BEHAVIORAL RESPONSES OF LYNX TO DECLINING SNOWSHOE HARE ABUNDANCE by RICHARD M.P.WARD B.Sc. Acadia Univ. Nova S c o t i a 1978 A THESIS SUBMITTED I N PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF SCIENCE in THE FACULTY OF GRADUATE STUDIES (Department of Zoology) We a c c e p t t h i s t h e s i s a s c o n f o r m i n g required standard to the THE UNIVERSITY OF B R I T I S H COLUMBIA J a n u a r y 1985 (?) R i c h a r d M.P.Ward, 1985 In p r e s e n t i n g this thesis i n partial f u l f i l m e n t of the r e q u i r e m e n t s f o r an a d v a n c e d d e g r e e a t t h e of B r i t i s h Columbia, I agree that it freely t h e L i b r a r y s h a l l make a v a i l a b l e f o r r e f e r e n c e and s t u d y . agree t h a t p e r m i s s i o n f o r extensive for University s c h o l a r l y p u r p o s e s may for financial of The U n i v e r s i t y o f B r i t i s h 1956 Main M a l l V a n c o u v e r , Canada V6T 1Y3 DE-6 (3/81) Columbia my It is thesis s h a l l n o t be a l l o w e d w i t h o u t my permission. Department thesis be g r a n t e d by t h e h e a d o f copying or p u b l i c a t i o n of t h i s gain further copying of t h i s d e p a r t m e n t o r by h i s o r h e r r e p r e s e n t a t i v e s . understood that I written i i ABSTRACT The behavioral responses of lynx (Lynx canadensis) t o d e c l i n e s i n snowshoe h a r e (Lepus a m e r i c a n u s ) abundance were examined i n the southwestern Yukon. B e t w e e n A p r i l 1982 a n d J u n e 1984 11 l y n x were r a d i o - t a g g e d and m o n i t o r e d w i t h i n and near t h e K l u a n e Game S a n c t u a r y . L y n x mean home r a n g e s i z e i n c r e a s e d f r o m 13.2 t o 39.2 km c o n c u r r e n t with a decline i n snowshoe h a r e a b u n d a n c e f r o m 14.7 t o 0.2 h a r e s / h a . Below about 0.5 h a r e s / h a s e v e r a l l y n x a b a n d o n e d t h e i r home r a n g e s a n d became nomadic, a l t h o u g h they remained w i t h i n the g e n e r a l study area. T r a c k t r a n s e c t s t h r o u g h a r e a s known t o have d i f f e r e n t snowshoe hare d e n s i t i e s indicated that,lynx concentrated their foraging e f f o r t s i n areas of r e l a t i v e l y high snowshoe h a r e abundance. Lynx abandoned t h e s e a r e a s a f t e r hare abundance d e c l i n e d . Lynx foraging e f f o r t i n t e r m s o f d i s t a n c e t r a v e l l e d p e r d a y showed a c u r v i l i n e a r r e l a t i o n s h i p t o snowhoe h a r e a b u n d a n c e . Straightline daily travel distance remained constant a t 2.2 t o 2.7' km/day a b o v e 1.0 h a r e / h a . Below 1.0 h a r e s / h a , straight-line d a i l y t r a v e l d i s t a n c e s i n c r e a s e d r a p i d l y , r e a c h i n g 5.5 km/day a t 0.2 h a r e s / h a . T h r e e o f 7 r a d i o - t a g g e d l y n x d i s p e r s e d 250 km o r more from the study area d u r i n g t h e p e r i o d of r a p i d d e c l i n e i n h a r e a b u n d a n c e i n 1982. No s i m i l a r l o n g d i s t a n c e d i s p e r s a l was recorded after hare densities stablized a t l e s s than 1.0 hares/ha. T r a p p i n g m o r t a l i t y was r e s p o n s i b l e f o r t h e l o s s o f 7 of 9 radio-tagged lynx that travelled outside t h e game sanctuary. One l y n x d i e d , a n d i s b e l i e v e d t o have starved, d u r i n g t h e w i n t e r o r s p r i n g o f 1984. The h i g h r a t e o f t r a p p i n g mortality outside t h e game s a n c t u a r y s u g g e s t s t h a t r e f u g i a i n wilderness areas are important i n m a i n t a i n i n g lynx populations d u r i n g p e r i o d s of low r e c r u i t m e n t . 2 TABLE OF CONTENTS ABSTRACT i i L I S T OF TABLES iv L I S T OF FIGURES v ACKNOWLEDGEMENTS . . vi INTRODUCTION 1 METHODS a n d STUDY AREA 5 Study Area 5 T i m i n g and Emphasis o f Study 5 E s t i m a t i o n o f Snowshoe H a r e A b u n d a n c e 8 Lynx T r a p p i n g and R a d i o T a g g i n g 9 R a d i o T e l e m e t r y a n d Home Range D e t e r m i n a t i o n 9 Track Transects 11 RESULTS 12 Snowshoe H a r e A b u n d a n c e 12 Lynx T r a p p i n g Success 15 Effect o f Snowshoe Hare Abundance on L y n x Home Range Size 21 E f f e c t o f Snowshoe Hare A b u n d a n c e on L y n x Foraging Effort 35 Effect o f Snowshoe H a r e D i s t r i b u t i o n on L y n x F o r a g i n g Patterns . 38 Lynx Dispersal and M o r t a l i t y during a Decline in Snowshoe H a r e A b u n d a n c e 44 DISCUSSION 49 L y n x Home Range S i z e 49 Effect o f Snowshoe Hare A b u n d a n c e on Lynx F o r a g i n g Effort 56 E f f e c t o f Snowshoe H a r e D i s t r i b u t i o n on L y n x Foraging Patterns 66 Lynx D i s p e r s a l and M o r t a l i t y 68 Lynx S o c i a l S t r u c t u r e 72 Management I m p l i c a t i o n s 76 Introduction 76 The M o d e l s 77 R e s u l t s and D i s c u s s i o n 82 REFERENCES CITED 95 APPENDIX 102 L I S T OF TABLES T a b l e 1. Summary o f t h e i m p o r t a n c e o f snowshoe h a r e s i n t h e d i e t of l y n x 3 T a b l e 2. Summary o f l y n x t r a p p i n g s u c c e s s 16 T a b l e 3. L y n x body w e i g h t s 18 Table 4. Comparison of 100% a n d 90% home r a n g e a r e a s o f lynx 24 T a b l e 5. E f f e c t o f r e l a t i v e snowshoe h a r e a b u n d a n c e on l y n x foraging patterns 42 Table 6. Parameter e s t i m a t e s used i n lynx population s i m u l a t i o n models 78 V L I S T OF FIGURES F i g u r e 1. Map o f s t u d y a r e a F i g u r e 2. Snowshoe h a r e a b u n d a n c e Figure 3. E x a m p l e s o f 100% a n d 9 0 % l y n x home r a n g e s i z e estimates F i g u r e 4. Mean home r a n g e s i z e f o r lynx versus snowshoe hare abundance Figure 5. I n d i v i d u a l l y n x home r a n g e s i z e s v e r s u s snowshoe hare abundance F i g u r e 6. Map o f a r e a s delineated by j o i n i n g outermost o b s e r v e d l o c a t i o n s of "nomadic" i n d i v i d u a l s F i g u r e 7. Mean s t r a i g h t - l i n e d a i l y t r a v e l d i s t a n c e s o f l y n x v e r s u s snowshoe h a r e a b u n d a n c e Figure 8. Maximum o b s e r v e d straight-line daily travel d i s t a n c e s o f l y n x v e r s u s snowshoe h a r e a b u n d a n c e Figure 9. Map o f l o n g distance dispersal movements u n d e r t a k e n by l y n x Figure 10. O b s e r v e d and expected total daily travel d i s t a n c e s f o r l y n x v e r s u s snowshoe h a r e a b u n d a n c e F i g u r e 11. R e p r o d u c t i o n o f F i g u r e 2, B r a n d a n d K e i t h ( 1 9 7 9 ) w i t h 2 a d d i t i o n a l r e g r e s s i o n l i n e s added F i g u r e 12. D y n a m i c s o f s i m u l a t e d lynx population using model A w i t h o b s e r v e d m o r t a l i t y r a t e s Figure 13. D y n a m i c s o f s i m u l a t e d lynx population using model A w i t h t o t a l a n n u a l m o r t a l i t y r a t e s e t a t 0.30. .. F i g u r e 14. D y n a m i c s o f s i m u l a t e d lynx population using model A a n d m o r t a l i t y rate e s t i m a t e s from Brand and K e i t h 1979 6 13 22 26 29 32 36 39 46 59 62 83 85 87 vi ACKNOWLEDGEMENTS Many i n d i v i d u a l s made v a l u a b l e c o n t r i b u t i o n s t o my p r o g r e s s in t h i s study. Foremost, I wish to d e d i c a t e t h i s t h e s i s to the 11 i n d i v i d u a l s w i t h o u t whose i n v o l v e m e n t t h i s r e s e a r c h w o u l d n o t have been p o s s i b l e : To J o y , S c r u f f , S i d , C h a r l e y , C a r l o s , J e a n , S c o t t i e , Rene, J e n n i f e r , E n r i q u e and P a u l . Dr. C.J. K r e b s was t h e p r i n c i p l e a c a d e m i c s u p e r v i s o r f o r this study. Throughout the study, he p r o v i d e d s u p p o r t and encouragement i n v a r i o u s forms. He a l s o s e t an inspiring, if exhausting, example w i t h the amount of e n e r g y he d e v o t e d t o f i e l d r e s e a r c h and e c o l o g y i n g e n e r a l . T h a n k s a g a i n C h a r l e y . Dr. A.R.E. S i n c l a i r a l s o a c t e d as academic supervisor during a p o r t i o n of this study. He also provided o f f i c e s u p p l i e s d u r i n g the w r i t e - u p phase of the s t u d y . T h a n k s Tony. I gratefully acknowledge the support and input of my research committee. Drs. C.J. K r e b s , J.N.M. S m i t h and D.M. S h a c k l e t o n a l l made v a l u a b l e comments and u s e f u l s u g g e s t i o n s . I w i s h t o e x p r e s s my a p p r e c i a t i o n t o t h e staff and other r e s e a r c h e r s a t t h e K l u a n e L a k e R e s e a r c h S t a t i o n who made my s t a y there an extremely p l e a s a n t and r e w a r d i n g t i m e . I especially w i s h t o thank the 2 W i l l i a m s families, S c o t t , Jean, Carlos, Jennifer, J o y and J o h n . I t w o u l d n ' t h a v e been t h e same w i t h o u t you. When n o t p l a y i n g w i t h g r i z z l y b e a r s d u r i n g the summer of 1983, Henrik Asfelt assisted i n data collection. Alistair B l a c h f o r d and Tom H u r d a s s i s t e d w i t h the computer programming necessary f o r data analysis. Tom Hurd a l s o made v a l u a b l e comments on an i n i t i a l d r a f t . Marc L a b e l l e o f f e r e d a d v i c e on statistical analysis. O t h e r s , t o o numerous t o name, a s s i s t e d i n various aspects of this r e s e a r c h . To them I o f f e r my s i l e n t gratitude. T h i s r e s e a r c h was f u n d e d by g r a n t s from British Columbia Science C o u n c i l , Northern Scientific T r a i n i n g Program, and g r a n t s t o Dr. Charles Krebs from the Natural Sciences and E n g i n e e r i n g Research C o u n c i l . 1 INTRODUCTION The c l o s e r e l a t i o n s h i p b e t w e e n t h e t e n y e a r c y c l e s o f (Lynx canadensis) first noted a n d t h e snowshoe h a r e i n the e c o l o g i c a l l i t e r a t u r e (1942). Since ecology h a v e been studied In of review). then view many snowshoe h a r e numbers, lynx 1973, Nava Keith an increase in lynx has et a l . a l . 1983 for a of the previous et a l . de J o n g 1963, 1972, B r a n d e t a l . 1983). work Stewart 1976, B r a n d T h e s e s t u d i e s have m o r t a l i t y and a d e c l i n e also et have r e l a t e d h a r e a b u n d a n c e t o and m o r t a l i t y (van Z y l l w i t h d e c l i n i n g snowshoe of of l y n x n a t u r a l h i s t o r y and (see Parker however, 1979, P a r k e r Nicholson t o snowshoe h a r e a b u n d a n c e . 1970, N e l l i s and by E l t o n a n d surprisingly l i t t l e studies, reproduction ( L e p u s a m e r i c a n u s ) was t h e c l o s e r e l a t i o n s h i p between l y n x and has r e l a t e d l y n x e c o l o g y Several aspects lynx hare abundance. i n recruitment G e n e r a l body b e e n shown t o be p o s i t i v e l y shown of l y n x condition correlated with hare abundance. Studies of lynx Nellis o f t h e e f f e c t s o f h a r e a b u n d a n c e on ecology et a l . s t u d i e s were population Parker and been r e p o r t e d 1972, N e l l i s part dynamics et a l . of a in by N e l l i s long Alberta term study (Keith of and diet These snowshoe hare of 1978). prey abundance have been u n a n i m o u s in finding i n Nova S c o t i a . studies of 1976. Windberg and others t h a t snowshoe h a r e s a r e t h e s i n g l e most i m p o r t a n t the aspects a n d K e i t h 1968, 1975, a n d B r a n d e t a l . ( 1 9 8 3 ) a l s o r e p o r t on a s t u d y lynx ecology These have other the lynx food item d u r i n g a l l p h a s e s o f t h e 10 y e a r in cycle 2 (Table 1). mortality The rates indicates that decline fact and that lynx recruitment declines i n c r e a s e w i t h d e c l i n i n g hare abundance lynx are low severely energy stressed p h a s e s of t h e h a r e c y c l e . One and clearly during would the therefore expect that l y n x would e x h i b i t major b e h a v i o r a l changes effort continue requirements to to f u l f i l l hare abundance d e c l i n e s . use are: 1) foraging effort increase effort In t h i s study utilize each energy intake. during a structuring of most o b v i o u s m e c h a n i s m s l y n x home r a n g e s i z e ; 3) and seek out r e l a t i v e l y high I investigated these possible I present data snowshoe hare the social i m p l i c a t i o n s o f my energetic their and i n p a t c h e s of The their lynx in f i n d i n g s are on 2) increase concentrate prey the their an as might their foraging abundance. degree to which lynx mechanisms t o maximize their lynx d i s p e r s a l decline. system discussed. and Finally, and the mortality the factors management 3 Table 1. A summary f r o m p a s t s t u d i e s o f t h e i m p o r t a n c e snowshoe h a r e s i n t h e d i e t o f l y n x . of Study Nellis et a l . 1 972 Alberta Brand et a l . 1976 Alberta More 1 976 southwestern N.W.T. van Z y l l De J o n g 1 963 Alberta Saunders 1 963 Nfld. Hare cycle phase decline Season winters 1964-67 Most important item i n lynx diet hares 7 6% o f biomass N e x t most important item i n lynx d i e t 9.8% carrion low winter carrion 52% o f biomass high winter hares 100% o f biomass high summer hares 91% of biomass 2% m i c e and v o l e s low winter hares 79-100% f r e q . of occurance in scats 25-64% red squirrel winter hares 79% f r e q . of o c c u r , i n gut contents 10% microtine summer hares 52% f r e q . of o c c u r , in gut contents 31% microtine winter hares 85% o f b i oma s s summer hares 60% o f biomass start of decline hares 43% of biomass 1 3% moose 30% microtine 5 METHODS AND STUDY AREA Study The Kluane s t u d y was c e n t e r e d National Management Park Zone Area i n the southwestern within and adjacent Yukon, n o r t h of to of the northern b o r e a l f o r e s t (1974). White species, The spruce study area roads accomplished by glauca) i s t h e dominant i s d i s s e c t e d by a number o f o l d m i n i n g which facilitated snowmobile, Timing I conducted February travel. snowshoeing and Winter skiing. 