a rescue effect in case of local extinctions, represent subspecies or unique types, or
capture diversity of other taxa or physiographic features in addition to mammals (Stoms et al.
20
2004). The possibilities for redundancies may also assist in the case when a single political
jurisdiction can not allocate enough land to a protected area to achieve an adequate minimum size.
Scale and protected areas networks, Wiersma, Y.F., page 12
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks
publisher layout and branding. It is available under License Creative Commons Attribution Non-
commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of target
extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487.
doi: 10.1007/s10980-007-9126-2
12
In such a situation it is valuable to investigate whether the solution might be in optimally located
transboundary protected areas.
The comparison of minimum requirements when the extent of the target region varies is
useful in that it identifies high priority areas and possible redundancies. However, this analysis
4
was constrained to mammals, the distributions of many of which cross more than one mammal
province or ecozone/ecoregion. There are good reasons for developing representative protected
areas networks within smaller target regions than mammal provinces, even if mammals remain the
target organism. Representative networks for mammals within one ecozone may capture a
8
different assemblage of species and vegetation types than a representative network in another
ecozone. Warman et al. (2004) showed that a representative network for mammals could capture
between 33-96% of other taxa (reptiles, amphibians, birds). Thus, redundancies between ecozones
might capture more of these other taxa (which may not be as widely distributed across the country)
12
than if a representative network for mammals is delineated only at the national, or mammal
province, extent.
For practical reasons related to legislation and management, planning for protected areas
will likely continue to be carried out within politically bounded areas. Nonetheless, it would be
16
helpful for protected areas planners to consider analyses such as this one, at least with
neighbouring jurisdictions. Although collaboration across boundaries might carry slightly higher
costs, in the end it may yield efficiencies if the two governments can share protection of areas
along their borders and/or identify areas that are redundant between the two jurisdictions.
20
Acknowledgements
Scale and protected areas networks, Wiersma, Y.F., page 13
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks
publisher layout and branding. It is available under License Creative Commons Attribution Non-
commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of target
extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487.
doi: 10.1007/s10980-007-9126-2
13
YFW was supported by an Ontario Graduate Scholarship and a grant from the Canadian Council
on Ecological Areas. Mammal data was provided by NatureServe in collaboration with Bruce
Patterson, Wes Sechrest, Marcelo Tognelli, Gerardo Ceballos, The Nature Conservancy –
Migratory Bird Program, Conservation International – CABS, World Wildlife Fund – US, and
4
Environment Canada – WILDSPACE. Thanks to D. Sleep, T.D. Nudds and R.L. Pressey for
helpful comments on an earlier draft of the manuscript, and to K. Lindsay for originally proposing
the research idea. Additional research support was provided by grants from NSERC and Parks
Canada to TDN.
8
Scale and protected areas networks, Wiersma, Y.F., page 14
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks
publisher layout and branding. It is available under License Creative Commons Attribution Non-
commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of target
extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487.
doi: 10.1007/s10980-007-9126-2
14
Table 1. Three kinds of target regions with the number of sites required to represent them, as
identified using a rarity-based heuristic algorithm.
Target region
Area (km2)
# Sites to represent
Mammal Provinces
Alleghenian/Illinoian
420,192
3
Alleghenian (western portion)
121,378
2
Eastern Canadian
978,468
3
Western Canadian
2,089,818
6
Saskatchewanean
499,111
2
Montanian
558,468
5
Vancouverian
457,819
4
Yukonian
725,852
3
All provinces combined
420,192
12
Ecozones
Atlantic Maritime
282,245
4
Mixedwood Plains
168,913
3
Boreal Shield
2,072,417
7
Boreal Plains
737,397
6
Boral Cordillera
468,093
5
Montane Cordillera
488,013
6
Pacific Maritime
250,094
6
Prairies
465,303
7
Scale and protected areas networks, Wiersma, Y.F., page 15
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks
publisher layout and branding. It is available under License Creative Commons Attribution Non-
commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of target
extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487.
doi: 10.1007/s10980-007-9126-2
15
Taiga Shield
1,445,900
5
Taiga Plains
653,888
5
Taiga Cordillera
265,233
2
Hudson Plains
446,528
3
All ecozones combined
7,744,024
11
Yukon Ecoregions
British Richardson Mountains
22,989
2
Eagle Plains
20,394
1
Hyland Highlands
14,660
2
Klondike Plateau
38,206
2
Liard Basin
21,121
2
Mackenzie Mountains
190,238
1
North Olgilvie Mountains
39,203
1
Old Crow Basin
14,589
2
Old Crow Flats
5,964
1
Peel River Plateau
14,812
1
Pelly Mountains
34,194
2
Ruby Ranges
22,720
1
Selwyn Mountains
35,541
2
St. Elias Mountains
17,603
1
Yukon Coastal Plain
4,402
1
Yukon Plateau (central)
26,803
2
Scale and protected areas networks, Wiersma, Y.F., page 16
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks
publisher layout and branding. It is available under License Creative Commons Attribution Non-
commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of target
extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487.
