REVIEWS Ecological Monographs, 80(2), 2010, pp. 197–219 Ó 2010 by the Ecological Society of America Climate, snow, ice, crashes, and declines in populations of reindeer and caribou (Rangifer tarandus L.) N. J. C. TYLER1 Centre for Saami Studies, University of Tromsø, Tromsø N-9037 Norway Abstract. Snow is a major determinant of forage availability for reindeer and caribou (Rangifer tarandus; hereafter Rangifer) in winter and is, consequently, a medium through which climate variation may influence population dynamics in this species. Periodic ‘‘icing’’ of winter ranges, where interludes of mild weather result in formation of crusted snow and basal ice that restrict access to forage, is held to be a cause of mass starvation, catastrophic declines in numbers, and even extirpation of local populations. It has been suggested that warming of the Arctic may result in increased frequency of winters with unfavorable snow and ice conditions, with serious consequences for Rangifer. This paper examines data on major declines in populations of Rangifer to determine the mechanism(s) of these events and the role of snow and ice conditions in them. Thirty-one declines, involving numerical decreases between 25% and 99%, were identified in 12 populations. Declines were of two types: the negative phase of irruptive oscillations, mainly associated with populations introduced into new habitat, and numerical fluctuation in persistently unstable established populations. The mechanisms of decline differed widely in both categories, ranging from wholly mortality to almost wholly emigration. In all cases, the observed dynamics are best interpreted as a product of interaction between internal processes (density dependence) and the external abiotic conditions (density independence). The strength and the form of density independence, parameterized in terms of local weather or large-scale climate, varies widely between populations, reflecting the enormous range of climate conditions across the circumpolar distribution of Rangifer. This complicates the search for abiotic components likely to be consistently important determinants of population growth in the species. There are few data demonstrating the presence of extensive hard snow or basal ice on ranges during winter(s) in which populations declined, and none confirming ice as a ubiquitous and potent agent in the dynamics of Rangifer. Instead, where the simultaneous effects of density-dependent and density-independent factors are examined across the full temporal record of dynamics, climatic conditions associated with increased amounts of snow or winter warming are generally found to enhance the abundance of animals, at least in established populations. Key words: ablation; Arctic; caribou; climate change; global warming; ice; mortality; population crash; Rangifer tarandus; reindeer; snow. INTRODUCTION Understanding of the potency of the effects of environmental variation in the dynamics of populations of large herbivores has been advanced by three recent developments. The first has been the introduction of nonlinear statistical modeling techniques that permit exploration of the concurrent effects of external conditions and density on numbers (e.g., Grenfell et al. Manuscript received 16 June 2009; revised 2 October 2009; accepted 12 October 2009. Corresponding Editor: M. K. Oli. 1 E-mail: [email protected] 1998, Coulson et al. 2000, Ellis and Post 2004, Stenseth et al. 2004). The second has been the incorporation of indices of large-scale climate into such models (Forchhammer et al. 1998, Post and Stenseth 1999), which, besides increasing their explanatory power locally (e.g., Hallet et al. 2004), provide a basis for interpreting largescale ecological responses in the context of global climate change (Forchhammer and Post 2004, Post and Forchhammer 2006). The third has been emergence of the view that environmental stochasticity (density independence) is best integrated into the deterministic (density-dependent) framework rather than being con197 REVIEWS 198 N. J. C. TYLER sidered largely an adjunct to it (Coulson et al. 2001, 2004, Boyce et al. 2006). The types of abiotic conditions incorporated into analyses of population dynamics have, by contrast, changed little. For northern ungulates, these fall into two broad categories. The first consists of conditions that influence animals’ energy expenditure, and hence, their daily requirement for food, in those months when quality and abundance of forage are lowest. Widely used parameters include rainfall, temperature, and wind speed, the selection of which has a solid physiological basis (e.g., Moen 1973, Picton 1984). Thus, increased levels of starvation mortality in red deer (Cervus elaphus) during wet, windy winters (Clutton-Brock and Albon 1982, 1989) reflect the fact that this species is poorly adapted to cold, especially on a low feed intake (Mount 1979). Though the susceptibility of particular species to chilling is often left unstated, the validity of the weather parameters commonly used is, nevertheless, usually evident from their high explanatory power in models of winter survival or population growth (Putman et al. 1996, Hone and Clutton-Brock 2007). Indices of largescale climate may sometimes be biologically more meaningful than particular weather variables, insofar as they integrate conditions across an entire season (e.g., Forchhammer and Post 2004, Hallet et al. 2004, Stenseth and Mysterud 2005), but the physiological basis of the causal relationships between environment and the dynamics so described remains the same. The second category pertains particularly to reindeer and caribou (Rangifer tarandus ssp., hereafter Rangifer). This species has evolved a thick coat of hollow hairs (Timisjarvi et al. 1984) of such remarkable quality as insulation in both still (Nilssen et al. 1984) and moving air (Moote 1955, Cuyler and Øritsland 2002, 2004) that neither calves nor adults are likely to suffer significant chilling in winter save under extraordinarily severe conditions. Consequently, when considering the effects of environmental variation on the dynamics of