1982 a n d J u n e 1984. a n d May 1982 I f o c u s e d my e f f o r t s around trapping l y n x a n d snowshoe h a r e s each grid. f o r both Winter After Summer and Emphasis of Study t h e s t u d y between F e b r u a r y during this period. and b i k e and w a l k i n g . Pond) ( F i g u r e 1 ) . I e x p e n d e d on less t r a v e l was A (Microwave) and B (Beaver effort is tree s p p . ) and o t h e r was by f o u r w h e e l d r i v e t r u c k , t r a i l Between area s p e c i e s m a k i n g up t h e u n d e r s t o r y . exploration travel (Picea The zone a s d e s c r i b e d by D o u g l a s with a v a r i e t y of willows (Salix abundant shrubs Game 6-10 ( F i g u r e 1 ) . T h i s i s c l a s s i f i e d a s a game s a n c t u a r y w i t h no h u n t i n g o r t r a p p i n g p e r m i t t e d . part Yukon snow-tracking on e a c h e f f o r t was a l s o grids equal grid equal May 1982, g r i d B was a b a n d o n e d f o r l y n x t r a p p i n g and s n o w - t r a c k i n g due t o i t s relative inaccessibility 6 Figure 1. Map o f s t u d y a r e a i n s o u t h w e s t e r n Y u k o n . A, B, C and D i n d i c a t e l o c a t i o n s o f snowshoe h a r e l i v e - t r a p p i n g grids. See t e x t f o r a d e s c r i p t i o n o f t h e g r i d s . 8 although I L y n x and within continued in Game S a n c t u a r y this distribution an monitor h a r e a b u n d a n c e on t h e snowshoe h a r e m o n i t o r i n g c o n t i n u e d t o be most the Kluane system to area. t o t a k e a d v a n t a g e of Careful records of the grid. intensive the road number of l y n x t r a c k s i n t h e s a n c t u a r y were k e p t and so that e s t i m a t e c o u l d be made o f t h e p r o p o r t i o n of l y n x i n t h e t h a t were r a d i o - t a g g e d . necessary The total study area was area expanded as to maintain c o n t a c t w i t h the r a d i o - t a g g e d lynx ( F i g u r e 1). E s t i m a t i o n o f Snowshoe H a r e A b u n d a n c e Snowshoe h a r e a b u n d a n c e was grids in on determine the Grid A effect Grids B (Beaver for ( F i g u r e 1). Pond), C d e s c r i b e d by B o u t i n of s u p p l e m e n t a l f o o d on h a r e ( G r i z z l y ) and D (1050) (1980). alive H a r e a b u n d a n c e was t h e g r i d s were c a l c u l a t e d w i t h o u t discussed the b i a s i n t r o d u c e d i n t o d e n s i t y relatively H i s model s u g g e s t s to 3 times too high. grid). determined 1966). are using Hare t h e a d d i t i o n of a estimates size to controls Bondrup-Nielsen small grid t h a t my grid these g r i d s (Krebs strip of of method boundry programs. (MNA/area (MNA) their abundance. were L i v e - t r a p p i n g t e c h n i q u e s on d e n s i t i e s on use s t u d y of a food a d d i t i o n number the live-trapping ( M i c r o w a v e ) was t h e minimum from four t h e s t u d y a r e a a s p a r t of a c o n c u r r e n t ten year c y c l e . A monitored (1983) resulting in live-trapping d e n s i t y e s t i m a t e s may be 2 9 L y n x T r a p p i n g and Radio T r a p p i n g e f f o r t s t o c a p t u r e and from February 1983. t r a p s but similar (see from A p r i l f r o m #2 trappers. t o #4, (concentration trapped, i t I00mg/ml: padded i n "cubby" type and fitted sets roads once e v e r y 24 hours. l u r e s t o perfume was immoblized and rogar/STB, division with ketaset o f BTI Products L o n d o n , O n t a r i o ) a t a d o s a g e o f a p p r o x i m a t e l y 0.2 kg o f body w e i g h t . were used. Once a l y n x was Inc., at least box Steel leg- w i t h the jaws of b a i t s r a n g i n g from c o m m e r c i a l r i b b o n s were t o September S e t s were p l a c e d a l o n g t r a i l s t h e s t u d y a r e a and c h e c k e d variety continued Later trapping efforts t o t h o s e e m p l o y e d by p r o f e s s i o n a l ranging i n size lynx made t o c a p t u r e l y n x u s i n g ineffective. Anonymous,1982). silver and was and e i t h e r c l o t h t a p e o r r u b b e r were u s e d within A , an a t t e m p t t h i s proved hold traps, with radio-tag t h r o u g h December 1982 Initially Tagging The l y n x was then weighed, with a radio transmitter prior to sexed, ml per ear-tagged release. R a d i o T e l e m e t r y and Home Range D e t e r m i n a t i o n Radio Materials standard telemetry equipment Inc., Carbondale, radio-telemetry c o m b i n a t i o n of h a n d h e l d checks on bearings transmitters using this and was Illinois. L y n x were techniques fixed produced (Cochran tower i n known l o c a t i o n s system by Wildlife located 1980) antennas. using with a Accuracy indicated that were a c c u r a t e t o + 5 d e g r e e s compass 95% o f 10 the time. tagged Compass b e a r i n g s animal was f e l t t h a t t h e e r r o r no compass b e a r i n g s were disappeared using at was required from t h e study radio-telemetry various accurate was a c t i v e when t h e b e a r i n g it bearings were l e s s times introduced recorded. to was June of minimum each l o c a t i o n . an e f f o r t I f a lynx was made t o l o c a t e i t The l y n x t h e day and n i g h t were located from A p r i l and 1984. Once f i t t e d w i t h a r a d i o t r a n s m i t t e r , e a c h lynx until month i t dispersed trappers, I defined following compass May followed 3 2 1983 a n d d u r i n g professional a If A December, 1982 a n d b e t w e e n May a n d O c t o b e r , and taken. was e x c e s s i v e , f r o m an a i r c r a f t . throughout was b e i n g radio- by a c t i v i t y produce area, i f the from t h e a r e a , i t was t r a p p e d or the t r a n s m i t t e r stopped working. home r a n g e a s t h e c o n s i s t e n t u s e o f an a r e a period. I therefore 3 month p e r i o d s subdivided by t h e study over into the f o r subsequent a n a l y s i s : MONTHS PERIOD A p r i l - J u n e 1982 2 J u l y - S e p t e m b e r 1982 3 O c t o b e r - D e c e m b e r 1982 4 A p r i l - J u n e 1983 5 J u l y - S e p t e m b e r 1983 6 A p r i l - J u n e 1984 I u s e d a minimum o f 30 p o i n t to determine home r a n g e . l o c a t i o n s w i t h i n . each period Home r a n g e s i z e was e s t i m a t e d by t h e 11 convex polygon method modification. I (Mohr eliminated 1947) with t h e outermost the following 10% o f l o c a t i o n s i n c a l c u l a t i n g home r a n g e s i z e a f t e r t h e method o f B o u t i n This the reduced assessment the i n c l u s i o n of o c c a s i o n a l wanderings (1980). by l y n x i n o f i t s home r a n g e . Track T r a n s e c t s To determine abundance transects on p a t t e r n s The e v e r y 600 m e t e r s permitted effects of of h a b i t a t relative each number of throughout December 1982. April have of s e t s of f r e s h l y n x transect morning snowshoe u s e by l y n x , w i n t e r were r u n t h r o u g h a r e a s known t o abundances. conducted the was when and recorded. weather from and late hare snow track different hare tracks crossing Transects snow October were conditions to early 12 RESULTS Snowshoe Hare Abundance H a r e a b u n d a n c e on g r i d s A ( s u p p l e m e n t a l f o o d g r i d ) , C and D peaked in i n the f a l l the f a l l 1981 on of 1980. o f 1981. grid A Maximum f a l l (Figure 10.3, 2). 8.0 monitoring lynx on g r i d A h a r e d e n s i t y density had dropped control grids Population and o f 1982. was 3.3 on levelled (mean 0.2 ±0.1 slightly, densities hares/ha. relatively I h a r e a b u n d a n c e on g r i d s B, C, (mean 2.1 ±0.5) 14.7 h a r e s / h a . the 1.0 ±0.4 1982 By o f f or increased grids July food hares/ha. Snowshoe t h r o u g h June 1984. hare grid. slightly on a l l born. a g a i n on a l l on a l l g r i d s a t hare r e m a i n e d r e l a t i v e l y c o n s t a n t a t b e t w e e n 0.2 a n d 0.5 all hares/ha h a r e s / h a on t h e supplemental i n 1983 were e q u i v a l e n t ±0.2 high when and 1.4 In A p r i l By J u l y d e n s i t i e s on a l l g r i d s h a d a v e r a g i n g 0.5 ±1.2) r a p i d l y on t h e summer months a s y o u n g o f t h e y e a r were Spring in B, C and D 9.7 to decline D u r i n g O c t o b e r , h o w e v e r , d e n s i t i e s began t o d e c l i n e grids. density densities on g r i d s remaining to approximately to densites grids during hare 10.7 began activities, D r e s p e c t i v e l y was 2.6, 2.4 while and 1982 w h i l e on g r i d A t h r o u g h o u t t h e s p r i n g and snowshoe Densities g r i d s B, C a n d D i n J a n u a r y began B r e a c h e d i t s maximum were 22.6 h a r e s / h a , w h i l e t h e y were r e s p e c t i v e l y hares/ha Grid increased densities hares/ha on 13 Figure 2. Snowshoe h a r e d e n s i t y on s u p p l e m e n t a l f o o d g r i d A ( s o l i d l i n e ) and c o n t r o l g r i d s B, C a n d D ( d a s h e d l i n e ) . D e n s i t i e s a r e b a s e d on t o t a l e n u m e r a t i o n t e c h n i q u e s ( K r e b s 1966).. V e r t i c a l b a r s on d a s h e d l i n e i n d i c a t e ±1 standard deviation. 30i January 1981 January 1982 DATE January 1983 January 1984 15 Lynx T r a p p i n g Eleven tagged lynx (5 f e m a l e s i n approximately September 1983 Success and 6 m a l e s ) were t r a p p e d and 4700 t r a p - n i g h t s b e t w e e n A p r i l (Table 2 ) . I n a d d i t i o n , one r e c a p t u r e d and r e l e a s e d a p p r o x i m a t e l y female radio- 1982 and (Jean) 9 months a f t e r h e r was initial capture. It was not possible i n d i v i d u a l s but from it was evident t o determine t h e p r e c i s e age o f t h e t h e c o n d i t i o n of t h e n i p p l e s and t h a t two o f t h e f e m a l e s ( J o y and J e n n i f e r ) had b r e d p r e v i o u s l y a n d were t h e r e f o r e a t l e a s t showed and no 2 years o l d . of p r e v i o u s b r e e d i n g but her weight t h e f a c t t h a t she was t r a v e l l i n g a l o n e , was also initial With at (10.7 kg) suggests that S c r u f f and Rene showed no and may signs of developed alone, indicating scrotal testes and t h a t t h e y were a t l e a s t a d u l t body w e i g h t , scrotal were b u t an i n c o m p l e t e l y d e v e l o p e d travelling body c o n d i t o n more r a p i d l y (Table 3 ) . appeared to lynx, of 2 m a l e s c a p t u r e d l a t e h i g h e r than presumably 1982. w o u l d seem t o l o s e than males as hare abundance d e c l i n e s A l l m a l e s c a p t u r e d and r a d i o - t a g g e d be e x c e l l e n t Scottie p e n i s , non- h i s m o t h e r , s u g g e s t i n g t h a t he was a young o f t h e y e a r the l i m i t e d data o b t a i n e d , females them. weights, 1 year o l d . t e s t e s a n d was t r a v e l l i n g w i t h a n o t h e r From of her have been y e a r l i n g s when I r a d i o - t a g g e d penises, she previous t h e e x c e p t i o n of S c o t t i e , a l l m a l e s h a d a d u l t body fully Jean, l e a s t one a n d a h a l f y e a r s o l d a t t h e t i m e capture. breeding had signs genitalia body c o n d i t i o n . i n the those captured e a r l y study in this I n f a c t body were i n the study. equivalent study weights to or Females captured 16 T a b l e 2. Summary o f l y n x t r a p p i n g s u c c e s s , minimum r e s i d e n c y t i m e on s t u d y a r e a and f a t e o f r a d i o - t a g g e d l y n x . 17 Lynx Capture date (D/M/YR) Joy 4/4/82 adult =>2 y r s . F Sid 17/4/82 adult =>1 y r . M 9 Months k i l l e d w i t h i n 10 km of t a g g i n g s i t e , J a n u a r y 1983. Scruff 21/4/82 adult =>1 y r . F 7 Months d i s p e r s e d 16/10/82. k i l l e d 250 km N of t a g g i n g s i t e , Nov. 1982. Charlie 25/5/82 adult =>1 y r . M 40 Days d i s p e r s e d 5/7/82. k i l l e d 250 km N of t a g g i n g s i t e , D e c . 1982. Carlos 1/8/82 adult =>1 y r . M 13 M o n t h s r e s i d i n g i n study a r e a S e p t e m b e r 1 983. Scott ie 20/10/82 kitten < 1 yr. M 2 Months k i l l e d w i t h i n 10 km of t a g g i n g s i t e , December 1982. Jean 25/10/82 adult =>1 y r . F 10 M o n t h s k i l l e d w i t h i n 10 km of t a g g i n g s i t e , w i n t e r 1983-84. Rene 15/7/83 adult =>1 y r . F 6 Months J e n n i f e r 19/7/83 adult =>2 y r s . F 11 M o n t h s r e s i d i n g i n study a r e a , J u n e 1984. Enrique 29/7/83 adult =>1 y r . M 11 M o n t h s r e s i d i n g i n study a r e a , J u n e 1984: Paul 1/8/83 adult =>1 y r . M 4 Months Age Sex Minimum residency on s t u d y area 35 Days Fate d i s p e r s e d 8/5/82. k i l l e d 700 km N of t a g g i n g s i t e , December 1982. f o u n d d e a d 35 km east of tagging s i t e , J u n e 1984. k i l l e d w i t h i n 10 km of t a g g i n g s i t e , J a n u a r y 1984. 18 T a b l e 3. Body w e i g h t s f o r i n d i v i d u a l l y n x a t t i m e o f capture. Means a r e n o t s i g n i f i c a n t l y d i f f e r e n t P> 0 . 0 5 ) . * indicates recapture. (T-test Date April to December 1 982 April to September 1 983 Male c a p t u r e w e i g h t s (Kg) Sid 8.8 Charlie 8.6 Carlos 8.3 Scottie 9.7 mean = 8.9 95% c . i . = 8.0-9.7 Enrique Paul 10.4 9.5 mean =10.0 95% c . i . = 8.0-11 .9 Female c a p t u r e w e i g h t s (Kg) Joy Scruff Jean 9.5 8.3 lb.6 mean = 9.5 95% c . i . = 7.3-11.6 Jean * 9.9 Rene 7.7 J e n n i f e r 7.5 mean = 8.4 95% c . i . = 5.9-10.8 20 early and in the s t u d y h a d body w e i g h t s a p p e a r e d t o be i n good c o n d i t i o n . the study lower (Rene recapture t o those of males Those c a p t u r e d later a n d J e n n i f e r ) h o w e v e r , were e m a c i a t e d body w e i g h t s . body w e i g h t ) similar Jean also lost between h e r i n i t i a l and had 0.8 kg ( 7 . 5 % o f h e r capture i n October in initial 1982 a n d h e r i n J u l y 1983. Although i t is difficult to assess accurately what p r o p o r t i o n o f t h e p o p u l a t i o n I h a d r a d i o - t a g g e d , an e s t i m a t e c a n be o b t a i n e d , f o r t h e t r a n s e c t s through of 5 lynx using winters the area. at least, from that that is 1). track I b e l i e v e t h a t I had r a d i o - t a g g e d 4 grid A in April a n d May 1982. mentioned, I expanded t o study a r e a d u r i n g t h e (Figure repeated As p r e v i o u s l y summer of 1982 By November I was m o n i t o r i n g 5 l y n x a n d I s u s p e c t 5 more l y n x were r e s i d i n g in.the area. Further evidence a l a r g e p r o p o r t i o n o f t h e l y n x p o p u l a t i o n was r a d i o - t a g g e d that only During locations 1 o f 10 l y n x s i g h t e d d u r i n g t h e s t u d y was u n t a g g e d . t h e 26 months o f and visual Minimum r e s i d e n c y t i m e s months. the sightings f o r these study, were over made l y n x ranged 1300 on from telemetry t h e 11 l y n x . 