RESPONSE OF BLACKBEARS AT COLDLAKE,ALBERTA,TO DEMOGRAPHIC THE REMOVAL OF ADULTMALES GLEN A. SARGEANT, U.S. Geological Survey, Northern Prairie Wildlife Research Center, 8711 37th Street Southeast, Jamestown, ND 58401, USA, email: [email protected] ROBERT L. RUFF, Department of Wildlife Ecology, 226 Russell Labs, 1630 Linden Drive, University of Wisconsin, Madison, WI 53706, USA Abstract: Previous reportsdescribedan increase in populationdensity following the removal of 23 adult and 3 subadultmale black bears (Ursus americanus)from a 218-km2studyareanearCold Lake, Alberta(the CLSA). This findingplays a centralrole in continuingdebatesover population regulationin bears,buthas been criticizedbecausedensityestimateswere based on assumptionsthatwere not met. Moreover,subsequentdiscussion has been predicatedon conjecturethat humanexploitationhad minimalinfluence on populationdynamics. We used improvedmethodsof markrecaptureand survival analysis with a combinationof new and previously published data to resolve these issues. Jolly-Seberestimates suggest numbersof females using the CLSA were relatively stable from 1969 to 1971, then more than doubled when males were capturedand euthanized during 1971-72. Numbersremainedhigh until 1975, when they declined abruptly. Similarly,numbersof subadultmales capturedannuallyincreaseddisproportionatelyin 1972 andremainedhigh until 1976, when they also declined. Changesin numbersof subadultmales capturedindicated changes in local density because they were not causedby changes in captureor settlingrates. These findings supportpreviousdescriptionsof trends in bear density at Cold Lake. However, survivalrecords of 56 bears radiomarkedduring 1974-77 revealed heavier exploitationthan previously suspected. Annualmortalityratesof radiomarkedbearsrangedfrom 14 to 51%,andhumanscaused at least 25 of 30 observeddeaths. Consequently, an underlying assumptionof previous interpretations-that the Cold Lake bear populationwas naturallyregulatednear carryingcapacity-no longer seems reasonable. Ourresults suggest that adultmales deterredbearsin other sex-age groupsfrom using the CLSA; however, we found no evidence that birth or death rates were affected. Thus, the observed increase in local density should not be construedas a density-dependent response. Abruptchanges in local density might not have occurredif males had been removedfrom a largerareaencompassingthe CLSA. Ursus 12:59-68 Key words: Alberta,black bear,compensatorymortality,density dependence,limiting factors,mark-recapture,populationdynamics,population regulation,Ursus americanus Naturalregulationof bear populationsultimately involves density-dependentprocesses(Taylor1994). These processes, however, are poorly understoodand a subject of continuingcontroversy.Some have suggestedthatadult males regulate bear populations by killing or evicting younger males and, to a lesser extent, females (Bunnell andTait 1981, McCullough 1981, LeCount1993). If so, removingadultmales by huntingmight increasesurvival rates of subadultand female bears. Otherscontend that evidence of densitydependenceis lackingfor blackbears andwarnagainstharveststrategiesthatanticipateincreases in survivalor reproductionwhen populationsarereduced (Miller 1990a,b; Garshelis 1994; Taylor 1994). of an experimentbegunby Kemp(1972, Interpretations and continued 1976) by Young and Ruff (1982) are central to this ongoing debate (Garshelis 1994). To determine whether adult males mediated density-dependent changesin demographicparametersof a blackbearpopulation at Cold Lake, Alberta, Kemp (1976) and Young andRuff (1982) used mark-recaptureto estimatepopulation size before (1968-70), during (1971-72), and after (1973-75) an experimentalremovalof adultmales. The populationwas thoughtto be unexploitedand naturally regulatedpriorto theremoval(Kemp 1976). After4 years of relative stability before the removal, populationestimatesmorethandoubledfrom 1971 to 1973 andremained relatively high through 1975. Moreover,disproportionately large numbersof subadultmales were capturedan- nuallyduring1972-75. Kemp(1976) andYoungandRuff (1982) concluded that adult males regulatedpopulation density by controllingrecruitmentof subadults. These results are often cited as evidence of density dependence in black bears (Garshelis1994). Garshelis (1994) subsequently identified potential sources of bias in populationestimates of Kemp (1976) and Young and Ruff (1982): Perceivedchanges in population might have resultedfrom (1) age- and sex-related differencesin recaptureprobabilities,combinedwith the removal of adult males from the population,and (2) increased numbersof transientbears passing throughthe areawhen male density was low. Though Kemp (1976) inferredan increasein settlingratesof subadultsfrom increasedrecapturerates following the removal, Garshelis (1994) pointedout thatthese high rateswere observedin only 1 year;thusthe datadid not supportinferencesabout changes in emigration, immigration, or settling rates. Garshelis(1994) concludedthatKemp(1976) andYoung andRuff (1982) reachedunjustifiedandpossibly erroneous conclusions about changes in the Cold Lake black bearpopulationand called for a re-analysisof theirdata. We analyzeddatafirstpresentedby Kemp(1972, 1976) andYoungandRuff (1982), unpublishedmark-recapture records for 1976 and 1977, and unpublished survival records for bears radiomarkedduring 1974-77. Objectives of this paper are to (1) use improved methods of mark-recaptureanalysis to reassess evidence for an in- 60 Ursus 12:2001 crease in bear densities following the removal of adult males from the CLSA; (2) estimate mortalityrates, identify causes of death, and reconsider the conjecture that bear densities were naturallyregulated prior to the removal; (3) determinewhethernumbersof subadultmales capturedon the CLSA were indicative of trendsin numbersusing the area;and(4) reinterpretthe Cold Lakestudy with respect to density-dependentpopulationregulation in black bears. STUDY AREA The 218-km2Cold Lake bear study area (CLSA) was located along the Alberta-Saskatchewanborder,240 km northeastof Edmonton,Alberta (Fig. 1). Boundariesof the CLSA were definedby Cold Lake andthe provinceof Saskatchewanto the east, the Medley River and Marie Lake to the west, the PrimroseLake Air WeaponsRange to the north,and by agriculturallands to the south. The CLSA was closed to sport hunting, but bears could be takenby native people. Some bears that used the CLSA also used areas where they could be killed by huntersor to controldepredations. Topographyof the CLSA was generallyflat except near the Medley and Martineaurivers. Elevationrangedfrom 535 to 702 m. Vegetation was dominated by aspen (Populus tremuloides) and mixed stands of aspen and spruce(Picea glauca), which occupied 66% of the landscape. Dominantunderstoryplantsin these areasincluded alder (Alnus spp.), rose (Rosa spp.), and lowbush cranberry(Viburnumedule). The remainingthirdof the area consisted primarilyof muskeg (24%) and spruce (6%), habitatsthatalso dominatedthe landscapeto the east and west of the CLSA. The climate was northerncontinental, with average monthly temperaturesranging from -19?C in Januaryto 17?C in July. Annual snowfall averaged 138 cm, and snow cover usuallypersistedfrom late October to earlyApril. More detaileddescriptionsof the study area have been presentedby Kemp (1972, 1976), Tietje and Ruff (1980, 1983), Young and Ruff (1982), and Pelchat and Ruff (1986). METHODS Bears were captured from April through December, 1968-77, with Aldrichfoot snares(AldrichAnimal Trap Fig. 1. The Cold Lake bear study area (CLSA). Reproduced with permission from The Journal of WildlifeManagement(Tietje and Ruff 1980). POPULATION DYNAMICS OF BLACKBEARS* Sargeantand Ruff Co., ClallamBay, Washington,USA), in culverttraps,by hand (cubs), in dens, and with tranquilizerdart guns. Capturedbearswere immobilizedwith phencyclidinehydrochlorideand weighed. In 1971 and 1972, males >90 kg were euthanized. Bears that were released were marked,when first captured,with colored ear tags and a permanenttattoo,and a premolartooth was extractedfor age determination(Willey 1974). Hereafter,2- and3-yearold bears are referredto