populations of this species, attention has turned from factors that influence energy expenditure, and hence, food requirements in winter, to those that influence energy gain in terms of access to forage and, specifically, its availability beneath crusted snow and ice. Snow is a major determinant of the availability of forage on Arctic ranges in winter, and there are three principal ways in which Rangifer respond to the difficult foraging conditions that it may sometimes cause. They may change their diet, switching to the kinds of forage, such as arboreal lichens, that remain exposed above the snowpack; they may move to areas where there is little or no snow (and walking on and through snow is itself energetically costly (Fancy and White 1987)); and, most commonly of all, they may dig through the snow to reach the plants beneath (Thing 1977). The efficacy of all three responses is influenced by the depth, density, layer structure, and hardness of the snow pack. These characteristics, singly or in combination, Ecological Monographs Vol. 80, No. 2 influence not only the spatial distribution of the animals, the selection of feeding sites and digging behavior (Henshaw 1968, LaPerriere and Lent 1977, Skogland 1978, Miller et al. 1982, Thomas and Edmonds 1983, Brown and Theberge 1990, Collins and Smith 1991, Johnson et al. 2001), but also the composition and quality of the diet (Adamczewski et al. 1988, Rominger and Oldemeyer 1990, Kumpula 2001), and presumably also the animals’ daily dry matter intake. It follows from this that snow may also influence individual life histories and population vital rates. Snow depth has been shown to influence the survival of reindeer in winter (Kumpula and Colpaert 2003), the timing of parturition (Adams and Dale 1998a) and the birth mass of caribou calves (Adams 2005). Such responses may be direct (nonlagged) or indirect (lagged) owing to the modulation, by snow in winter, of foraging conditions in summer (Post and Stenseth 1999, Forchhammer et al. 2002, Post and Forchhammer 2008, Post et al. 2009b). The epitome of the effects of snow on this species, however, is its potential not merely to influence the dynamics of populations through the modulation of vital rates, but actually to precipitate mass starvation resulting in catastrophic declines in numbers and even the extirpation of local populations (Pinegin 1932 in Formazov 1965, Scanlon 1940, Klein and Kuzyakin 1982, Meldgaard 1986). There is broad consensus that one major cause of catastrophic die-offs of Rangifer is the formation, occasionally over vast areas of the winter range, of hard, crusted snow or layers of ice in the snowpack or on the ground (properly called ‘‘basal ice’’) which restricts the animals’ access to forage (Formozov 1965, Vibe 1967, Krupnik 1993, Miller 1998, Klein 1999, COSEWIC 2004, Kohler and Aanes 2004). Ice crusts can form on Rangifer ranges in several different ways. One is as a result of repeated cycles of thawing and refreezing of the snowpack (e.g., Formozov 1965, Forchhammer and Boertmann 1993, Kohler and Aanes 2004), which in some regions may occur frequently and at any time during winter (Tyler et al. 2008). Another is as a result of freezing rains (e.g., Miller and Barry 2009) or rain on snow (e.g., Putkonen and Roe 2003, Grenfell and Putkonen 2008). A third is by spring meltwater trickling through the snow pack and freezing when it comes into contact with very cold ground beneath (Woo and Heron 1981, Woo et al. 1982). Basal ice between 4 and 18 cm thick has been observed on Prince of Wales Island (Miller et al. 1982) and up to 33 cm at other sites in the Canadian high Arctic (F. L. Miller, personal communication), while ice up to 30 cm thick has been reported on reindeer range in Svalbard (Kohler and Aanes 2004). The maximum thickness of ice, however, is almost immaterial in the present context. Prostrate vegetation that is not merely coated but actually embedded in basal ice is rendered completely inaccessible to hungry reindeer or caribou, irrespective of the depth of the ice layer. Moreover, plants encased in ice will usually remain beyond reach May 2010 SNOW, ICE AND POPULATION CRASHES SELECTION OF DATA Analysis was restricted to numerical declines in populations of Rangifer described by published census data that fulfilled two criteria. First, only ‘‘major’’ declines, defined as those in which the fall in numbers exceeded 25% of the pre-decline population, were considered. This value represents a point above which declines in populations of large mammals appear exceptional in terms of magnitude and rarity (Erb and Boyce 1999). In contrast with two recent studies (Gunn et al. 2003, Reed et al. 2003), no limit was imposed on the duration of declines included in the analysis, but the majority were population crashes over the course of a single winter. In the case of multiyear declines, data were included only where no interval between any two successive counts or estimates of population size describing all or part of a drop in numbers exceeded four years. In fact, with few exceptions, the data for the multiyear declines examined here consisted of uninterrupted series of annual counts or estimates. Thirty-one major declines were found that fulfilled these criteria and which, therefore, were accepted for analysis. These involved decreases in numbers ranging from 25% to 99% described in 12 populations of Rangifer (Figs. 1 and 2). The earliest occurred in the population of reindeer on St. George Island between 1922 and 1929, while the most recent occurred in the Adventdalen population of reindeer on Svalbard during the winter of 2007–2008. Of the 12, six were wild populations (Adventdalen, Banks Island, Bathurst Island Complex, Brøgger Peninsula, Coats Island and the Reindalen Complex), four were to a greater or lesser extent managed semidomesticated herds (mainland Alaska, St. Paul Island, Nunivak Island and Hagemeister Island), and two were feral, i.e., although founded from semi-domesticated stock, the animals were never managed and so returned to a wild state (St. Matthew Island and St. George Island). Seven of the 12 were