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                  <text>Dan Prenzlow, Director, Colorado Parks and Wildlife • Parks and Wildlife Commission: Marvin McDaniel, Chair • Carrie Besnette Hauser, Vice-Chair
Marie Haskett, Secretary • Taishya Adams • Betsy Blecha • Charles Garcia • Dallas May • Duke Phillips, IV • Luke B. Schafer • James Jay Tutchton • Eden Vardy

�Anderson, Charles R. J r . , A Siahtabilitv Model for Moose
Developed From Helicopter Surveys in Western W y o m i n g .
M.S., Department of Zoology &amp; Physiology, May, 1994.
I conducted helicopter surveys of radiocollared moose
(Alces alces) to determine factors that influence moose
sightability from the air and to develop a predictive
model for future surveys.

Variables measured were time of

day, sex/age composition of groups, % vegetative cover and
vegetative cover type, % snow cover, topography, moose
activity,

light intensity, group size, perpendicular

distance to the group, study area, and primary observer.
I determined significant variables using logistic
regression analyses.

Multivariate analyses indicated that

% vegetative cover was the only variable influencing
sightability.

Further analyses, however, suggested an

interaction between group size and topography may also be
important.

My final model selection was based on

compromises between statistical significance and
biological interpretation.

I selected the model that

included only % vegetative cover over the more complicated
models.

The model correctly classified 83% of 104

observations.

Estimator precision is best maintained when

moose are using open cover types (&lt;50% vegetative cover).

1

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�Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.

�A SIGHTABILITY MODEL FOR MOOSE DEVELOPED FROM
HELICOPTER SURVEYS IN WESTERN WYOMING

by
Charles R. Anderson Jr.

A thesis submitted to the Department of Zoology &amp;
Physiology and The Graduate School of The University
of Wyoming in partial fulfillment of the requirements
for the degree of

MASTER OF SCIENCE
in
ZOOLOGY &amp; PHYSIOLOGY

Laramie, Wyoming
May, 1994

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�UMI N um ber: E P 17480

INFORMATION TO USERS

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UMI

®

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�To The Graduate School:
The members of the Committee approve the thesis of
Charles R. Anderson Jr. presented on February 1, 1994.

rederick G^"-ii±hclz

Michael P./G i M i n g h a m

APPROVED:

William A. Gern, Head, Department of Zoology &amp; Physiology

Thomas G. Dunn, Dean, The Graduate School

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�ACKNOWLEDGEMENTS
The involvement of several Wyoming Game and Fish
personnel was critical in obtaining the objectives of this
project.

I thank Dave Moody and Joe Bohne for their much

needed assistance through most aspects of this study.
Doug McWhirter, Bill Long, Steve Kilpatrick, Garvice Roby,
Ron Lockwood, Neil Hymas, and Glen Stout were invaluable
as aerial observers.

Don Kwiatkowski and Tom Thorne

provided valuable veterinary assistance.
I thank Fred Reed, Merlin Hare, and Bob Robertson of
Western Air Research for their fixed-wing expertise.
Helicopter pilots Claud Tyrell and Dan Williams of Hawkins
&amp; Powers Aviation and Dave Savage of Savage Air Services
were gratefully appreciated.

Special thanks to Steve

Kerr, Colorado State University Veterinary Teaching
Hospital, for lending his veterinary skills at a critical
time in this project.

I also thank Bill Lance of Wildlife

Pharmaceuticals, Inc. for supplying the moose sedatives.
Thanks to Dave Leptich, Idaho Dept, of Fish &amp; Game, for
demonstrating this survey technique, and Oz Garton,
University of Idaho, for explaining the statistics.
Global Position System technology was explained by Eric
ii

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�Winthers, Bridger-Teton National Forest, USFS.

Richard

Anderson-Sprecher, University of Wyoming, gave valuable
statistical advice.

Don Whittaker and Loren Ayers

provided helpful suggestions when I was office bound, and
Mike Hooker provided valuable assistance throughout the
field stages of this study.
My graduate committee members, Dr. Fred Lindzey, Dr.
Mike Gillingham, and Dr. Doug Bonett, were very helpful
throughout all phases of my graduate experience.

I also

thank the Wyoming Game and Fish Department for funding
this project.
Finally, I thank my wife Tracy for making long
wintery treks across Wyoming and putting up with my
absence for the past 2 years, and my parents Chuck and
Denise for their support and encouragement.

iii

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�TABLE OF CONTENTS
INTRODUCTION............................................

1

DESCRIPTION OF STUDY AREAS............................
Greys River Ar e a .................................
Snake River A r e a .................................
Hams Fork Ar e a ....................................

12
12
14
14

METHODS.................................................
Moose Capture.....................................
Sightability Trials................................
Sightability Model................................
Model Selection..................................
Model Precision..................................

15
15
16
23
26
27

RESULTS.................................................
Sightability Analysis............................
Sightability Model Selection.....................
Predictive Sightability Model....................
Sightability Model Precision.....................

29
37
39
43
45

DISCUSSION..............................................
Model Selection...................................
Factors Influencing Moose Sightability..........
Comparison to Other Sightability Model Research.
Model Precision...................................
i
Management Summary................................

48
48
50
57
59
61

LITERATURE CITED.......................................

64

APPENDIX A.

70

Sightability Data Sheet.................

iv

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�INTRODUCTION

Aerial surveys are the only practical way to estimate
ungulate numbers in most of North America (LeResche and
Rausch 1974, Timmerman 1974, Gassaway and Dubois 1987).
These surveys, however, often provide biased estimates and
only under specific conditions do they allow detection of
even large population changes (Caughley 1974, Gassaway et
al. 1985).

Ideally, aerial survey estimators should be

accurate, precise, cost effective (Gassaway et al. 1986),
and repeatable to provide timely management decisions.
The 2 major sources of error encountered in aerial
surveys are caused by the spatial variability of animals
(sample variance; Steinhorst and Samuel 1989) and failure
to observe all animals during surveys (visibility bias;
Caughley 1974, LeResche and Rausch 1974, Samuel and
Pollock 1981, Steinhorst and Samuel 1989).

Recent

advances in aerial survey techniques (Cook and Jacobson
1979, Crete et al. 1986, Gassaway et al. 1986, Bartmann et
al. 1987, Samuel et al. 1987, White et al. 1989) have
improved precision by incorporating estimates for most
sources of variation and decreased estimator bias so that
repeated estimates may center near the true value
(Gassaway and Dubois 1987).

1

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�Seldom, if ever, are all animals seen during aerial
surveys thus causing biased estimates of population size
and composition.

This obvious bias in aerial surveys led

to the development of methods that correct for unseen
animals.

Techniques recently developed to correct for

animals missed during aerial surveys include mark-resight
(Bartmann et al. 1987), resurvey (Gassaway et al. 1986),
line transect (White et al. 1989, Johnson et al. 1991),
and logistic regression models (Samuel et al. 1987,
Ackerman 1988, Otten et al. 1993).

Application of

techniques that estimate sightability correction factors
has greatly enhanced population statistics.

The level of

accuracy and precision from these techniques, however, is
limited by the ability to meet their respective
assumptions.
Mark-resight estimates of population size (Bartmann
et al. 1987, Neal et al. 1993) are derived from at least 1
survey where correction factors are estimated from the
proportion of marked animals seen in the population.
Unbiased population estimates are obtained from this
method if: 1) the population is geographically and
demographically closed, 2) animals do not loose their
marks, 3) marked animals are correctly identified,
counted, and recorded, and 4) each animal has the same
sighting probability during each sighting occasion (Otis

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�et al. 1978).

Although most of these assumptions can be

met with adequate survey design, assumptions of equal
sightability may be difficult to meet if factors causing
sightability bias are variable (e.g., group size, habitat
type).

Neal et al.

(1993) reported that mark-resight

estimates of mountain sheep (Ovis canadensis) were very
sensitive when sightability was heterogeneous.

Monte

Carlo simulations suggested that although bias was small,
estimates were less precise than confidence intervals
suggested.

Additionally, Bartmann et al.

(1987)

recommended that &gt;45% of small populations should be
marked to provide reliable mark-resight estimates of mule
deer (Odocoileus hemionus) .

This marking intensity may be

cost prohibitive.
The resurvey estimator (Gassaway et al. 1986) is the
most commonly used correction technique for moose (Alces
alces) surveys in North America (Gassaway and Dubois
1987).

Application of this method requires that a

standard search intensity (1.5-2.4 min/km2) be conducted
over a random sample of search units for each strata, that
a portion of search units be resurveyed at a higher search
intensity (4.6 min/km2) to correct for animals missed
during the standard search, and that a previously
determined correction factor from radiocollared animals
missed during intense searches be applied.

Gassaway et

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�al.

(1986) concluded it was not feasible or economical to

estimate correction factors in low density strata and
therefore pooled correction factor information over all
strata.

Becker and Reed (1990) criticized this approach

and proposed that sightability was not identical for all
strata.