as subadultsand bears >4 years of age are called adults. During 1974-77, 56 capturedbearswere equippedwith radiocollarsandlocated daily by triangulationwhen they were withinradiorangeof roads(-5 km). When collared bearsmoved fartherfromroads,they were relocatedfrom aircraftwithin 1 week. We used capturesof bears>2 yearsof age thatoccurred during annual captureperiods of May 1-September 30 for mark-recaptureanalyses. Forthese analyses,we used only capturesaccomplishedwith snaresand culverttraps because othermethods sometimestargetedspecific individuals. WeusedJolly-Seber(J-S)open-populationmodels(Pollock et al. 1990) to estimatenumbersof female bearsusing the CLSA during 1969-76. By limiting this portion of our analysis to females, we eliminatedbias resulting from sex-relateddifferencesin captureprobabilities. To investigate possible effects of age-relateddifferencesin captureprobabilities,we comparedresultsfor all females with a second set based only on adultfemales. Finally,to guardagainst spuriousincreases in estimates that might resultfromthe temporarydepartureof markedbearsfrom the CLSA, we computeda thirdset of estimatesfromcapturehistoriestruncatedin 1974. To facilitatevisual comparisons of trends resulting from these analyses, which were based on different-sizedgroupsof bears,we plotted standardizeddeviatesof estimates(SokalandRohlf 1981) insteadof estimatesthemselves. We could not estimate numbersof males by mark-recapture methods because the experimentalremoval of males resultedin the marking,release, and recaptureof too few. Thus, we used indirect methods to determine whethernumbersof subadultmales capturedannuallyon the CLSA indicated numbersresiding in the area. We inferredtrends in numbersof subadultmales that were presentat least temporarilyfrom numbersof individuals capturedand mark-recaptureestimates of captureprobabilities.Wethenestimatedsettlingratesof subadultmales (probabilitiesof surviving from 1 captureperiod to the next while continuingto use the CLSA) fromgeneralized mark-recapturemodels (Lebretonet al. 1992). Finally, we considered trends in numbersof subadultsand settling ratesconcurrentlyto determinewhethernumbersof subadultscapturedreflectednumbersthatused the study 61 areaon a continuingbasis. We depicted capture histories of individual bears as vectors of 0's and l's, with l's indicatingcapture. Our models representedprobabilitiesof possible capturehistoriesas combinationsof settlingandrecaptureprobabilities (e.g., Lebretonet al. 1992:71). Settling rates were representedby i, k andrecaptureparametersby Pi k where subscripti denotedthe captureperiod and k indexed age class (sa = subadults,ad = adults). Thus, 4i,k was the probabilitya bearin age class k would survive from capture period i to i+l and still be using the CLSA during captureperiodi+l. P, k was the probabilitya bearin age class k would be capturedduringperiod i if it was using the CLSA. Ourfull model was constrainedby 4 sets of equalities: ( = -) 1969,k =4) 1970,k =0 1971,k =. 1976,k 4) k; ci 1968,k 'pre, 4D1972, k =(D1973, k =I) 1974, k D)1975, k -D) post, k P 1969, k =P 1970, k =P 1971,k =P 1976, k =P 1977, k =P pre,k; P 1972, k =P 1973, k =P 1974, k =P 1975,k =P post, k' Constraintsdividedthe studyinto 2 periodsdictatedby the volume of data available, which precludedseparate estimationof every I k and P . Periods corresponded with the pre-removal(1968-71) andpost-removal(197275) periodsdescribedby Young and Ruff (1982), except thatwe placed previouslyunpublisheddatafor 1976-77, when relativelyfew subadultmales were captured,in the pre-removalperiod. We used nested models and likelihood ratiotests to test for significantdifferencesbetween parametersof our full model. We used SURGE4.2 computersoftwareto computemaximum-likelihoodestimates of model parametersand likelihood ratio tests (Lebreton et al. 1992). We used the staggered-entryKaplan-Meier(K-M) estimator (Pollock et al. 1989) to estimate survivalrates of radiomarkedbearsandratiosof age- and sex-specific survival rates. For known or suspectedmortalities,we used the dateof last radiocontactas