introduced populations that arose following the liberation of animals into areas where the species did not previously occur, or had been absent for a long time, just a relatively short time (range 6–40 years) prior to their decline(s) described here. Five of the introductions were made onto islands (St. George, St. Paul, Nunivak, St. Matthew, and Hagemeister Islands), one was made onto a peninsula (Brøgger Peninsula), and one was onto mainland (Alaska). The remaining five (Adventdalen, Banks Island, Bathurst Island Complex, Coats Island, and the Reindalen Complex) were long-established, natural populations. The data that describe the temporal pattern of development of the different populations were originally gathered using a variety of methods. These included (1) total counts made (a) on the ground in summer (Adventdalen, St. Paul Island, St. George Island) and (b) in late winter (Brøgger Peninsula), or (c) a combination of aerial survey and foot counts (St. Matthew Island), and (2) estimates based on aerial (Bathurst Island Complex, Banks Island, Coats Island) or foot survey transects (Reindalen Complex). In three cases, estimates seem to have been based on less rigorous REVIEWS until the ice melts in spring (May or June in the high Arctic), which may be weeks or sometimes months hence. Reference to devastating effects of icing on populations of Rangifer is a prominent feature of discussion of the potential consequences of global climate change for this species. It has been suggested that an increase in the frequency of the conditions that cause icing could have a serious impact on both wild and semidomesticated populations (Aanes et al. 2002, Miller and Gunn 2003a, b, Putkonen and Roe 2003, Callaghan et al. 2005, Weller et al. 2005, Helle and Kojola 2008, Miller and Barry 2009; see also Ball 2003, WWF 2008, Vors and Boyce 2009). The supporting evidence, however, is equivocal. Remarkably few measurements have been made of the depth and extent of basal ice on the winter ranges of Rangifer (Miller 1998, Kohler and Aanes 2004). The causes of population crashes are sometimes conjectural (e.g., Gunn 1995) or even unknown (Bos 1967, Stimmelmayr 1994). Two questions deserve clarification. First, what is the evidence for the occurrence of crashes and major declines in populations of Rangifer and in what ecological context do they occur? Second, what is the evidence that severe snow and ice conditions precipitate heavy mortality in this species? This paper examines data on major declines in populations of Rangifer to determine what common features these may have had, and therefore, what common cause(s) they potentially may have shared. There are four aspects: (1) to compare the frequency, duration, and temporal pattern of decline between different populations, (2) to examine the mechanics of decline, i.e., the respective contributions of emigration and mortality (natural and nonnatural) to the overall reductions in numbers, (3) to review data on causes of death, and (4) to examine evidence on the role of snow and ice in promoting emigration or mortality. The analysis reveals that none of 31 major declines identified and considered here has been unusual in the sense of requiring explanation beyond the reigning paradigm for the regulation of the abundance of populations of large herbivores. In every case, the dynamics appear to have been a product of interaction between internal processes (density dependence) and the external conditions including winter weather (density independence). An important aspect is that the strength and even the sign of the density-independent component of observed dynamics seems to vary widely between populations. There appears, moreover, to be little objective evidence that icing of the range is a ubiquitous and potent agent in the dynamics of Rangifer, or even that it is actually the principal cause of drastic population declines at all. 199 REVIEWS 200 Ecological Monographs Vol. 80, No. 2 N. J. C. TYLER FIG. 1. Maps showing the location of populations of Rangifer and other places mentioned in the text. Populations included in the present analysis are in roman type. Other populations or place names are in italics. The geographical range of each population is shown as solid black. The hatched area in panel (B) is the maximum distribution of semidomesticated reindeer on the mainland of Alaska (after Palmer [1945]). protocols (Nunivak Island, Hagemeister Island, mainland Alaska). The data sets are not distinguished in the present paper by method used or level of accuracy achieved, which in most cases is not known, and are all referred to simply as ‘‘counts.’’ None of the estimates of the magnitude of the different declines reviewed here can be more accurate than the counts upon which they are based. This, however, has little bearing on the central argument. In any case, in which counting errors in fact inflated the magnitude of a decline, the absence of fit between the purported event and contemporaneous records of snow or ice would be largely unsurprising. In the reverse situation, where a decline was in reality more severe than reported, the prediction under the null hypothesis is for a strong association between the purported event and icing conditions. Once again, absence of a fit, which is what is generally observed, actually supports the main argument of this study. Population data are presented throughout as numbers. Little is gained by converting these to densities owing to the diversity of habitat types and forage conditions represented in the sample which ranges from alpine meadow/sub-Arctic heath to high Arctic polar desert. Reflecting this, the pre-decline densities of populations that suffered severe levels of decline (.97%) span two orders of magnitude, from to 0.2 caribou/km2 in the Bathurst Island Complex (high Arctic [Miller and Barry 2009]) to almost 20 reindeer/ km2 on St. Matthew and St. Paul islands (sub-Arctic [Gunn et al. 2003]). The problem is exacerbated by the fact that the sample includes populations on the mainland and on parts of large islands, where the determination of population density itself