They suggested that correction factor information

from intense searches be gathered in each strata to
account for heterogeneous sightability between strata.
This would alleviate some of the bias associated with
heterogeneous sightability.

Sightability, however, may

not be constant within strata if canopy structure or other
factors influencing sightability are variable.

Also, the

resurvey technique must rely on correction factors derived
from radiocollared animals because moose are missed even
under a high search intensity (Gassaway et al. 1986).
Population estimates will be biased and estimator
precision variable if this correction factor is applied as
a constant and not adjusted for variable sighting
conditions.
Estimating abundance using line transect sampling has
been applied to a variety of species (Buckland et al.
1993).

Correction factors for line transect estimates are

derived from a detection function that decreases with
distance from the transect line.
must be observed.

All animals on the line

Aerial line transect surveys have been

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�evaluated for moose (Thompson 1979), mule deer (White et
al. 1989), and pronghorn (Antilocapra americana. Johnson
et al. 1991).

Johnson et al.

(1991) reported that the

assumptions of line transect sampling could be met when
applied to pronghorn aerial surveys.

White et al.

(1989)

and Thompson (1979), however, reported that line transect
estimates of mule deer and moose numbers, respectively,
were underestimated in some cases.

They felt that this

was largely attributed to animals being missed on the
transect line during surveys.
Logistic regression models have recently been
developed for elk (Cervus elaphus: Samuel et al. 1987,
Otten et al. 1993) and mule deer (Ackerman 1988).

These

sightability models predict the probability of occurrence
for a dichotomous dependent variable (a group seen or
missed)

from aerial surveys via logistic regression

analysis.

Correction factors are developed from variables

that influence sightability (e.g., group size, canopy
cover) during initial model development using
radiocollared animals and subsequently applied on a group
by group basis during surveys.

The application of

logistic regression models to estimate population
parameters assumes: 1) population closure, 2) animal
groups are independently observed, 3) groups are
completely counted and counted only once, 4) the survey

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�design for land units can be specified, and 5) the
detection probability of a group can be estimated
(Steinhorst and Samuel 1989).

If a segment of the

population has no chance of being detected then assumption
5 cannot be met (Samuel et al. 1987).

Proper survey

design, however, should greatly reduce or eliminate this
situation in most cases.

The sightability model approach

is closely related to the mark-recapture and resurvey
methods discussed previously.
distinct difference.

There is, however, 1

Estimating sightability on a group

by group basis based on the influence of environmental
and/or behavioral factors does not require that all
animals have an equal and independent probability of being
sighted.

Additionally, marked animals are only needed

during model development.
Visibility bias during aerial surveys is exacerbated
by a variety of factors (Pollock and Kendall 1987).
Experience and number of observers, length of surveys,
aircraft type, flight pattern, air speed, height above
ground, and timing of surveys are factors that can be
standardized to improve accuracy and precision of
estimates and permit comparison of data among years
(Unsworth et al. 1991).

Group size (Cook and Jacobson

1979, Samuel and Pollock 1981, Gassaway et al 1985, Samuel
et al. 1987, Ackerman 1988), canopy cover (Samuel et al.

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�1987, otten et al. 1993), cover type (LeResche and Rausch
1974, Gassaway et al. 1985, Ackerman 1988), show
conditions (LeResche and Rausch 1974, Gassaway et al.
1986), light intensity (LeResche and Rausch 1974, Bisset
and Rempel 1991), time of day (LeResche and Rausch,
Timmerman 1974, and Crete et al. 1986) and animal activity
level (Gassaway et al. 1985, Ackerman 1988) may also
contribute bias to aerial survey estimates but are
difficult or impossible to control.

Sightability may also

decrease as distance from observers increases (Burnham and
Anderson 1984).

Important uncontrollable variables can be

incorporated into a logistic regression model to improve
population estimates and estimator precision over other
correction methods when perfect visibility along the
flight path or homogeneous sightability can't be achieved.
Steinhorst and Samuel (1989) developed a modified
Horvitz-Thompson estimator to estimate variance components
associated with the logistic regression estimator.

They

concluded that survey sampling error, sightability error,
and the error associated with estimating the sighting
probabilities (model error), needed to be addressed to
account for the spatial variability of animals and
visibility bias of animal groups.

Survey sampling error

can be controlled by employing a proper sampling scheme
(e.g., stratified random sample of land units), however,

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�the spatial distribution of animals and the degree of
sampling effort will determine the amount of variance
associated with this component.

The variance associated

with sightability error is dependant on the magnitude of
the correction factor applied to each observed group.

If

small groups were more difficult to detect than large
groups, for example, the correction factor applied to
small groups would be greater and the resulting
sightability variance would increase with the number of
small groups seen and corrected.

The third variance

component, model error, is derived from the variation not
explained by the model parameters in predicting
sightability (e.g., "noise" from observer variation,
changes in snow conditions).

Most population correction

methods disregard the potential variation from extraneous
factors and assume that factors such as observers, pilots,
lighting conditions are fixed and do not contribute
variability to the population parameters being estimated.
When these factors are disregarded, estimates may be
overly precise.

The relative influence of each variance

component can change markedly depending on survey design,
visibility bias, and the sample size used to estimate
sighting probabilities (Steinhorst and Samuel 1989).
Estimates of population composition may be similarly
biased if all sex and age groups are not seen with equal

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�probability (Samuel et al. 1992).

Habitat preferences for

moose differed among sex and age groups in Ontario
(Thompson 1979, Novak 1981) and Alaska (Gassaway et al.
1985) causing some classes to be more difficult to see
than others during aerial surveys.

Similarly, biologists

in Wyoming observed higher bull:cow ratios during severe
winters than during mild winters (D'. Moody, Wyo. Game and
Fish Dep., pers. commun.)

indicating that habitat

selection by bulls during mild winters may have made them
more difficult to see than cows during traditional trend
surveys.

Applying correction factors to each group during

surveys should account for this bias and provide reliable
sex and age composition estimates.
Annual winter trend counts of moose are currently
used in Wyoming as a measure of population model
performance.

These surveys are traditionally applied only

to areas of concentrated use.

Sampling theory for finite

populations, however, requires the establishment of a
sampling frame where sampling units (i.e., land units
and/or animals) must have non-zero probabilities of being
sampled (Samuel et al. 1992).

While it is widely accepted

that animals are missed during aerial surveys (LeResche
and Rausch 1974, Caughley 1977, Cook and Jacobson 1979,
Pollock and Kendall 1987), trend counts are not adjusted
for moose missed during surveys.

Consequently, winter

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�trend counts for moose are not accompanied by estimates of
variance or sightability bias leaving managers with no
measure of the quality of these data.

Sightability models

developed for elk in Idaho (Samuel et al. 1987) and
Michigan (Otten et al. 1993) were compared against elk
drive counts in Montana (Unsworth et al. 1990) and
Michigan (Otten et al. 1993), respectively, and in both
cases provided abundance estimates comparable to drive
counts.

Sightability models have not been developed and

applied to estimate moose population parameters.
My objectives were to standardize most controllable
factors during aerial moose surveys, measure the bias
associated with the factors that were not controllable,
and develop a logistic regression model to estimate the
sightability of moose.

The influences of cover type,

percent vegetation cover, percent snow cover, group size,
topography, sex/age segregation, moose activity,
perpendicular distance, light intensity, time of day,
observers, and study areas were examined to test the
hypotheses that these factors do not significantly
influence (P &lt; 0.05) aerial moose sightability.
Individual factors that influenced sightability were
examined collectively with multivariate analysis to test
the hypothesis that these factors are not interrelated.

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�11
These hypotheses were tested to assist in the development
and evaluation of a moose sightability model.

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�STUDY AREAS AND METHODS

STUDY AREAS
Three study areas were chosen in western Wyoming
(Fig. 1).

These areas afforded a variety of habitat types

that supported wintering moose, and are representative of
moose winter range throughout the state.
Grevs River Area.

The Greys River Area (GRA),

predominantly southeast of Alpine, WY (Sublette Moose Herd
Unit, Moose Hunt Area 23), was bounded by the Salt River
Range on the west, the South Fork of Indian Creek on the
north, the Wyoming range on the east, and Moffat and
Deadhorse Creeks on the south.

Primary drainages in GRA

were the Greys River and the Little Greys River.
Elevations ranged from about 1829 m (6000 ft) to 2499 m
(8200 ft).
GRA was topographically rugged with steep-sided
valleys and narrow riparian corridors.

Riparian

vegetation was dominated by willow (Salix spp.)
interspersed with narrowleaf cottonwood (Populus
anaustifoliaf and Engelmann spruce (Picea enoelmannii) .
Upland sites supported stands of aspen (Populus
tremuloides), lodgepole pine (Pinus contorta), and
Douglas-fir (Pseudotsuga menziesii)
sagebrush (Artemisia tridentata) .

interspersed with big
Higher elevations were

12

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�13
22

JACKSON
r \~ x i SRA
r ^ l GRA
HFA
189

RIVER

ALPINE

O

PINEDALE

191

89

x
&lt;

o

189

30

KEMMERER

Fig. 1. Location of the Snake River (SRA), Greys River
(GRA), and Hams Fork (HFA) moose sightability study areas
in western Wyoming.