the dateof death. Records for bearswith unknownfates were terminated(rightcensored) at the date of last radio contact. A log-ranktest, stratifiedby yearandage class, was used to comparerates for males and females. Age classes were comparedafter stratifyingby year and sex. We used 1-tailed tests because we anticipatedhighermortalityratesfor males and subadults than for females and adults. We used SAS PROCPHREG(Allison 1995), for survivalanalyses. RESULTS Ourcriteriafor mark-recapturemodeling(age >2, capturedduringMay-Sep) were met by 692 capturesof 276 individualbears. However, only the first capturewithin each annualcaptureperiod was relevantto our analysis. Afterremovingduplicatecaptureswithinperiods,we were 62 Ursus 12:2001 left with 65 females captured123 times as adults,40 females captured46 times as subadults,93 males captured 136 times as adults,and 125 males captured146 times as subadults.Twenty-threeadultmales and3 large subadult males capturedduring1971-72 were euthanized. Weused Jolly-Sebermodels withtime-specificsurvival and captureprobabilitiesto estimatenumbersof females (Model A of Pollock et al. 1990) because they fit better than models with constantsurvivalprobabilities(Model B: all females X25= 12.3, P = 0.03; adultsonly X23= 10.9, P = 0.01; truncatedcapturehistoriesX23= 8.6, P = 0.03) and models with constant survival and recaptureprobabilities(ModelD: all femalesx213= 27.3, P = 0.01; adults = 25.84, P = 0.02; truncatedcapturehistoriesX28 only %213 = 14.4, P = 0.07). Further,goodness-of-fit was satisfactory only for Model A (all females X29= 4.07, P = 0.91; adultsonly X25= 3.52, P = 0.62; truncatedcapturehistories 24= 3.28, P = 0.51). Estimatednumbersof females (Table 1) were relatively stable from 1968 to 1970, increasedabruptlyduring1971-72, remainedhigh through 1974, then declined abruptly(Fig. 2). The abruptnatureof the increasein estimatednumbers of female bears suggests a change in spatialdistribution, ratherthana changein reproductionor survival. Survival recordsof radiomarkedbears suggest thatmortalitymay have been partiallyresponsiblefor the abruptdecline in 1975 (Table 2). K-M estimates of mortalitycaused by humans were similar for radiomarkedmale and female bears (M:F risk ratio = 1.05, X21= 0.014, P = 0.91) and were not significantlylower for subadultsthanfor adults (ad:sarisk ratio = 0.80, X21= 0.20, P = 0.66). Table1. Estimatednumbersof blackbearsusinga 218-km2 area near Cold Lake,Alberta,1968-77. Estimatesof total numbers(allbears)are fromYoungand Ruff(1982)unless otherwisenoted. Estimatesforfemalesarefromthis study and are based on Jolly-Sebermodels with time-specific survivaland recaptureprobabilities. All bears All females A A N 84 71 N Adult females A SE N a 15.9 21.4 a 2.88 4.36 _a 16.1 17.1 31.6 45.8 9.49 11.38 18.9 40.4 15.60 46.7 1973 24.61 59.1 1974 5.85 25.5 1975 5.26 34.2 1976 c 99bc 1977 aNotestimableby Jolly-Sebermethod bR. L. Ruff, unpublisheddata CLimiteddataprecludedestimation 31.5 41.4 Year 1968 1969 1970 1971 1972 92 75 117 175 136 137 123b 22.9 25.0 S cn w 2- N N0 a: Z -1I 1968 1970 1972 1974 1976 YEAR Fig.2. Trendsinestimatednumbersof bearsusingthe CLSA during1968-77, standardizedfor comparison. Estimates fromYoungand Ruff(1982)are based on maleand female bearsaged >2 years (U). Othersare Jolly-Seberestimates forfemales(age >4years[o];age >2years[.]; capturesprior to 1975,age >2 years[o]). Humanactivitywas the proximatecause of at least 25, bears andprobably28, of 30 deathsthatbefell radiomarked during1974-77. Principalcauses of mortalitywere depredationcontrol (11 deaths) and a combinationof legal huntingby nativepeople andpoaching(11 deaths),which could not be distinguished. Legal sporthunting,a drug overdose, a collision with a train,anotherbear,and other naturalcauses each caused 1 death. Fatesof 3 bearscould not be confirmedby recoveryof a carcassor radiocollar, but each was rumoredto have been shot. The numberof subadultmales capturedon the CLSA was largerduringeach year of 1972-75 (range= 21-25) thanduringany year of 1968-71 or 1976-77 (range= 217; Table3). We believe