35 d a y s t o 13 21 Effect o f Snowshoe H a r e A b u n d a n c e on Lynx Home Range As d e s c r i b e d of i n t h e m e t h o d s , I e l i m i n a t e d t h e o u t e r m o s t 10% l o c a t i o n s when c a l c u l a t i n g l y n x home r a n g e s i z e . these outermost p o i n t s r e s u l t s of w i t h o t h e r s t u d i e s I p r e s e n t my r e s u l t s a s ranges (Table 4) The l o s s o f i n a r e d u c t i o n o f home r a n g e f r o m 3 t o 70 p e r c e n t ( F i g u r e 3 a , b, c a n d d ) . home Size both and I use 90% range size For comparison 100% and 90% i n my a n a l y s i s a n d discussion. A l t h o u g h t h e r e was a smaller hare home r a n g e s t h a n m a l e s densities, significant for i t was (t-test, During consistently the or have statistically The d a t a a r e t h e r e f o r e of snowshoe summer of 1983 Rene Enrique hare combined abundance d i d not also on u s e any a r e a d i d not a n a l y s i s would o f home r a n g e a n d a r e t h e r e f o r e a n a l y s i s of the e f f e c t home r a n g e s i z e . Including these use areas through the increase home r a n g e s i z e in the Throughout i n t h e s i z e of t h e i r from following trend. ( F i g u r e 2 ) , hare d e n s i t i e s e a r l y phases i n the study. omitted o f h a r e a b u n d a n c e on l y n x movements strengthen the observed As p r e v i o u s l y d i s c u s s e d steady to d u r i n g t h e s p r i n g o f 1984. T h e s e movements do n o t following rate later consistent P>0.05). J e n n i f e r and my d e f i n i t i o n rapidly f o r females size. the consistently. trend w i t h i n a g i v e n r a n g e o f snowshoe not the a n a l y s i s of t h e e f f e c t l y n x home r a n g e fit slight declined' of t h e study and a t a l e s s e r this decline, home lynx ranges. f o r a l l i n d i v i d u a l s a t d i f f e r e n t hare showed a Both mean abundances ( F i g u r e 4) a n d home r a n g e s o f i n d i v i d u a l s m o n i t o r e d t h r o u g h t i m e 22 F i g u r e 3. E x a m p l e s o f 100% ( s o l i d l i n e ) a n d 90% ( d a s h e d l i n e ) home r a n g e e s t i m a t e s . F i g u r e 3a,b a n d c r e p r e s e n t t h e home r a n g e o f S i d a t h a r e d e n s i t i e s o f 14.7, 3.3 a n d 2.2 h a r e s / h a r e s p e c t i v e l y . F i g u r e 3d r e p r e s e n t s t h e home r a n g e o f C a r l o s a t 0.5 h a r e s / h a . 24 T a b l e 4. C o m p a r i s o n o f 100% a n d 9 0 % home r a n g e a r e a s o f lynx. Snowshoe h a r e d e n s i t i e s a r e i n i t i a l d e n s i t i e s a t t h e s t a r t o f e a c h 3 month p e r i o d f o r w h i c h i n d i v i d u a l l y n x home r a n g e s were c a l c u l a t e d . L y n x home r a n g e s a r e in square kilometers. * i n d i c a t e s that area not d e f i n e d a s a home r a n g e . See t e x t f o r e x p l a n a t i o n . Number o f l o c a t i o n s u s e d t o d e t e r m i n e e a c h home r a n g e i s in parentheses. 25 Lynx Hare density (hares/Ha) 100% home range s i z e (km ) 2 90% home range s i z e (km ) 2 Percent di f ference Joy 14.7 12.0 ( 3 0 ) 7.3 ( 2 7 ) 39 Sid 14.7 3.3 2.2 33.4 ( 9 5 ) 104.3 ( 7 8 ) 41.7 ( 5 3 ) 13.3 ( 8 5 ) 31.0 ( 7 0 ) 27.9 ( 4 7 ) 60 70 33 Scruff 14.7 i .3 46.4 ( 6 1 ) 44.9 ( 6 3 ) 17.7 ( 5 4 ) 43.4 ( 5 6 ) 62 3 Charlie 14.7 29.7 ( 5 4 ) 14.6 ( 4 8 ) 51 Carlos 1 .3 1 .0 0.5 0.2 28.8 ( 4 5 ) 22.4 ( 4 6 ) 113.9 ( 6 9 ) 76.8 ( 8 5 ) 15.8 16.1 58.1 52.4 (40) (41) (62) (76) 45 28 49 32 Jean 1 .0 0.5 0.2 17.1 ( 3 1 ) 68.5 ( 6 5 ) 34.0 ( 9 7 ) 13.7 ( 2 8 ) 30.3 ( 5 8 ) 28.1 ( 8 7 ) 20 56 17 Scottie 1 .0 55.4 ( 3 4 ) 27.6 (31 ) 50 Jennifer 0.5 0.2 61.8 ( 5 0 ) 200.6* (7) 33.5 ( 4 5 ) 46 Rene 0.5 524.8 ( 3 1 ) 254.7* (28) 51 Enrique 0.5 0.2 49.2 ( 5 5 ) 69.6* ( 1 2 ) 17.8 ( 4 9 ) 64 Paul 0.5 86.7 ( 6 1 ) 53.9 ( 5 4 ) 38 26 Figure 4. Mean home r a n g e s i z e f o r l y n x r e s i d i n g i n a r e a s w i t h i n d i c a t e d snowshoe h a r e d e n s i t i e s . Hare d e n s i t y i s t h e i n i t i a l d e n s i t y a t t h e s t a r t o f e a c h 3 month p e r i o d f o r w h i c h home r a n g e s o f i n d i v i d u a l l y n x were calculated. V e r t i c a l b a r s i n d i c a t e 95% c o n f i d e n c e l i m i t s o f mean. 60-1 0.0 1.0, ^ 5A ^ -0.9 -4.9 -15.0 c INITIAL HARE DENSITY MNA/Ha 28 (Figure 5) showed this plotted against either for each three the variance therefore and gave This t r e n d was s i m i l a r when h a r e d e n s i t i e s o r mean Using i n i t i a l clearer trends. densities These as a f u n c t i o n of i n i t i a l and June 1982, t h e grid A (early April mean home r a n g e 4 hare d e n s i t y s i z e o f 13.2 ( 9 5 % c . i . 8.8 t o 17.6) km . 2 the grid declined. density on grid A declined at a different mean home r a n g e densities i n the 2 areas i n in hares/ha. were the increase area not a s i g n i f i c a n t densities larger 14.5 t o 35.7) km . i n home with an range initial 23.7 t o 54.7) km . 2 1.0 and 4.9 hare over lynx densities Although t o the o v e r a l l abundance declined, still this i n areas with i s hare hares/ha, i t i s s i g n i f i c a n t l y w i t h h a r e d e n s i t e s g r e a t e r t h a n 4.9 h a r e s / h a as size h a r e d e n s i t y o f 14.7 increase over lynx r e s i d i n g between addition This 2 t h a n t h e mean home r a n g e s i z e o f l y n x r e s i d i n g In different 1.0 h a r e s / h a mean l y n x home r a n g e s i z e was h i g h e r a t 39.2 ( 9 5 % c . i . as Lynx r e s i d i n g i n D u r i n g t h e l o w p a r t o f t h e h a r e c y c l e when l e s s than ranges b e t w e e n 1.0 a n d 4.9 h a r e s / h a h a d a s i z e o f 25.1 ( 9 5 % c . i . not a s i g n i f i c a n t home These B e c a u s e h a r e d e n s i t i e s on t i m e p e r i o d s a r e l u m p e d b a s e d on h a r e d e n s i t y . hare lynx r a t e t h a n s u r r o u n d i n g a r e a s , home range d a t a f o r i n d i v i d u a l s r e s i d i n g residing are 14.7 h a r e s / h a ) h a d a hare is results radio-tagged d i s p e r s e d o r expanded t h e i r with reduced hare d e n s i t i e s i n individuals either areas densities period. Between A p r i l utilizing initial month p e r i o d . presented e a c h 3 month trend. (t-test, in areas P<0.05) t r e n d t o w a r d s l a r g e r home r a n g e s individual lynx monitored through 29 Figure 5. 9 0 % home r a n g e s i z e s o f i n d i v i d u a l l y n x a t i n d i c a t e d snowshoe h a r e d e n s i t y . Hare d e n s i t y i s t h e i n i t i a l d e n s i t y a t t h e s t a r t o f e a c h 3 month p e r i o d f o r w h i c h home r a n g e were c a l c u l a t e d . • • A o • • JOY SID SCRUFF CHARLIE CARLOS JEAN v + A x SCOTTIE JENNIFER ENRIQUE PAUL D 0 5 10 SNOWSHOE HARE DENSITY HARES/Ha 15 31 more t h a n size to one increased their as hare abundance d e c l i n e d ( F i g u r e 5 ) . this Sid, t r e n d was a slight decrease The home decline i n the f a l l of 1982. i n t h e home With range observed either tendency f o r i n d i v i d u a l s or for monitored, A during female the (Rene), i d e n t i f i e d a s h e r home r a n g e in late July 1983, she to 2.2 slight travelling river on this initial tagging area. before disappearing Within She for this several p e r i o d she occasions. consistently s u m m a t i o n of t h e and December 1983, study to be being On the her area she identified to an as area located approximately she late km week travelled t o t h e SE any on area home r a n g e , for her 255 35 a September. use of next flowing for her locations radio- r e t u r n e d t o the return, not to several fast area until did for a a month she had in enough S d u r i n g the and and extensively in After 35 km a and radio-tagged travelled streams 90% o f my amounts she was home r a n g e s t r a v e l l e d a s much a s 25 innermost October, I (Figure 6). remained Although enough 1983, 4 days. w i d e l y w i t h i n the general was t h e r e a p p e a r s t o be that approximately crossed several large trek. season remained i n the area She During with u s e d no a r e a c o n s i s t e n t l y week. July of in general. hares/ha summer of the g e n e r a l study area but before size some i n d i v i d u a l s t o abandon t h e i r become n o m a d i c . days 3.3 the e x c e p t i o n of the range A t d e n s i t i e s b e l o w a b o u t 0.5 tagged size i n t h e home r a n g e s i z e o f S i d a f t e r a p r e v i o u s i n c r e a s e , t r e n d t o w a r d s c h a n g e s i n home be range only exception c o n c u r r e n t w i t h a d e c l i n e i n hare abundance from hares/ha no 3 month t i m e p e r i o d km km . 2 E a between In of mid the 32 F i g u r e 6. Map o f a r e a s d e l i n e a t e d by j o i n i n g o u t e r m o s t o b s e r v e d l o c a t i o n s of "nomadic" i n d i v i d u a l s . 34 initial r a d i o - t a g g i n g s i t e and I b e l i e v e she s t a r v e d d u r i n g t h e previous winter. She was f o u n d d e a d i n t h i s a r e a In a d d i t i o n , J e n n i f e r and E n r i q u e 1983, had m a i n t a i n e d widely during maintain a June 1984 were that their Ninety within 2 have Based d u r i n g t h e same on 200 km 28.3) than No over These areas -21.7 t o 7 4 . 6 ) , considerably Over t h e c o u r s e 10.5 ( 9 5 % c . i . 0.6 t o a n d 22.0 ( 9 5 % c . i . M a l e - m a l e o v e r l a p was overlap (t-test 15.7 significant a l s o no s i g n i f i c a n t significantly on a r c s i n difference was m a l e - m a l e a n d f e m a l e - f e m a l e home r a n g e o v e r l a p was wandered f o r male-male, f e m a l e - f e m a l e and m a l e - f e m a l e male-female d a t a , P=0.04). this fully. home r a n g e o v e r l a p a v e r a g e d percent locations, during 2 period. and between s e x e s t h r o u g h o u t t h e s t u d y . interactions respectively. and 7 home r a n g e s o f l y n x o v e r l a p p e d 24.5 ( 9 5 % c . i . so been l a r g e r i f i t h a d been p o s s i b l e t o movements more percent of t h e s t u d y , There travelling i t was i m p o s s i b l e t o t o t a l area of a t l e a s t o f 60 km undoubtedly monitor less home r a n g e s , ( F i g u r e 6 ) . B a s e d on 12 l o c a t i o n s , E n r i q u e would to who, d u r i n g t h e summer o f c o n t a c t w i t h them. covered a minimum a r e a 20.5), and continuous Jennifer period May distinct i n J u n e 1984. found (t-test d i f f e r e n c e between f e m a l e - m a l e home r a n g e o v e r l a p (t-test transformed between P=0.18). female-female P=0.70). L y n x home r a n g e o v e r l a p r e m a i n e d h i g h t h r o u g h o u t t h e and an was area. relatively (95% c . i . not a f f e c t e d s i g n i f i c a n t l y Overlap high by a b s o l u t e h a r e d e n s i t y i n f o r the 4 i n d i v i d u a l s occupying hare abundance 16.0 t o 33.5) p e r c e n t . study the area of ( 1 4 . 7 h a r e s / h a ) a v e r a g e d 24.8 Between July and September 35 1983 h a r e d e n s i t y on my f o u r g r i d s was a b o u t 0.5 h a r e s / h a . range overlap for 5 l y n x r e s i d i n g i n an a d j a c e n t t h i s p e r i o d was 20.5 ( 9 5 % c . i . not a significant P=0.67). Based 13.9 t o 27.1) p e r c e n t . difference (t-test on snow t r a c k i n g I am c o n f i d e n t i n t h e s e two a r e a s r a d i o - t a g g e d time Home r a n g e o v e r l a p This -1.0 t o 26.4). sharing overlap at individuals high degree a l l hare d e n s i t i e s , although assumed as estimated (DTD). a of home that lynx are foraging d i d Brand e t a l . (1976). by t h e s t r a i g h t - l i n e d i s t a n c e Effort whenever they Lynx f o r a g i n g travelled I c a l c u l a t e d t h i s by m e a s u r i n g t h e d i s t a n c e L y n x showed no s i g n i f i c a n t c h a n g e i n t h e i r a t snowshoe h a r e d e n s i t i e s a b o v e a b o u t km). range v a r i a t i o n i n degree of effort p e r day days. foraging 1.0 h a r e s / h a are between t h e p o i n t s where an i n d i v i d u a l was l o c a t e d on c o n s e c u t i v e At and low (mean 1 5 . 3 , 9 5 % c . i . o f Snowshoe H a r e Abundance on Lynx F o r a g i n g travelling was indicates two b e t w e e n i n d i v i d u a l s was h i g h . Effect I This data, i n these f o r radio-tagged r a n g e d f r o m 0.0 t o 36.9 p e r c e n t is t h a t I had t h e m o n i t o r e d a t hare d e n s i t i e s between t h e s e extreme h i g h densities during on a r c s i n t r a n s f o r m e d majority of lynx periods. area Home effort (Figure 7 ) . 14.7 h a r e s / h a l y n x mean DTD was 2.7 km ( 9 5 % c . i . A t .1.0 h a r e s / h a l y n x h a d a mean DTD o f 2.4 km 1.8 t o 3.7 ( 9 5 % c.. i . 2.0 t o 2.9 km). Below about DTD rapidly 1.0 h a r e s / h a , h o w e v e r , l y n x with d e c l i n i n g hare d e n s i t y . increase t h e i r mean At hare d e n s i t i e s of 36 F i g u r e 7. Mean s t r a i g h t - l i n e d a i l y t r a v e l d i s t a n c e o f l y n x v e r s u s snowshoe h a r e a b u n d a n c e . Travel distances are t h e mean f o r a l l i n d i v i d u a l s a t t h e i n d i c a t e d h a r e density. V e r t i c a l b a r s i n d i c a t e 95% c o n f i d e n c e l i m i t s of mean. DAILY TRAVEL DISTANCE km/day o o J^" 05 z o :> 0) I > o m 03 0> m > m > 00 c z o > z o m 01 LZ cn CO I 05 • -^i 1 oo 38 0.5 h a r e s / h a , mean DTD was 3.3 km ( 9 5 % c . i . hare d e n s i t y declined DTD i n c r e a s e d is a still sharply t o 5.3 km ( 9 5 % c . i . significantly hares/ha f u r t h e r t o 0.2 larger distance foraging effort with travel distance (Figure hares/ha As mean lynx 3.9 t o 7.2 km). This than that travlled a t 1.0 ( t - t e s t P< 0 . 0 5 ) . A d d i t i o n a l evidence supporting daily 2.8 t o 3.7 km). 8). declining recorded at the idea that lynx increase h a r e a b u n d a n c e i s t h e maximum high and low T h e s e d a t a show t h e same g e n e r a l hare density t r e n d a s do mean DTD. A t 14.7 h a r e s / h a t h e maximum DTD I r e c o r d e d was 5.8 This stayed relatively r e c o r d e d DTD was s t i l l constant 6.3 km. km. t o 1.0 h a r e s / h a when maximum As h a r e densities declined 0.5 and t h e n t o 0.2 h a r e s / h a maximum DTD i n c r e a s e d 14.6 km r e s p e c t i v e l y , s h o w i n g a d e c r e a s e a t e x t r e m e l y to t o 17.5 a n d low hare density. Effect o f Snowshoe H a r e P i s t r i b u t i o n While trying t o capture lynx on L y n x F o r a g i n g f o r radio-tagging, d a t a t o show how t h e y were c o n c e n t r a t i n g i n areas of Patterns I obtained high prey density. Between declined declined 1 and May 10 1982, h a r e d e n s i t y f r o m 14.7 t o 8.4 h a r e s / h a w h i l e from period, 3 lynx nights within and April 2.6 to (Joy, a 0.4 hares/ha hare d e n s i t y (Figure t h e c a p t u r e of another lynx of g r i d A (Table (Charley) on g r i d 2 ) . During S c r u f f a n d S i d ) were c a p t u r e d 1 km r a d i u s on g r i d A B this i n 234 trap- 1 ) . From tracks i n the same area on 39 Figure 8. Maximum o b s e r v e d s t r a i g h t - l i n e t r a v e l d i s t a n c e a l l l y n x i n e a c h 3 month p e r i o d f o r w h i c h home r a n g e s were c a l c u l a t e d . MAXIMUM OBSERVED DAILY TRAVEL DISTANCE KM oi o 01 ro o 41 May . 