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�14
vegetated primarily by subalpine fir (Abies lasiocarpa)
and spruce.

Upland shrubs common throughout the area

included rose (Rosa wopdsii), mallow ninebark (Phvsocarpus
malvaceus), Saskatoon serviceberry (Amelanchier
alnifolia), and common snowberry (Svmphoricarpos albus:
Rudd and Irwin 1985).
Snake River Area.

The Snake River Area (SRA),

southwest of Jackson, WY (Sublette Herd Unit, Moose Hunt
Area 20), was bounded by the Snake River Range on the
west, State Highway 22 on the north, U. S. Highway 191 on
the east, and Dog Creek on the south.

Elevations ranged

from about 1829 m (6000 ft) to 2103 m (6900 ft).
Topography in SRA was flat to moderately steep with a
broad flood plane formed by the Snake River to the east
and several narrow drainages emanating from the mountains
to the west.

The Snake River floodplain was vegetated

primarily by narrowleaf cottonwood and willow with
infrequent pockets of spruce.

Douglas-fir and quaking

aspen were dominant in upland areas with big sagebrush
occurring occasionally.
Hams Fork Area.

The Hams Fork Area (HFA), northwest

of Kemmerer, WY (Lincoln Moose Herd Unit, Moose Hunt Area
26), was bounded by U. S. Highway 30 and the Smith's Fork
River on the west, an east-west line along the southern
edge of Lake Alice on the north, Commissary Ridge on the

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�15
east, and U. S. Highway 30 on the south.

Elevations

ranged from about 2164 m (7100 ft) to 2499 m (8200 ft).
HFA was a complex riparian system with flat to
rolling topography within several broad river systems.

A

variety of willow species dominated riparian areas.
Upland areas at lower elevations were vegetated primarily
by big sagebrush and aspen.

Subalpine fir and lodgepole

pine were the dominant species at higher elevations with
aspen occurring in some areas.

Big sagebrush, Saskatoon

serviceberry, and antelope bitterbrush (Purshia
tridentataf were interspersed throughout higher
elevations.

METHODS
Moose Capture.

Moose were approached on foot and

immobilized with drugs administered in a dart fired from a
rifle (model 171c,
Williamsport, P A ) .

.50 cal., Pneu Dart, Inc.,
We used 20 mg Medetomidine with 600 mg

Ketamine or 3 mg Carfentanil with 50 mg Xylazine (Wildlife
Pharmaceuticals, Inc., Ft. Collins, CO).

The effects of

Medetomidine and Carfentanil were antagonized with 80 mg
Atipamezole (20 mg intravenous and 60 mg subcutaneous) and
300 mg Naltrexone (0.75 mg intravenous and 2.25 mg
subcutaneous; Wildlife Pharmaceuticals, Inc., Ft. Collins,
CO), respectively.

Moose were fitted with radio

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�16
transmitter collars with activity sensing options (MOD500, 148 MHz, Telonics, Inc., Mesa, A Z ) , blood samples
were taken, and ear tags were attached.

Capture location,

sex, estimated age, transmitter frequency, collar symbol,
and ear tag numbers were recorded.

Ritchey plastic

livestock collars (Ritchey Sales, Brighton, CO; white with
black symbols, 11.4 cm wide) were attached to each
radiocollar to. aid aerial observers in identifying moose
once located.
Sightability Trials.

Pre-survey flights were

conducted using a fixed-wing aircraft (Maule M5) to locate
radiocollared moose.

The fixed-wing pilot then randomly

located a 4.6 km2 (1.8 mi2) circular plot over each moose
location and radioed the coordinates to the helicopter
survey crew.

We used a GPS Apollo 820™ receiver (II

Morrow, Inc., Salem, OR) to determine moose locations
during pre-survey flights, and a GPS Pathfinder Basic™
receiver (Trimble Navigation, Ltd., Sunnyvale, CA) to
navigate the helicopter and delineate search unit
boundaries.

Survey crews were directed to search units

that contained 0-2 radiocollared moose groups (&gt;1
moose/group).
Sightability surveys were flown in a turbo-charged
Bell-47, a Hiller-Soloy, or a Hiller-12E helicopter.

All

3 helicopters were structurally similar except for engine

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�type and afforded good visibility with 3 seats abreast.
The helicopter crew consisted of a pilot, a primary
observer (experienced in aerial moose surveys and familiar
with the survey area), and a secondary observer (at least
some aerial survey experience).

The pilot was seated in

the middle with observers on either side for both Hillers;
the pilot sat on the left and observers on the right in
the Bell.

All 3 crew members assisted in spotting and

classifying moose.

The primary observer recorded data,

and the secondary observer operated the GPS receiver and
located moose with a telemetry receiver (TR-2, 148/150
MHz, Telonics, Inc., Mesa, AZ) after the survey.
Observers were limited to a maximum of 4 hours/day in the
helicopter to minimize observer fatigue.
Search units were typically surveyed flying 150-250-m
(492-820 ft) wide strip transects in areas of minimal
topographic relief, or contour intervals in broken
topography.

Distance between transects was least in areas

with greatest canopy cover.

Surveys were flown at 30-46 m

(100-150 ft) above the ground at a speed of 56-72 km/hr
(35-45 m p h ) .

Surveys typically began at low elevations

and progressed upslope.

When the survey block was

approached the specific radiocollar frequency was selected
and audio output fed directly to a tape recorder.
and observers could not hear the signal.

Pilot

Radiocollared

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�18
moose missed during surveys were located using helicopter
mounted telemetry eguipment immediately after a search
unit was surveyed.
Group size, topography (flat, moderate, or steep),
vegetation type, percent vegetative cover, percent snow
cover, light intensity (flat or bright), sex and age (calf
or adult) of each group member, perpendicular distance
from the group to the flight line, and moose activity were
recorded for radiocollared moose seen or missed during
surveys (Appendix A ) .

Observers, study area, and time

required to survey each search unit were also recorded.
Vegetation type was classified into categories based on
dominant species and structure where the group was first
seen (Appendix A ) .

Percent snow and vegetative cover

(recorded in 5% increments) were estimated within a 9-m
(30 ft) perimeter around a group where it was first
observed.

Percent vegetative cover was determined by

flying a complete circle at an oblique angle around the
point where moose were first seen, and estimating the
proportion of that area that was obscured from view by
vegetation (Fig. 2).

Any vegetation that blocked the view

of the animals was considered vegetation cover (Unsworth
et al. 1991:7, Appendix B ) .
Helicopter locations were recorded every 3 seconds
using a GPS Pathfinder Basic™ receiver to delineate

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�Fig. 2. Examples of percent vegetative cover as estimated
during helicopter sightability trials of moose in western
Wyoming, winter 1993 (After Unsworth et al. 1991).

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�transect paths during the survey.

Moose locations were

determined with the GPS receiver by flying over the
position where the group was first observed and recording
that location.

Transect paths and moose locations were

differentially corrected using the computer software
package PFINDER™ (version 2.14, Trimble Navigation, Ltd.,
Sunnyvale, CA) with GPS base data obtained from USFS base
stations in Jackson, WY, McCall, ID, or Missoula, MT to
maintain position accuracy within 5 m (Trimble Navigation,
Ltd. 1992:39).

Some elevations associated with 2-

dimensional GPS positions appeared incorrect and may have
resulted in inaccurate locations.

Consequently, if the

altitude of a 2-dimensional GPS position differed &gt;50 m
from the corresponding topographic map elevation, the
position was adjusted to reflect the map elevation.
Thirty meters was added to each map elevation to account
for the height of the helicopter.

Distance from the

transect path to moose group locations was measured in
perpendicular distance from the closest transect path (for
groups missed during surveys) or the path from which the
group was seen (for groups seen during surveys) using the
measure command in PFINDER™ (Fig. 3).
I observed radiocollared moose from the ground and
documented their activity while simultaneously tape
recording signal characteristics to develop a signal

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�21

Diet ( N ) ; 57.615422, Fare fen : 24B.B63174. Back fen : (B.ffiZTO

Fig. 3. Map depicting flight pattern (top) and
perpendicular distance from transect path to moose
location (bottom) during a helicopter sightability trial
of moose in western Wyoming, winter 1993.

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�profile to estimate moose activity from signal
characteristics alone.

Activity for radiocollared moose,

seen during surveys, was recorded for the first group
member observed.

I determined activity of radiocollared

moose missed during surveys by comparing their activity
when located with telemetry equipment after the survey to
the tape-recorded characteristics of their radio signal
during the survey flight.

Moose activity was initially

recorded as bedded, standing, or moving when observed.

I

did not feel that I could reliably document whether a
moose that was missed was standing or moving during
surveys based on observations after surveys or recorded
signal characteristics.

Therefore, all moose activity

data were reclassified as simply bedded or active
(standing or moving).