this resultindicatesa difference in the numberof subadultsthatwere at least temporarily presenton the studyareabecauseestimatedcaptureprob= abilities of subadultswere not significantlyhigher (X%2 1.13, P = 0.29) during the post-removal period (PostAa = 0.55, SE = 0.11) thanduringthe pre-removalperiod(P pre = 0.72, SE = 0.13). SE a 3.11 3.51 5.80 15.63 19.42 27.02 7.24 Table 2. Kaplan-Meierestimates of mortality rates from deaths due to all agents and natural agents only for radiocollared black bears at Cold Lake, Alberta, 1974-77. Year 1974 1975 1976 1977 Naturalmortality SE Rate 0 0 0.079 0.08 0.077 0.03 All mortality SE Rate 0.122 0.14 0.086 0.51 0.087 0.28 0.080 0.24 Bears 11 36 30 26 Deaths 1 16 7 6 POPULATION DYNAMICS OFBLACKBEARS* Sargeant and Ruff Moreover,estimatedsettling rates did not differ enough between periods ( pre,sa = 0.49, SE = 0.10; post, sa= 0.49, sa SE = 0.07) to offset the increasein captures. Thus, numbers of subadultmales using the study area were probably largerduring 1972-75 thanduringotheryears. DISCUSSION Changesin Density Studies of black bears embody most limitations of mark-recaptureanalysis:sample sizes are usually small, capturerates are often low, and necessary assumptions are seldom met. Thus, estimatesof abundanceare often biased andimprecise. In the case thatinspiredthis work, Kemp (1976) and Youngand Ruff (1982) estimatedbear numbersfor each year by averaging6 Lincoln-Petersen estimates, 3 capture efficiency estimates (Meslow and Keith 1968), and 1 estimate obtainedfrom the distributionof capturefrequencies(Hartley1958). Estimateswere stable from 1968 to 1971, increasedabruptlyfrom 1971 to 1973, then declined from 1973 to 1977. Garshelis (1994) subsequently showed how the Lincoln-Petersenestimatescould have been influencedif (1) age class and sex-relateddifferencesexisted in capture rates and (2) the composition of the population changed over time. According to Garshelis(1994), the Lincoln-Petersenestimateswere severely biased and had so much influence on results thattrendsin bearnumbers could have been misinterpreted. Unlike previousanalyses, our J-S estimatesfor female bearswere not affectedby sex-relateddifferencesin capturerates. We believe perceptionsof trendswere robust to age-relateddifferencesbecausethey were affectedonly slightly when we restrictedour analysisto adultfemales. Estimateswere similarfrom 1969 through1970,increased abruptlyduring 1971-72, remainedhigh through 1974, anddeclinedabruptlyin 1975. Thus,ourresults,like those of Kemp(1976) andYoungandRuff (1982), suggestbear Table 3. Numbers of individual black bears captured annually at Cold Lake, Alberta, May-Sep, 1968-77. Males Year 1968 1969 1970 Subadults Adults 2 14 Females Subadults Adults 3 14 9 15 14 0 4 1971 5 14 7 1972 21 17 1973 25 8 8 1974 24 22 17 7 12 31 13 6 7 3 6 7 12 25 18 1975 1976 1977 13 Total 33 14 12 28 45 5 6 32 6 14 58 5 46 44 49 79 51 63 density increasedwhen adult males were removed (Fig. 2). However,neithertheirresultsnorours shouldbe used to calculateactualdensities (i.e., bears/km2).The CLSA was small relative to home range sizes of bears;consequently,the effective area sampled was not known with sufficient accuracy for density estimation (White et al. 1982). Changes in estimatednumbersof females could have resulted from (1) parallel changes in the effective area sampled by trappingor (2) the temporarydepartureof bears markedprior to 1975; however, these alternative explanationsseem comparativelyunlikely.First,distances betweencapturelocationssuggest movementsof females may have been more extensive during1968-71 thanduring 1972-75 (YoungandRuff 1982). Resultingchanges in the effective areatrappedwouldhave dampened,rather than produced,the trendsin our estimates. Second, the abruptincreasein estimatesduring1971-72 persistedeven when we made departureseffectively permanentby truncating capturehistories in 1974. Finally, our results are consistentwith subjectiveperceptionsof field staff from the Cold Lake study,who reporteda notable increase in the frequencyof bearsightingsaftermales were removed. An