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Many different techniques have been used to create predictive models
of taxonomic distributions across landscapes. Examples of commonly
used techniques include Bayesian analysis, Environmental Envelopes
(EEs), Classification and Regression Trees (CART), Generalized Linear
Models (GLMs), Generalized Additive Models (GAMs), ordinations such
as Canonical Correspondence Analysis (CCA), and Neural Networks (ANNs).
For a comprehensive review and examples of these techniques, see Guisan
and Zimmerman (2000). All of these techniques are statistically valid,
and produce results that are as accurate as simple habitat models constructed
from overlays or other non-statistical techniques. Major differences
between modeling techniques exist, including the amount of data required,
the types of predictive variables that can be used, outputs (e.g.,
presence/absence, probability of occurrence or abundance of the organism),
statistical rigor, ease of interpretation of the models, and the amount
of statistical and biological knowledge necessary to understand and
apply the models. We considered all of these factors in selecting our
modeling procedures, which are species specific.
Using a multi-criteria selection process and considerable input from
stakeholders, we created a short list of important species or taxonomic
groups for which we were to construct models. The list includes a variety
of species that are representative of various functional or taxonomic
guilds, and that respond to landscape level habitat patterns at different
scales. We included species that are considered “management indicators” or “sensitive” because
these species are most likely to be taken into account by managers
when making treatment decisions. Finally, we considered the amount
of data available for a species or group in selecting both the taxa
to be modeled and the modeling procedure to be used. The following
is a list of the taxa that were chosen for the Western Mogollon Rim (WMPALA) study area, and the procedures used to
create models.
Northern Goshawk (Accipiter gentilis) and Mexican
Spotted Owl (Strix occidentalis lucida)
We created models of potential nesting habitat for owls and goshawks
using a set of simple rules and Mahalanobis distance. First, we determined a range of values for habitat
conditions (basal area, tree density, canopy cover, slope, and
aspect) under which owls and goshawks would nest, relying on the
literature, management guidelines (Reynolds et al. 1992; USFWS
1995) and expert opinion. Drawing on georeferenced nest sites,
coupled with information from our spatial data layers, we then
determined thresholds, within the range of habitat conditions,
that could be used to separate areas with and without nests. As
a second step we employed the Mahalanobis distance (M-distance)
statistic to develop a measure of the likelihood that a given portion
of the landscape would be used for nesting. M-distance is a measure
of dissimilarity between two multivariate datasets (Farmer & Kadmon
2003). In the case of wildlife habitat modeling, one dataset is
the mean vector of habitat characteristics for a set of locations
used by a species (in this case nest sites), while the other dataset
is the range of conditions across the entire landscape (Clark et
al. 1993; Farmer & Kadmon 2003). The first vector is usually
assumed to represent “preferred” habitat conditions
for a species (Farmer & Kadmon 2003). Thus, the “distance” value
can be used as an index of habitat preference. The following scientists
collaborated on this modeling effort: Bill Block, Joseph Ganey,
and Jeff Jenness of the USDA Forest Service Rocky Mountain Research
Station; Paul Beier of Northern Arizona University, and Micheal
Ingraldi of the Arizona Game and Fish Department. |
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Tassel-eared Squirrel (Sciurus aberti)
We worked in collaboration with Norris Dodd of the Arizona Game
and Fish Department to create the models for the Tassel-eared squirrel.
Based on his data and expertise (Dodd et al., 1998; Dodd et al.,
2003), we applied GLM regression techniques (Hilbe 1994) to establish
relationships between our forest structural data layers and squirrel
density and recruitment. This resulted in several possible models
for each. We then used an information-theoretic approach to select
the best models to use for each attribute.