introduces bias owing to the difficulty of defining and measuring the area of the range (Schaeffer and Mahoney 2003). RESULTS Duration and patterns of decline Twenty of the 31 declines consisted of marked falls in number over the course of a single year only (Fig. 2). All of these are described by just two points, each representing one count made in each of two successive years. In the remaining 11 cases the populations declined over a number of years (range 2–18 years). Several of these multiyear events consisted of successive one-year crashes in each year of which losses exceeded 25% of each precrash total (Fig. 2). Eight of the multiyear declines are described by uninterrupted series of single annual counts made in successive years, and in which each year’s total was lower than the preceding one. In three cases (Alaska, St. Paul Island I, and Banks Island), the series of annual counts describing the declines are interrupted by gaps of between two and four years, but in two cases (Alaska and St. Paul Island) the trajectory of the population decline is unambiguous owing to the high frequency of points both preceding its onset and throughout the aftermath. The decline of the population May 2010 SNOW, ICE AND POPULATION CRASHES 201 on Banks Island over 16 years from 1982 to 1998 is described by just seven counts made at intervals of 1–3 years. The largest single interruption in this time series, however, occurred after 1994, at which point the population had already fallen to just 7% of its initial (1982) total, so this gap in the series has virtually no influence on the observed pattern of decline. Each of the seven introduced populations displayed a pronounced irruptive oscillation (sensu Caughley 1970), in which numbers increased rapidly from the moment of liberation up to a single, short-lived peak before undergoing a marked decline over one (Nunivak Island, St. Matthew Island, Brøgger Peninsula) or several years (range ¼ 2–18 yr; St. George Island, mainland Alaska, St. Paul Island, Hagemeister Island). The declines following the initial irruption were smallest in the populations on Hagemeister Island and St. George Island (55% and 75%, respectively) while three populations (mainland Alaska, St. Paul Island I, St. Matthew Island) decreased by .96%. No population died out naturally; those that ultimately went extinct, including the populations on St. George Island, St. Matthew Island, and possibly Hagemeister Island, did so only as a result of human intervention (Scheffer 1951, Klein 1968, Stimmelmayr 1994). Reindeer on the Alaska mainland showed the slowest population rate of decline (r ¼ REVIEWS ! FIG. 2. Time series depicting the development of 12 populations of reindeer or caribou accepted for inclusion in this analysis. Data are the total number of animals in all populations, except for Coats Island, which are from animals aged 1 yr. Solid dots represent annual counts (or estimates) of population size. Counts (or estimates) made in successive years are linked with black lines. Gaps of 2 but 4 years in data describing ‘‘major declines’’ (see Selection of data) are indicated by gray lines. Other missing data are indicated by gray dots. Periods of decline .1 year are indicated by thin dashed lines above each curve. Dates of major declines are given in each graph. Where a population is recorded as having undergone more than one major decline, these and their respective dates are labelled I, II, or III in chronological sequence and are referred to as such in the text. (Owing to their high frequency of occurrence, no dates or labels are given for declines [arrows] in Adventdalen and the Reindalen Complex.) All graphs share a common linear time (x) axis. All data on population size (n) are plotted on linear axes (y), but the population size scale differs between graphs. The upper nine graphs have been set slightly apart to draw attention to the fact that the population trajectories displayed in each of these resemble one or more irruptive oscillations (sensu Riney 1964, Caughley 1970; see Selection of data). Populations that originated through artificial introduction of small numbers of animals into new habitat are indicated by stars. For the graph marked with a superscript A, estimates of numbers at the second (1964) peak in the Nunivak population vary from 15 500 (Bos 1967) to 23 000 (Swanson and Barker 1992). The latter value is shown here. For the graph marked with a superscript B, numbers for the Coats Island population have been generated by multiplying population densities (no./km2) extracted from Ouellet et al. (1996) by the given size of the island (5600 km2). For the site marked with a superscript C, Gates et al. (1986) reported the second crash on Coats Island as having occurred during the winter of 1979– 1980, but Ouellet et al. (1996) argue that most animals probably died in the winter of 1978–1979 (shown here). Sources: St. George Island (Scheffer 1951); Alaska, mainland (Stern et al. 1980); St. Paul Island (Scheffer 1951, Swanson and Barker 1992); Nunivak Island (Bos 1967, Swanson and Barker 1992); St. Matthew Island (Klein 1968); Hagemeister Island (Swanson and Barker 1992, Stimmelmayr 1994); Coats Island (Ouellet et al. 1996); Brøgger Peninsula (Aanes et al. 2000, Kohler and Aanes 2004); Bathurst Island Complex (Tews et al. 2007); Banks Island (COSEWIC 2004); Adventdalen (Tyler et al. 2008); Reindalen Complex (Solberg et al. 2008). REVIEWS 202 N. J. C. TYLER 0.18); the fastest rate was on St. Matthew Island (r ¼ 4.96). In four cases (Brøgger Peninsula, Nunivak Island, Hagemeister Island I, St. Paul Island), the irruptive oscillation was followed by a more moderate fluctuation that reached a peak five (Hagemeister Island II), eight (Brøgger Peninsula II), 20 (Nunivak Island II) and 24 (St. Paul Island II) years after the initial maximum and after which numbers underwent a second marked decline. In each case, with the apparent exception of St. Paul Island II, the population rate of decrease following the second peak was substantially lower than the rate of decrease following the first. How the rate of the second decline on Nunivak