abruptincrease during 1971-72 in the numberof females using the CLSA neverthelessseems surprising. Typically,adult females monitoredfor >2 years occupy the same home range in successive years (e.g., Alt et al. 1980, Reynolds andBeecham 1980, Powell 1987). Emigrationby females is thought to be uncommon for reasons related to reproductive fitness (Rogers 1987). However, shifts in home ranges of adultfemales are not unprecedented.Forexample,adultfemales monitoredby Lindzey et al. (1986) on Long Island,Washington,USA, adjustedhome rangesandincreasedtheiruse of the adjacent mainlandas bear densities and competition for resourcesincreased. Moreover,the removalof adultmales probablysubjectedbearsto abruptchangesin social pressureor competitionfor resourcesthatwere more extreme thantypicallyoccurwhile individualbearsarebeingmonitored. Female bears radiomarkedwithin the CLSA during 1974-77 sometimesmade long-rangeexploratorymovements (Pelchat and Ruff 1986, R.L. Ruff unpublished data). Presumably,bearsliving nearthe CLSA did so as well and were awarethe areacomprisedprimarilyaspen andaspen-sprucehabitats,a bettersourceof food (Pelchat and Ruff 1986), preferredover muskeg and spruce that dominatedthe surroundingarea (Young and Ruff 1982, Pelchat and Ruff 1986). Thus, habitatdifferences may have motivatedfemale bears from the surroundingarea to make greateruse of the CLSA after adult males were removed. Subadultmales may have been attractedto potentialmates as well as by habitat. 64 Ursus 12:2001 Settlingand Survival Kemp (1972, 1976) and Young and Ruff (1982) noted an increase in numbersof subadultbears caught on the CLSA after males were removed. However, Garshelis (1994) pointedoutthatit was impossibleto tell, fromtheir results, whethersubadultscapturedon the CLSA settled there. Recent advances in mark-recapture analysis (Lebretonet al. 1992) enabledus to estimatecaptureand settling rates. Neither changes in trappingeffectiveness nor changes in settlingrates offset the increasednumber of subadultscaptured.It thus seems likely thatremoving adultmales did, in fact, encouragecontinuinguse of the CLSA by an increasednumberof subadults. Settlingrateswereprobabilitiesthatmarkedbearswould survive from 1 captureperiod to the next and continue using the studyarea. They were not annualsurvivalrates anddid not distinguishmortalitiesfromdepartures.Thus, we were able to estimate annualmortalityrates only for bearsmarkedwith radios during1974-77. Results were surprisingbecause the CLSA was closed to sport hunting. Mortalityrateswere much higherthanthose of previously studied unhuntedpopulations(Bunnell and Tait 1985, Clarkand Smith 1994, Doan-Criderand Hellgren 1996). During 1975-77, mortalityrates equaled or exceeded estimates of the maximum sustainableby black bears (22-24%; Bunnell and Tait 1981). Annualvariationin survivalrateestimateswas substantial,butregulationsgoverninghumanexploitationof bears did not change duringthe study. Thus, immigrationmay have played an importantrole, even priorto the removal of adult males, in sustaining bear densities within the CLSA. This new findinghas importantimplications,because previous interpretationsof this study have been predicatedon the belief thathumanexploitationwas negligible. Bear densitiesmay not have been naturallyregulated at the outset of the Cold Lake study,and high rates of human-causedmortalitymay have contributedto the abruptdecline in density that occurredin 1975. Young and Ruff (1982) previously reporteda more gradualdecline resultingfrom changes in social structureas males maturedon the study area. DensityDependenceand Population Regulation Up to this point, we have used such terms as population, densitydependence,andregulationin the same context as they were used by our predecessors(Kemp 1972, 1976; Young and Ruff 1982). However, these terms are frequentlyused to mean differentthings (Sinclair 1991, Wells and Richmond 1995). Semantic misunderstandings result so frequentlythat evaluating the concept of density-dependentpopulationregulationis largelya problem of determiningwhat ecologists mean by