Northern bog lemmings:
survey^ population parameters^
and population analysis
A Report to:
USDA Forest Service
Kootenai National Forest
506 U.S. Highway 2 West
Libby,MT 59923
Submitted by:
James D. Reichel
and
Janelle G. Corn
April 1997
Montana Natural Heritage Program
1515 E. Sixth Avenue
P.O. Box 201800
Helena, MT 59620-1800
© 1997 MontanaNatural Heritage Program
This document should be cited as follows:
Reichel, J. D. and J. G. Com. 1 997. Northern bog lemmings: survey, population parameters,
and population analysis. Unpublished report to the Kootenai National Forest. MontanaNatural
Heritage Program. Helena, MT. 27 pp.
ABSTRACT
Northern bog lemmings {Synaptomys borealis) were discovered in 1 992-3 in single patches within the
Cody Creek and South Fork Hawkins Creek drainages. During the 1 994 field season we surveyed
these two drainages to determine the number, size and location of other suitable habitat patches. No
suitable habitat patches larger than about 50 m^ were located. The total number of known bog lemming
sites in Montana is 1 8, the most sites in any of the lower 48 states. Known sites in Montana range in
size from 1 to approximately 340 acres. The best habitat predictor for potential northern bog lemmings
sites in Montana is the presence of large, thick moss mats, particularly sphagnum moss.
ACKNOWLEDGMENTS
We would like to thank Bob Summerfield and Seth Diamond for their help throughout the study. D. E.
Pearson provided access to his invaluable unpublished information. S. W. Chadde, S. V. Cooper, J. C.
Elliott, and B. L. Heidel identified plants and plant communities. Help with field work and other
logistical support was provided by G. Altman, J. Berry, A. Bratkovich, and other Forest Service
personnel. M. Beer, D. Dover, C. Jones, and K. Jurist helped with database applications and mapping
in the preparation of the report. L. S. Mills and J. Caratti provided helpful criticism of earlier versions of
a P VA model. Financial support for the proj ect came from the Kootenai National Forest (U. S . Forest
Service) and the Montana Natural Heritage Program (Montana State Library).
TABLE OF CONTENTS
ABSTRACT iii
ACKNOWLEDGMENTS iii
INTRODUCTION 1
METHODS AND MATERIALS 3
RESULTS 6
DISCUSSION 12
STATEWTOE MANAGEMENT RECOMMENDATIONS AND RESEARCH NEEDS 18
LITERATURE CITED 20
APPENDIX I. NORTHERN BOG LEMMING PVA MODEL DESIGN PARAMETERS 23
APPENDIX IL MUSEUMS CONTACTED AND RESULTS 27
LIST OF TABLES AND FIGURES
Table 1 . Timing of reproduction in northern bog lemmings, as estimated from museum
specimens 8
Table 2. Table 2. PVA results for the northern bog lemming on Sunday Creek 11
Table 3. Plant communities present at 6 northern bog lemming sites 13
Table 4. Characteristics of known bog lemming sites, plus several additional sites in the Sunday
Creek complex, in Montana 14
Figure 1 . Map of Northern Bog Lemming locations in Montana 2
Figure 2. Sunday Creek bog lemming complex showing potential and known habitat
patches 5
Figure 3 . Distributions of time to quasi-extinction (<1 00 individuals) over 50 years
(1 00 simulations) in the Sunday Creek metapopulation of northem bog lemmings 10
INTRODUCTION
The northern bog lemming (Synaptomys borealis), a small, grayish brown, vole-like microtine,
is related to the true arctic lemmings (Lemmus). Nine poorly differentiated subspecies are currently
recognized (Hall 1981). The northern bog lemming has a total length of 1 1 8- 1 40 mm including its very
shorttail (19-27 mm) (Banfield 1974,Hall 1981). The combination ofa tail less than 28 mm long and a
longitudinal groove in the upper incisors distinguish the northern bog lemming from all other mice found
in Montana.
The northem bog lemming is boreal in distribution, occurring in North America from near
treeline in the north, south to Washington, Idaho, Montana, Minnesota, and New England. It typically
inhabits sphagnum bogs and fens, but is also occasionally found in other habitats including mossy forests,
wet sub-alpine meadows, and alpine tundra. One subspecies (S. b. artemisiae) lives on sagebrush
hillsides in eastem British Columbia (Anderson 1 932). The northem bog lemming is rarely trapped and
is one of the least known mice in North America. It is listed as a Species of Special Concern by the
Idaho, Minnesota, Montana, and New Hampshire Natural Heritage Programs, and on the Special
Animal Priority List of the Washington Natural Heritage Program. The subspecies Synaptomys
borealis artemisiae is listed as a Species of Special Concern by the British Columbia Conservation
Data Centre.
A few relict populations occur in the lower 48 states; the subspecies chapmani occurs in
Montana, Idaho, and northeast Washington (Hall 1981). Bog lemmings are known from 4 locations in
Idaho and 8 in Washington, all from within 80 km of the Canadian border (Johnson and Cheney 1 953,
Wilson et al. 1980, Reichel 1984, Groves and Yensen 1989, D. Johnson pers. comm.). Prior to 1992,
evidence of bog lemmings in Montana included: 1)6 locations on the west side of Glacier National Park
(Wright 1 950, Weckwerth and Hawley 1 962, Hoffmann et al. 1 969, Pearson 1 99 1 ); 2) Shoofly
Meadows in the Rattlesnake drainage north of Missoula (Adelman 1 979), and 3) a single skull
recovered from a Boreal Owl (Aegoliusfunereus) pellet west of Wisdom (J. Jones pers. comm.);
where the owl captured the lemming was unknown. In 1 992 and 1 993, 5 1 sites were trapped which
located 1 new populations of northem bog lemmings (Figure 1 ) (Reichel and Beckstrom 1 993 , 1 994).
The Maybee Meadows site is the southem-most known population of the species outside of New
England and one of two Montana populations known from east of the Continental Divide. All 1 sites
found in 1 992- 1 993 were associated with thick mats of moss. Their disjunct distribution and rarity may
be due to : 1 ) the localized nature of their primary habitat; and 2) their currently patchy distribution from
more widely distributed populations during the Pleistocene (a glacial relict).
Species like the northem bog lemming — ^rare, patchily distributed, confined to rare habitats —
are at particular risk of extinction (Shaffer 1981). Population viability analysis (PVA) is one means of
assessing apopulations=3 risk of extinction quantitatively. PVA models that incorporate demographic
and environmental stochasticity (uncertainty) in population trend are particularly powerful analytical
tools, and are available in user-friendly computer programs. Stochastic PVAs require extensive
background information on the population=3s demographic characteristics (fecundity and survival
rates).