Island compares with the first depends on which of the two widely differing estimates of the size of the population in 1964 is accepted (see legend to Fig. 2). The population of reindeer on Hagemeister Island is unique among the seven introduced populations in that it apparently underwent a second irruption in the late 1980s, some 20 years after the first. This irruption apparently terminated in a decline in 1990–1991 and a reported die-off in the winter 1991–1992, after which most of the remaining animals were either moved off the island or were shot (Stimmelmayr 1994). Two established populations each displayed a spontaneous irruptive oscillation. The population of Peary caribou (Rangifer tarandus pearyi) on the islands known as the Bathurst Island Complex in the Canadian high Arctic (which include Bathurst Island, Cameron Island, Île Vanier, Massey Island, Île Marc, Alexander Island, and Helena Island) apparently increased approximately 10-fold over 20 years from 1974 to 1994 before declining by 97% over the following three winters (r ¼1.23, Fig. 2 [Miller 1998, Gunn and Dragon 2002, Tews et al. 2007, Miller and Barry 2009]). The population of barrenground caribou (Rangifer tarandus groenlandicus) on Coats Island also irrupted, increasing approximately 16fold from 1961 to 1974 before declining almost 90% over the next two years (r ¼ 1.00 [Gates et al. 1986, Ouellet et al. 1996]). This oscillation was followed by a more moderate fluctuation in which numbers increased, reaching a peak four years after the initial maximum before undergoing a second marked decline (Coats Island II; Fig. 2). The number of Svalbard reindeer (Rangifer tarandus platyrhynchus) in Adventdalen fluctuated vigorously from year to year, while showing a slow, but accelerating, net increase over three decades (Fig. 2). The time series of annual counts from 1979 to 2008 included seven major population declines, six spanning one year each (range 25–47%) and one net decline of 31.4% over two years (1994–1995 and 1995–1996). The rate of decrease varied across the seven declines from r ¼ 0.19 to r ¼ 0.64 (Tyler et al. 2008). The number of Svalbard reindeer in the Reindalen Complex also fluctuated vigorously from year to year (Fig. 2). The time series of annual counts here from 1979 Ecological Monographs Vol. 80, No. 2 to 2007 likewise revealed seven major declines, all of which spanned one year only (range 28–52%) and in which the rate of decrease varied from r ¼ 0.32 to r ¼ 0.74 (Solberg et al. 2008). The remaining two declines, both in populations of Peary caribou, are demographically isolated incidents insofar as no detailed quantitative records of population size exist prior to their onset save, in each case, for a single estimate made 9 years previously. Numbers on the Bathurst Island Complex decreased by 67% over the winter of 1973–1974 and the population on Banks Island suffered a monotonic decline of 95% between 1982 and 1998. In these cases the population rates of decrease varied from r ¼ 0.19 (Banks Island) to r ¼ 1.10 (Bathurst Island Complex) and hence, fell within the range of rates of decrease recorded in the other ten populations. Mechanics of decline Precipitous declines in numbers, which are the subject of this paper, can result only from very high rates of emigration, mortality, or a combination of both; partitioning losses between these two factors is therefore quite fundamental. Where populations are harvested in whatever form, it is likewise of interest to distinguish between natural and nonnatural mortality. For Rangifer, the former includes chiefly death from starvation in winter and predation, while the latter includes commercial harvesting, sport hunting, and poaching. Published information on the causes of losses in the 12 populations, like that on numbers, is of mixed quality. Data on mortality range from total counts and inspection of carcasses made annually over many years (Adventdalen) to nothing at all (Alaska, Nunivak Island, St. George Island). Consequently, in most reports, the mechanism of population decline has been either ignored or inferred from the shreds of evidence available rather than demonstrated directly. Thirty of the 31 population declines seem, nevertheless, to have been principally a result of heavy natural mortality, although in only one case (St. Matthew Island) was this apparently the sole cause. One major decline seems to have been principally a result of emigration. In every other case (n ¼ 29) the declines seem to have been the result of a combination of natural and nonnatural mortality, with or without emigration, although only in one case (Adventdalen) is it possible to determine the relative importance of these different components. Emigration.—Six of the 15 declines recorded following irruptions occurred in populations confined on islands surrounded by 30–500 km of permanently open water, which obviously represents an insurmountable barrier for even the most determined Rangifer (St. George Island, St. Paul Island I and II, Nunivak Island I and II, and St. Matthew Island; Fig. 1). A further three postirruption declines occurred in the population on Hagemeister Island, which lies 5 km off the mainland of May 2010 SNOW, ICE AND POPULATION CRASHES were harvested regularly prior to and during their decline(s), although detailed information on the number of animals killed each year is available only from St. Paul Island. Here, the level of harvest increased from 5% in 1938, the year the population reached its peak, to 22% in 1940 and 28% in 1941, the second and third years of decline, respectively. No data exist for the remainder of the period of decline, barring a small harvest in 1945, but ‘‘some residents . . . believe that poaching [by troops stationed on the island from 1942 to 1944] was a major cause’’ [of the decline in numbers] (Scheffer 1951). On Coats Island, the mean annual harvest during the period 1968 to 1983, which included the period when both major declines occurred (Fig. 2), was 139 caribou (Gates et al. 1986). This is sufficient to account for between 3% and 15% of the decline in the three annual crashes