it (Murray 1994). In this section, we hope to define our meaning, and that of our predecessors,in a way that will clarify previousdiscussionandpreventfuturemisunderstandings of events at Cold Lake. Ourpredecessorsdescribeda populationthatcomprised bearsusingthe CLSA (Kemp 1972, 1976;YoungandRuff 1982). Thus, populationgrowth rates were determined by 4 processes:reproduction,mortality,immigration,and emigration. Density-dependencewas indicatedif any of these processeswere influencedby abundance.Unfortunately, this common perspective (e.g., Caughley 1977, Shenk et al. 1998) poses 2 difficulties for interpretation when small "populations"are arbitrarilyspatiallydelimited from larger groups of individuals (Harrison and Cappucino1995). First, the occurrenceof immigration, emigration,and changes in density are scale-dependent (Fig. 3; Wells and Richmond 1995). Second, dynamics of populationnumbers over time are not distinguished from movements of individuals (Allen and Hoekstra 1992), althoughthe distinctionis of critical importance for bearmanagement. To resolve semanticdifficulties,we believe bearbiologists shouldreservepopulationstatusfor disjunct(Wells and Richmond 1995) or, minimally,much largergroupings (e.g., local populations;Goodwin and Fahrig 1998) of bears than was studied at Cold Lake. When populations are defined this way, the criticalprocesses of population dynamicsare birthand death (Allen and Hoekstra 1992); movements of individualsare no less important, butaresaidto influencelocal densitiesandmetapopulation dynamics. Regardlessof how they are defined, populationscannot increasewithoutlimit and seldom dwindle to extinction. Regulationis perhapsbest defined as the tendency of populationsto fluctuate,over the long term,aboutstationarymean densities (Turchin1995). Limitingfactors influence these means (Sinclair 1991). Direct density dependenceis aninverserelationbetweenpercapitapopulation growthrates and presentor past populationdensities (Murdochand Walde 1989, Turchin 1995). Direct density-dependenceis a necessary(butnot sufficient)condition for population regulation (Murdoch and Walde 1989). Like most studiesof blackbears,the Cold Lakeexperimentwas not controlled.Thus,theremovalof adultmales was confounded with other influences on bears of the CLSA. However,the timing, magnitude,anddurationof changes in numbersof bears using the CLSA strongly suggest thatthe presenceof adultmales influencedlocal bear densities. In keeping with their use of population, our predecessors interpretedthis effect as evidence of density dependence. However, we note that (1) effects were documentedonly for a localizedarea;(2) adultmales DYNAICS OF BLACKBEARS* Sargeantand Ruff POPULATION Before a / 0 o0 o\ 0o \ 0 \ 0 0 0 \0 0 After 0 / o0 o0 o 0e Q- o ^ Fig. 3. Demographicconcepts are ambiguouswhen small study populations are arbitrarilydelimited. Removing individualsfrom the circle causes the actual density to declinein the square,but immigration maintainsthe actual densityin the circle. Relativelocal densitiesare increased withinand reducedoutsidethe circle. depresseddensities of bears in othersex and age classes; and (3) interactionswith conspecifics are 1 of many factorsthatmay operateon local densitiesin a relativesense, across a wide rangeof actualdensities. Thus, in keeping with our synthesisof terminology,we concludethatadult males limited relative local densities of female and subadult male bears. Our results do not permit inferences aboutdensitydependenceor populationregulation,as we defined these terms. We could not estimate population growthrates,test for changesin survivalor reproduction, or estimate population densities across an area large enough to encompass effects of the experimentaltreatment. forResearchand Implications Management Until effects on survivalor reproductioncan be documented, we supportthe views of Miller (1990a,b) and Taylor (1994): Sustainableyield projectionsshould not be based on anticipatedincreasesin vital ratesthatmight result from reductionsin black bear populationdensity. Althoughremovingadultmales encouragedbearsin