Unfortunately, little is known about northem bog lemming life history and demography. A few
notes in the literature indicate litter sizes vary from 3-8, with 2 (or possibly more) litters
Figure 1 . Northern Bog Lemming occurrences in Montana. Locations are from Wright (1 950),
Weckwerth and Hawley (1962), Adelman (1979), Pearson (1991), Reichel and Beckstrom (1993),
and this report.
^ Sites discovered in 1993
I I Known sites pre 1993, typical habitat
(^ Known sites pre 1993 , atypical habitat
^^L National Forest
10 20 Miles
per year. It has been suggested that some individuals breed the same year they are bom (perhaps 60-
90 days old). Most reproduction information is scattered throughout a literature that deals mainly with
distribution.
More is known about the northern bog lemming=5s congener, the southern bog lemming (S.
cooperi). Southern bog lemmings are distributed in eastern and central North America, from
southeastern Canada west to Minnesota, and south as far as Kansas and North Carolina. They inhabit a
wide variety of habitats, but, like northern bog lemmings, tend to be associated with sphagnum bogs in
eastern forests (Linzey 1 983). Population densities also vary widely, from 4 - 5 1/ha (Linzey 1 983).
Detailed population studies conducted for southern bog lemmings in Kansas (Gaines et al. 1 977, 1 979),
Illinois (Beasley and Getz 1 986), and Virginia (Linzey 1 983) indicate that breeding occurs all year in the
southern part of its range, but ceases in winter in the northern part of its range. We used these data to
estimate population densities and demographic parameters in a P VA for the northern bog lemming. The
lack of species-specific data makes the model necessarily preliminary, but nonetheless it can be used to
suggest what additional biological information is essential to develop a sound bog lemming management
plan.
Amulti-year study of northern bog lemmings in Montana was begun in 1 992. Objectives during
1994 included:
1) Determine the extent of the suitable habitat in the Cody Creek and Hawkins Creek drainages.
2) Review the available information on northern bog lemmings and closely related voles to develop a
model of population viability; we will discuss which parameters are weakest and what additional
data are necessary to strengthen our confidence in the model.
3) Determine what additional biological information is most critical for development of a bog lemming
management plan.
This report also contains a summary of habitat characteristics at bog lemming capture locations in
Montana.
METHODS AND MATERIALS
Surveys
We visited Cody Creek and Hawkins Creek drainages in western Montana, examining riparian
habitats to determine their suitability for northern bog lemmings. We walked much of both drainages
within three miles of the known bog lemming areas, and used aerial photos and USGS 7 V2 -minute
topographic maps to find locations of potential bog lemming habitat. All areas within the drainages
which looked potentially suitable were examined.
PVA Model Development
We evaluated documentation for several of the PVA computer programs most widely available
for use on a PC, and chose RAMAS/GIS (Applied Biomathematics, Setauket, NY) for the analysis.
This program uses an age- or stage-based population growth matrix, includes stochastic variation in
population change, and accommodates metapopulation dynamics, with movement of individuals
between habitat patches, or populations (Akcakaya 1993).
Appendix I defines parameters in the population growth matrix. To estimate values for the
matrix parameters, we used information from northern bog lemming museum records, and data from
demographic studies of southern bog lemmings. We obtained museum data by contacting all museums
with medium to large mammal collections in the U.S. and Canada. They were asked to provide data on
all northern bog lemmings in their collections including catalog number, date, sex, weight, location, and
collector. Additionally they were asked to provide any data on specimens which had reproductive
information associated with them; for females: embryos, placental scars, perforate/imperforate vagina,
lactation; for males: testis or seminal vesicle size, scrotal/inguinal testes. We estimated the timing and
duration of the breeding season, and the proportion of females breeding by summarizing museum data to
determine the total number of females collected per month, and the number and percentage of pregnant
females each month. For each breeding interval, we estimated litter size from embryo counts, with
separate estimates for subadults and adults. Age class was determined from museum records, or was
based on body mass, a reliable indicator of age in the southern bog lemming (Gaines et al. 1 997). We
estimated survival rates of subadults and adults from demographic studies of southern bog lemmings
(Beasley and Getz 1 986, Gaines et al. 1 977). We used these parameter estimates in a stage-structured
population projection with 3 stages (subadults, adults breeding for the first time, and adults breeding for
the second time), with a pre-birth pulse and 2 litters per year (Appendix I). The projection interval (i.e.
the time step for calculating survival) is 3 months, the average interbirth interval.
We chose the complex of 25 habitat patches on Sunday Creek, of known or potential use by
northern bog lemmings, as the basis for the PVA (Figure 2), with each >5patch=3 defined as a
population, and the entire complex in the Sunday Creek drainage defined as the metapopulation. For the
preliminary metapopulation analysis reported here, we assumed that all patches were of equal habitat
quality (i.e. population density did not vary between patches), with population sizes varying only
according to patch size. Thus, even though the small bog habitats (>5good-excellent habitat=5 patches
in Figure 2) are thought to be the primary habitat for northern bog lemmings, their importance relative to
lower quality, but typically larger, habitat patches is not quantified in the PVA, because data for that type
of simulation are not available. The implications of the assumption of equal habitat quality will be
discussed in later sections of this report.
The initial population size of each population of bog lemmings in Sunday Creek was determined
by the areal extent of each habitat patch (from MNHP records) and density estimates for southern bog
lemmings. We estimated initial population density as 12 lemmings/ha, the density of southem bog
lemmings at the margin of their range in forested habitats of northeastern US, comparable conditions to
northern bog lemmings in MT. The initial population stage structure was assumed to be a stable age
distribution, and was calculated by the program. We simulated population growth as an exponential
growth function to a ceiling (K, carrying capacity; Appendix I). K was calculated from the maximum
densities reported for southem bog lemmings (5 1/ha; Gaines et al. 1 977, 1 979).
Stochastic variation in population growth rate was estimated using the standard errors of
estimates of average litter size, proportion of females breeding, and survival obtained from museum
records or the literature. We assumed that environmental stochasticity is completely correlated across
populations, because the Sunday Creek drainage is an area of limited extent likely experiencing similar
environmental conditions across populations.
Figure 2. Sunday Creek bog lemming complex showing potential and known habitat patches.
Good - Excellent Habitat
I I Fair - Poor Habitat
Unkown Habitat
^ Bog Lemming Capture Site
Movements of animals between populations were assumed to be constant across age classes at
0. 1 0. Dispersal rates were distance-dependent, as defined by a distance fiinction in the RAMAS/GIS
program (Akcakaya, 1 993). Distances between populations were calculated fi-om the center of each
population by the program, using UTM coordinates of each population. The program calculates
dispersal of survivors, so each estimate of survival rate was increased by the dispersal rate to allow for
dispersal loss from populations. We assumed all age classes were equally likely to disperse, and initially
set the average dispersal distance at 1 00 m and the maximum dispersal distance at 500 m.