doi: 10.1007/s10980-007-9126-2
16
Yukon Plateau (north)
57,037
2
Yukon Southern Lakes
29,899
2
Yukon Stikine Highlands
6,972
1
All of Yukon ecoregions
476,560
3
Scale and protected areas networks, Wiersma, Y.F., page 17
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks
publisher layout and branding. It is available under License Creative Commons Attribution Non-
commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of target
extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487.
doi: 10.1007/s10980-007-9126-2
17
Figure Captions
Figure 1. Target regions in the analysis. Main map: the mammal provinces of Canada (Hagmeier
1966). For this study, the Eastern and Western Hudsonian, the Ungavan, and the Eastern Eskimoan
4
mammal provinces were excluded. The western portion of the Alleghenian mammal province was
analyzed separately, and the eastern portion of the Alleghenian mammal province was combined
with the Illinoian, yielding a total of eight replicate mammal provinces. Inset map: The Yukon
Territory and component ecoregions.
8
Figure 2. The ecozones of Canada included in this analysis.
Figure 3. Number of plots needed to represent all mammals in different target regions of different
12
extents. The national extent can be subdivided into either mammal provinces or ecozones. The
data for ecoregions is for those that fall within the Yukon Territory.
Figure 4. Map of Canada showing output of sites that meet minimum reserve area requirements of
16
2700 km2 and which have been selected as representative for mammals based on output from a
rarity-based heuristic reserve selection algorithms conducted using mammal provinces as target
regions. Plots that are circled in the Eastern mammal province indicate a series of plots that are
equivalent to each other in terms of meeting representation goals. Plots with dark shading are those
20
that are part of a minimum representative set for each individual mammal province. Plots with
thick outlines are those that are part of a minimum representative set for the country as a whole.
Thus, those with thick outlines and dark shading are selected at the two different scales (national
Scale and protected areas networks, Wiersma, Y.F., page 18
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks
publisher layout and branding. It is available under License Creative Commons Attribution Non-
commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of target
extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487.
doi: 10.1007/s10980-007-9126-2
18
and within individual mammal provinces), while those with thick outlines and no shading were
only selected at the national extent.
Figure 5. The minimum representative network for the ecoregions of the Yukon (results using the
4
richness based and rarity based algorithms were identical). Plots that are marked with a star
indicate those that were needed to represent the Yukonian mammal province.
Figure 6. Map of Canada showing output of sites that meet minimum reserve area requirements of
8
2700 km2 and which have been selected as representative for mammals based on output from a
rarity-based heuristic reserve selection algorithm conducted using ecozones as target regions. Plots
that are circled are those that are part of a minimum representative set for the country as a whole.
Thus, those that are stippled are important at the national scale, but not within ecozones, while
12
those that are circled and shaded in, are important at both spatial extents.
16
Scale and protected areas networks, Wiersma, Y.F., page 19
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks
publisher layout and branding. It is available under License Creative Commons Attribution Non-
commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of target
extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487.
doi: 10.1007/s10980-007-9126-2
19
Figure 1.
Scale and protected areas networks, Wiersma, Y.F., page 20
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks
publisher layout and branding. It is available under License Creative Commons Attribution Non-
commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of target
extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487.
doi: 10.1007/s10980-007-9126-2
20
4
Figure 2.
Scale and protected areas networks, Wiersma, Y.F., page 21
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks
publisher layout and branding. It is available under License Creative Commons Attribution Non-
commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of target
extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487.
doi: 10.1007/s10980-007-9126-2
21
0
10
20
30
40
50
60
70
national sum of
mammal
provinces
sum of
ecozones Yukon
territory sum of
ecoregions
number of sites required
Figure 3.
4
8
Scale and protected areas networks, Wiersma, Y.F., page 22
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but lacks publisher layout and branding. It is available
under License Creative Commons Attribution Non-commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect of
target extent on the location of optimal protected areas networks in Canada Landscape Ecology 22: 1477-1487. doi: 10.1007/s10980-007-
9126-2
22
1
Figure 4.
2
Scale and protected areas networks, Wiersma, Y.F., page 23
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but
lacks publisher layout and branding. It is available under License Creative Commons Attribution
Non-commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect
of target extent on the location of optimal protected areas networks in Canada Landscape
Ecology 22: 1477-1487. doi: 10.1007/s10980-007-9126-2
23
Figure 5.
4
Scale and protected areas networks, Wiersma, Y.F., page 24
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but
lacks publisher layout and branding. It is available under License Creative Commons Attribution
Non-commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect
of target extent on the location of optimal protected areas networks in Canada Landscape
Ecology 22: 1477-1487. doi: 10.1007/s10980-007-9126-2
24
Figure 6.
Scale and protected areas networks, Wiersma, Y.F., page 25
Original paper published in Landscape Ecology (DOI: 10.1007/s10980-007-9126-2)
This version is a postprint. It has the same peer-reviewed content as the published version, but
lacks publisher layout and branding. It is available under License Creative Commons Attribution
Non-commercial. Published version is copyrighted and available at Wiersma YF. 2007. The effect
of target extent on the location of optimal protected areas networks in Canada Landscape
Ecology 22: 1477-1487. doi: 10.1007/s10980-007-9126-2
25
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