2 5 , the i t i s believed that a r e a a t t h e same t i m e . four the lynx r e s u l t e d i n no Two h u n d r e d a n d f o r t y Track and transects densites had concentrated hare abundance foraging (Table these grid hare d e n s i t y captures. b o t h g r i d s A and B i n t h e s p r i n g o f 1982, indicated that efforts 5). In lynx after hare sought out and i n areas of r e l a t i v e l y April 1982 when h a r e t r a c k s c r o s s i n g a 600 m t r a n s e c t A t t h e same t i m e , when h a r e d e n s i t y 1.6). Thus, lynx used s i g n i f i c a n t l y more ( G a d j . was 0.8 the area of higher test they were depleted. As h a r e d e n s i t y f r o m 14.7 t o 2.2 h a r e s / h a , 3 o f t h e 4 l y n x the area dispersed. declining In to from Hare d e n s i t y sets (95% c . i . of -0.1 hare abundance hare 1982 when h a r e d e n s i t y abundance on g r i d A d e c l i n e d I had r a d i o - t a g g e d i n the surrounding 1.9 t o 1.4 h a r e s / h a d u r i n g November (95% c . i . P= 0 . 0 0 5 ) . Lynx abandoned t h e a r e a s of r e l a t i v e l y h i g h when of on g r i d B was f r o m 2.7 t o 1.2 h a r e s / h a , t h e mean number o f l y n x t r a c k s c r o s s i n g e a c h 600 m t r a n s e c t to was 5.0 high density sets of lynx declining B on t h e g r i d h a d 14.7 t o 9.5 h a r e s / h a on g r i d A, t h e mean number t o 9.3). in i n t h e area of g r i d A dropped from 0.7 2 captures. the e a r l y winter declined, also their on 1.8 h a r e s / h a , r e s u l t e d i n no through through g r i d A during of o f 1 l y n x p e r 7.3 km s i x trap-nights i n O c t o b e r a n d November 1982, a f t e r to approximately utilizing Subsequent r a d i o - t r a c k i n g An e q u a l number o f t r a p - n i g h t s t h e same p e r i o d declined l y n x were a l s o i n d i c a t e d a minimum d e n s i t y a r e a o f g r i d A. during two o t h e r this areas in was period. on g r i d A had d e c l i n e d 1.8 h a r e s / h a , t h e mean number o f s e t s o f l y n x tracks per 600 42 T a b l e 5. E f f e c t o f r e l a t i v e snowshoe h a r e a b u n d a n c e on l y n x foraging patterns. *' and * indicate a significant d i f f e r e n c e (Gadj. T e s t P= 0 . 0 0 5 ) . TN i n d i c a t e s t h e t o t a l number of t r a p - n i g h t s o f e f f o r t . 2 43 Grid Hare d e n s i t y (hares/Ha) Number o f l y n x c a u g h t / 1 00 trap-nights Sets of lynx t r a c k s / 6 0 0 meter transect (mean & 9 5 % c.i.) A April/82 14.7 B April/82 2.6 0.0 (234 TN) 0.8 (-0.1 *i A Nov./82 1 .8 0.0 (246 TN) 1.2 ( 0 . 0 t o 2.3) 1 .3 (234 TN) 5.0 ( 0 . 7 t o 9.3) * 1 * 2 * 2 t o 1.6 44 m transect declined significant reduction decline A p r i l and (Gadj. in u t i l i z a t i o n d i f f e r e n c e i n the second area old Alaska 1983 of test,P= intensity t o 2.3). is a following the 0.005). densities Highway. Five t h a t n o t e d on lynx 15 km T h e r e was no of g r i d B i n were similar n o t e d between. J u l y of g r i d 19.8 As km . 2 of different. The second was not d e g r e e o f home r a n g e o v e r l a p generally Unfortunately, concentration higher I do not than noted have d a t a in elsewhere on on the area of 99 i s lower p r e v i o u s l y mentioned, the this area along This density for individuals residing second A resided within a total 1 l y n x per g r i d A. SE was of home r a n g e o v e r l a p was This of l y n x use lynx concentration approximately f o r a d e n s i t y of than 0.0 of t h e a r e a g r i d A i n November when h a r e September 2 (95% c . i . t e s t P>0.05). A km 1.1 i n hare abundance (Gadj. significant and to degree grid A and significantly these in 2 the hare d i s t r i b u t i o n areas study. in this area. L y n x P i s p e r s a l and M o r t a l i t y during a Pecline i n Snowshoe H a r e Abundance Puring survived the study only f o r 1 y e a r o r more and 3 of the of of 1984 7 lynx. (Table One radio-tagged remained w i t h i n the D i s p e r s a l o r human r e l a t e d m o r t a l i t y were loss 11 study responsible lynx area. for l y n x d i e d of n a t u r a l c a u s e s i n the the spring 2). Between A p r i l and November 1982, I radio-tagged 7 lynx. By 45 April, 1983, o n l y 2 were s t i l l study area. and residing being trappers 9). (Figure g r i d A between A p r i l residency trapped and killed A l l 3 of these 4 and May times months r e s p e c t i v e l y . the These professional individuals o f 35 d a y s , One o f t h e f e m a l e s period significantly density on the and grid mid-December 40 d a y s a n d 7 ( J o y ) was at was declining i n mid-December approximately her home She dispersed km o f t h e a r e a where C h a r l e y was Joy, months before i n NE A l a s k a . from Joy being, Charley the area was in near 5 km SE o f study i n mid-November killed Pelly area in within 50 Crossing, C h a r l e y a n d S c r u f f h a d minimum d i s p e r s a l r a t e s o f 1.7 a n d 8.3 km/day r e s p e c t i v e l y travel. hare (Figure 2). range t o a p p r o x i m a t e l y was t r a p p e d a n d k i l l e d line 2 1982. moved by 8 but 250 km N o f t h e s t u d y October. covered rapidly next 1982 ' a n d 3.8, least 1 year o l d . surrounding areas grid A in July Yukon. had J o y and C h a r l e y d i s p e r s e d , g r i d A had 700 km i n t h e killed t r a p p e d and k i l l e d Scruff when h i g h e r d e n s i t i e s than t r a v e l l e d at least captured the l y n x were r a d i o - t a g g e d on 25 1982. i n the area by y e a r s o l d and t h e o t h e r 2 i n d i v i d u a l s were a t l e a s t During within Three of t h e 7 ( J o y , C h a r l e y and S c r u f f ) d i s p e r s e d 250-700 km b e f o r e minimum alive these lynx i n the time A l l dispersals to taken, travel the i f I assume distances straight- from t h e s t u d y a r e a o c c u r r e d d u r i n g t h e s n o w - f r e e p e r i o d f r o m May t o O c t o b e r . Two a d d i t i o n a l killed the within winter l y n x ( S i d and S c o t t i e ) were a l s o t r a p p e d and 10 km o f t h e i r of 1982-83. original A l l 5 radio-tagging site during l y n x were t r a p p e d w i t h i n 2.5 46 Figure 9. Map o f l o n g d i s t a n c e d i s p e r s a l s u n d e r t a k e n by lynx. Star indicates i n i t i a l radio-tagging s i t e f o r all individuals. X,,^and X j i n d i c a t e s i t e s where C h a r l i e and S c r u f f a n d J o y r e s p e c t i v e l y were t r a p p e d and killed. See T a b l e 2 a n d t e x t f o r d a t e o f i n i t i a l r a d i o - t a g g i n g , d a t e k i l l e d and d i s p e r s a l r a t e s . 48 months o f t h e s t a r t o f t r a p p i n g s e a s o n . my radio- tagged p o p u l a t i o n a n d 100% o f t h e a n i m a l s t h e game s a n c t u a r y . in the present Kluane The 2 l y n x Game Sanctuary late 1983, 4 within the d i s t a n c e d i s p e r s a l , of the remained 1982 were still game additional sanctuary. type observed lynx I observed the were no l o n g preceding year r a p i d d e c l i n e i n snowshoe h a r e a b u n d a n c e . During were t r a p p e d the w i n t e r o f 1983-84, 2 o f my 6 r a d i o - t a g g e d a n d k i l l e d w i t h i n 10 km o f This represents lynx Haines their 3 3 % o f my r a d i o - t a g g e d o f t h e l y n x known t o h a v e t r a v e l l e d One fall left the following spring. radio-tagged site. in 71% of that (Jean and C a r l o s ) t h a t Between J u l y a n d S e p t e m b e r during This represents initial lynx capture p o p u l a t i o n a n d 50% o u t s i d e t h e game sanctuary. (Rene) s t a r v e d a n d was f o u n d d e a d i n J u n e 1984 n o r t h o f Junction, 35 c a r c a s s was e x t r e m e l y km e a s t of h e r i n i t i a l emaciated, and I capture believe site. she The starved during the winter. Trapping in this to travel was r e s p o n s i b l e f o r 7 o f 8 d e a t h s o f l y n x study. Furthermore, only 2 of the 9 i n d i v i d u a l s o u t s i d e t h e game s a n c t u a r y were n o t t r a p p e d . observed during the trapping known season 49 DISCUSSION The results behaviorally following to of this declining sections I indicate- that snowshoe will responses i n the lynx's energetic study hare discuss efforts lynx abundance. respond In the the e f f e c t i v e n e s s of these to continue to fulfill i t s needs as h a r e abundance d e c l i n e s . L y n x Home Range S i z e Mean home f o l d concurrent 14.7 to size f o r lynx with a decline about completely range range 0.2 hares/ha. in this i n snowshoe h a r e This increase contrast snowshoe unclear the hare to t h i s study, 3 from was s u f f i c i e n t t o Brand e t a l . density. technique lynxes reason used t o assess "(1) errors by restricted and home tracks technique are from to winter, sexes of the study to (3) t h e area animals either a f u n c t i o n of day, The work o f snow identifying (2) of search often cannot or differences h a v e been p o i n t e d in lynx difference i s home r a n g e s i z e . possible day ( 1 9 7 6 ) f o u n d no for this (1976) was c o n d u c t e d u s i n g w i n t e r l i m i t a t i o n s of t h i s (1980): The b u t may be a t l e a s t p a r t i a l l y Brand e t a l . the abundance o v e r s h a d o w any e f f e c t o f s e x , a g e , o r s e a s o n on r e l a t i o n s h i p between l y n x home r a n g e s i z e The increased size. In in study tracking. o u t by Mech individual observations are i s l i m i t e d , and (4) be determined". 50 Points 1 a n d 3 may be r e s p o n s i b l e home range that the f o r t h e l a c k o f an i n c r e a s e i n s i z e f o u n d by B r a n d e t a l . expansion unmonitored areas of individual went lynx undetected. i t s home r a n g e i n t o t h e r a n g e o f (1976). I t i s possible home ranges I f an i n d i v i d u a l another, this into expanded expansion may have gone u n d e t e c t e d b e c a u s e o f m i s i d e n t i f i c a t i o n o f t h e t r a c k s . Brand e t a l . sampling probably of a l s o s t a t e d t h a t home r a n g e s i z e was a f u n c t i o n o f intensity, have c o n t i n u e d home ranges to increase variation for lynx technical differences f a c t o r i s food i n previous Brand e t a l . their study additional high would kilometers p e r i o d of reported home rapid lynx that the Home r a n g e s i z e s reported 20.7 km limited 2 ranges of home Carbyn between in hare and (1963b) by during span f r o m t h e s m a l l e s t 2 (1983) during a Mech (1980), and suggested f o rthe large H i s estimates a r e based snow t r a c k i n g w h i c h may n o t h a v e been Rene l y n x home Patriquin abundance. 2 i n areas that home f o u n d l y n x home r a n g e s b e t w e e n 15.5 t o d e l i n e a t e t h e e n t i r e home r a n g e s . covered working 138 a n d 221 km r a n g e s o f 51 t o 243 km a t low hare d e n s i t i e s . winter magnitude. snowshoe h a r e a b u n d a n c e , r e p o r t e d increase Saunders of (1983), p r e y a b u n d a n c e may h a v e been r e s p o n s i b l e ranges. some o f t h e f o rlynx, I feel et a l . 2 lynx explain s t u d i e s s p a n o v e r an o r d e r (1976) and P a r k e r relatively found may abundance. r a n g e s b e t w e e n 7.9 a n d 49.5 k m . and with i n home r a n g e s i z e s r e p o r t e d over-riding low in snow-tracking. Although of and If I include on sufficient the area t h e summer o f 1983, my 9 0 % home r a n g e s to the largest previously reported. 51 The size concept of i n c r e a s i n g with declining h a s been d i s c u s s e d 1978, Harestad among o t h e r s ) . has come 1976, or food abundance i s i n t u i t i v e l y i n theoretical and Bunnell Field home Simon t e r m s by s e v e r a l a u t h o r s 1979, H i x o n ( AHaber mammals Northcote 1974). obviously not effort, individuals (see D i l l , home range Although increase 1976) a n d f i s h increasing foraging home (Slaney and range size resources r a n g e w o u l d n o t be d e p l e t e d a s r a p i d l y . evident A i n May 1982 h a d a mean home r a n g e s i z e o f 13.2 k m . f r o m my d a t a . uniform hare d e n s i t y contain throughout t h e a r e a each about 19,400 h a r e s . t h i s home r a n g e a n d r e q u i r e d this with hare p o p u l a t i o n would the 4 lynx density would them l y n x home r a n g e s a t t h i s immediate decline lynx needs. Assuming i n the hare p o p u l a t i o n 25.1 km 2 At the of 58.8 y e a r s . time were 2 27 years. range 106 y e a r s . 