PVAModel Output
Simulations were initially run for short intervals (10 years with 50 replicates) to determine
whether population parameters were reasonable; the long-term projection was 50 years with 1 000
replicates per simulation. RAMAS/GIS reports a variety of simulation results (Akcakaya 1 993); we
report (1) final metapopulation occupancy (average [S.D.] number of extant populations [occupied
patches] ; (2) quasi-extinction risk (probability [95 % CI] that the metapopulation will fall below 1 00
individuals at the end of the simulation) (3) time to quasi-extinction (median time of quasi-extinction,
distribution of extinction times, and cumulative extinction probability).
PVAModel Modifications
The basic simulation described above was modified to test the effects of dispersal distance and
life-history variables on the outcome of the PVA. Average dispersal distance was increased from 1 00 m
to 500 m, and maximum dispersal distance from 500 m to 5 km. Additionally, the original values for
adult fecundity or survival probability were increased by 0. 1 and subsequently decreased by 0. 1 and
PVA outcomes compared to test the effects of their variation on PVA outcomes life-history variables
most sensitive to change. Differences between simulations in quasi-extinction risk were tested using the
Kolmogorov-Smimovtest statistic (Akcakaya 1993).
RESULTS
Surveys
One of us (J. Reichel) visited the Hawkins Creek drainage on 1 1 September 1 994, and the
Cody Lakes area 8 September 1 994. Both areas appeared to be of low potential for northern bog
lemming habitat. No suitable habitat patches larger than about 50 m^ were located. This extent is
substantially smaller than the smallest habitat patches used by bog lemmings in Montana (1 ac. or
approximately 4,046 m^). The sites examined were not trapped in 1 994, however.
PVAModel
We contacted 39 museums for information pertaining to northem bog lemmings in their
collections (Appendix II). Twenty-three museums sent us data on a total of 484 animals from 1 6
provinces and states. Specimens from Alaska (139) and Manitoba (94) dominated the collection;
specimens from Alberta (42), British Columbia (37), Quebec (64), and the Yukon (47) were also well
represented in collections. The remaining 1 states and provinces were the source of fewer than 20
lemmings each, 8 of those states or provinces were the source of fewer than 10 specimens.
The distribution of reproductive activity from museum specimens suggests a 6 month breeding
season with 2 litters per year, April - June, and July - September (Table 1 ). The earliest date any
museum specimen was captured which had embryos was 27 April and the latest date was 1 October.
However, one female weighed only 1 1 .8 g on 3 1 March, which indicates that at least some breeding
takes place over the winter.
In the museum specimen sample, breeding prevalence was lower and litter sizes were smaller on
average for subadults than adults, and litter sizes for adults was smaller for the second litter than the first
litter of the year. For subadults, the proportion of females breeding in the first litter of the year was 0.57
(4 of 7), and litter size averaged 3.5 (SE = 0.5, N = 4); in the second litter of the year, the proportion of
females breeding was 0.125 (5 of 40), and litter size averaged 3.25 (SE = 0.829, N = 5). For adults,
the proportion of females breeding in the first litter of the year was 0.75 (18 of 24), and litter size
averaged 4.28 (SE = 1 .63, N = 1 8); in the second litter, proportion of females breeding was 0.4848
(32 of 66), and litter size averaged 3 .9 (SE = 1 . 1 , N = 32).
Beasley and Getz (1 986) found that individual survival probability from birth to adult age in the
southern bog lemming was 0.068 1 (SE = 0.0575). Correcting the survival rate for dispersal (increasing
the estimated survival rate by 0. 1 ) increased the survival rate to adult age to 0. 1 68 1 . We assumed that
survival from birth to adult is constant over the interval birth to subadult and subadult to adult, and
estimated the rates of survival of each of these two intervals as (0.1681)^^^, or 0.4100.
Southern bog lemmings have an average adult 2-week survival rate of 0.7067 (SE = 0.499) in
summer, and 0.7683 (SE = 0.060 1 ) in winter (Gaines et al. 1 977). Survival over the prediction interval
(3 months), is the 2-week survival rate multiplied 6 times, or 0.7067^ (=0. 1245) in summer, and
0.7683^ (=0.2057) in winter. Dispersing adults were taken into account by adding 0. 1 to summer and
winter adult survival rates, increasing them to 0.2245 and 0.3057, respectively. These estimates of life
history parameters were used to calculate variables used in the in the Leslie matrix (see Appendix I for
details). The resulting Leslie matrix is:
0.492 1.3161 0.7752
0.4100 0.3166
Demographic and environmental stochasticity was modeled from the standard errors of the
estimates for survival, litter size, and proportion of females breeding used in the population
matrix (see Appendix II). The Leslie matrix for stochasticity is:
0.1659 0.3910 0.2639
0.2399 0.0419
Table 1 . Timing of reproduction in northern bog lemmings, as estimated from museum specimens.
Month
January
number of female
specimens
number with
embryos noted
percent with embryos
February
March
April
2
1
50
May
12
9
75
June
25
12
48
July
38
15
39
August
72
17
24
September
26
3
11
October
3
1
33
November
December
Total
178
58
33
PVAModel Output
The stable age distribution for northern bog lemmings, calculated by RAMAS/GIS from the
Leslie matrix, was dominated by subadults (66 %), compared to 34 %older adults breeding for the first
or second time. A preponderance of subadults in the trappable population is observed in small mammals
during the breeding season (pers. obs.), suggesting that the Leslie matrix is a reasonable estimate for this
species. The finite rate of population increase (X [lambda]) predicted by this Leslie matrix is 1 .0755,
which indicates an increasing population (A>1). However, when stochasticity is introduced into the
population projection, population growth may not occur.
From the basic model, with average and maximum dispersal distances of 1 00 m and 500 m,
respectively, only 5.4 populations (N=1000 replications) remain occupied after 50 years. The
probability of quasi-extinction (<1 00 individuals) in the metapopulation is 0.257 at 50 years, and the
median time to quasi-extinction is 26.2 years (Figure 3, Table 2).
PVAmodel modifications
Table 2 summarizes the outcome of the population projection for the Sunday Creek
metapopulation under the various modeling scenarios. By increasing average distance moved from 1 00
m to 500 m, and maximum distance from 500 m to 5 km, probability of quasi-extinction increased and
median time to quasi-extinction decreased over 50 years relative to the simulation with shorter dispersal
distances (Table 2). However, the average number of occupied patches after 50 years was higher with
increased dispersal distance (9.2).
The results of manipulation of fecundity and survival rates indicates that the model is sensitive to
both variation in fecundity and survival rates, but variation in fecundity rates may affect population
projection more than to those of survival rates (Table 2). When adult fecundity rates were decreased
by 0. 1 0, the probability of quasi-extinction more than doubled, and median time to quasi-extinction
decreased by almost 1/2 half (Table 2); when fecundity was increased, quasi-extinction probability
decreased accordingly. In contrast, increasing or decreasing adult survival rates by 0. 1 had less
pronounced, but still highly significant, effects on quasi-extinction risk. All simulations resulted in
relatively high quasi-extinction probability (Akcakaya 1 993).