A model that included only local basal area as an input variable
was best for squirrel density. For squirrel recruitment, a model
that included local basal area, canopy cover over a 165 ha spatial
extent, and an interaction effect worked best. The relationships
between forest structure and population attribute in both of these
models were highly significant (density n = 18, P < 0.001, r2 =
0.85; recruitment n = 18, P < 0.001, r2 = 0.72). |
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Passerine Birds
We used Classification and Regression Tree (CART;
Breiman et al. 1984) models to predict passerine avian species richness
and to create individual probability of presence models for 10 species
of birds across the western Mogollon Plateau. CART procedures have
proven to be very useful in ecological contexts because 1) both continuous
and discrete predictive variables can be used in the models, 2) the
models are statistically rigorous, and 3) the outputs are easily understood
(De’ath and Fabricius 2000). Because they are nonparametric and
divide datasets into independent groups, CART models have several additional
advantages over other techniques: input data does not need to be normally
distributed; it is not necessary for predictor variables to be independent;
and relationships between predictor variables and observational data
are modeled well when relationships between them are not linear. In
published studies, CART models have performed well when compared to
models created by regression (Anderson et al., 2000; De’ath and
Fabricius 2000, Dettmers et al. 2002) and EE (Skidmore et al. 1996)
techniques. We are collaborating with a number of investigators, including
Bill Block of the Forest Service, Brett Dickson of Colorado State University,
Carol Chambers of NAU, Micheal Ingraldi and Steve Rosenstock of the
Arizona Game and Fish Department, and Kerry Griffis-Kyle of Syracuse
University. They have provided data and expertise to guide our modeling
efforts. We are now in the process of checking the accuracy of those
models. One way to do that is to compare our results to the existing
literature on avian habitat requirements (e.g., Finch and Block, 1997).
Pronghorn (Antilocapra americana)
Because few studies have overlapped,
both spatially and temporally, with our study, we built some models
using sets of rules created through literature review and consultation
with experts. We created a predicted habitat suitability layer, using
published literature on general Pronghorn habitat requirements in
Arizona (Lee et al. 1998, Ockenfels 1994). The layer was built using
simple
rules with slope and canopy cover as predictor variables. Values
for the habitat suitability index range from 0 to 1, and are unitless.
It is important to note that habitat suitability does not represent
habitat quality, which would require including some measure of survivability
or reproductive success. We are using spatial data from pronghorn
radiotracking
studies, conducted by Rick Ockenfels (Arizona Game and Fish Department)
on the Kaibab National Forest, to test the model.
In response to recommendations from the wildlife breakout group at
the May 2004 WMPALA workshop, we created a layer that proposes possible
corridors to facilitate Pronghorn movement between large patches of
existing habitat. Because many areas that were formerly used as corridors
by pronghorn are now overgrown with trees, high quality patches of
Pronghorn habitat are becoming isolated. We set out to identify areas
where forest thinning could result in increased connectivity between
patches of high quality Pronghorn habitat. This was a three-step process.
First, we identified large patches (> 40ha) of existing Pronghorn
habitat, including all areas that exhibit a habitat suitability index
of 0.7 or greater, and were larger than 40 ha. Second, we identified
areas that would be unsuitable as corridors for pronghorn. These areas
included Mexican Spotted Owl Protected Activity Centers, Northern Goshawk
nesting stands, areas with slopes greater than 20 degrees, private
property, and areas within 1/4 mile of major highways. In the third
step, we digitized potential corridors between habitat patches that
were less than 5km apart. We felt that more isolated patches were unlikely
to be connected. We did not place corridors across any areas identified
as unsuitable for pronghorn, but did place corridors between habitat
patches along paths that would provide the highest quality habitat
available between those patches. All corridors have a width of 450m
(~ 1/4 mile).
Merriam’s Wild Turkey (Melagris gallipavo merriami)
A model
of turkey habitat suitability was constructed using published literature
and expert opinion. Habitat suitability was based on the suitability
of the habitat for roosting, because Wild Turkeys are typically found
in close proximity to roost sites. Inputs for this model are slope,
basal area, and canopy cover. As each of these factors increases,
the habitat suitability index increases. As with the pronghorn habitat
model, the values for the suitability index range from 0 to 1 and
are
unitless. We obtained information on Wild Turkey habitat requirements
in Arizona from the following literature sources: Mollohan et al.
(1995), Wakeling (1991), and Wakeling and Rodgers (1995). We also obtained
spatial data from turkey surveys conducted by Brian Wakeling (Arizona
Game and Fish Department) on the Coconino National Forest. These
data
are being used to test the accuracy of our model.