29.2 km Even this 2 hare I t t h e r e f o r e seems t h a t well in i t seems excess of unlikely their that the i n t h i s a r e a c a n be a t t r i b u t e d t o hares/ha when lynx home s t a n d i n g c r o p of hares w i t h i n range, a g a i n assuming e x c l u s i v e use, would lynx home f o r maintenance, the lynx over area Furthermore, predation alone. averaged last grid I f a lynx had e x c l u s i v e use 0.5 h a r e s / d a y sharing a t o t a l last lynx the This The 4 l y n x u s i n g t h e a r e a a r o u n d 2 would would within is of 1968 f o r success i n terms of c a t c h per i t w o u l d mean t h a t t h e f o o d home size (Krekorian 1978 a n d S c h o e n e r , et a l . (Dill 1980, a n d McNab 1963 evidence f o r increasing 1975), b i r d s range r e a s o n a b l e and from such wide r a n g i n g systems as r e p t l i e s reviews), unit feeding t e r r i t o r y last A t - 0.5 h a r e s / h a t h e e x i s t i n g ranges i t s home an individual hare population 52 w i t h i n t h e a v e r a g e l y n x home r a n g e o f 39.2 km 10.7 years. still f u r t h e r and within Overlapping the t h e 99.0 km home r a n g e s w o u l d d e c r e a s e hare shared 2 population them o n l y a b o u t 5.4 y e a r s . that increase in d e c l i n i n g hare abundance constant hare size lynx home was survive that lynx totally deplete are their sufficiently home range. Prey have t o e x p e n d more e f f o r t response not home r a n g e . a These that predators lynx It to directly to prey As p r e y a b u n d a n c e d e c l i n e s t h e of i n e q u i v a l e n t prey to find and capture a l y n x ' s home r a n g e s i z e i n assumes hares w i t h i n t h e l y n x ' s home r a n g e . and that other no availability also relatively h i g h prey If prey were seemed I noted also to i n this important concentrate i s not uniform e x p a n d i n g i t s home r a n g e , home r a n g e . lynx. It study that p r e d a t o r s on i n areas of abundance. distribution the chance of having f o r the o t h e r p r e d a t o r s a r e h a r v e s t i n g snowshoe mammals snowshoe h a r e s , a n d a l s o by maintain t o a h a l v i n g o f snowshoe h a r e a b u n d a n c e w o u l d t h e r e f o r e result raptors to abundance w i t h i n a extrapolated doubling i n response t o efficient predator w i l l A show w i t h i n i t s home r a n g e . f o r the predator. item. time recruitment) t h e amount o f t i m e availability prey size sufficient existing p r e d a t o r s home r a n g e c a n n o t be each this calculations population within their on t h e h a r e s assumes These range not estimates obviously over-estimate could (without about by 5 r e s i d e n t s i n t h e summer o f 1983 would l a s t the would l a s t 2 w i t h i n the environment, the individual would a l s o i n c r e a s e r e l a t i v e l y good p a t c h e s of prey w i t h i n i t s T h i s w o u l d be e s p e c i a l l y important t o a lynx during 53 a snowshoe hare decline concentrated within will be Three hare remaining i n the l a t e r hares (1980). are This s e c t i o n on p a t c h by l y n x . l y n x a b a n d o n e d t h e i r home r a n g e s a n d densities below about 0.5 h a r e s / h a . h a v e been r e p o r t e d f o r o t h e r f e l i d s . found few r e f u g i a a s s u g g e s t e d by W o l f f d i s c u s s e d i n more d e t a i l utilization at i f the Hanby t h a t t h e number o f n o m a d i c f e m a l e became nomadic Similar patterns and Bygott (1979) l i o n s wandering through t h e s u b o p t i m a l h a b i t a t o f t h e S e r e n g e t i P l a i n s d e c l i n e d a n d some o f t h e s e p r e v i o u s l y nomadic f e m a l e s became abundance defended increased. territories Bailey during resident prey abundance periods of prey well f o rlynx. He s u g g e s t e d not be seek out patches of r e l a t i v e l y have good fulfill their out widely 0.5 h a r e s / h a , l y n x may e n e r g e t i c r e q u i r e m e n t s a n d must h i g h prey abundance. i n f o r m a t i o n on t h e s p a t i a l a n d t e m p o r a l snowshoe h a r e s that These arguments h o l d e q u a l l y At d e n s i t i e s below about to also i s u n p r e d i c t a b l e , o r v e r y l o w , i t w o u l d be c o n c e n t r a t i o n s of prey. able that abundance a d a p t i v e f o r b o b c a t s t o become t r a n s i e n t a n d s e a r c h seperated prey (1981) r e p o r t e d t h a t b o b c a t s became n o m a d i c a f t e r p r e y a b u n d a n c e d e c l i n e d . if when i n my a r e a b u t i f t h e r e f u g i a a r e I do n o t distribution widely spaced i t may be n e c e s s a r y f o r l y n x t o wander g r e a t d i s t a n c e s i n s e a r c h of and them. Mean home r a n g e o v e r l a p f o r l y n x exceeded 10.5% b o t h between throughout Further, absolute sexes this snowshoe h a r e d e n s i t y h a d no e f f e c t overlap between lynx. The study. on t h e d e g r e e degree of o f home home r a n g e within range overlap at 54 extreme h i g h and low hare significantly densities this (1968) proportional to individuals. suggested that t e r r i t o r i a l i t y the Bailey degree of (1974) found b o b c a t s o v e r l a p p e d 0.1 a n d 2.0 with females home range the percent respectively. The evidence that exclusiveness of Nellis (1972) et a l . time and space. overlap lynx home males, h i g h degree o f home in this is during abundance. trend in the relative ranges w i t h i n and between s e x e s . r e p o r t e d t h a t l y n x t e n d t o be s e p a r a t e d i n Brand e t a l . space, but p r o b a b l y does mechanism". study at least (1976) reiterated this " avoidance behavior appears t o separate lynx limiting between with lynx a r e not t e r r i t o r i a l P r e v i o u s s t u d i e s show no c o n s i s t e n t and not i s inversely f o r male p e r i o d o f d e c l i n e a n d l o w snowshoe h a r e that were home r a n g e s o f t e r r i t o r i a l range o v e r l a p w i t h i n and between a l l sexes strong study different. Schoener females in Berrie not act (1974) locally found t h a t stating i n both time as a density- female lynx were " l e s s t o l e r a n t o f e a c h o t h e r t h a n were m a l e s " . In h i s study the home r a n g e s other neighbouring Mech ( 1 9 8 0 ) those of males reported that of males d i d not. (1983) with each and with f e m a l e s w h i l e f e m a l e home r a n g e s d i d n o t o v e r l a p . also overlapped l i t t l e reported f e m a l e home ranges overlapped while I n h i s s t u d y , home r a n g e s o f m a l e w i t h those of females. extensive a d u l t male and female two overlapped overlap i n h i sstudy. in Parker lynx et a l . t h e home r a n g e s o f t h e The home ranges a d u l t s d i d not o v e r l a p w i t h that of a j u v e n i l e he p r e s u m e d t o t o be t h e o f f s p r i n g o f h i s a d u l t of female female. these which Carbyn 55 and Patriquin (1983) f o u n d t h e home r a n g e s o f two f e m a l e s k i t t e n s overlapped b u t i t was u n c e r t a i n w h e t h e r t h e of t h e m a l e i n t h e i r The was lynx i spuzzling. population not monitored. overlapped cases. overlapped w i t h i n the study a function distribution of A of environmental v a r i a b l e s . degrees of tolerated. might home areas of these range of reported which second I f any b e h a v i o r a l populations, factors such i ti seasily as utilization studies within these spacing over-ridden would i s that function conditions and of the subtle different between s e x e s i s enironmental factors from a review of past mechanism exists by p r o x i m a t e snowshoe h a r e d i s t r i b u t i o n by l y n x ) . some animals i n the population various what in i n the l i t e r a t u r e is a overlap lynx possibility lynx Under No i n d i c a t i o n o f monitored be o r how t h e y m i g h t a c t i s e v i d e n t studies. patch those of o v e r l a p h a p p e n e d t o be m o n i t o r e d . spatial i s that the The home r a n g e s o f u n m o n i t o r e d l y n x may have The p a t t e r n s be i n t h e d e g r e e o f l y n x home One p o s s i b l e e x p l a n a t i o n extensively with therefore range with that of the females. l a c k of a c o n s i s t e n t p a t t e r n range o v e r l a p total study home with in lynx environmental (seed i s c u s s i o n of 56 Effect of Snowshoe H a r e Abundance on Lynx F o r a g i n g Lynx travel i n t h i s study distance f r o m 2.7 km/day at (1968), Brand et a l . (1983) a l l f o u n d no and low hare the d i s t a n c e N e l l i s and winter daily daily travel that lynx km/day a t density. (1976), high In Keith a hare (1981) and ( 1 9 6 8 ) and per distance daily and of lynx negative hunting travel through (1968), distance was kills/km. hunting and et al. success, et a l . and concurred ( 1 9 7 6 ) and therefore snow c o n d i t i o n s and (1981) daily attempt, with N e l l i s daily distance, did not increase t h e i r DTD signi-f-icantly with h a r e a b u n d a n c e i n summer, when snow affecting Further, distance kills hunting i s an per day success. inverse and conditions if f u n c t i o n of h u n t i n g (Brand et a l . 1976, is a declining not daily success i n Parker that hares/ha could (1) of skills. I f o u n d , h o w e v e r , t h a t a t h a r e d e n s i t i e s a b o v e 1.0 lynx and travel (1981) s u g g e s t hunting 8 found, success i n terms travel individual found He per that Parker lynx at about winter. kills (1976) markedly between remained constant He that Brand et a l . Parker i n t e r m s of winter. Brand al. (1976) f o u n d correlation p r i m a r i l y a f u n c t i o n of h u n t i n g Brand f u n c t i o n of the Keith et fluctuated success. distance success, 5.3 day. i n d e p e n d e n t of h a r e a b u n d a n c e . however, t h a t h u n t i n g Keith Parker Brand et a l . (DTD) significant to b e t w e e n snowshoe h a r e a b u n d a n c e km/day as h a r e a b u n d a n c e d e c l i n e d t h r o u g h one increased density daily c o n t r a s t , N e l l i s and Parker correlation travel distances found t h e i r mean s t r a i g h t - l i n e that lynx t r a v e l l e d from year to y e a r , (1976) increased Effort be travel terms 1 9 8 1 ) , (2) of there 57 is no r e l a t i o n s h i p between k i l l s (Brand et al. 1 9 7 6 ) , and per travel fulfill studies increased 1.0 hares/ha. and Keith nights (1968) only c o u l d be dramatic instances where l y n x et a l . a l l Parker increase My in effort to lynx et a l . higher.^ their distances, In any foraging effort be it data that was event, on not travelled occurs 0.7 consecutive I t may total distance r e s u l t s a b o v e 0.5 The (1983), or "beds u s e d on long omitted. showed seasons. to c o l l e c t the and most at very low hares/ha t h e r e f o r e are in agreement w i t h t h o s e of Brand e t a l . ( 1983) . lynx hare d e n s i t i e s below established with c e r t a i n t y " . were t h e r e f o r e hare d e n s i t i e s . general 1976), hares/ha at f o r them t o e s t a b l i s h t h e these data 0.7 snow-tracking d a y s when l y n x t r a v e l l e d u n u s a l l y possible in (1976) and worked They u s e d w i n t e r reported travelled h a r e s / h a , however, lynx in foraging effort of both Brand et a l . and km (Brand et a l . were c o n d u c t e d a t h a r e d e n s i t i e s of Nellis per density requirements. h a r e d e n s i t i e s of a dramatic hare f u r t h e r as h a r e a b u n d a n c e d e c l i n e s i n an their energetic Below and (3) a t t e m p t e d k i l l s d e c l i n e with d e c l i n i n g hare density should attempt ( 1 9 7 6 ) and Parker 58 I c a l c u l a t e d expected t o t a l d a i l y at d i f f e r e n t hare d e n s i t i e s u s i n g the travel distances ^energy lynx equation: maintenance expected for level requirement. daily travel Y di regression stance i n t e r c e p t of for data from parameter line per of attack regression contrast found that lynx t h i s higher doubling rate al. (1976) I of the at following line = hares/day 17.5 ( p r o p o r t i o n of to successful attacks) Brand et a l . ( l 9 7 6 ) , an average of r a t e i n the 1 hare per above e q u a t i o n expected d a i l y travel average i n d i v i d u a l would a g a i n Parker tend .23 et a l . (1983) Substituting would result distances. Parker hunting to day. = in (1981) s u c c e s s r a t e of increase the a expected 17%. daily distances. Using daily an lower value travel set l i n e = 0.075 kill kill also reported This success values; success rate In X _ et i n t e r c e p t of r e g r e s s i o n slope density X m a i n t e n a n c e l e v e l e n e r g y r e q u i r e m e n t = 0.5 Y attack hare line km Brand of regression attempted kills Using slope a range of h a r e abundances travel distance curve shown a s I derived the line A in Figure expected 10. From 59 Figure 10. O b s e r v e d and e x p e c t e d t o t a l d a i l y t r a v e l d i s t a n c e s f o r l y n x v e r s u s snowshoe h a r e a b u n d a n c e . d e r i v a t i o n o f l i n e s A, B and C s e e t e x t . For EXPECTED TOTAL DAILY T R A V E L DISTANCE (KM) 61 N e l l i s and K e i t h daily travel (1968) and S a u n d e r s (1963b) I c a l c u l a t e d distance r a t i o s o f 3.0 and straight-line 1.9 to straight-line daily respectively. daily values, to estimate t o t a l daily plotted in Figure travel distance I therefore t r a v e l d i s t a n c e s by 2.5, multiplied t h e mean o f travel distance. my to mimic my 10. data accurately. under-estimated abundances and at Daily very above (1976). Although line unreasonable. suggests the correlation are low slope parameters coefficient hare Y intercept considerably to attempt reasonable the r e g r e s s i o n or i n t e r s e c t the x - a x i s near the lines can in (Fig. 11); a s t r a i g h t line their biologically higher than zero to k i l l hares long to k i l l . Clearly origin. Two (Holling the their data to a Both r e s u l t in a s l o p e f o r t h e r e g r e s s i o n l i n e a t low h a r e d e n s i t i e s . The type I I f u n c t i o n a l response curve s l o p e a t h i g h hare densities. also 1959). be possible r e g r e s s i o n or a c u r v e s i m i l a r response to l i n e must r u n t h r o u g h drawn t h r o u g h t h e o r i g i n t o i n t e r s e c t functional used for 2 origin II very i s good,(r =0.91) these values are A be distances and that lynx are c o n t i n u i n g to attempt biologically larger similar a r e d e r i v e d from F i g u r e 2 of Brand e t a l . t h e r e a r e no h a r e s l e f t type is over-estimated at intermediate d e n s i t i e s . equation regression travel high E s t i m a t e s f o r t h e Y i n t e r c e p t and after also o b s e r v e d v a l u e s , t h e i n f l e c t i o n p o i n t i s n o t s h a r p enough therefore the my these These a r e A l t h o u g h the curve through the expected v a l u e s to total results in a smaller L i n e B o f F i g u r e 10 shows p r e d i c t e d v a l u e s f o r t h e straight 62 Figure 11. R e p r o d u c t i o n o f F i g u r e 2, B r a n d and K e i t h ( 1 9 7 9 ) , w i t h 2 a d d i t i o n a l r e g r e s s i o n l i n e s added. Line A i s t h e o r i g i n a l r e g r e s s i o n l i n e p r e s e n t e d by B r a n d and K e i t h (1979). L i n e s B and C a r e a l t e r n a t i v e , more b i o l o g i c a l l y reasonable r e g r e s s i o n s p a s s i n g through the origin. See t e x t f o r e x p l a n a t i o n and j u s t i f i c a t i o n o f l i n e B and C. 63 B 100 200 300 400 500 S N O W S H O E HARES/100 Ha of HABITAT (1 DECEMBER) 64 line regression through the o r i g i n (line B Fig. 11) u s i n g t h e above e q u a t i o n w i t h a Y i n t e r c e p t o f z e r o and a s l o p e of The resulting r v a l u e o f 0.11 f o r t h i s 2 t h a t o f 0.91 r e p o r t e d by B r a n d more b i o l o g i c a l l y The inflection too high a p o i n t of the r e s u l t i n g hare e s t i m a t e s i t a t high hare I therefore plotted fit on log-log at the data through than 0.91 r e p o r t e d by B r a n d this line value i s again the o r i g i n . functional from data, occurs l i n e a l s o g r o s s l y over- hare densities and under- from F i g u r e 2 of Brand for this line et a l . biologically et a l . (line i s 0.87, o n l y (1976). reasonable (Holling, (Krebs C, slightly Furthermore, because i t goes T h i s i s a l s o t h e g e n e r a l form o f response vertebrate predators intercept however, ( l i n e B, F i g . t h e i r data t o the o r i g i n lower II is densities. The 2 line the observed This low Fig.11). through It than s c a l e , t h e e q u i v a l e n t of c a l c u l a t i n g a best h y p e r b o l i c curve r resembling density. estimates t r a v e l distance (1976) (1976) i s f a rless reasonable. 