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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 Unpublished report to the Kootenai National Forest.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Pearson provided access to his invaluable unpublished information.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