Figure 3 . Distribution of probability to quasi-extinction (<1 00 individuals) over 50 years (1 00 simula-
tions) in the Sunday Creek metapopulation of northern bog lemmings. Vertical bars indicate probability
of quasi-extinction during a given year; continuous solid line is cumulative quasi-extinction probability;
continuous dashed lines are 95% confidence intervals.
0.8
c
_o
o
X
LU
I
O
H —
o
05
O
Median time
to quasi-extinction
20 26.2 30
Number of Years
Table 2. PVAresults for the northern bog lemming on Sunday Creek. The basic simulation modeled
the population projection with average and maximum dispersal distances of 1 00 m and 500 m,
respectively. The details of the remaining modifications to the model are described in the text.
Difference test results are Kolmogorov-Smimov test statistic D and significance level ("^=0.05,
"^ "^=0.0 1 , * * *=0.00 1 ) for difference between the basic model and each model modification.
Simulation
Average number
(s.d.) of extant
populations after
50 years
Median time
(years) to quasi-
extinction
Extinction
probability
after 50 years
Difference test
D
signif.
Basic
5.4 ( 6.3)
26.2
0.257
-
-
Increase
dispersal
distance
9.2 (9.8)
22.1
0.331
0.08
**
Increase
fecundity
10%
8.6 (7 )
36.2
0.158
0.19
***
Decrease
fecundity
10%
2.6 (4.6 )
16.6
0.572
0.33
***
Increase
survival rate
10%
7.1 (7.2)
28.2
0.258
0.1
***
Decrease
survival rate
10%
3.7
19.5
0.459
0.2
***
11
DISCUSSION
Distribution .
While northern bog lemmings were not found in the surveyed areas, it is within their range in
Montana which includes the northwest comer of the state east to the Rocky Mountain Front, south
through the mountains to Lost Trail Pass on the Continental Divide (Figure 1 ). The Maybee
Meadows site is the southern-most site known for the species outside of New England; two sites in
New Hampshire are about 1 60 km farther south (Clough and Albright 1 987; Reichel and Beckstrom
1 993, 1 994). The Maybee Meadows and Wood Creek sites are the only known northern bog
lemming sites east of the Continental Divide in Montana. We expect additional populations will be
found across western Montana, perhaps as far south as Yellowstone National Park, and possibly
east to mountain ranges such as the Little Belt Mountains. The known elevation range for Montana
is from 1018 m (3340 ft.) (McDonald Creek, Pearson 1991) up to 1987 m (6520 ft.) (Maybee
Meadows, Reichel and Beckstrom 1993).
Detectability .
During 1 992- 1 993 lemmings were found at 1 of 1 7 sites that appeared to have suitable
lemming habitat. Either lemmings were at 7 of those sites and we failed to detect them, or we
sampled 7 sites with apparently good habitat which lacked lemmings. A combination of the two is a
possibility (Reichel and Beckstrom 1 993 , 1 994). The percentage of sites with good habitat which
had lemming captures was slightly higher than that of Pearson (1991) who found lemmings at 3 of 1 1
bog/fen sites trapped with Sherman live traps in 1 989-90.
Habitat Patches .
Bog lemmings have been found in at least nine community types (Table 3). However,
peatland communities constitute a very small proportion of the landscape in Montana and have not
been adequately classified (Bursik and Moseley 1 992). Whether new information on these fens will
result in newly defined community types which closely approximate habitat used by northem bog
lemmings remains to be seen. Extensive thick moss mats were present in all but one of the lemming
sites found during our previous surveys (Reichel and Beckstrom 1 993, 1 994), and were also present
at Numa Ridge Bog, McGee Meadows (Pearson 1991, P. Lesicapers. comm.) and Shoofly
Meadows (Pearson 1991, S. Chaddepers. comm.).
In 1 993 J. Reichel spent several hours along Camas Creek in the vicinity of the first lemming
population known from the state (Wright 1 950) and found only scattered clumps of moss.
Weckwerth and Hawley (1 962) did not adequately describe the two specific sites where they
captured bog lemmings, but they were visited by D. E. Pearson (pers. comm.) who found that they
were not located in fens or covered by thick moss mats. At these three sites trapping was conducted
multiple years, often twice each year (Camas Creek: 1 8 years [Hoffmann et al. 1 969] ; Anaconda #1 :
6 years spring and fall [Jonkel 1 959] ; Anaconda #6: 4 years spring and fall [Jonkel 1 959]). Despite
this intensive trapping, only 3 individuals have been taken in Camas Creek in 2 of 1 8 years, and 1
individual at each of the two Anaconda Creek sites. A similar situation exists with the McDonald
12
Table 3. Plant communities present at 6 northern bog lemming sites.
CommunitvWDhase
Sunday
Creek
Cody
Lakes
Bowen
Creek
Wood
Creek
Maybee
Meadows
Meadow
Creek
Abies lasiocarpia
WCalamagrotis canadensis
yes
Picea
WSalixgeyeriana-
Carex utriculata
yes
Salix drummondiana yes
Salix planifolia- Salix wolfii
WCarexaquatilis yes
Betulaglandulosa
WCarex utriculata yes
Betulaglandulosa-
Eleocharis pauciflora
WCarex lasiocarpa yes
Betulaglandulosa-
Carex lasiocarpa yes
Carex utriculata yes yes
(=C. rostrata)
Eleocharis pauciflora yes
13
Table 4. Characteristics of l<nown bog lemming sites,
plus several additional sites in the Sunday Creek
complex, in Montana.
Distance to nearest site
Elevation
Size^
Known
Potential
Site
Location
(meters)
(ha)
(km)
(km)
Hawkins Pond
T37NR33WS18
1890
2
602
?
Numa Ridge Bog
T36NR20WS21
1536
0.8-1.6
23
5
Anaconda Creek West
T34NR20WS27
1097
T
2.8
<6.9
Anaconda Creek East
T34NR20WS36
1097
T
2.8
<6.9
Camas Creek
T33NR19WS12
1158
T
11
<6.5
McGee Meadows
T33NR19WS27
1180
137.6
6.5
<3.2
McDonald Creek
T33NR18WS12
1043
T
8.9
4
Sunday Creek complex
T32-33N R25-26W
1286-1463
85
6.6
6.4
Site1
T33NR25WS25
1286
9
1
0.2
Sites
T32NR26WS13
1463
12.1
0.3
0.3
Sites
T32NR26WS12
1426
2
0.3
0.3
Paul Creek
T33NR25WS27
1353
24.7
1.7
1
*Site 2
T33NR25WS26
1289
2.4
0.5
0.5
*Site 3
T32NR25WS5
1311
18.2
2.6
0.6
*Site 4
T32NR25WS6
1359
6.5
2.3
0.5
Bowen Creek
T31NR26WS1
1451
9.3
6.6
0.2
lower Cody Lake
T29NR28WS6
1433
2.4
32
?