1 0 ) , a l t h o u g h more c l o s e l y at et a l . line 0.13. the type 1959) t h a t i s common f o r many 1978). Using the slope t h i s t r a n s f o r m a t i o n we a g a i n c a l c u l a t e d t r a v e l d i s t a n c e s w i t h t h e above e q u a t i o n . and Y expected These a r e p l o t t e d as l i n e C on f i g u r e 10. Although this line slightly over-estimates d a i l y d i s t a n c e a t low d e n s i t i e s and u n d e r - e s t i m a t e s at extremely correct data high hare travel that the distances d e n s i t e s , the i n f l e c t i o n point i s the f o r m a n d o c c u r s a t t h e r i g h t p o i n t t o m i m i c my so travel f i t of t h i s l i n e observed i s s u r p r i s i n g l y good. The 65 slight may over-estimation be due not be to meet result hare able of t r a v e l d i s t a n c e t o p h y s i o l o g i c a l c o n s t r a i n t s on to t r a v e l their f a r enough p e r energetic densities. The sample requirements evidence first data of t h e day. no et a l . apparent above the 1.0 densities. Parker hares/ha, lynx be they 1.0 of to continue to f u l f i l l i n t u r n , would lynx at low continuing their al. et t o e x p l a i n why foraging effort be to found increase their that energetic my accord. (1976) and there is to d r a m a t i c a l l y at is the at hare d e n s i t i e s extrapolated increases the al. at energetic (1983) in strong Brand cannot h a r e / h a but densities demonstrates (1976) are Lynx f o r a g i n g e f f o r t may travel distance after et Lynx hare to lynx also sufficient in lynx lynx. This, of densities t o t r a v e l a f t e r consuming T h i s model explanations increase d e n s i t i e s below for met. (1983) may due environment t h o s e of B r a n d e t a l . Although Parker been be that lynx often continue kill and have the a t low under-estimation the hare body c o n d i t i o n of e x t r e m e l y h i g h h a r e d e n s i t i e s may and day requirements. i n the d e c l i n e i n general travel a t low not lower hare sufficient requirements. 66 Effect o f Snowshoe H a r e D i s t r i b u t i o n If prey environment are not i t will concentrate its uniformly always on L y n x F o r a g i n g P a t t e r n s distributed be t o t h e a d v a n t a g e foraging efforts h i g h p r e y abundance (Krebs 1978). i n t h e p a t c h e s of This w i l l t h e s u r r o u n d i n g a r e a s i n c r e a s e s and the predator to f u l f i l l the of a p r e d a t o r become i m p o r t a n t as the r e l a t i v e d i f f e r e n c e between and throughout the to relatively increasingly good patches i t becomes d i f f i c u l t for i t s e n e r g e t i c requirements o u t s i d e the good p a t c h e s . I do n o t h a v e good d a t a on t h e p a t c h i n e s s o f snowshoe distribution Wolff but i f the system is similiar ( 1 9 8 0 ) snowshoe h a r e d i s t r i b u t i o n clumped. period Wolff of retreat (1980) s u g g e s t e d their into ten year patches optimal then and t h e s e good p a t c h e s . In t h i s indicating efforts i t would trapping hare abundance. different snowshoe habitat. been Second, It would lynx ' density was track lines of transects lynx out evidence foraging First, through my high areas of i n d i c a t e d t h a t l y n x used a r e a s of than higher within h i g h prey abundance than e l s e w h e r e that seem h i g h e r i n an a r e a o f r e l a t i v e l y hare abundance a l s o low hare p o p u l a t i o n s seek o u t and c o n c e n t r a t e t h e i r s u c c e s s was very be a d a p t i v e f o r l y n x t o s e e k h i g h h a r e a b u n d a n c e more i n t e n s i v e l y found have i n p a t c h e s o f h i g h snowshoe h a r e a b u n d a n c e . lynx Third, should study I found t h r e e independent t h a t l y n x do t o t h a t d e s c r i b e d by t h a t d u r i n g t h e d e c l i n e and cycle, reasonable utilize that of hare in surrounding t h e p a t c h of the study. areas. relatively Further, I a b a n d o n e d t h e s e good p a t c h e s when t h e y became 67 depleted. O t h e r s have a l s o found t h a t lynx tend to p a t c h e s of r e l a t i v e l y h i g h prey abundance. state t h a t one o f t h e t h r e e concentrate during their cyclic Saunders efforts Koehler tend after et a l . that increase suggested, supports degree the of densities distribution density, food (1974), that lynx abundance. below hare cannot 0.5 out of population meet their hares/ha, hare d e n s i t y has l i t t l e of lynx, but effect relative prey o f d i s t r i b u t i o n ) may p l a y a l a r g e r o l e of l y n x . The h i g h found between t h e 4 l y n x d u r i n g Although i n the area as this* idea. aggregation was a f u n c t i o n o f t h e i r abundance. lynx spatial distribution o f home r a n g e o v e r l a p prey hare snowshoe That above, a b s o l u t e (patchiness determining 1982 Berrie then of l y n x t h r o u g h t h e low o f the phase. previously As d i s c u s s e d at of needs abundance and and t h a t t h e e x p a n s i o n o f t h e lynx p o p u l a t i o n the the numbers high this. i n an a r e a o f (1971) a l s o n o t e f o rthe survival energetic on especially f u r t h e r s u g g e s t e d t h a t r e f u g i a f o r snowshoe these r e f u g i a followed during a p e r i o d of low hare i n areas of r e l a t i v e l y (1974) cycle lynx concentrated (1979) a n d B e r g e r u d h a r e were i m p o r t a n t the that (1976) He d i d n o t q u a n t i f y t h e c a r r i o n became u n a v a i l a b l e . to concentrate Berrie i n areas of hare a c t i v i t y , reported abundant c a r r i o n d u r i n g Brand e t a l . in methods u s e d by l y n x was t o lows i n hare abundance. (1963a) dispersed hunting concentrate sharing I a patch do degree April-June of r e l a t i v e l y have data high on prey o f l y n x home r a n g e o v e r l a p a t l o w hare i t i s p o s s i b l e that t h i s area not in a l s o had r e l a t i v e l y high 6B prey of abundance. relative extensively overlap L y n x home r a n g e o v e r l a p may t h e n prey abundance. i n areas i n areas Lynx of r e l a t i v e l y of high relatively also explain the large variation home be a ranges prey low prey o v e r l a p than elsewhere may density density. overlap and not This i n d e g r e e o f home r a n g e between l y n x a t i n t e r m e d i a t e hare d e n s i t i e s i n t h i s d e n s i t y was a l s o h i g h e r function i n t h e two. a r e a s of might overlap study. Lynx home range high i n the study. Lynx P i s p e r s a l and M o r t a l i t y P u r i n g t h e p e r i o d o f r a p i d d e c l i n e i n snowshoe h a r e numbers (January through radio-tagged trapped by Pecember 1982) d i s p e r s e d between professional 3 250 of and trappers. t h e 7 l y n x t h a t I had 700 km Other d i s p e r s a l s by l y n x o f f r o m 103 t o a p p r o x i m a t e l y reported elsewhwhere by other researchers N e l l i s a n d Wetmore 1 9 6 9 , Mech 1977, P. These d i s p e r s a l s are normally before long being distance 800 km h a v e been (Saunders Brittel pers. 1963b, comm.). a s s o c i a t e d w i t h t h e d e c l i n e phase o f t h e snowshoe h a r e c y c l e a n d l y n x h a v e been r e p o r t e d t o i n v a d e areas w e l l south Gunderson of t h e i r 1978). normal range T h i s and other ( Adams 1963, Mech 1973, s t u d i e s have shown t h a t a d u l t s as w e l l a s j u v e n i l e s u n d e r t a k e s u c h l o n g movements. The t h r e e d i s p e r s e r s i n my s t u d y line travel distances similar for resident once t h e s e lynx animals h a d minimum d a i l y t o or l a r g e r than d u r i n g t h e same p e r i o d . abandoned t h e i r home those straight recorded This suggests ranges they that d i d not 69 resettle It i n other is areas. interesting movements r e c o r d e d decline in in snowshoe s t a b l i z e d a t a low expanded their remained within represents a to that this study hare numbers. level, home note (below a l l the long occurred during small about 1.0 hares/ha.) general change in the study area. response s i z e i s not c l e a r . c h a n g i n g and u n f a m i l a r been s e e k i n g the past. level of occurrence I t m i g h t be t h a t conditions similar conditions. the lynx a b u n d a n c e t h e y may this lynx to d i f f e r e n t a due the long response T h e s e l y n x may acclimated to this new h a v e been l e s s i n c l i n e d at level a to have t o t h o s e t h e y had e x p e r i e n c e d Once p r e y a b u n d a n c e became s t a b l e a g a i n and lynx Whether d i s t a n c e movements e x h i b i t e d by t h e s e l y n x were rapidly rapid r a n g e d r a m a t i c a l l y , o r became n o m a d i c b u t the sample the A f t e r h a r e d e n s i t i e s had environmental c o n d i t i o n s , or i s merely a chance to distance in lower of resource towards such dramatic movements. Man was t h e s i n g l e most in t h i s study. known to m o r t a l i t y factor f o r lynx P r o f e s s i o n a l t r a p p i n g was of o b s e r v e d d e a t h s . were important responsible Only 2 of 9 r a d i o - t a g g e d travel outside trapped; most were t r a p p e d trapping season. individuals w i t h i n 2.5 m o n t h s o f t h e b e g i n n i n g One o f t h e 2 a n i m a l s mortality found 65% studies rates i n lynx of a local have that K l u a n e Game S a n c t u a r y were n o t that were (Rene) d i e d o f n a t u r a l c a u s e s a n d p r e s u m a b l y Other f o r 7 of 8 also reported populations. lynx population trapped starved. high Parker was not of et trapped human-related a l . i n the (1983) first 70 open s e a s o n a f t e r a one 3 of year c l o s u r e . 5 lynx radio-tagged five months and of h i s i n 1972 a f o u r t h was 14 l y n x were k i l l e d (1983) report that were k i l l e d killed by a l l three were t r a p p e d trapped two 3 February 1965 of the of 9 three adult 1965 and believed one that Brand trapping during The and rates of (1979) during season surprising benign makes Their them mortality (i.e. from occurs May to time of year. low and to data Further, was fate between trapping phase of Non- at 7 to i n c l u d i n g an assumption the start of I t would be during studies. 38% several of the most trapping m o r t a l i t y r a t e s are from the above t a g g i n g the phase. contain estimates (1979) apparently annual before 3 predated is decline highest h i s non-trapping The and al. et November). his 1964 Koehler estimates suspect, (1972) 1 y e a r and radio-tagged early was dead w i t h i n early increase i f n a t u r a l m o r t a l i t y were m o r t a l i t y are compared the park. one tagged estimated the the and r a t e s f o r a d u l t s were e s t i m a t e d that a l l non-trapping trapping had in Riding tagging. lynx 7 Patriquin outside f a t e of h i s second a n i m a l e a r l y d e c l i n e phase. that 1 was within N e l l i s et a l . year of eight l y n x he Keith 10% Of 1968, 17-29% d u r i n g mortality assumptions and between August l e a s t 1 year. of two by a m o u n t a i n l i o n . h a r e c y c l e and killed tagged w i t h i n one February a f t e r at mortality and months l a t e r . 6 i s unknown. were r e c a p t u r e d unknown. Carbyn that In t o t a l , lynx they radio-tagged lynx were t r a p p e d remaining August humans w i t h i n 4 months of r a d i o - t a g g i n g y e a r s and reported by w i t h i n a year. humans. M o u n t a i n N a t i o n a l P a r k were t r a p p e d Two Mech ( 1 9 8 0 ) r e p o r t e d Combining high the 71 r e s u l t s of t h i s estimates with those previous of Brand and K e i t h important 55% study mortality 1979), studies man (excluding the i s the factor i n lynx populations. single The d e a t h s o f o f a l l l y n x t a g g e d i n t h e s e s t u d i e s were h u m a n - r e l a t e d . those animals f o r which responsible'for mortality in 95% o f The the m o r t a l i t y . 