I examined recorded pulse rates for

moose missed during surveys for the 4 minutes
corresponding to the transect path near moose locations
(from GPS data) to determine if the recorded signal
characteristics agreed with the observed activity of the
moose when it was located after the survey.

I assumed a

slow constant pulse rate (about 65 beats/min, head up)
indicated a bedded moose and a variable or fast pulse rate
(about 100 beats/min, head down) indicated an active
moose.

I also considered a moose bedded if the pulse rate

changed from slow to variable or fast for a single episode

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�23
&lt;15 seconds during the time period examined.

If the

recorded radiocollar frequency indicated a different
behavior during the survey than was observed when the
moose was first seen after the survey, activity adjusted
from the tape-recording was used in analysis.
Siahtabilitv Model.

I used univariate analyses to

determine individual relationships of the independent
variables with the dichotomous dependant variable (moose
groups seen or missed), and to determine appropriate
groupings for the discrete variables.

Categorical

independent variables (time of day, sex/age groupings,
topography, moose activity, light intensity, cover type,
study area, and primary observer) were examined using

x2

contingency analysis (Zar 1984, SAS Institute, Inc., 1988;
Proc Freq).

Continuous independent variables (%

vegetative cover, % snow cover, group size, and
perpendicular distance) were examined using univariate
logistic regression (Hosmer and Lemeshow 1989, SAS
Institute, Inc., 1990; Proc Logist).

The likelihood ratio

X2 test from a contingency table is identical to the value
of the likelihood ratio test of a univariate logistic
regression model where the dependant variable is
dichotomous (y = 0, 1; Hosmer and Lemeshow 1989).

I

combined categories for discrete independent variables if
the x2 score improved and biological interpretation

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�24
remained intact.

Additionally, a t-test was used to

determine if bull groups and cow and cow/calf groups
selected different vegetative cover densities based on
percent vegetation cover observed for each group during
sightability trials.
Multivariate analysis of data from moose groups seen
or missed during helicopter sightability trials was
conducted using forward stepwise logistic regression
(Dixon et al. 1988; BMDP-LR, Hosmer and Lemeshow 1989, SAS
Institute, Inc., 1990; Proc Logist) where the dependant
variable (groups seen or missed)

is dichotomous with

values 1 (probability 9) and 0 (probability 1 - 9 ;
Kleinbaum et al. 1988).

I used maximum likelihood

estimation to predict model parameters.

The dichotomous

classification of moose groups seen or missed served as
the dependent variable, and all other variables served as
the independent variables.

To guard against the

inadequacies of stepwise analysis (Jones and McCulloch,
1990), I also included significant variables (P &lt; 0.05)
from univariate analyses in the logistic model (1 at a
time) with variables selected after multivariate stepwise
analysis to determine if their significance became
important.

I used significant (P &lt; 0.05) independent

variables to develop the sightability model to predict the
probability of observing moose groups under a variety of

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�25
environmental factors and behavioral conditions.

The

logistic regression is:
exp"
7T =

-------------- '

1 + expu
where

re

is the sighting probability and

u = 60 + BiXj +

R 2x 2

+

...

+

6kxk

is the linear regression equation of variables (xlf x2,
..., xk) significantly influencing sightability.
inverse of

n

The

is the correction factor applied to each

group observed during surveys.
Non-linear transformations of continuous variables
were tested for significance to test the assumption that
these variables in the logit are linear.

Reciprocal,

natural log, square root, squared, and cubed
transformations of all continuous variables and arcsine
square root transformations of percent vegetative cover
and percent snow cover were also examined.

Two-way

interactions of all independent variables were considered
as well as the 3-way interaction between percent
vegetative cover, group size, and topography.
Problems were encountered with independent
categorical variables in which moose were always observed

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�and never missed in a given category (i.e., cover type and
observers), and when the product of an interaction term
resulted in categories where all moose were seen or
missed.

The asymptotic

x2 distribution

may not hold for

highly imbalanced data causing x2 values to be biased high
from Wald, likelihood ratio, and scores x2 tests (Zar
1984:49, 70, Mehta and Patel 1993:Appendix A).

To examine

the influence of imbalanced categorical variables, I used
the exact scores statistic (Mehta and Patel 1993) when
possible.

However, when some variables containing 0 cell

frequencies (i.e., all seen or missed) were forced into
the logistic regression model I could not derive x2
statistics because the maximum likelihood estimates were
not obtainable and computations were too complex to
determine the exact scores.

When this occurred, I

examined the stepwise significance of the variable outside
the model containing previously selected variables.
Model Selection.

I developed a number of models

during the model building phase of analysis.

Model

selection was based on compromises between: 1) significant
(P &gt; 0.05) improvement in the x2 score from the Wald test
for variable addition, 2) biological soundness, 3) the
change in predictability (i.e., percent of moose
observations correctly classified as seen or missed by the
given model) as model complexity decreased, and 4) the

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�27
relative change in coefficients already in the model by
removal of potentially important variables (Hosmer and
Lemeshow 1989:88).

I examined model fit using Hosmer-

Lemeshow and Brown's goodness-of-fit x2 tests (Hosmer and
Lemeshow 1989).
Model Precision.

To illustrate the influence of

percent vegetative cover on precision of population
estimates and the relative contribution of the variance
components, I constructed 2 data sets from moose groups
that were seen during model development.

The first data

set was developed to illustrate survey results expected in
dense canopy habitats (e.g., late winter surveys) and the
second to illustrate results expected in relatively open
habitats (e.g., Hams Fork Area).

Number of moose (n =

181) and group size distribution was identical in the 2
constructed data sets, but percent vegetative cover was
&lt;70% for the first (moose were not seen in &gt;70% vegetation
cover during model development) and &lt;50% for the second.
Moose seen in &gt;50% vegetative cover in the first
constructed data set were simply reassigned 50% vegetative
cover for the second data set.

To incorporate sampling

variance in this comparison, I assumed both data sets were
sampled without replacement and with similar intensity
(i.e., high density strata = 91%, low density strata =
50%).

I then removed the same randomly selected search

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�28
units from each constructed data set to examine the
influence of reduced sampling intensity on variance
estimates (i.e., high density strata = 82%, low density
strata = 40%).

These data sets were constructed to assist

in the development of future sampling strategies.

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�RESULTS

Seventeen moose (2 yearling and 5 adult bulls, and 1
yearling and 9 adult cows) were radiocollared in GRA; 1
bull lost his collar and 1 cow died before sightability
trials.

Nine moose (1 yearling and 3 adult bulls, and 1

yearling and 4 adult cows) were radiocollared in SRA.
Moose sightability trials were conducted in GRA on
February 28, March 1, 3, 21, 23, and 29, 1993

(n = 44),

and in SRA on February 8, 26, March 2, 4, 22, 24, and 26,
1993 (n = 52).

Sightability trials were also conducted on

April 14 and 15, 1993 in HFA sampling 5 moose (5 adult
cows, n = 9) radiocollared during another study (Lockwood
1991).

Ninety, 9, and 6 moose groups were sampled in the

Hiller-Soloy, Hiller-12E, and Bell-47 helicopter,
respectively.

Nine, 91, and 7 of the units surveyed

contained 0, 1, and 2 radiocollared moose, respectively.
Average survey time for each search unit completely
searched was 21.2 minutes (SD = 5.4 mi n ) .
I collected 105 observations of 29 radiocollared
moose from 6 February to 15 April 1993.

On 1 occasion a

radiocollared moose missed during the survey was later
found standing in open water.

The dark background of the

water blended well with the dark coloration of the moose.
The influence of percent snow cover (0%) was strongly

29

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�30
weighted by inclusion of this observation since this moose
was likely missed because it blended with its surroundings
and not necessarily because of lack of snow cover.
Additionally, I believe that our search image changed once
we were aware of the possibility of missing moose in open
water, and therefore we increased our search intensity
over water during subsequent surveys.

Two other moose

were later seen in water during surveys.

Consequently,

I

deleted the first observation of a moose standing in water
from further analysis.

Of the 104 remaining moose groups,

61 were seen (x = 1.52 moose/group) and 43 were missed (x
= 1.28 moose/group) during surveys.
I was unable to calculate distance from the transect
path to moose on 18 occasions due to problems with the GPS
receiver.

Ocular estimates of distance to moose seen

proved inaccurate.

Therefore, the influence of

perpendicular distance on aerial moose sightability was
analyzed using the remaining 86 observations.

Fifty were

from moose seen during surveys and 3 6 were from moose
missed.

All 86 transect path and moose location files

were differentially corrected from GPS base station data.
Distance measurements from 67 of the transect path and
corresponding location files were from 3-dimensional
positions.

Distance measurements from the remaining 19

files were from 2-dimensional transect path, location, or

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�31
transect path and location files.

Elevations for 2-

dimensional positions were adjusted for 8 of the 19
distance measurements because elevations differed &gt;50 m
from corresponding topographic map elevations.
Perpendicular distance from the transect path was
greater for moose that were seen than moose that were
missed (Table 1).
method.