Wood Creek
T20NR10WS26
1704
0.8
90
<13
Shoofly Meadows
T14NR17WS4
1792
9.7
90
<14
Meadow Creek
T01NR18WS10
1804
0.4
19
<18
Maybee Meadows
T01SR17WS26
1987
3.2
19
1.8
* Sites in Sunday Creek complex with suitable habitat, but no bog lemmings trapped in
115-215 trap-nights per site
^ Size of habitat patch, or patches with less than 100 m separation between patches
2 nearest site at Cow Creek, Idaho
^ site lacks typical bog lemming habitat with deep moss; see text.
14
Creek site which is in old-growth western hemlock (Tsuga heterophylla) forest (Pearson 1 99 1 ); this
site has been trapped multiple times yielding only a single lemming (June 1 99 1 - September 1 993 ,
total 3600 trap-nights, D. E. Pearson, pers. comm.). Apparent high quality habitat patches exist
within 7 km of all four sites (Table 9, 1 in Pearson 1 99 1 ; P. Lesica, pers. comm.). It seems likely
that these sites are very marginal and/or that the individuals were found while dispersing from a
nearby high quality site.
Some habitat descriptions of 5. b. chapmani trapping sites in the northern Rocky Mountains have
sometimes included mention of sphagnum moss (Layser and Burke 1 973, Groves and Yensen 1 989)
while others have not (Wilson et al. 1 980). J. Reichel captured a single juvenile male lemming on a dry
alpine/subalpine ridge in northeast Washington (Wilson et al. 1 980).
Areas with extensive moss mats, particularly sphagnum, are the most likely sites in which to find
new bog lemming populations in Montana. Other habitats in Montana may either support lower densities
of bog lemmings; be used primarily by dispersing individuals; be used during specific seasonal, climatic,
or competitive situations; or be population sinks. Marginal habitats and areas may be important to
maintain population viability. The only certainty is that there is much to be learned about habitat use by
northem bog lemmings.
Patch size of known bog lemming sites in Montana varies from 0.4- 1 3 7.6 ha, with 7 of 1 3 being
less than 4 ha (Table 4). No patch sizes are known for 4 sites since they are not in typical habitat (see
preceding paragraph). Most sites found thus far in Montana appear to be patches within potentially
larger metapopulation patch complexes. These could include: a Sunday Creek complex with a Bowen
Creek complex; a Maybee Meadows complex possibly with the Meadow Creek patch; and a McGee
Meadows complex which may be part of a larger complex in Glacier National Park. However, several
small patches appear to be isolated. Numa Ridge Bog (0.8- 1 .6 ha) is 5 km from the nearest fen/bog
patch (Pearson 1 99 1 ). Shoofly Meadows is larger (9.7 ha) but may be 1 4 km from another suitable
patch. Wood Creek is certainly at the extreme, having only about 0.8 ha of moss mat habitat and being
1 3 km from the nearest known potential site. While there appear to be substantial amounts of marginal
habitat along Wood Creek which might support bog lemmings, much of the riparian habitat has been
heavily impacted by domestic livestock grazing.
PVAmodel.
The PVAmodel has helped us identify several aspects of northem bog lemming population biology
that are central to population persistence, and yet remain poorly known for this species. First, we
developed a PVAmodel without species specific life history data, a highly speculative exercise
(Akcakaya 1 993). Although we had some fecundity data on northem bog lemmings (from museum
specimens), we used demographic data from the southem bog lemming to estimate survival rates,
because no comparable data are available for the northem bog lemming. Unfortunately, the sensitivity
analysis showed that survival rate has as great an effect on the PVA projections as fecundity rate. Data
on survival rate for northem bog lemmings is critical if the model is to have any validity. Without it, a
PVAmodel such as the one developed here lacks sufficient validity to be used as a management tool.
15
Secondly, our PVA simulations suggest that movement is very important for the persistence of
northern bog lemmings in complexes of small habitat patches. When average and maximum movement
distances were increased, the number of habitat patches where lemmings persisted almost doubled,
although extinction rate increased as well. Long movements may occur, but their frequency is not
known.
Finally, the preliminary modeling effort reported here did not attempt to quantify habitat quality
using the Landscape Data subprogram in RAMAS/GIS, because effects of different habitat types on
density have not been quantified for the northern bog lemming. Our sense is, and the literature generally
supports the notion, that bogs support more bog lemmings than other habitats. The effects of different
habitat types on northern bog lemming densities is not known, but is central to the management of this
species.
The importance of representing habitat quality in PVA analysis is demonstrated by some
counterintuitive results in our simulation of a >5catastrophic event=5, the removal of the central
population >3Sunday 4' (Figure 2). Removing Sunday 4 from the metapopulation analysis did not
increase the likelihood of extinction, as we would expect based on the quality of the habitat.. Rather,
probability of extinction declined by 0. 1 0. Population density of Sunday 4 (actually 2 small patches) is
low, because population size in the simulation was based only on areal extent of patches. Sunday 4 was
prone to local extinction in almost every simulation. When the metapopulation does not include this
population, chance of quasi-extinction appears to be reduced accordingly. We know, however, that the
presumed high quality habitat of Sunday 4 and its central location in this linearly arranged chain of
patches, makes this patch of central importance to bog lemming metapopulation on Sunday Creek. The
relative importance of different habitat types should be examined for this species in order to quantify
habitat quality for incorporation into a PVA using the Landscape Data subprogram in RAMAS/GIS.
The program RAMAS/GIS could be a powerful tool for examining how different patches in a complex
such as Suday Creek affect metapopulation process if density could reflect habitat quality.
This leads to questions about what constitutes a viable population of northern bog lemmings.
Three (somewhat) alternative hypotheses could apply: 1 ) lemmings live in habitat patches which have
been isolated for thousands of years; 2) lemmings move substantial distances between patches
supplementing (or recolonizing) the sub-population within a patch and contributing genetic material; and
3) lemmings use habitats other than moss bogs/fens.
Alternative 1 . Populations within patches such as Wood Lake and Numa Ridge Bog would not
appear to have been able to survive given the small habitat patch size, if they are indeed totally isolated
and if lemmings do not use habitats other than moss mats. This leads us to think that this alternative is
not completely feasible.
Alternative 2. In several areas such as the Sunday Creek complex, the distribution and size of known
patches suggests movement between patches. The overall view that most patches in Montana are
relatively near other known, or potential, patches, gives support to this hypothesis. Arctic lemmings are
known to make spectacular movements during highs in the population cycle; this could also be true of
northem bog lemmings. Northern bog lemmings do undergo populations fluctuations at least in central
Canada (Edwards 1 963). However, population cycles in general appear to be less dramatic in: 1 )
more southerly areas, and 2) in areas with less contiguous habitat for the cycling species.