5.6% o f t a g g e d behavioral increase combination increased distances into In contrast, lynx vulnerability home range size to w i t h more t r a p s . trapping. and daily bring When p r e y a r e s c a r c e , high Finally, because lynx aggregate lynx area hare large proportion by c o n c e n t r a t i n g abundance. If his efforts these lowest. This may s e n s i t i v e t o over- i n areas of r e l a t i v e l y lynx r e s u l t i n lynx populations snowshoe h a r e a b u n d a n c e . trapper of the lynx population into the harvesting during might i n areas of r e l a t i v e l y f a c t o r s are important, h a v e most e f f e c t when r e c r u i t m e n t lynx trapping snowshoe h a r e a b u n d a n c e , i t w o u l d be p o s s i b l e f o r a to trap a r e l a t i v e l y the A travel the be more e a s i l y a t t r a c t e d t o t r a p b a i t s , t h u s i n c r e a s i n g success. f o r an lynx. w i t h d e c l i n i n g p r e y abundance s h o u l d contact natural r e s p o n s e s o f l y n x t o d e c l i n i n g snowshoe h a r e abundance s h o u l d of Of t h e c a u s e o f d e a t h i s known, man i s t h i s a n d t h e a b o v e s t u d i e s was r e s p o n s i b l e annual l o s s of only an most they in high should population is being e s p e c i a l l y decline and low i n 72 Lynx S o c i a l The of the section, social s t r u c t u r e o f any environment I will populations and Structure in which i t l i v e s d i s c u s s the the mammalian s p e c i e s social (Fisler is a function 1969). o r g a n i z a t i o n observed In this in lynx e n v i r o n m e n t a l f a c t o r s t h a t have s e l e c t e d f o r it. L y n x , l i k e most f e l i d s a r e solitary were o c c a s i o n a l l y n e a r e a c h o t h e r of extended sociality animals. in this study, i n v o l v e d f e m a l e s and Although the their only lynx signs young o f the year. The degree carnivores prey size solitary and hunting while in relatively large sociality in typically prey, lions hypothesis Lynx this 1983, often been dense for used to explain 1972, in lions that capturing Bertram Kruuk's test of Packer r e s u l t s from for large prey, i n w h i c h t h e y l i v e and 3) the 2) high attain. boreal snowshoe h a r e s w h i c h w e i g h o n l y that than suggest inconclusive. f a c t o r s : 1) p r e f e r e n c e habitat smaller to Kruuk 1983). sociality preferred s e l e c t larger prey. adaptation f o r f e l i d s , h o w e v e r , was of (1963) n o t e d animals 1972, Macdonald d e n s i t i e s which they inhabit on has (Schaller populations a f u n c t i o n of observation an suggests instead that o p e n e s s of t h e population prey is and in Bouliere carnivores carnivores a c o m b i n a t i o n of t h r e e the t o be developed t h i s 1978,1979, G i t t l e m a n (in press) observed strategy. social ( 1 9 7 2 , 1975) sociality this sociality i s generally considered carnivores themselves Kruuk of f o r e s t s and consume p r i m a r i l y 10-15% of t h e a d u l t body weight 73 of a lynx. The r e l a t i v e l y dense b o r e a l Further, f o r e s t would t h e r e f o r e not favor Kleiman and E i s e n b e r g stealth, the solitary primary life style. lynx can reach It for is lynx that hunting high rates family disadvantage snowshoe benefit capture hare group l i v i n g demands l a r g e r prey items, such success, (1983) found chases that Why and four open coordinate group hunts f o r visibility habitat is but (Peterson use 1977). Based study on i n lynx during group caribou, living Dall be periods of might them t o sheep i n dense cover w h i l e animals and prey in dense Wolves hunt c o o p e r a t i v e l y vocalizations lions are a n d i t may n o t be p o s s i b l e t o large to cover where i n closed forest their efforts coordinate L y n x do n o t v o c a l i z e . the high d e g r e e o f home r a n g e o v e r l a p , were n o t t e r r i t o r i a l . a limiting then low. were l y n x a r e n o t s o c i a l may be r e l a t e d t o Lynx l i v e country are T h e r e may t h e r e f o r e Further, as a however, l y n x when snowshoe a b u n d a n c e i s . l o w by e n a b l i n g typically space et a l . of respectively. by t o those of l i o n s . Parker (percent abundance. Packer's second p o i n t . if lynx, u n i t s of one, two, t h r e e to p e r h a p s moose c a l v e s . this hunting t o note, however, t h a t h u n t i n g 17, 38 a n d 58 p e r c e n t little of d e n s i t i e s equal w i t h group s i z e . success for strategy that i n lynx. In areas of h i g h prey abundance, population increases sociality (1973) suggest hunting interesting successful) 14, s m a l l s i z e of l y n x p r e y and l i f e i n resource As d i s c u s s e d i s s t a b l e and by D a v i e s predictable i t i s t o the advantage of the predator e x c l u s i v e use a r e a s (territories). If the in lynx i n (1978), time and t o t o defend resource i s not 74 stable and predictable i n t i m e a n d s p a c e , h o w e v e r , t h e r e i s no benefit t o defending a t e r r i t o r y i n which the resource i s l i k e l y to d i s a p p e a r . Territoriality several felid (Bailey within species. sexes, Female t i g e r s 1979: c i t e d cheetahs males. being to resource defend i n these by these b e t w e e n s e x e s i s common overlap has been European bobcats wildcats (Schaller 1972) against considered in reported wildcats felids. cougars (Corbett are other to also been c o a l i t i o n s of be the resource Home r a n g e Male-female fortigers be C o a l i t i o n s o f male male c o a l i t i o n s . ( S c h a l l e r a n d Crawshaw 1 9 8 0 ) , 1973) , European systems. territories Females a r e g e n e r a l l y defended and for Food i s g e n e r a l l y c o n s i d e r e d t o (Frame 1980) a n d l i o n s reported described i n P a c k e r i n p r e s s ) have been r e p o r t e d t o h a v e e x c l u s i v e home r a n g e s . defended been ( S u n g u i s t 1981), 1974), l e o p a r d s (Bertrum 1982), (Corbett the have overlap home range ( S u n g u i s t 1981), j a g u a r s (Seidensticker et a l . 1979), and b o b c a t s (Bailey 1974) . Snowshoe h a r e populations, numbers, at the months o f t h e s t a r t would be limiting resource for lynx a r e u n s t a b l e i n both time and space and a r e l i k e l y unpredictable to the lynx. densities the cyclic Areas peak which may of t h e d e c l i n e . may have be v i r t u a l l y Under t h e s e high empty hare within conditions i t m a l a d a p t i v e f o r a l y n x t o expend energy m a i n t a i n i n g a territory. I n summary, snowshoe h a r e a b u n d a n c e a n d to be the proximate structuring forces distribution seem controlling lynx 75 a b u n d a n c e and d i s t r i b u t i o n . function lag of A b s o l u t e abundance snowshoe h a r e a b u n d a n c e . b e h i n d t h o s e o f h a r e s by Nicholson one 1942, B r a n d e t a l . space to of Cycles i n lynx two years ( 1976, P a r k e r e t a l . Elton 1983 ). distribution. Lynx c o n c e n t r a t e i n a r e a s of r e l a t i v e l y h i g h et 1979 and t h i s a l . 1963a, B e r g e r u d on 1971, B e r r i e s t u d y ) and d i s p e r s e a f t e r a abundance in (Saunders dependent is distribution abundance is lynx snowshoe 1974, and Lynx hare hare Koehler these areas of r e l a t i v e a b u n d a n c e have been d e p l e t e d ( t h i s s t u d y ) . 76 MANAGEMENT IMPLICATIONS Introduct ion E f f e c t i v e management marked fluctuations plans that vary recruitment in of recruitment harvest rate. rate Failure p e r i o d s of low r e c r u i t m e n t to increase wildlife when populations rates directly to exhibiting r e q u i r e management with changes reduce t h e harvest can i n h i b i t c o n d i t i o n s again in rate during the populations become f a v o u r a b l e ability (Caughley 1977). Recruitment of l y n x i n t o the population from z e r o d u r i n g p e r i o d s o f l o w snowshoe h a r e a b u n d a n c e t o 3 t o near 4 young per abundance. however, rate. female per year during periods do not take loss In addition, s t u d i e s , suggests of over evidence 55% of l y n x p o p u l a t i o n s . and scarcity figures. found annual from this During During 2 years to be produced e f f e c t of t h e observed 2 harvest annual of trapping higher than of d e c l i n i n g hare abundance, I m o r t a l i t y r a t e s o f 100 a n d 75 p e r c e n t therefore to and p a s t periods i n snowshoe h a r e a b u n d a n c e b o t h l y n x w h i c h were known t o l e a v e K l u a n e Game I susceptible Other f a c t o r s cause t h e n a t u r a l m o r t a l i t y r a t e s c a n be e x p e c t e d these hare i n recruitment t h a t man i s r e s p o n s i b l e f o r an l o s s o f 5.6% o f l y n x p o p u l a t i o n s e a c h y e a r . decline high used f o r l y n x , i n t o account f l u c t u a t i o n s Lynx p o p u l a t i o n s a r e t h e r e f o r e e s p e c i a l l y tagging of Management s t r a t e g i e s c u r r e n t l y b e i n g over-harvesting. and fluctuates simulation o f my tagged Sanctuary. models t o a s s e s s t h e r a t e s on l y n x p o p u l a t i o n dynamics 77 through t h e i r ten year cycle. The Models I developed the models,using p o p u l a t i o n 6) from my work parameters and t h a t o f B r a n d and K e i t h m o d e l s I s u b d i v i d e d t h e snowshoe h a r e c y c l e h a r e abundance, 2 y e a r s of i n t e r m e d i a t e (1979). (Table In both i n t o 3 y e a r s of h i g h hare abundance during i n c r e a s e and d e c l i n e p h a s e s and 3 y e a r s o f low h a r e a b u n d a n c e a t the bottom of the c y c l e . population. 7% I assumed a 1:1 I set the i n i t i a l yearlings and 93% adults, f o u n d by B r a n d and K e i t h abundance the and just hare c y c l e . prior hare (1979). of after t o the s t a r t years I allowed kittens season abundance. 100% s u r v i v a l (May low model A (see low, pregnancy intermediate and Keith high s u r v i v a l d u r i n g p e r i o d s of from Brand and respectively. 1a f o r d e t a i l s o f t h e m o d e l ) , yearling and c a l c u l a t e d by t h e e q u a t i o n : = (NY * .5 * RY) of t o November) d u r i n g p e r i o d s o f appendix by hare start E s t i m a t e s of k i t t e n annual k i t t e n production NK of from b i r t h t o the (1979) and s e t a t 35 and 8 % In distribution s i z e and i n t e r m e d i a t e and low h a r e a b u n d a n c e were t a k e n Keith at of t h e i n c r e s e phase E s t i m a t e s o f in u t e r o l i t t e r females at lynx distribution t o t h e age 3 i n the a b u n d a n c e were t a k e n f r o m T a b l e 5 o f B r a n d and the trapping hare l y n x age similar (1979) r a t e s f o r y e a r l i n g and a d u l t high spring sex r a t i o + (NA * .5 * RA) adult females was 78 T a b l e 6. Parameter e s t i m a t e s used i n l y n x p o p u l a t i o n s i m u l a t i o n models. A d u l t and y e a r l i n g m o r t a l i t y r a t e s are per year. K i t t e n summer m o r t a l i t y r a t e s a r e b i r t h t o November. P o s t November k i t t e n m o r t a l i t y r a t e s were assumed e q u a l t o a d u l t m o r t a l i t y r a t e s . Lynx pregnancy r a t e s , l i t t e r s i z e s , k i t t e n m o r t a l i t y r a t e s and a d u l t m o r t a l i t y r a t e s f o r model B a r e from Brand and K e i t h (1979). I assume l y n x have a maximum o f 1 l i t t e r p e r year. See t e x t f o r d e r i v a t i o n o f a d u l t m o r t a l t y r a t e s f o r m o d e l A. PARAMETER SNOWSHOE HARE ABUNDANCE LOW INTERMEDIATE HIGH Adult lynx pregnancy rate 0.33 0.46 0.7 3 Y e a r l i n g lynx pregnancy rate 0.0 0.0 0.4 Adult lynx in utero l i t t e r size 3.4 3.9 4.6 Y e a r l i n g lynx in utero l i t t e r size 3.9 Lynx k i t t e n summer mortality rate 0.92 0.65 0.0 Trapping mortality rate ( m o d e l A) 0.55 0.55 0.55 Natural mortality rate ( m o d e l A) 0.06 0.06 0.06 Trapping mortality rate ( m o d e l B) 0.14 0.14 0.14 Natural mortality rate ( m o d e l B) 0.35 0.35 0.35 80 where * = m u l t i p l i e d by NK = number o f k i t t e n s i n t h e f a l l ; NY = number o f y e a r l i n g s i n the spring RY = p r e g n a n c y r a t e * i_n u t e r o litter f e m a l e s * summer s u r v i v a l r a t e NA = number o f a d u l t s all assumed that age c l a s s e s occurred mortality in population; litter f e m a l e s * summer s u r v i v a l r a t e I size for yearling forkittens; i n the spring RA = p r e g n a n c y r a t e * i_n u t e r o population; size f o r adult for kittens November t o May m o r t a l i t y r a t e s were e q u a l f o r and this that a l l yearling period. rates. I set and adult I assumed no d e n s i t y annual trapping and mortality dependence i n non-trapping mortality r a t e s a t 5 5 % a n d 6% r e s p e c t i v e l y ( s e e p r e v i o u s on mortality lynx trapping season for derivation (May) adult lynx c a l c u l a t e d by t h e e q u a t i o n : NAS = (NAF + NYF) * S where * = m u l t i p l i e d by NAS = number o f a d u l t s i n May NAF = number o f a d u l t s i n November NYF = number o f y e a r l i n g s S i n November = s u r v i v a l r a t e November t o May of these population section values). Post numbers were 81 May yearling population NYS = NKF * numbers was c a l c u l a t e d by the equation: S where NYS = number o f y e a r l i n g s NKF = number of B r a n d and population contained in kittens in Keith spring; fall; (1979) a l s o m o d e l l e d t h e through a decline t o the s e v e r a l q u a l i t a t i v e and effect on the d y n a m i c s of the model A to reflect a s s u m p t i o n s and model (1979) of kitten modelled from would have population, recruitment same i n m o d e l s A and assumed a d d i t i v e and that that B r a n d and trapping mortality mortality l o s s e s at As I 1b for an modified parameter estimates Keith details of of 35% and lynx population B r a n d and Keith non-trapping mortality age ( 1 9 7 9 ) , h o w e v e r , assumed t h a t a l l non- from May similar the in t o November. annual m o r t a l i t y at model. of was were all occurred first i n t o the i n m o d e l A, mortality (1979) e s t i m a t e d ' t o t a l v a l u e u s e d i n my B. trapping trapping classes. the Model A B). the Keith i f these d i f f e r e n c e s (1979)(Table 6)(see appendix Calculation was the lynx quantitative differences model. Keith determine f o l l o w i n g peak. their B r a n d and To d y n a m i c s of a 44%, Brand s i m i l a r to They e s t i m a t e d a n n u a l spring lynx and natural population and 82 trapping mortality at 14% therefore c a l c u l a t e s independent estimates y e a r l i n g a n d a d u l t numbers of using the fall their population. Model B for spring estimates and fall of t r a p p i n g and non-trapping mortality rates. Results I ran both starting with lynx models high 5 complete c y c l e s phase hare i n m o d e l A was v i r t u a l l y c y c l e o f 10 y e a r s (Fig. 12). extinction natural) studies In when were the total 0.30 or Even d u r i n g Parker 1983, Nellis et a l . i n excess of is to v i r t u a l (trapping A l lpast Mech 1980, Carbyn and + tagging (this Patriquin 1979) have reported 0.30. i n model B also declined to virtual a l t h o u g h a t a slower r a t e than i n model A ( F i g 14). interesting simulation rates 13). of i n t o the lynx declined 1972, K o e h l e r e t a l . The l y n x p o p u l a t i o n extinction, (Fig. periods determine annual m o r t a l i t y rates 1983, et a l . mortality larger The e x t i n c t a t t h e end o f lynx population annual f o r which I could study, rates fact (50 y e a r s ) abundance. hare abundance m o r t a l i t y exceeded r e c r u i t m e n t population. It through 2 y e a r s of i n c r e a s e population one f u l l and P i s c u s s i o n from the to note start that of i n Brand and K e i t h the cyclic decline (1979)'S in a b u n d a n c e t o t h e f o l l o w i n g peak i n a b u n d a n c e , 8 y e a r s l a t e r , modelled lynx approximately a number decline. population 0.4%. This of c y c l e s t h e i r showed a decline suggests t h a t , allowed population may in numbers t o run lynx the of through a l s o have c o n t i n u e d to 83 Figure 12. D y n a m i c s o f s i m u l a t e d l y n x p o p u l a t i o n u s i n g model A and o b s e r v e d m o r t a l i t y r a t e s . See T a b l e 6 a n d A p p e n d i x 1a f o r p a r a m e t e r e s t i m a t e s a n d s i m u l a t i o n model program. 