observed. Bathurst Island was the principal caribou hunting area for the Inuit of Resolute prior to the decline of the population in 1973–1974, after which a voluntary ban was imposed on hunting caribou there (Miller 1998). Hunting resumed in 1989, but the annual harvest in the Bathurst Island Complex during the six years up to 1995 was ,25 caribou (Gunn et al. 2006), and could not, therefore, account for .3% of the decline in numbers from 1994 to 1995. Hunters killed ;85 animals in 1995–1996 (Miller 1998), equivalent to 5% of the decline in numbers in that year. The population on Hagemeister Island was harvested sporadically throughout its existence, but the only data available on the number of animals killed are for the autumn of 1992, which marked the start of the deliberate extermination of the population (Stimmelmayr 1994). The populations on St. George Island, St. Matthew Island, and the Brøgger Peninsula were not harvested at the time they declined. The data from the nonirrupting populations are likewise somewhat heterogeneous. Approximately 1000 caribou were shot on Banks Island during five calendar years, 1987–1991, when numbers fell from 4251 (in 1987) to 1469 (in 1992 [Nagy et al. 1996, COSEWIC 2004]). The resolution of the data here, however, is not sufficient to determine the population rate of mortality due to hunting. In Adventdalen, where all new carcasses within the normal annual range of the population were counted and examined for cause of death every year from 1979 to 1984 and from 1988 to 2008, the annual number of deaths from nonnatural causes (range, n ¼ 7– 29 reindeer) represented between 3% and 8% of the gross decline in numbers in crash years (where gross decline is the difference between the total population in year t 1 and the population less calves born in year t). The corresponding population rates of nonnatural mortality ranged from 1% to 3% (N. J. C. Tyler, unpublished data). Approximately 1700 reindeer were shot in the Reindalen Complex between 1983 and 2008 (Pond et al. 1993, Irvine et al. 2000, Côté et al. 2002; Records of the Governor of Svalbard, unpublished data) including on average ;70 reindeer (range ¼ 50–90 reindeer) in crash REVIEWS Alaska (Fig. 1). Even this, however, seems beyond the aquatic range of Rangifer. The mean width of routes across the sounds in northern Norway which herds of semidomesticated reindeer once swam twice annually when moving between mainland and island pastures, for instance, is 2.3 km (maximum 4.2 km [Paine 1994]). Finally, the spatial extent of reindeer herding operations on mainland Alaska contracted massively during the postirruptive decline (Stern et al. 1980). In these 10 instances, therefore, emigration can be excluded as a factor contributing to the decline(s) in numbers. The Canadian Arctic islands, by contrast, are linked by sea ice in winter, enabling the caribou to move between them on a scale sufficient to influence the dynamics of local populations (Miller et al. 1977, 2007). Similarly, despite its remote location, the population of caribou on Coats Island is indigenous, and so animals must have walked there across sea ice at some stage in the past, probably from Southampton Island some 70 km away. There is, however, no suggestion that either of the two declines in numbers observed in this population in the 1970s was exacerbated by an exodus of animals from the island (Gates et al. 1986, Ouellet et al. 1996). There is evidence of caribou leaving Bathurst Island across sea ice during the 1994–1995 and 1995–1996 declines, but although the numbers of animals that moved is unknown, in the absence of evidence to the contrary emigration is not thought to have been a major component of the decline of the population there between 1994 and 1997 (Miller 1998, Gunn and Dragon 2002, COSEWIC 2004). The Brøgger Peninsula is an exception among the irrupting populations. In this case, numbers fell from 360 reindeer prior to calving in 1993 to 78 reindeer 12 months later, yet there was no evidence of heavy mortality. Just 20 carcasses were found following the crash (Fuglei et al. 2003). Such a meagre tally of carcasses, together with the appearance of reindeer in previously unoccupied areas close (;4 km) to the peninsula (Blomstrand Peninsula and Sarsøyra; Fig. 1E [Henriksen et al. 2003, Hansen et al. 2007]), makes it impossible to reject the possibility that the decline was principally a result of reindeer leaving the area by walking across sea ice or even over glaciers. Emigration probably also contributed to the declines in numbers in nonirrupting island populations. Thus, Inuit hunters believed that caribou moved off Bathurst Island during the crash winter of 1973–1974 (Fig. 2 [M. M. R. Freeman, unpublished manuscript, as referenced in Miller et al. 1977]). There is also abundant evidence of caribou walking over the ice to and from Banks Island, and although no numbers are available, emigration was suspected as having contributed to the prolonged decline of this population during the 1980s and 1990s (Nagy et al. 1996). Nonnatural mortality.—At least five of the irrupting populations (mainland Alaska, Bathurst Island Complex, Coats Island, Nunivak Island, and St. Paul Island) 203 REVIEWS 204 N. J. C. TYLER years. Hunting mortality, therefore, represented between 11% and 56% of the net decline in numbers (i.e., the difference between the total population in year t 1 and year t) in crash years in this area. The corresponding population rates of mortality from hunting in these years ranged from 6% to 15%. Natural mortality.— 1. Carcass counts.