Alternative 3 . Lemmings have certainly been found in habitats other than bogs/fens in Montana and in
other areas of their range. In the Montana sites where the habitat is atypical, captures represent a rare
16
event. Multiple trapping periods prior to and/or following a capture have not resulted in regular
additional captures of lemmings. In Glacier National Park, general trapping for small mammals over
nearly 1 00 years in numerous habitats has resulted in captures of 5 lemmings at 4 sites (all atypical
habitats) (Wright 1 950, Hoffmann et al. 1 969, Weckwerth and Hawley 1 962, Pearson 1 99 1 ). In the
rest of Montana, only 1 site has been found during general small mammal trapping (Shoofly Meadows, a
typical habitat site) (Adelman 1 979). However, when trapping focused on bog/fen habitat, 1 2 new sites
were discovered since 1990 (Pearson 1991, Reichel and Beckstrom 1993, 1994). Many of these sites
have had multiple animals captured in a single night, supporting the premise that the fen\bog habitat is the
primary habitat for northern bog lemmings in Montana. The extent of lemming use of other habitats has
yet to be determined, but would appear to be low.
Probably all three alternatives have some element of reality. It seems likely that 1) some patch
complexes are isolated from others and have been for long periods of time; 2) some relatively long
distance movements may increase gene flow, supplement small populations, and allow for recolonization
of extirpated patches; and 3) while bog lemmings use a variety of habitats to a limited (and largely
unknown) extent, bog and fen habitats hold the densest populations of lemmings.
Research Methods.
How do we get the information on distribution, habitat use, and movement that we need to
manage this species? Distributional information, and to a lesser extent habitat use, has often been
gathered using snap-traps. Detailed habitat use and movement data for small mammals are most
commonly obtained using mark-recapture techniques with live traps. However, for northern bog
lemmings, live traps are of very limited usefulness. This is because Sherman live-trap use: 1) is labor
intensive throughout the trapping period; 2) has very low success with any bait tried; and 3) results in at
least some mortality (4 of 6 known captures) (Pearson 1 99 1 , Reichel and Beckstrom 1 993). Pitfalls,
used as live traps: 1 ) are labor intensive especially during placement; 2) cannot be used in the saturated
soil situations commonly encountered in bog lemming habitat; and 3) result in at least some mortality
during and between trapping periods. Given these drawbacks, it seems doubtful that live-trapping
methods, by themselves, will yield much information on habitat use, population parameters, movements,
or home range sizes. Incidental mortalities may be a significant factor over a study of sufficient duration
to yield good information. Additionally, live-trapping to locate populations will require at least 1 times
the effort and cost compared to snap-trapping, and still cause some mortality. Given the very low
Sherman live-trapping success, negative results for even 1 000 trap-nights per site would not provide
much confidence that lemmings are not present.
Dropping boards may provide one option, but we think differentiating northern bog lemming
droppings from other voles will be difficult. Jones and Bimey (1988) report that northern bog lemming
droppings are bright green while other vole droppings are brown or black. However, we found that at
least some bog lemmings had brown droppings. If color alone is used to differentiate the droppings, it
may lead to serious biases. Pearson (1991) was not confident of identification of droppings {Microtus
versus Synaptomys) in a test of the technique in Glacier National Park. He did speculate that it could
be possible using more sophisticated identification techniques.
17
Snap-trapping for bog lemmings was much more successful than live-trapping although only 3 females
were captured using this method (at all locations in Montana in 1 992 and 1 993). It appears to be the
method of choice for initial survey work to find new populations, both from an economic and time-
constraint view. Concerns have been expressed that snap-trapping is not a suitable technique to use on
a "sensitive species." This argument may have some validity from a public perception point of view, but
has little or no biological basis (Reichel and Beckstrom 1 993).
Very small radio-telemetry packages have recently been used to study other voles and this technique
seems to hold the most promise for studying Synaptomys. It would require relatively few individuals to
be captured, and recapture of those individuals would not be necessary. It would seem to be the
method of choice for examining activity patterns, habitat selection and use, home range size, and typical
movements by Synaptomys.
Long range movements, such as dispersal, are more difficult to determine using radio-telemetry. This
is due to 1 ) the relative rarity of such movements; and 2) time and equipment limitations for finding
animals moving far from their expected location. Indirect means of determining the amount of inter-
patch movement are available using biochemical analyses of various types to measure gene fiow. This
may be a viable approach to learning about inter-patch movements and gene fiow.
STATEWIDE MANAGEMENT RECOMMENDATIONS AND RESEARCH NEEDS
Based on limited observations at the sites where bog lemmings have been found, several interim
management recommendations can be made. We feel that these are the minimum necessary to maintain
viable bog lemming populations. Additional research is needed which may lead to other management
actions necessary for maintaining viable bog lemming populations.
1) Lacking surveys at specific sites, assume northern bog lemmings are present at sphagnum or other
fen/bog moss habitat patches in north Idaho and western Montana during land management
planning processes.
2) Do not harvest timber within 1 00 m of sphagnum or other fen/bog moss mats or associated riparian
areas which could provide corridors for inter-patch movements.
3) Minimize domestic livestock grazing in drainages with unsurveyed moss mats present. Range
conditions in riparian areas with moss mats should be maintained in good to excellent categories.
Stocking rates should be reduced to a point where rapid recovery occurs if either 1 ) current range
condition is fair or poor; or 2) livestock are impacting moss mats.
4) No management activities which could destroy moss mats should be undertaken. Examples could
include (but are not limited to): 1) road building in, or in some cases upslope from, bogs/fens; 2)
pothole blasting in bogs/fens; 3) trail construction across or adjacent to bogs/fens; 4) dam
construction upstream from bogs/fens, or downstream if fiooding of bogs/fens would occur; and 5)
snowmobile use in bogs/fens which could compact vegetation or collapse lemming runways or
nests.
18
Very little information is available on the northern bog lemming. Even the distribution in the U.S. is
poorly understood, and most populations have been found within the past 1 5 years. Habitat use by
northern bog lemmings has never been determined in any systematic way. Descriptions of occupied
habitat consist of anecdotal accounts of where each specimen was captured; only about 35 individuals
had been collected in the Pacific Northwest prior to 1 990. Reichel and Beckstrom (1 993, 1 994)
contain detailed vegetative descriptions for six lemming sites in Montana. Food habits and reproductive
information in the literature are also are limited to a very few anecdotal accounts. Analysis of food from
stomachs of bog lemmings captured at six sites in western Montana show mosses composed 29-92%
of the diet (by volume) with Sphagnum moss averaging <1%. Sedges (1-64%) and grasses (0-8%))
composed most of the rest of the diet (Reichel, unpubl. data). No information is available on such topics
as movements, population densities, longevity, or home range. Much additional research is required to
make intelligent land management decisions where northern bog lemmings are present. We recommend
the following as the highest priority needs:
1) Conduct additional surveys to better understand macro- and micro- distribution in Montana; on a
state-wide basis this should include surveys on the Dillon Resource Area, Headwaters Resource
Area, Helena National Forest, Deerlodge National Forest, Gallatin National Forest, Custer
National Forest, Lewis and Clark National Forest (Jefferson Division), and sites on the
Beaverhead National Forest south and east of Maybee Meadows.