other 65 sex andage classes to use the CLSA, implicationsfor bear harvestmanagementare not obvious. Otherthanreports of a few bearskilled by conspecifics (Kemp 1976, Young and Ruff 1982), we have no evidence that adult males influenced rates of population growth. Moreover, the CLSA was unusual because most hunted areas are not adjacentto large, unhuntedreservoirsof potentialimmigrants(Garshelis1994). At Cold Lake, adult males were removed from a restrictedareaduringa shortperiod. The removalof bears frombroadgeographicareasover long time spansis more typical of huntedblack bear populations. In such cases, hunterharvestsof adultmales are unlikely to cause suddenchangesin thedispersionof subadultandfemalebears. Further,the response observed at Cold Lake may have occurredonly because the CLSA was a populationsink comprisingaspen and spruce habitats,which bears preferredover surroundingmuskeg. Removing males from less desirablehabitatsmight not have a similareffect. Density-dependentpopulationregulationis a topic of special interestto bear biologists interestedin maximizing sustainable harvest rates (McClellan 1993, 1994; DerocherandTaylor1994; Garshelis1994;Taylor1994), buteffortsto conclusivelydemonstratedensitydependence within black bearpopulationsmay be doomed to failure. Formidablelogistical barrierslimit the accuracyandprecision of density estimates. Unambiguousdetection of densitydependenceis difficult(PollardandLakhani1987), even with errorfree estimates,and some tests designedto accommodate sampling error are invalid (Shenk et al. 1998). Moreover,most black bear populationsare studied at moderatedensities,where changes in densityprobably have little effect on reproductionor survival(Fowler 1981a,b; Strong 1986). Finally, even at high densities, regulatoryagentsmay reducesurvivalor suppressreproduction at irregularintervals, so that a "vague"(Strong 1986) relationshipbetweendensityanddemographicperformanceof a populationshouldbe expected. Similarly,density dependenceis difficult to detect by comparing the demographic performance of different populationsthatvary in density. Garshelis(1994) noted some obstacles,includingthe difficultyof measuringrelevantparameterswith sufficientaccuracy,complications that arise from methodologicaldifferences among studies, andfactorsotherthandensitythatinfluencevitalrates. More important,however,is the fact thatcarryingcapacity variesamongpopulations.Thus,densityaloneis likely to be a poorpredictorof demographicperformance,even if compensatoryresponsesarestrongandpopulationdensity can be estimatedaccurately. In largemammals,strongdensity-dependentresponses usually occur only when populationsnear carryingcapacity arereduced(Fowler 1981a,b). Probablyfew man- 66 Ursus 12:2001 aged bearpopulationsare nearcarryingcapacity (Taylor 1994). Thus,muchcurrentinterestin densitydependence and populationregulationmight more profitablybe directed towardfactors that limit growth rates of populations at low densities. The managementsignificance of such factors may be much greater. Relief from factors that limit growth rates can buffer low populationsfrom overharvestand increase sustainableyields, whetheror not density-dependentresponses occur (Gasaway et al. 1992, VanBallenbergheandBallard1994). Althoughwe could not assess effects of adult males on population growth rates, their influence on relative local densities should encouragefurtherstudy of this issue, especially with respectto mortalityratesand causes of deathduring juvenile dispersal. ACKNOWLEDGMENTS Fundingfor this projectwas providedby the Northern PrairieWildlife Research Center of the Biological Resources Division, U.S. Geological Survey (BRD). Administrative support was provided by the BRD CooperativeWildlife ResearchUnit and the Department of Wildlife Ecology at the University of WisconsinMadison. J.D. Clark,D.L. Garshelis,D.H. Johnson,J.D. Nichols, A.B. Sargeant,T.L. Shaffer,and an anonymous refereereviewed and greatlyimproveddraftsof this paper. We especiallythankG.A. Kemp,the late B.F. 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