References
Anderson, M. C., J. M. Watts, J. E. Freilich, S. R. Yool, G. I. Wakefield,
J. F. McCauley, and P. B. Fahnestock. 2000. Regression-tree analysis
of desert tortoise habitat in the central Mojave Desert. Ecological
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Block, W. M. and D. M. Finch. 1997. Songbird ecology in Southwestern
Ponderosa Pine forests: a literature review. USDA Forest Service General
Technical Report RM-GTR-292.
Block, W. M., M. L. Morrison, and M. H. Reiser. 1994. The Northern
Goshawk: ecology and management. Studies in Avian Biology 16. Cooper
Ornithological Society.
Breiman, L., J. J. Friedman, R. A. Olshen, and C. J. Stone. 1984. Classification
and Regression Trees. Wadsworth and Brooks Publishing, Monterey, California.
Clark, J. D., J. E. Dunn, and K. G. Smith. 1983. A multivariate model
of female black bear habitat use for a Geographic Information System.
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De’ath, G. and K. E. Fabricius. 2000. Classification and Regression
Trees: a powerful, yet simple, technique for ecological data analysis.
Ecology 81: 3178-3192.
Dettmers, R., D. A. Buehler, and J. B. Bartlett. 2002. A test and comparison
of wildlife-habitat modeling techniques for predicting bird occurrence
at a regional scale. Pp. 607-616 in Predicting Species Occurrences:
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1998. Tassel-eared Squirrel population dynamics in Arizona: index techniques
and relationships to habitat conditions. Arizona Game and Fish Department
Research Technical Report #27.
Dodd, N. L., J. S. States, and S. S. Rosenstock. 2003. Tassel-eared
squirrel population, habitat condition, and dietary relationships in
north-central Arizona. Journal of Wildlife Management 67:622-633.
Farmer, O. and R. Kadmon. 2003. Assessment of alternative approaches
for bioclimatic modeling with special emphasis on the Mahalanobis distance.
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Guisan, A. and N. E. Zimmermann. 2000. Predictive habitat distribution
models in ecology. Ecological Modelling 135: 147-186.
Hilbe, J. M. 1994. Generalized linear models. The American Statistician
48: 255-265.
Kaufman, N. M. 1995. Recovery plan for the Mexican Spotted Owl (Strix
occidentalis lucida). USDA Forest Service and USDI Fish and Wildlife
Service.
Lee, R. M., J. D. Yoakum, B. W. O’Gara, T. M. Pojar, and R. A.
Ockenfels. 1998. Pronghorn Management Guides. Eighteenth Biennial Pronghorn
Antelope Workshop. Arizona Antelope Foundation.
Mollohan, C. M., D. R. Patton, and B. F. Wakeling. 1995. Habitat selection
and use by Merriam’s Turkey in northcentral Arizona. Arizona
Game and Fish Department Research Technical Report #9.
Ockenfels, R. A., A. Alexander, C. L. D. Ticer, and W. K. Carrel. 1994.
Home ranges, movement patterns, and habitat selection of Pronghorn
in central Arizona. Arizona Game and Fish Department Research Technical
Report #13.
Reynolds, R. T., R. T. Graham, M. H. Reiser, L. Bassett, P. L. Kennedy,
D. A. Boyce Jr., G. Goodwin, R. Smith, and E. L. Fisher. 1992. Management
Recommendations for the Northern Goshawk in the Southwestern United
States. USDA Forest Service General Technical Report RM-GTR-217.
Skidmore, A. K., A. Gauld, and P. Walker. 1996. Classification of kangaroo
habitat distribution using three GIS models. International Journal
of GIS 10: 441-454.
Wakeling, B. F. 1991. Population and nesting characteristics of Merriam’s
Turkey along the Mogollon Rim, Arizona. Arizona Game and Fish Department
Research Technical Report #7.
Wakeling, B. F., and T. D. Rodgers. 1995. Winter habitat relationships
of Merriam’s Turkeys along the Mogollon Rim, Arizona. Arizona
Game and Fish Department Research Technical Report #16.
See also
GIS spatial modeling tools
Vegetation modeling tools
Fire modeling tools
Watershed modeling tools
Treatment modeling tools
Social Science evaluation tools
Last updated
January 10, 2007
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