2) Analyze all stomachs of bog lemmings collected to provide additional food habits information; this
should give some indication of potential habitat use.
3) Conduct plant community surveys at all known bog lemming locations. This should include
identification of dominant mosses present.
4) Gather information on the autecological requirements of the mosses found at bog lemming sites.
5) Carry out research on northern bog lemming habitat use. Given the extreme difficulty in capturing the
northern bog lemming, radio-telemetry is probably the only viable means to obtain satisfactory
answers as to how bog lemmings use habitat within their home ranges.
6) Carry out research on northern bog lemming movements to gather information on home ranges and
possibly dispersal. This information needs to be integrated with simultaneously collected habitat
use data. Again, we feel radio-telemetry is the only viable methodology available.
7) Carry out biochemical research on allelic diversity and gene flow between habitat patches. It is
possible that hair/skin from specimens already collected could be used for analysis. This should
be done utilizing information on patch size and isolation, across the range of the lemming in
Montana. Ideally, Montana information should be compared to information from a population in
Canada at a site with relatively continuous habitat over a large area.
19
LITERATURE CITED
Adelman, E. V. 1 979. A survey of the nongame mammals in the Upper Rattlesnake Creek drainage of
Western Montana. M.S. Thesis, University of MT, Missoula. 129 pp.
Akcakaya, H. R. 1 993 . RAMAS/GIS. Linking landscape data with population viability analysis.
Applied Biomathematics, Seauket, New York.
Anderson, R. M. 1932. Five new mammals from British Columbia. Natl. Mus. Can. Bull 70:99-107.
Banfield, A. W. F. 1 974. The mammals of Canada. University of Toronto Press, Toronto.
Beasley, L. E. and L. L. Getz. 1986. Comparison of demography of sympatric populations of Microtus
ochrogaster and Synaptomys cooperi. Acta Theriologica 3 1 :3 85-400.
Bursik, R. and R. K. Moseley. 1 992. Prospectus: Valley peatland ecosystem project, Idaho. Idaho
Dept. Fish Game, Conservation Data Center, Boise, Idaho. Unpubl. Report 16 pp.
Clough, G C. and J. J. Albright. 1 987. Occurrence of the northern bog lemming, Synaptomys borealis,
in the northeastern United States. Canadian Field-Naturalist 101:611-613.
Doutt, J. K., C. A. Heppenstall and J. E. Guilday. 1973. Mammals of Pennsylvania, 3rd edition. Penn.
Game Comm., Harrisburg. 283 pp.
Edwards, R. L. 1963. Observations on the small mammals of the southeastern shore of Hudson Bay.
Can. Field-Nat. 77:1-12.
Gaines, M. S., R. K. Rose, and L. R. McClenaghan, Jr. 1977. The demography oi Synaptomys
C00/7OT in eastern Kansas. Can. J. Zool. 55:1584-1594.
Gaines, M. S., C. L. Baker, and A. M. Vivas. 1979. Demographic attributes of dispersing southern bog
lemmings {Synaptomys cooperi) in eastern Kansas. Oecologia 40:91-101 .
Groves, C. and E. Yensen. 1 989. Rediscovery of the northern bog lemming {Synaptomys borealis) in
Idaho. Northw. Nat. 70:14-15.
Hall, E. R. 1 98 1 . The mammals of North America, 2nd edition, 2 vols., John Wiley and Sons, New
York.
20
Hoffmann, R. S., P. L. Wright and F. E. Newby. 1 969. The distribution of some mammals in Montana I.
Mammals other than bats. J. Mammal. 50:579-604.
Johnson, M. L. and P. W. Cheney. 1953. Synaptomys in Idaho and northeastern Washington. Murrelet
34:10.
Jones, J. K., Jr. and E. C. Bimey. 1988. Handbook of mammals of the north-central states. U. Minn.
Press, Minneapolis.
Jonkel, C. J. 1 959. An ecological and physiological study of pine marten. M.S. Thesis, Montana State
Univ., Missoula. 81 pp.
Layser, E. F. and T. E. Burke. 1 973 . The northern bog lemming and its unique habitat in northeastern
Washington. Murrelet 54:7-8.
Linzey, A. V. 1 983 . Synaptomys cooperi. Mammalian Species Accounts, No. 2 1 0. American Society
of Mammalogists. 5 pp.
Moseley, R. and C. Groves. 1 990. Rare, threatened and endangered plants and animals of Idaho.
Unpubl. rep., Nat. Heritage Sect., Nongame and Endangered Wildl. Prog., Idaho Dept. Fish Game,
Boise. 33 pp.
Pearson, D. E. 1 99 1 . The northern bog lemming in Montana and the contiguous United States:
distribution, ecology and relic species theory. Unpubl. Senior Thesis, Univ. Mont., Missoula. 33 pp.
Reichel, J. D. 1 984. Ecology of Pacific Northwest alpine mammals. Ph.D. thesis, Washington State
Univ., Pullman. 91 pp.
Reichel, J. D. 1995. Montana animal species of special concern. [Unpubl. list], Mont. Nat. Heritage
Prog., Helena. 10 pp.
Reichel, J. D. and S. G Beckstrom. 1993. Northern bog lemmings survey: 1992. Montana Natural
Heritage Program. Helena, MT. 64 pp.
Reichel, J. D. and S. G Beckstrom. 1994. Northern bog lemmings survey: 1993. Montana Natural
Heritage Program. Helena, MT. 87 pp.
Shaffer, M. L. 1 98 1 . Minimum population sizes for species conservation. Bioscience 31:131-134.
Weckwerth, R. P. and V. D. Hawley. 1 962. Marten food habits and population fluctuations in Montana.
J. Wildl. Manage. 26(l):55-74.
21
Wilson, C, R. E. Johnson and J. D. Reichel. 1 980. New records for the northern bog lemming in
Washington. Murrelet 6 1 : 1 04- 1 06.
Wright, R L. 1950. Synaptomys borealis from Glacier National Park, Montana. J. Mammal. 3 1 :460.
22
APPENDIX I. NORTHERN BOG LEMMING PVA MODEL DESIGN PARAMETERS
Life-cycle of the northern bog lemming.
STAGE CLASSES
Subadult
Adult-first litter
Adult-second litter
APPROXIMATE AGES
90-1 80 days
180-270 days
>270 days
DURATION OF STAGE
3 months
3 months
NA
Population projection matrix for northern bog lemmings with a pre-birth pulse.