This difference was due to our sampling

Perpendicular distance was measured to the point

where the radiocollared moose group was first seen
regardless of whether the distance exceeded transect
spacing (&lt;548 m ) .

Perpendicular distances for moose that

were missed, however, were restricted to being no greater
than 1/2 the transect width (&lt;154 m ) .
Twelve moose groups were encountered at distances
&gt;125 m.
surveys.

Two groups were missed and 10 were seen during
Nine of the 10 groups seen were in open habitat

types (&lt;25% vegetation cover).

The tenth group was

initially missed at 65 m, and observed from the next
transect path at 261 m in 70% cover.

To retain

comparability in the data (i.e., group long distances for
moose seen in open habitat with a distance category where
moose could be potentially missed), I grouped
perpendicular distances into 25-m categories and pooled
observations beyond 125 m into a single category.
Therefore, distance values from 1-6 were used in analyses.

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�Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.

Table 1. Results of univariate and multivariate analyses of independent variables measured
during helicopter sightability trials of moose in western Wyoming during winter, 1993.

Variable

n

% Seen

Stepwise15
significance

x2
(univariate)

Univariate®
significance

x2
(multivariate)

0.962

0.916

1.480

0.830

2.718

0.257

0.960

0.620

0.418

0.518

0.500

0.478

0.067

0.795

0 i850

0.356

DISCRETE
Time of day
0800-1000
1000-1200
1200-1400
1400-1600
1600-1800

11
28
24
30
11

64
61
58
60
45

Sex/age
Bull(s)
Cow(s)
Cow/Calf

41
34
29

49
65
66

45

62

59

56

28
76

61
58

Animal activity
Bedded
Standing/
Moving
Light intensity
Flat
Bright

u

to

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Table 1.

Continued.

Variable

n

% Seen

x2

x2

Stepwiseb
significance

(univariate)

Univariate®
significance

5.533

0.019

3.070

0.080

37.331

&lt;0.001

4.390

0.222

7.908

0.019

2.210

0.332

(multivariate)

DISCRETE
Topography
Flat
Moderate/
Steep

48

71

56

48

6

100

Cover Type
Open/Water
Deciduous
Shrub
Deciduous
Timber
Conifer

17

100

23
58

83
33

Study areas0
SRA
GRA
HFA

51
44
9

65
45
89

u&gt;
u&gt;

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Table 1.

Continued

Variable

n

% Seen

x2

x2

(univariate)

Univariate®
significance

(multivariate)

19.455

0.007

13.220

0.067

2.623

0.105

0.240

0.625

5.596

0.018

3.020

0.082

Stepwiseb
significance

DISCRETE
Observers'1
1
2
3
4
5
6
7
8

28
26
15
11
8
7
5
4

46
62
87
55
50
14
100
75

Distance®
0-25m
26-50m
51-75m
76-100m
101-125m
126m+

24
15
19
11
5
12

58
60
26
73
80
83

Group size
1
2
3

62
40
2

50
70
100

CONTINUOUS

OJ

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Table 1.

Continued.

Variable

n

% Seen

x2

(univariate)

Univariate®
significance

(multivariate)

x2

Stepwiseb
significance

57.639

&lt;0.001

57.639

&lt;0.001

1.987

0.159

1.180

0.276

Continuous
% vegetative cover
5-15
26
20-35
29
40-50
22
55-70
23
75-80
4

100
79
36
17
0

% snow cover
0-20
25-40
45-60
65-80
85-100

100
100
67
44
58

3
1
6
9
85

“Univariate results from x2 contingency analysis of discrete independent variables and
logistic regression analysis of continuous independent variables.
bFinal significance of independent variables after stepwise logistic regression
analysis with only percent vegetation cover included in the model (P &lt; 0.05).
CSRA = Snake River Area, GRA = Greys River Area, HFA = Hams Fork Area.
dNumber represents each primary observer present during moose sightability trials.
“Analysis of perpendicular distance based on 86 observations due to 18 missing data
points during sightability trials (all other variables are based on 104 observations).
u&gt;
( ji

�36
Four moose were observed from the ground for a total
of 87 minutes while recording characteristics of their
radio signals.

These moose were active for 59 minutes and

bedded for 28 minutes.

Pulse rates varied from constant

slow, variable, and constant fast while active.

Standing

moose exhibited a constant slow pulse rate for no longer
than 3.23 minutes, while feeding moose generally exhibited
pulse rates that switched from slow to fast over
relatively short time periods (&lt;1 m i n ) .

Bedded moose,

however, exhibited only a constant slow pulse rate while
observed.
Signal characteristics were recorded for 35 of the 43
moose missed during surveys.

I assumed that the activity

observed after the survey was the same as during the
survey for the 8 occasions that signals were not recorded.
Recorded signal characteristics suggested that on 27
occasions a moose's activity (bedded or active) during the
survey was not different than its activity when observed
directly after the survey.

On 8 occasions moose activity

appeared to differ, however, and I reclassified activity
from active to bedded for 6 observations and from bedded
to active for 2 observations based on signal
characteristics when the moose was initially passed during
the survey.

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�I reduced the number of topography and cover type
categories to improve their fit to the dependant variable
observed or missed moose.

Improvement in the likelihood

ratio x2 f°r topography (from x2 = 5.967, df = 2, P =
0.051, to x2 = 5.533, df = 1, P = 0.019) indicated that
moderate and steep terrain affected moose sightability
similarly and only flat and moderate/steep categories were
needed.

The exact scores

x2 was

slightly improved (from

X2 = 35.458, df = 5, P &lt; 0.001 to x2 = 37.331, df = 3, P &lt;
0.001) when cover type categories were combined to
deciduous shrub, open/water, conifer, and deciduous
timber.

Percent vegetative cover was significantly

greater (t = 2.295, df = 1, P = 0.024) for bull groups (x
= 42%, SD = 23%) than cow and cow/calf groups (x = 33%, SD
= 19%) surveyed during sightability trials.
Sightability Analysis.

Univariate analyses of the

independent variables indicated that topography, cover
type, study area, primary observer, group size, and
percent vegetative cover significantly influenced
sightability (P &lt; 0.019; Table 1).
regression analysis, however,

Multivariate logistic

indicated percent vegetative

cover was the only important predictor of moose
sightability (P &lt; 0.001) from helicopters.

None of the

other variables strongly influenced sightability once
percent vegetative cover was entered during stepwise

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�analysis (P &gt; 0.067; Table 1), suggesting that topography,
cover type, observer differences, study area differences,
and group size were correlated with percent vegetative
cover.

The influence of topography, cover type, study

area differences, and group size did not become important
when each was forced into the model containing percent
vegetative cover (P &gt; 0.086).

I was unable to examine the

influence of observer differences on moose sightability,
however, when included in the model containing percent
vegetative cover.

The maximum likelihood estimate could

not be calculated because of the low sample sizes for some
observers making it impossible to estimate Wald or
likelihood ratio statistics.

I was also unable to compute

the exact scores statistic for observers.

I therefore

assumed that the stepwise significance of observers with
only percent vegetative cover in the model indicated that
observer differences did not have an important influence
on moose sightability (P = 0.067; Table 1) .
I also examined non-linear transformations of group
size, percent vegetative cover, percent snow cover, and
perpendicular distance to determine if these relationships
with sightability were stronger than their linear forms
but their contribution was less important in all cases.
The significance of the natural log (P = 0.084) and square

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�39
root (P = 0.083) transformations of group size, however,
were similar to the first-order term (P = 0.082).
All 2-way interactions of independent variables were
tested for significance.

The interaction between group

size and topography was significant (P = 0.038) when
included in the model with percent vegetative cover.

All

other interactions were not significant, including the 3way interaction between percent vegetative cover,
topography, and group size (P = 0.718).
Sightability Model Selection.

My objective during

model selection was to identify the model that fit best
while maintaining adequate predictability and reasonable
precision.

I felt it was necessary to group percent

vegetative cover into broader categories to clarify the
relationships between percent vegetative cover and the
group size*topography interaction.

Vegetative cover

classes (VCC) of 17.5% provided the lowest SE relative to
the estimated coefficient (CV = 0.182) of categories
compared (from 10-25%) and should maintain estimator
efficiency and, by grouping, reduce the potential bias
from field measurement errors of percent vegetative cover.
Percent vegetative cover is estimated in 5% categories
during actual surveys.
Previous analyses suggested that percent vegetative
cover and the interaction of group size*topography

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�strongly influenced moose sightability.

Examination of

the model containing VCC, group size, topography, and
group size*topography (model A) suggested that the main
effects (group size and topography) may not be important
predictors (P &gt; 0.058; Table 2) once VCC and the group
size*topography interaction are included.

I therefore

selected the simpler model containing only VCC (P &lt; 0.001)
and the group size*topography interaction (P = 0.023;
model B ) .

Variance was reduced and predictability was

only 2.9% less with this model (Table 2).
To interpret predicted sightability from model B, I
plotted the probability of detecting moose groups for the
range of variables encountered during the field phase of
model development (5 vegetative cover classes, group sizes
from 1-3, and flat or broken topography; Fig. 4).