—Fifty-six carcasses counted on the Bathurst Island Complex in June 1995 represent 2% of the estimated postcalving populations in the preceding summer (Gunn and Dragon 2002). The 241 carcasses examined on St. Matthew Island represent approximately 4% of the total number of animals lost (Klein 1968). An estimated 150 carcasses seen on St. Paul Island in the spring of 1940 represent ;8% of the population there the previous summer (Scheffer 1951). The magnitude of the decline of reindeer on the Brøgger Peninsula during the winter of 1993–1994 is not known, because no postcalving census was made in 1993. The best estimate, based on the difference between late winter surveys made in each of the two years, indicates a loss of not less than 282 reindeer. Twenty carcasses found in 1994 following the crash (Fuglei et al. 2003) represent 7% of this value and 6% of precalving population in 1993. Results from more rigorous counts are qualitatively similar. Thus, systematic aerial survey of the Bathurst Island Complex in 1996 and 1997 yielded 143 and 82 carcasses, respectively, which represented 7% and 15%, respectively, of the estimated postcalving populations in each of the preceding two summers (Gunn and Dragon 2002). A systematic aerial survey of Coats Island made following the 1974–1975 crash revealed 702 carcasses (Gates et al. 1986), equivalent to ;11% of the population (less calves) observed in the previous summer (Ouellet et al. 1996). Estimates of mortality were made in 3 of the 16 years (1982–1998) of the decline on Banks Island. McLean and Fraser (1992) and Fraser et al. (1992) counted 29 and 6 carcasses during aerial surveys there in 1989 and 1991, respectively, and estimated total mortality for 1988–1989 and 1990–1991 at 300 and 60 caribou, respectively. No estimates of population size exist for 1988 and 1990, and the data cannot therefore be expressed as rates of mortality. An estimate of 100 deaths in 1987–1988 (B. McLean, unpublished data, in Nagy et al. 1996) is equivalent to 2% of the population estimate for 1987 (COSEWIC 2004). On average, 30 carcasses (range ¼ 1–70 carcasses) were counted in summer following six of seven population crashes in the Reindalen Complex, representing between 0.5% and 44% of losses in each crash; the corresponding population rates of natural mortality ranged from 0.2% to 12% (Solberg et al. 2008). Data from Adventdalen are broadly similar. Here, on average 136 carcasses (range ¼ 71–178 carcasses, natural deaths only) were counted following crashes. These represented between 20% and 69% of recorded losses; the corresponding population rates of natural mortality ranged Ecological Monographs Vol. 80, No. 2 from 7% to 21% (mean ¼ 13%; N. J. C. Tyler, unpublished data). 2. Estimates of mortality.—Using data from the carcass counts just described, Miller (1998) and Gunn and Dragon (2002) estimated that 1143 and 408 caribou died on the Bathurst Island Complex during the winters of 1995–1996 and 1996–1997, equivalent to 52% and 74%, respectively, of the estimated postcalving populations in the summers of 1995 and 1996, respectively (Miller 1998). Likewise, the estimate by Gates et al. (1986) of 4415 caribou having died on Coats Island during the 1974 –1975 crash represents a rate of mortality of 71%. Stimmelmayr (1994) estimated 276 carcasses on Hagemeister Island in June 1992, equivalent to 29% of the estimated postcalving population in 1991. There appear to be no published data on rates of mortality during the declines of the populations in Alaska, on St. George Island, St. Paul Island II, Nunivak Island (I and II), Hagemeister Island (I and II), Coats Island (II) or on the Brøgger Peninsula (II). Causes of death.— 1. Direct evidence.—Cause of death was determined for cases of natural mortality following 12 of the 31 population declines considered here. In Adventdalen, where all carcasses (n ¼ 931 carcasses) of reindeer that died during six of seven crash years were inspected, 79% of deaths (including 91% of natural deaths [n ¼ 812 deaths]), were attributed to starvation in winter (Tyler et al. 2008). The second most important cause of winter mortality, physical trauma resulting from animals falling down cliffs, accounted on average for 2% (range ¼ 0– 3%) of annual mortality in crash years (Tyler 1987; N. J. C. Tyler, unpublished data). Gates et al. (1986) concluded that ‘‘winter starvation is common on Coats Island,’’ based on examination of 34 carcasses altogether (0.5% of estimated losses) found following the two crashes there. Klein (1968) concluded that starvation was ‘‘the cause of death’’ during the 1963–1964 crash of the population on St. Matthew Island, based on the absence of fat in the medullae of the long bones of carcasses (sample size not given) that he examined there in 1966. Stimmelmayr (1994) examined 54 carcasses on Hagemeister Island in 1992, the second year of the third decline there, and concluded that most of these and, by inference, the remaining 222 reindeer thought to have died that year, had probably starved to death. Six caribou carcasses (1% of estimated losses) were inspected on Bathurst Island following the 1973–1974 crash; all six were thought to have died ‘‘after the winter’’; three had been killed by wolves, and three were judged to have died from ‘‘malnutrition’’ (Parker et al. 1975). A further six carcasses (0.2% of estimated losses) were inspected in the Bathurst Island Complex following the 1995–1996 crash; the ultimate cause of death in this case was considered to be ‘‘prolonged extreme malnutrition’’ (Miller 1998). It is thus apparent that not only has cause of death been determined in rather less than half May 2010 SNOW, ICE AND POPULATION CRASHES of all declines, but also that even in these, postmortem examination was generally carried out on only a tiny fraction of the animals believed to have been lost. 2. Inference.