84 azis NOiivnndOd 85 Figure 13. Dynamics of s i m u l a t e d l y n x p o p u l a t i o n u s i n g model A w i t h t o t a l a n n u a l m o r t a l i t y r a t e s e t a t 0.30. See T a b l e 6 and A p p e n d i x 1a f o r p a r a m e t e r e s t i m a t e s a n d s i m u l a t i o n model p r o g r a m . o in o o CO CO < LU > o CM 87 Figure 14. D y n a m i c s o f s i m u l a t e d l y n x p o p u l a t i o n u s i n g model B a n d m o r t a l i t y r a t e e s t i m a t e s f r o m B r a n d and K e i t h (1979). See T a b l e 6 and A p p e n d i x 1b f o r p a r a m e t e r e s t i m a t e s and s i m u l a t i o n model program. 88 CO cc < UJ >- 3Zis NOiivnndOd 89 L y n x p o p u l a t i o n s i n n a t u r e c e r t a i n l y do n o t d e c l i n e a t rate indicated decline lynx by these that are r a t e s t h a t are too h i g h . population litter sizes collected are found from founded. Keith The i n s i m u l a t e d p o p u l a t i o n s must r e s u l t recruitment lynx simulations. too low, My Brand trappers. and (1979) therefore that e s t i m a t e s of m o r t a l i t y my November) I assumed no clearly erring actually be rates 2) t r a p p i n g and kitten to and be well models: first 1) kitten t r a p p i n g season non-trapping mortality mortality. kitten in carcasses Two (May initial i_n u t e r o r a t e s are too high. from b i r t h t o the s t a r t of t h e i r following on the and mortality arid into Brand included in my mortality favor of at higher occurring i n nature. high hare abundance, recruitment Estimates than of k i t t e n could mortality at i n t e r m e d i a t e and low h a r e a b u n d a n c e s were d e r i v e d B r a n d and K e i t h (1979) and set Kitten mortality r a t e s may abundance those s t u d i e s do, during I , saw periods a l s o found during however, periods ( 1 9 7 9 ) and during than of of of low at and Evidence abundance. of 92% kittens hare abundance. kittens hare abundance. kitten Both on our carcass During hare other survival B r a n d and B r a n d and in low f r o m t h i s and low from respectively. i n t e r m e d i a t e and extremely hare 3 percent low 65 lower suggest no e v i d e n c e l e s s than periods be at estimated. low of mortality in seem both rapid estimates or e s t i m a t e s of Keith They components of m o r t a l i t y are to from e s t i m a t e s of r e c r u i t m e n t It i s therefore likely (1979)'s surprisingly b a s e d on p r e g n a n c y r a t e s , and by the Keith study areas Keith (1979) collections p e r i o d s of high 90 hare abundance, k i t t e n s c o m p r i s e d 18 t o 30 samples. with In intermediate continue any event, even and low hare two be reasons. 6 rate survival at should These e s t i m a t e s these estimates may be t o o h i g h f o r a r e b a s e d on a t o t a l from into s u g g e s t s t h a t low sample s i z e may be The f a c t the the population most ease, f i e l d sustain, i s not t h e complete answer. mortality representative often rates of observed mortality in rates s t u d i e s on l y n x , a s w i t h o t h e r undertaken in areas of is be most intense. i n areas reasons mammals, relatively T h e s e a r e a l s o t h e a r e a s where t r a p p i n g to these For accessibility. likely high pressure Trapping m o r t a l i t y rates i n r e m o t e a r e a s where a c c e s s i s l i m i t e d may be f a r l o w e r . trapping mortality considerably accessiblity. less If extremely important declines and rates over than those this i s the i n maintaining Average l a r g e a r e a s w o u l d t h e r e f o r e be noted in areas of high c a s e , r e m o t e a r e a s may be lynx populations lows i n hare abundance. areas i n maintaining that mortality could t o those i n which t h e s t u d i e s took p l a c e . logistic 36 w h i c h t h e s e 36 a n i m a l s were drawn a l l h a d recruitment Alternatively, of therefore r a t e s i n e x c e s s o f 0.30, t h e maximum a n n u a l that studies from t h i s and The h i g h m o r t a l i y r a t e s o b s e r v e d m i g h t studies similar trapped populations i n model A were d e r i v e d studies. First, lynx. mortality are kitten due t o random c h a n c e w i t h i n t h e s m a l l s a m p l e . the of lynx of t o d e c l i n e under t h e observed m o r t a l i t y r a t e s . lynx tagging tagged 100% abundance, Adult m o r t a l i t y rates past percent lynx populations during the The i m p o r t a n c e o f remote through periods of low 91 recruitment continually was may be throughout unsustainable maintaining suggested i n c r e a s i n g access populations rates first into large harvest parts rates. (Parker 1983, was et B r a n d and (1977) s u g g e s t e d vary of The al. their With areas, range resulting n e e d s more has of lynx and 1983, by several Carbyn B e r r i e 1974). of l y n x . i n t o the h a r v e s t a b l e for populations Researchers to (1974), i n an populations allowed the publication insightful in Alaska, f o r as much a s abundance. He areas and continued result i n a decreased of discussion recommended 3 years suggested dynamics recommending 2 trapping cyclic K e i t h (1979) r e i t e r a t e d v through future no Berrie of lynx lynx trapping cyclic low to reducing in low hare would t h e number of when c o n d i t i o n s i m p r o v e d . and untrapped lynx i n c r e a s e i n the one complete total be wilderness throughout the c y c l i c by years Brand t h i s recommendation w i t h the h e l p T h e i r m o d e l s i n d i c a t e d a 28% population the that d u r i n g the amplitude s i m u l a t i o n m o d e l s of t r a p p e d lynx of (1977) book. t h a t w i t h improved access i n d i v i d u a l s a v a i l a b l e t o breed and Caughley's rates population, with were i n f a c t and Caughley a t r a c k i n g s t r a t e g y f o r t h e h a r v e s t i n g of l y n x p o p u l a t i o n s prior in populations been e x p r e s s e d Todd K e i t h 1979 the o n l y workable s t r a t e g y in research. t h a t a " t r a c k i n g s t r a t e g y " , where h a r v e s t to those lynx i m p o r t a n c e of remote a r e a s 1983, d i r e c t l y with recruitment similar (1974). remote existance i n t e n s i v e trapping pressure Patriquin these lynx populations c l e a r l y researchers Berrie s u b j e c t e d t o u n i f o r m l y h i g h human m o r t a l i t y Concern f o r the c o n t i n u e d under by of populations. harvestable c y c l e i f t r a p p i n g were 92 c u r t a i l e d during low. Parker the three et a l . years of lynx p o p u l a t i o n (1983) n o t e d t h a t t h e l y n x h a r v e s t S c o t i a was c u r t a i l e d d u r i n g and low recruitment curtailment lynx trapping The underlying the harvest researchers, otherwise assumption plans when f o r lynx That conditions of low during periods causes anyway the low improved. of strategy, by previous additive in hare would abundance to mortality during I n d i v i d u a l s which a r e trapped conditions would improved. die of natural Trapping m o r t a l i t y , o f i t , w o u l d t h e r e f o r e h a v e no e f f e c t on individuals to A l t e r n a t i v e l y , trapping o f low p r e y a v a i l a b i l i t y some p r o p o r t i o n number prey abundance. before the c y c l i c i s , lynx that are trapped m o r t a l i t y may be c o m p e n s a t o r y f o r n o n - t r a p p i n g periods curtailment numbers. recommended mortality. future i n t o lynx i n Caughley's t r a c k i n g s u r v i v e through the reproduce a case f o r i s that trapping m o r t a l i t y i s l a r g e l y non-trapping or during i n Alberta f o r 3 to 4 years during d e c l i n e and low i n l y n x p o p u l a t i o n and scarcity He recommended be c o n t i n u e d Todd (1983) a l s o p r e s e n t e d and i n Nova hare o f snowshoe h a r e s c a r c i t y a n d l o w r e c r u i t m e n t populations. of a p e r i o d o f snowshoe i n t o the lynx population. t h a t a system of harvest periods decline surviving to breed when the conditions improved. In o u r s i m u l a t i o n s both Brand and Keith t r a p p i n g m o r t a l i t y were supported this r e s i d e n t on t h e i r of the (1979) area of lynx populations, a n d I assumed t r a p p i n g a n d n o n - additive assumption study dynamics with . Brand the and Keith observation a t t h e e n d o f one that trapping (1979) lynx season 93 but the were n o t present the following winter. l y n x must have d i e d d u r i n g was the summer and their therefore a d d i t i v e to trapping m o r t a l i t y . t o assume t h a t a l l n o n - t r a p p i n g trapping It occurred during mortality would be during the In the surprising my most if benign study, 42% a l l time of occurs mortality extrapolate outside occurred during then, that the i n B r a n d and from the area l y nx the the Keith's Keith mortality up gain harvestable in by t o 50% the low lynx low a l l It is possible dispensed A l s o , t h e d e a t h of through a trapping during If this one i n hare cyclic of my abundance low in hare natural the mortality may 3 years be mortality during i s the c a s e , of lynx a net complete c y c l e would continuing of populations when low more be lynx than 50% of low to harvest lynx periods i n hare abundance would have l i t t l e recovery and (1979) s t u d y the to dispersed (1979)'S model s u g g e s t e d t h a t w i t h compensatory f o r non-trapping through the lynx May trapping. Trapping hare abundance. from compensatory f o r t r a p p i n g m o r t a l i t y , curtailing recruitment. mortality abundance a l l lynx would s u r v i v e the abundance even w i t h o u t and year hare l y n x , presumably to s t a r v a t i o n , during Brand of snow-free p e r i o d . rather than d i e d . s u g g e s t s t h a t not non-trapping radio-tagged p e r i o d of r a p i d d e c l i n e i n dispersal achieved They that season. November. on They c o n c l u d e d o r no a f f e c t hare abundance increased. Therefore, Keith (1979) although and I applaud others who the efforts of Brand and have a t t e m p t e d t o d e v e l o p sound .94 management schemes f o r l y n x , i t w o u l d be p r e m a t u r e t o these 'plans without p l a n c a n o n l y be confines of a determined sound s e t t i n g up r e p l i c a t e trapped further testing. study continuously, period Keith of low i t lynx conducted design. areas. as The e f f e c t i v e n e s s o f any is experimental One under c u r r e n t l y n x , and i n t h e second a r e a the i f within This would study area ( 1 9 7 9 ) ' S management p l a n . as suggested By m o n i t o r i n g lynx harvest i n the 2 areas the e f f e c t i v e n e s s of " t r a c k i n g assessing (Romesburg assessed. the This effectiveness 1981, W a l t e r s type of during recruitment m o r t a l i t y r a t e s and t o t a l of experiment any and H i l b o r n be i n B r a n d and t r a p p i n g and n o n - t r a p p i n g be entail would t r a p p i n g w o u l d be c u r t a i l e d recruitment the management schemes f o r rates, could impliment new 1976). lynx strategy" i s essential in management strategy 95 REFERENCES CITED Adams, A.W. 1963. 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See T a b l e 6 f o r p a r a m e t e r e s t i m a t e and t h e i r d e r i v a t i o n . 100 IF T l > 0 THEN 200 105 T = .55:N = .06: REM T=TRAPP ING MORTALITY RATE AND N= NA TURAL MORTALITY RATE 110 NY = 7:NA = 93: REM NY= NUMB ER OF YEARLINGS IN I N I T I A L P •PULATION AND NA = NUMBER OF ADULTS IN I N I T I A L POPULATIO N 120 A = 0 200 IF A ^ = 1 THEN 207 201 = 4 THEN 2 ,IF A > 1 AND A < 06 IF A > 4 AND A < 202 = 6 THEN 2 07 IF A > 6 AND A < 204 = 9 THEN 2 08 205 : REM IN LINES 206 TO 208 RY =AVERAGE NUMBER OF KITTENS P RODUCED PER YEARLING FEMALE PER YEAR; RA = AVERAGE NUMBE R OF KITTENS PRODUCED PER AD ULT FEMALE PER YEAR 206 RY = 1.6:RA = 3.4: GOTO 210 207 RY = 0:RA = .6: GOTO 210 208 RY = O:RA = .1 210 NK = NY * .5 * RY + NA * .5 * RA: REM NK=YEARS PRODUCTION OF KITTENS 220 NA = NY + NA - (NY + NA) * (T + N) 230 NY = NK - NK * (T + N) 240 NT = NY + NA: REM NT= TOTAL PRE-BREEDING SEASON POPULATI ON 241 IF A < = 9 THEN A = 242 I F A > 9 THEN A = 0 250 Z ( 1 , T I ) = NT 251 Z ( 2 , T I ) = NA Z(3,TI> = NY 253 Z ( 4 , T I ) NK = 105 Appendix lb. P r o g r a m f o r s i m u l a t i o n m o d e l B. P r o g r a m i s w r i t t e n i n BASIC f o r APPLE l i e m i c r o c o m p u t e r and c o m p i l e d w i t h m i c r o simcon p o p u l a t i o n s i m u l a t i o n package ( W a l t e r s 1 9 8 2 ) . See T a b l e 6 f o r p a r a m e t e r e s t i m a t e and t h e i r d e r i v a t i o n . 100 IF T I > 0 THEN 200 105 T = 0.14:N = 0.35: REM T= TR APPING MORTALITY RATE AND N= NATURAL MORTALITY RATE 110 NY = 7:NA = 9 3 : REM NY=NUMBE R OF YEARLINGS IN I N I T I A L PO PULATION AND NA=NUMBER OF AD ULTS IN I N I T I A L POPULATION 120 A =.0 200 IF A < = 1 THEN 207 201 I F A > 1 AND A < = 4 THEN 2 06 202 IF A > 4 AND A < = 6 THEN 2 07 204 IF A > 6 AND A < = 9 THEN 2 OB 205 : REM IN LINES 206 TO 208 RY =AVERAGE NUMBER OF KITTENS P RDDUCED PER YEAR PER YEARLIN G FEMALE AND RA= AVERAGE NUM BER OF KITTENS PRODUCED PER ADULT FEMALE PER YEAR 206 RY = 1.6:RA = 3.4: GOTO 210 207 RY = 0:RA = .6: GOTO 210 208 RY = 0:RA = .1 210 NK = NY * .5 * RY + NA * .5 * RA: REM NK= YEARS PRODUCT10 N OF YOUNG 215 NA = NA - (NA * N ) : REM CALC ULATION OF ADULT POPULATION PRIOR TO TRAPPING SEASON 217 NY = NY - (NY * N ) : REM CALC ULATION OF YEARLING POPULATI ON PRIOR TO TRAPPING SEASON 220 NA = NA + NY - (NA + NY) * T: REM CALCULATION OF POST TR APPING SEASON ADULT POPLUATI ON 230 NY = NK - NK * ( T ) : REM CALC ULATION OF POST TRAPPING SEA SON YEARLING POPULATION 240 NT = NY + NA: REM CALCULATIO N OF TOTAL POPULATION S I Z E I N SPRING 241 IF A < = 9 THEN A = A + 1 242 I F A > 9 THEN A = O 250 Z ( 1 , T I ) = NT 251 Z ( 2 , T I ) = NA 252 Z ( 3 , T I ) = NY 253 Z ( 4 , T I ) = NK
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