The

predictions from model B indicated that sightability
should increase with increasing group size in flat
topography, however, the model also predicted that
sightability should decrease as group size increases in
broken topography (Fig. 4).
counter-intuitive.

The latter prediction is

My sample size (n = 104) may not have

been large enough to adequately investigate this
interaction because the data were spread over 30 cells (5
vegetative cover classes, 3 group sizes, and 2 topography
categories = 3 0 possible outcomes).

Most cell frequencies

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�41
Table 2. Statistical significance, parameter estimates,
and percent of observations (n = 104) correctly classified
for 3 moose sightability models developed from data
collected in western Wyoming during winter, 1993.

Model

Model
parameters

Significance®

Parameter
estimates

Percent
correctly
classified

A

84.6
Intercept
Vegetative
cover classb
Group size
Topography
Interaction0

0.005

3.60

&lt;0.001
0.058
0.077
0.021

-1.86
1.34
-1.75
1.69

Intercept
Vegetative
cover class
Interaction

&lt;0.001

5.26

&lt;0.001
0.023

-1.81
0.47

Intercept
Vegetative
cover class

&lt;0.001

5.04

&lt;0.001

-1.77

B

81.7

C

82.7

aSignificance levels from Wald x2 test where
significant results (P &lt; 0.05) indicate the coefficient
does not equal 0.
bl = 0-17%, 2 = 18-35%, 3 = 36-53%, 4 = 54-71%, 5 =
72-89%, 6 = 90-100%.
cGroup size*topography interaction.

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�42
0.9

-©

0.9

0.6

0.6

0.7

0.7

S 0.6
O
£ 0.6

0.6

§ 0.4

0.4

0.3

0.3

0.5

0.2

0.2
0.1

COVER CLASS 1 (0-

0.1

COVER CLASS 2 (18-35%)

T

3

1
0.9

1

COVER CLASS 3 (36-53%)

0.9

0.8

0.8

0.7

0.7

COVER CLASS 4 (54-71°/

0.6

0.5

0.5

0.4

0.4

0.3

0.3

0.2

0.2

0.1

0.1

0
1
0.9

3
GROUP SIZE

COVER CLASS 5 (72-1 i°/
'O

0.8

0.7
0.6

= BROKEN TOPOGRAPHY

Q- 0.5

= FLAT TOPOGRAPHY

0.4
0.3
0.2
0.1

GROUP SIZE

Fig. 4. Estimated detection probabilities (model B) for 5
vegetative cover classes containing 1-3 moose/group in
flat or broken topography.
Comparisons based on 104 moose
groups surveyed during helicopter sightability trials in
western Wyoming during winter, 1993.

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�43
were &lt;5 and 9 were 0 (groups of 3 were rarely encountered;
Table 3).

Predictions from model B appeared unduly

influenced by relatively few observations.
The third model I evaluated (model C) excluded the
apparently spurious interaction term (group
size*topography) and retained only the independent
variable VCC (Table 2).

This model was the most precise

(i.e., lowest number of parameters), provided adequate
predictability (82.7%), and was well represented by the
data (i.e., 104 observations distributed from 5-80%
vegetation cover; Table 1).

Also, the relatively small

change in the parameter estimate for VCC among the 3
models indicated that exclusion of the main effects and
the interaction did not greatly influence the relationship
of vegetation cover with moose sightability (Table 2).
Therefore, model C was selected as the final model.
Predictive Sightability Model.

Model C was

developed to predict aerial moose sightability from the
parameter estimates in Table 2, where the linear
regression portion of the model is:

u = 5.044 - 1.772(VCC).

Vegetative cover class takes values 1-6 for each increase
of 17.5% vegetative cover.

The estimated SE for the

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�44
Table 3. Frequency at which 104 groups containing
radiocollared moose were seen and missed during helicopter
sightability trials in western Wyoming by vegetative cover
class, group size, and topography, winter 1993.
Group size®
Vegetative
cover
classb

Flat topography
1

2

Broken topography
3

1

2

1
Seen
Missed

8
0
(100)

7
0
(100)

1
0
(100)

8
0
(100)

2
0
(100)

2
2
(50)

8
0
(100)

1
0
(100)

6
2
(75)

6
2
(75)

1
5
(17)

3
0
(100)

0
0

3
6
(33)

1
3
(25)

2
3
(40)

1
1
(50)

0
0

1
10
(9)

0
5
(0)

0
2
(0)

0
1
(0)

0
0

0
1
(0)

0
0

2
Seen
Missed
3
Seen
Missed
4
Seen
Missed
5
Seen
Missed

“Values are n (% seen).
bl = 0-17%, 2 = 18-35%, 3 = 36-53%, 4 = 54-71%, 5 =
72-89% (radiocollared moose were not encountered in &gt; 80%
vegetative cover).

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�45
intercept and vegetative cover class coefficients were
0.919 and 0.322, respectively.

The negative coefficient

for vegetative cover class indicates that sightability
decreases with increasing vegetation cover (Fig. 5).
These data were appropriate for the logistic
regression model based on Brown's goodness-of-fit test (P
= 0.360).

The Hosmer-Lemeshow test, which is based on the

distance between observed and fitted values, also
suggested that these data fit the logistic regression
model (P = 0.492).
Model Precision.

Moose population estimates and

variances (90% Cl) for the dense canopy (&lt;70% vegetative
cover) and open canopy (&lt;50% vegetative cover) scenarios
were 423 + 106 and 342 ± 62, respectively, when search
intensity was 91% in high density strata and 50% in low
density strata.

Sampling variance, sightability variance,

and model variance for the dense canopy scenario comprised
0.59, 0.35, and 0.06 of the total variance, respectively.
For the open canopy scenario, sampling variance,
sightability variance, and model variance were 0.77, 0.22,
and 0.01 of the total variance, respectively.
Moose population size and variance estimates were 449
+ 129 and 352 + 74 for the dense and open canopy
scenarios, respectively, when sampling intensity was
reduced to 82% and 40% in the high and low density strata.

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�46

0.9

£ 0.8
55 0.7

I

0.6

DC

a- 0.5
Q 0.4
mI— 0.3
LJJ

Q 0.2
0.1

V E GE TA TIV E C O V E R C L A S S

Fig. 5. Estimated moose sightability (model C) by
vegetative cover class (1 = 0-17%, 2 = 18-35%, 3 = 36-53%,
4 = 54-71%, 5 = 72-89%, 6 = 90-100%), based on 104 moose
groups observed during helicopter sightability trials in
western Wyoming during winter, 1993.

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�The relative contribution of sampling variance,
sightability variance, and model error was 0.68, 0.27,
0.05 and 0.83, 0.16, 0.01 for the dense and open canopy
scenarios, respectively.

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�DISCUSSION

Model Selection.

I developed 3 predictive models of

moose sightability from helicopter surveys using 2
observers and a pilot.

All models appeared, based

primarily on the effect of vegetation cover, to provide
adequate predictability.

Two models, however,

included an

interaction between group size and topography.

Inclusion

of this interaction was based on a relatively small
proportion of the data set (Table 3).

Moose observed in

VCC 1 and 5 did not influence this interaction since all
groups were either seen or missed, respectively, in these
cover classes.

Group size in broken topography did not

influence the sightability of moose occurring in VCC 2,
but slightly fewer groups of 2 moose were seen during
surveys than single animals in VCC 3 and 4.

In flat

topography, group size may have increased sightability in
VCC 2 and 3 but did not in VCC 4.

The importance of the

group size*topography interaction in predicting moose
sightability is highly questionable since the increase in
sightability with group size in flat topography is based
on the 7 single moose missed in VCC 2 and 3, and
sightability was proportionately higher in broken
topography for single moose because of 2 single animals
seen in VCC 3 and 4.

Observations of the influence of

48

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�group size on sightability indicate that larger groups may
be more easily seen (Cook and Jacobson 1979, Samuel and
Pollock 1981, Gassaway et al. 1985, Samuel et al. 1987,
Ackerman 1988), supporting the model's prediction in flat
topography while contradicting its prediction in broken
topography.

I am aware of no biological reason that this

general trend should be reversed in broken topography.
This data set may simply be too small to address this
relationship.
Model A provided the best classification of the model
observations, however, this model contained 2 non­
significant parameters resulting in unnecessary model
variance.

Model B contained the significant interaction

term group size*topography, however, it was the least
predictive of the 3 models and was not biologically
plausible.

Model C was the simplest and most biologically

reasonable of the 3 models, and therefore should provide
the most precise and intuitive estimates.

If the

interaction of group size*topography is later found to
influence moose sightability, model C would be biased.

It

appears that this potential bias would be slight, however,
because the parameter estimate for vegetative cover class
did not change markedly after removal of the main effects
(model A) and the interaction (model B ) .

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�Factors Influencing Moose Sightability.

Based on

univariate comparisons, it appeared cover type,
topography, group size, study areas, and observers would
likely influence sightability of moose.