^380
§2
s.
where:
m^ = maternity rate subadults
m^ = maternity rate adults first litter
m3 = maternity rate adults second litter
Sq = survival to subadult
Sj = survival to adult
S^ = survival of adults to breed a second time
S3 =
The projection interval is 3 months, the average interbirth interval.
Calculation of variables in the projection matrix:
m^ = maternity rate subadults = (average litter size of subadults)(proportion of subadult females
breeding).
We calculated the maternity rate of subadults as an average of the two projection intervals calculated
from museum records:
m^ = [(3.5)(0.57) + (3.25)(0.125)]/2 = 1.201
m^ = matemity rate adults first litter = (average litter size of adults first litter)(proportion of females
breeding)
23
Calculated from museum records for females collected:
m2=(4.28)(0.75) = 3.21
m3 = maternity rate adults second litter = (average litter size)(proportion of females breeding)
Calculated from museum records for females collected:
m3 = (3.9)(0.4848)= 1.89072
Sq = survival to subadult
From Beasley and Getz (1 986) for southern bog lemmings in southern Illinois (see results):
8^ = 0.4100
Sj = survival of subadults to adult
From Beasley and Getz (1 986) for southern bog lemmings in southern Illinois (see results):
8^ = 0.4100
S^ = survival of adults to breed a second time
From Gaines et al. (1 997) for southern bog lemmings in Kansas:
average adult 2-week survival rate in summer = 0.7067 (SE = 0.499)
average adult 2-week survival rate in winter = 0.7683 (SE = 0.0601)
Survival over the prediction interval (3 months), is the 2-week survival rate times 6, or 0.7067^
(=0. 1245) in summer, and 0.7683^ (=0.2057) in winter. Dispersing adults were taken into account
by adding 0. 1 to summer and winter adult survival rates, increasing them to 0.2245 and 0.3057,
respectively.
Adults may breed a second time in the same summer they had their first litter, or may breed a
second time after overwinter survival. Survival rate of adults to breed a second time was calculated
as summer and winter survival rates weighted by maternity rates of first and second litters,
respectively:
S^ = (0.75)(0.2245) + (0.4848)(0.3057)
= 0.1684 + 0.1482
= 0.3166
S3 =
These variables were inserted in the Leslie matrix as follows:
(1.201X0.4100)
(3.21)(0.4100)
(1.8907X0.4100)
0.4100
0.3166
24
The Leslie matrix calculated from the variables is:
0.4924
1.3161
0.7752
0.4100
0.3166
Demographic and environmental stochasticity
Demographic and environmental stochasticity was modeled from the standard errors of the estimates for
survival, litter size, and proportion of females breeding used in the population matrix. The
stochasticity matrix takes the same form as the Leslie matrix for population projection, except in this
case the variables represent the standard errors of the estimates rather than the average value for the
variable:
([se]mJse]S„) ([se]mJse]S„) ([se]m3 [se]S„)
(se)Sj
(se)S2
(se)S3
Standard errors for survival were calculated from replicate samples (years and/or populations) reported
in the literature. Litter size standard errors were from replicate females used to estimate the mean
litter size, as presented in the Results section.
These variables were inserted in the Leslie matrix as follows:
(0.6915X0.2399)
(1.63)(0.2399)
(1.1)(0.2399)
0.2399
0.0419
The Leslie matrix for stochasticity is thus:
0.1659
0.3910
0.2639
0.2399
0.0419
Sources used to develop the model include:
Akcakaya, H. R. 1 993 . RAMAS/GIS. Linking landscape data with population viability analysis.
Applied Biomathematics, Seauket, New York.
Brault, S., S. Boyd, F. Cooke, and J. Takekawa. n.d. Population models as tools for research
cooperation and management: The Wrangel Island snow geese, unpubl. ms.
25
Caswell, H. 1989. Matrix population models. Sinauer Associates, Sunderland, MA.
Mills, L. S., S. G. Hayes, C. Baldwin, M. J. Wisdom, J. Citta, D. J. Mattson, and K. Murphy. 1996.
Factors leading to different viability predictions for a grizzly bear data set. Conservation Biology 10:
863-873.
Wisdom, M. J. and L. S. Mills. 1 997. Sensitivity analysis to guide population recovery: prairie-chickens
as an example. J. Wildl. Manage. 61 :302-3 12.
26
APPENDIX 11. MUSEUMS CONTACTED AND RESULTS
Provincial Museum of Alberta, Edmonton: received data on 1 5 specimens
University of Alberta Museum: received data on 27 specimens
British Columbia Provincial Museum: received data on 77 specimens
University of British Columbia: received data on 73 specimens
Manitoba Museum of Man and Nature, Winnipeg: received data on 78 specimens
University of Manitoba: no reply
New Brunswick Museum, Saint John: received data on 1 specimen
CarletonUniv. Mus. (Ontario): no reply
Canadian Museum of Man and Nature, Ottawa: received data on 2 1 6 specimens
Royal Ontario Museum, Toronto: received data on 147 specimens
Redpath Museum, McGill University, QB: : have no S. borealis
Saskatchewan Museum of Natural History: no reply
University of Saskatchewan, Saskatoon: received data on 15 specimen
AK Dept Fish and Game: called to say now specimens were primarily at Univ. AK, with some at TX
A&MandUnivIU.
University of Alaska Museum: received data on 74 specimens
University of Arizona: : no reply
California Academy of Sciences, San Francisco: have no S. borealis
California State University, Fresno: : no reply
Natural History Museum of Los Angeles County: have no S. borealis (phone 5/1 8/94)
Museum of Vertebrate Zoology, University of California, Berkeley: received data on 39 specimens
University of California, Los Angeles: received data on 1 specimens
University of Colorado, Boulder: received data on 2 specimens
University of Connecticut, Storrs: have no S. borealis
National Museum of Natural History, Washington, DC: received data on 1 65 specimens
Florida Museum of Natural History, University of Florida, Gainesville: have no S. borealis
Field Museum of Natural History, Chicago, IL: received data on 5 1 specimens
University of Illinois, Urbana: received data on 6 specimens
Fort Hays State University, Museum of the High Plains, KS: : no reply
University of Kansas, Lawrence: received data on 1 8 specimens
Harvard University, Museum of Comparative Zoology, Cambridge: received data on 34 specimens
Mich. State University, East Lansing: received data on 2 specimens
University of Michigan, Ann Arbor: received data on 4 specimens
University of New Mexico, Museum of Southwestern Biology: received data on 1 specimen
American Museum Natural History, New York, NY: received data on 7 1 specimens
University of Oklahoma: received data on 39 specimens
Carnegie Museum of Natural History, Penn.: no reply
Philadelphia Academy of Natural Sciences: have no S. borealis
Texas A&M: no reply
Texas Tech University, Lubbock: have no S. borealis
27