These factors,

however, did not contribute to discrimination in the
logistic model likely because they were correlated with
the dominant variable, percent vegetative cover.
et al.

Samuel

(1987) noted that studies estimating sightability

based on univariate analyses will tend to overestimate the
number of factors significantly influencing sightability.
Gassaway et al.

(1985) reported that habitat type,

group size, and activity influenced the sightability of
moose in Alaska.

They suggested that group size and

activity might be correlated but did not address the
relationship of habitat characteristics with other
factors.

Habitat type and group size were correlated with

percent vegetation cover during my evaluations in Wyoming
but moose activity did not appear important.
(1986)

Crete et al.

suggested that results of fixed-wing aircraft

surveys may be more sensitive to moose behavior than
results from helicopter surveys.

If this is the case, the

relative importance of activity between Gassaway et al.'s
(1985) study and mine may have been a product of aircraft
type used.

Gassaway et al.

(1985) used fixed-wing air

craft whereas I used helicopters for surveys.

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�I assumed that the activity of moose missed during
surveys corresponded with their observed activity after
the survey (n = 8) or the pulse rate of the i r .recorded
radio signals (n = 35; slow pulse rate = bedded and
variable or fast pulse rate = active).

Activity of the

moose immediately after the survey in which they were not
seen should not have changed in most cases because moose
were typically located 15-20 minutes after they were
missed.

Although, pulse rates corresponded well with

bedded and active moose observed, it was possible for an
active moose to exhibit a constant slow pulse rate and be
recorded as bedded when missed during surveys.
potential bias should be conservative.

This

Misclassifying

missed moose as bedded when they were active should
increase the chance of finding an influence of activity on
sightability, however, this influence was not present
(Table 1).
The topographic diversity of moose range in Wyoming
is greater than that in much of the species range in North
America.

I attempted to control for this factor by flying

contour intervals in broken topography to maintain a
relatively constant distance from observers to the ground.
Failure of topography to enter the model is not surprising
since percent vegetative cover and topography are likely
related in Wyoming.

Dense conifer typically dominates

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�52
upland slopes.

The Hams Fork Area, for example, was the

least topographically diverse and had little conifer cover
whereas the Greys River Area was very rugged and dominated
by conifers.
Previous studies evaluated the influence of observer
differences during aerial surveys over a wide range of
observer experience levels and found important differences
(LeResche and Rausch 1974, Caughley et al. 1976).

In

contrast, Ackerman (1988) found that sightability did not
differ when observers were experienced, and Samuel et al.
(1987)

reported that differences between experienced

observers were correlated with vegetation cover and group
size.

Similarly, I found that observer differences (all

experienced) did not appear to influence moose
sightability after percent vegetation cover was entered in
the model.

Fifty-two percent of my observations were made

while 2 of the 8 primary -observers were present, however,
likely reducing the chance of finding an influence of
observers on moose sightability (Table 1).

My intent in

the design of model development was to represent the
variability among experienced observers expected during
normal surveys rather than collecting statistically
adeguate samples from a few observers to examine
differences.

The model error component of the variance

estimates from this model should account for the variation

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�53
expected among experienced observers.

Additional trials

may be necessary, however, to adequately determine if
differences among experienced observers significantly
influence moose sightability.
We saw 59% of the 104 groups containing radiocollared
moose over a range of habitat types and vegetative cover
densities.

This detection rate is similar to rates

reported by LeResche and Rausch (1974; 43-68%), Thompson
(1979; 57%), and Rolley and Keith (1980; 64%) but lower
than those reported by Crete et al.
Peterson and Page (1993; 78%).

(1986; 73%), and

Although comparisons may

be tenuous because of differences in aircraft type, number
of observers, search intensity, and moose habitat use
patterns among studies, the detection rate during my study
does appear low considering the high level of search
intensity (x = 4.7 min/km2, SD = 1.2 min/km2) and that 3
persons were present in the helicopter.

I conducted

surveys from February-April when moose are generally most
difficult to detect due to shifts in habitat use patterns
(Lynch 1975, Karns 1982, Crete et al. 1986, Gassaway et
al. 1986).

I observed declining moose numbers on riparian

areas during early February, and 56% of radiocollared
moose surveyed were in conifer habitat (Table 1).
winter surveys were applied intentionally to best
represent the range of variables expected during

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Late

�54
application since sighting probabilities are estimated on
a group by group basis.

Also, more information is gained

on moose sightability under difficult rather than simple
conditions (e.g., moose in heavy conifer vs. open willow).
My detection rate may be lower than would be experienced
earlier in the winter when moose in western Wyoming tend
to occupy more open habitats.
Snow cover, although not included in this model,

is

generally believed to greatly influence moose sightability
(LeResche and Rausch 1974, Novak 1981, Gassaway et al.
1986, Bisset and Rempel 1991).

I observed a confounding

influence between percent snow cover and percent
vegetative cover in my data set as most moose encountered
in areas of sparse snow cover were also in open habitat
types where late winter snow melt had occurred.

I believe

absence of percent snow cover in the model, however,
primarily reflects the limited range of snow cover
measured during my study; 90% of moose observations were
in areas &gt;65% snow cover (Table 1).

Samuel et al.

(1987)

developed their elk model on a limited range of snow cover
and found percent snow cover not to be important in
estimating aerial elk sightability.

Later, however, when

Leptich and Zager (1991) evaluated this elk sightability
model during variable snow conditions they found percent
snow cover an important predictor of elk sightability.

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I

�55
suspect that snow cover may impact moose sightability more
than this model indicates.

Until the influence of snow

cover on moose sightability is understood, application of
this model should be restricted to times when snow cover
&gt;65%.
Survey design reduced my ability to investigate the
relationship between distance and the probability of
detecting moose.

Transects were intentionally flown close

to one another to minimize the potential influence of
distance.

Thus, while perpendicular distance did not

appear to influence moose sightability during my study
(Table 1), it should not be concluded that distance will
not play a part in sightability of moose.

While it is

tempting to increase flight transect widths to reduce
flight time, more work needs to be done to determine at
what distance, if any, distance will begin to influence
moose sightability.
Distance measurements were obtained for 86 of the 104
sightability observations used in analysis.

These missing

data should not have inhibited my ability to detect an
influence of distance on moose sightability because the
proportion of moose seen for the full data set (59%) and
the reduced data set (58%) were similar.

Sixty-seven of

the 86 distance measurements were obtained from
differentially corrected 3-dimensional GPS positions,

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�which should have provided reliable results since position
accuracy is expected to be within 5 m (Trimble Navigation,
Ltd., 1992:17-19).

The remaining 19 distance measurements

were from differentially corrected 2-dimensional GPS
positions.

If the elevations associated with 2-

dimensional positions were incorrect, the corresponding
UTM coordinates may have been inaccurate.

Elevations were

adjusted to minimize this potential bias.

In some cases,

however, I could not determine exact elevations from
topographic maps because of variable topography.

The true

elevation may not have been important when both the
transect path and moose location were 2 dimensional,
however, since they were typically collected from similar
altitudes.

Although these positions may differ from their

true coordinates, the relative distance between them
should not have changed.

Potential error was greatest

when distance measurements were taken between 2dimensional and 3-dimensional positions.

I attempted to

reduce this potential error by combining distance
measurements into 25-m categories.
A high proportion of groups near the flight line were
apparently missed during sightability surveys (Table 1).
This suggests line transect surveys (Buckland et al. 1993)
to estimate moose abundance in Wyoming would be biased
because the primary assumption, that all animals on the

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�line are seen, is likely violated.

Line transect sampling

may provide valid population estimates, however, if
correction factors for animals missed on the line are
developed.

The logistic regression estimator may provide

a means of correcting for animals missed on the line since
correction factors are applied to each group.

If

confidence intervals are wide from surveys with narrow
transect spacing, however, combining these methodologies
and applying wider transect spacing may not be beneficial
since estimating an additional correction factor (i.e.,
distance) would result in an additional source of
variation and increase confidence interval widths.
Although sex/age groupings did not influence aerial
moose sightability, bull groups did selected higher
vegetative cover densities than cow and cow/calf groups.
If homogeneous sightability is assumed across sex/age
groups, bull numbers will be underestimated during
composition surveys under these conditions.

This

sightability model accounts for different habitat
selection by sex/age groups and should provide reliable
sex and age composition data for moose, however.
Comparison to Other Sightability Model Research.

The

degree to which percent vegetation cover drives this
sightability model is not surprising given the importance
of habitat factors identified in other moose sightability

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�studies (LeResche and Rausch 1974, Thompson 1979, Gassaway
et al. 1985, Gassaway et al. 1986, Becker and Reed 1990,
Bisset and Rempel 1991).

Previous moose studies that have

addressed detection, however, have not quantified this
relationship, making comparisons difficult.

Sightability

research addressing vegetative cover has been conducted
for elk (Samuel et al. 1987, Otten et al. 1993) and mule
deer (Ackerman 1988) .
al.

Samuel et al.

(1987) and Otten et

(1993) reported that percent vegetation cover had a

strong influence on elk sightability during logistic
regression model development in Idaho and Michigan,
respectively.

Samuel et al.

(1987) also found a strong

relationship with group size and sightability which is not
surprising based on the propensity of elk to occur in
groups.

Ackerman (1988), however, reported that mule deer

sightability was influenced by cover type, group size, and
animal activity level, and not percent vegetative cover
during logistic regression model development in Idaho.

He

also reported that the lack of influence of vegetative
cover may have been due to the manner in which cover was
measured (vertically rather than obliquely through the
canopy).

Because moose encountered during my surveys were

consistently seen and missed at oblique angles, and this
will likely be the case during surveys,

percent

vegetative cover should be measured obliquely.

Ackerman

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�59
(1988)

also reported that mule deer sightability was most

affected by animal activity level and that this was
largely due to the response of mule deer to the
approaching helicopter.

Moose rarely reacted to the

helicopter during this study and usually only when they
were circled during classification.
Model Precision.

The population estimate for moose

sampled from the dense canopy scenario created from my
data set was 2.3 times the number of moose encountered (N
= 423, n = 181); 90% Cl represented 25% of the estimate.
The corrected population estimate for moose sampled from
the population in more open habitat was only 1.9 times the
number seen (N = 342, n = 181); 90% Cl represented 18% of
the estimate.

Estimator precision was greatly reduced

when moose occurred in dense cover types and were less
visible.

Population estimates were similar when sampling

intensity was reduced, however, the relative variance
increased to 29% and 21% of the estimate for moose in
dense and open canopy habitats, respectively.

This

suggests that sampling intensity will have a greater
influence on the variability of moose population estimates
when surveys are conducted in areas with more dense canopy
cover.
The relative contribution of each of the 3 variance
components to the overall variance of the population

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�60
estimate also changed considerably when moose were sampled
in areas of different vegetative cover densities.
Sampling error was the dominant contributor to the
variance estimates regardless of average overstory canopy
density.

However, when maximum cover increased to 70%,

sightability error increased from 22% to 35%, model error
increased from 1% to 6%, and sampling error was reduced
from 77% to 59% of the total variance.

Trends in the

contribution of the variance components were similar when
sampling effort was reduced except that the relative
influence of sampling variance was greater for both
scenarios.

While it is possible to reduce or even

eliminate sampling error by increasing sampling effort,
sightability error can only be reduced by sampling moose
when they are predominantly using open habitat types and
thus, correction factors are low.
Survey conditions encountered during model
development likely represent a worst case scenario since
surveys were conducted during late winter when moose
predominantly used closed canopy vegetation types and
sighting conditions were difficult.

Application of this

model during early winter when moose were more often found
in open habitats should result in more precise population
estimates.

If this model is applied to moose using areas

with greater vegetative cover densities than we

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�61
encountered (&gt;70%), estimates should be expected to be
less precise and perhaps have limited usefulness for
management.

A carefully thought out sampling design,

which includes timing surveys when moose are using open
habitat,

is important to achieve the most precise

population estimates.
Management Summary.

After percent vegetative cover

was entered in the model, there were no important effects
from the 3 study areas though habitat types and topography
varied substantially.

Therefore, this model should be

suitable throughout Wyoming moose range and possibly over
much of the species' range.

Sampling protocols

established during model development should be rigorously
followed during application.

Primary observers should be

experienced in aerial moose surveys, and survey time
should be limited to 4 hours/day for each observer to
maintain a high search intensity.

Estimating percent

vegetative cover will require some training; observers,
however, tend to derive similar estimates after only 1 or
2 days of estimating cover.

Surveys should be flown using

the types of helicopters used to develop this model,
preferably Hiller-Soloy or 12E helicopters since 94% of
the observations were collected with them.

Snow cover

should be &gt;65%, and transect widths should be maintained
at 150-250 m.

Following fresh tracks during surveys can

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�62
result in incomplete or excessive coverage of a search
unit.

Therefore, only 1 or 2 short passes should be made

when tracks are seen.

As moose shift from more dense to

more open canopy habitats, confidence in estimating moose
population parameters increases, resulting in narrower
confidence intervals.

Consequently, surveys should be

done when moose are most likely to occupy open habitats
(e.g., early winter) thus providing the most precise
estimates.
This model should be applied cautiously if
characteristics of the area (e.g., vegetation cover &gt;70%)
or behaviors of moose (e.g., larger groups, flight
response to helicopters) appear to differ substantially
from the range of these variables under which the model
was developed (Table 1).

Sightability observations from

radiocollared moose can be continually added to this model
to account for these differences or other deficiencies
should they exist.

With the addition of observations to

the model it should become more robust to a variety survey
conditions.

Applying this model to a moose population of

known size could help identify potential short-comings.
Moose population data obtained from application of
this sightability model with the sampling protocols
applied during model development should prove more
reliable than trend data.

Although trend data are not

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�63
accompanied by estimates of variance, variability
associated with trend data is at least as great and likely
greater than variance associated with sightability survey
results obtained using this model.

Obtaining moose

population data with estimates of variance will allow
stronger inferences on year to year population changes.
Moose sightability model estimates should be more robust
to variable survey conditions than trend counts and
population composition data should be more reliable
because differential habitat selection by sex and age
groups is accounted for.

Applying a random sampling

strategy (e.g., stratified random sample of search units)
will ultimately improve information on moose distribution
as well.

Sightability survey costs, however, will likely

be greater than those of traditional trend surveys because
areas must be sampled intensively.

Any increase in cost,

however, should be offset by the enhanced value of having
more defendable moose management programs.

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�64
LITERATURE CITED
Ackerman, B. R.

1988.

Visibility bias of mule deer

aerial census procedures in southeast Idaho.

Ph.D.

Diss. Univ. Idaho, 105 pp.
Bartman, R. M . , G. C. White, L. H. Carpenter, and R. A.
Garrott.

1987.

Aerial mark-recapture estimates of

confined mule deer in pinyon-juniper woodland.

J.

Wildl. Manage. 51:41-46.
Becker, E. F . , and D. J. Reed.
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Bisset, A. R . , and R. S. Rempel.

1990.

A modification of a

Alces 26:73-79.
1991.

Linear analysis

of factors affecting the accuracy of moose aerial
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Alces 27:127-139.

Buckland, S. T . , D. R. Anderson, K. P. Burnham, and J. L.
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1993.

Distance sampling: estimating

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Chapman &amp; Hall,

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Burnham, K. P., and D. R. Anderson.

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distance data in transect counts*

The need for

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�65
_____ , R. Sinclair, and D. Scott-Kemmis.
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�70
APPENDIX A.

Aerial survey data form used during

helicopter sightability trials of moose in western Wyoming
during winter, 1993.

Date

Page

of

Lat. Long. Location:_

o

______

o

Pilot_ _ _ _ _ _ 1 observer_ _ _ _ _ _ 2 observer_ _ _ _ _ _
(m ark observer that 1 st spots m oose)

Search Time: start
group
#

Stop_ _ _

freq / # of Bulls # o f Cows
Unk. group %
cover
Perp. Tim e S een
%
Activity
Light Terrain
during/
collar
adults
adults
Calves
size
cover
yrlg.
sex/age
type
Obs.
y
ig
Dist.
S
n
ow
#
after?

1

2

3

4

5

ACTIVITY: 1 = B EDD ED , 2 = S T A N D IN G , 3 = M 0 V IN G

LIGHT: 0 = FLAT, 1 = BRIGHT

TERRAIN: 1 = F L A T ( &lt; 20° slope), 2 = M 0 D E R A T E (20° to 50° slope), 3 = S T E E P ( &gt; 50°)
C O V ER TYPE: 1 = W IL L O W RIPARIAN, 2= S A G E B R U S H SHRUBLANDS, 3 = O P E N FORB/G RASS M E D O W S,
4 = M T N . SHRUBLANDS, 5 = C O N IF E R , 6 = A S P E N , 7=A S P E N /C O N IF E R MIX, 8 = C O T T O N W O O D ,
9 = B U R N E D FOREST, 10 = C L E A R CUT, 1 1 = O T H E R (specify).
CO M M EN TS:

Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.

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            <elementText elementTextId="1062">
              <text>1994</text>
            </elementText>
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        <element elementId="49">
          <name>Subject</name>
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              <text>Moose</text>
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              <text>Mammal populations</text>
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              <text>Aerial surveys are the only practical way to estimate ungulate numbers in most of North America (LeResche and Rausch 1974, Timmerman 1974, Gassaway and Dubois 1987). These surveys, however, often provide biased estimates and only under specific conditions do they allow detection of even large population changes (Caughley 1974, Gassaway et al. 1985). Ideally, aerial survey estimators should be accurate, precise, cost effective (Gassaway et al. 1986), and repeatable to provide timely management decisions.</text>
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              <text>Anderson, C. R. Jr. 1994. A sightability model for moose developed from helicopter surveys in western Wyoming. Thesis, University of Wyoming, Laramie, USA.</text>
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