—There are few quantitative or even qualitative data on causes of death in any of the remaining cases. Starvation was probably prevalent in those populations that suffered negligible predation and only modest (St. Paul Island, Nunivak Island, Reindalen Complex) or no harvest (St. George Island and the Brøgger Peninsula). Data from the Reindalen Complex, in particular, bore a striking resemblance to results from Adventdalen, where starvation was shown to be the principal cause of death. In both areas the ages at death of animals whose carcasses were inspected following crashes were bimodally distributed, being largely restricted to very young (,1 yr) or old (7 yr) individuals (Tyler 1987, Solberg et al. 2001). Notwithstanding the three estimates of winter mortality on Banks Island, Nagy et al. (1996) concluded that there was no evidence of ‘‘substantial die-offs’’ having occurred, but that several mortality factors including hunting, ‘‘severe winters’’ (presumably meaning starvation), and predation contributed jointly to the decline of the population. Snow and ice annual sum of precipitation during days with temperature .08C from October to May, inclusive, in an analysis of the dynamics of reindeer in the Reindalen Complex. In neither case was the proxy estimate accepted for inclusion in the resulting autoregressive models of variation in population growth, though Solberg et al.’s (2001) icing index was able to explain part of the variation in demographic variables. Tyler et al. (2008) used an ablation index as a proxy in their analysis of the temporal dynamics of the population of reindeer in Adventdalen. This index quantified the heat input for the melting of snow in terms of the sum of sensible heat [ambient temperature 3 mean wind speed] during periods of mild weather (.08C) in winter (see also Tyler and Forchhammer 2009). Contrary to expectation, there were positive associations between ablation and both the survival of reindeer in winter and the subsequent abundance of reindeer in summer. The effects were apparent in years when the population increased (Rt . 0) but ablation had no effect on survival or numbers in years when the population declined (Rt 0). No direct assessment of snow hardness and ice conditions was made during first 10 years (1982 to 1992) of the decline of caribou on Banks Island, when the population fell from approximately 11 000 to 1400 animals. Nagy et al. (1996) referred in the legend of their Fig. 3 to three ‘‘winters which had freezing rains’’ during this period. These were the three years in which dead caribou were reported (see Carcass counts) but no data on prevailing weather conditions were provided either in the text of their paper or in the original fieldwork reports (Fraser et al. 1992, McLean and Fraser 1992) on which this single mention of the ‘‘freezing rains’’ was based. Four studies used snow depth as a proxy of range conditions in crash years, although with varying degrees of rigor. Klein (1968) used the greatest accumulation of snow on the ground during the latter half of the winter of 1963–1964, which is when the die-off of reindeer on St. Matthew Island is believed to have occurred. Lacking local measurements, he used data from Nunivak and St. Paul Islands, each of which are ;350 km distant. The values for February to April 1964, inclusive, were the highest recorded at both stations in 20 years, while the average temperature for February was the lowest and second lowest, respectively, at each, as well. Reviewing the status of Peary caribou on the western Queen Elizabeth Islands in the early 1970s, including the decline of caribou in the Bathurst Island Complex during the winter of 1973–1974, Miller et al. (1977:14) pointed out that no information on ‘‘. . . the type of snow cover nor the incidence of ground-fast ice or ice layering is available for the western Queen Elizabeth Islands.’’ They emphasized this, commenting that ‘‘. . . we have no quantitative measures of range condition’’ (Miller et al. 1977:46), and it is presumably for this reason that they did not elaborate their observation that ‘‘. . . fragmentary weather data and REVIEWS With two exceptions, none of the publications in which any of the 31 population declines considered here were originally reported include any observations, either objective measurements or subjective assessments, of hard or crusted snow or ice on the range in the years of decline. Scheffer’s (1951) report of the rise and fall of the herd of reindeer on St. Paul Island is one exception. His account states that in 1940, the third of the 12 years of the decline, ‘‘According to the island records . . . a crust of glare ice remained on the snow for several weeks . . . .’’ That is all. The other exception is Larter and Nagy’s (2000) study on Banks Island, in which systematic measurements of the depth and hardness of snow were made through five successive winters. Their results, however, throw little light on the role of snow and ice conditions in the decline of the population of Peary caribou on that island, because numbers had already fallen by 87% before data collection started in October 1993. Moreover, despite freezing rain reported early in winter that year and a mean value of snow hardness that was 25 times greater than in the following four winters, there was no die-off and the rate of survival of calves over the winter was the highest they recorded. In the absence of any direct assessment of snow hardness and ice conditions, three studies developed proxies, based on data on the meteorological conditions thought likely to cause icing, which were incorporated into retrospective analyses of patterns of population growth. Aanes et al. (2000) examined the effect on the rate of increase of the population of reindeer on the Brøgger Peninsula of the number of days in winter (October to April inclusive) each year in which temperature was 08C. Solberg et al. (2001) used the 205 REVIEWS 206 N. J. C. TYLER Ecological Monographs Vol. 80, No. 2 FIG. 3. Magnitude of population declines (%) in relation to the duration of the pre-decline periods of growth (time to peak, in years) in different populations of reindeer and caribou (data from Fig. 2). Time to peak is the interval from the year of introduction or the first datum following the last recorded decline, as appropriate, to the year of peak numbers at the onset of each current decline. Observations are in three classes (type of dynamics): declines following irruptions (solid circles); in subsequent dampened oscillations or following a second irruption (gray circles); or in a fluctuating, persistently unstable established population (Adventdalen, open circles). empirical evidence, however, suggests a series of consecutive years with early, deep snow cover; above average snowfalls; late winter, deep snow cover; lingering snow melts and in some years ground-fast ice, ice layering in the snow and heavy crusting of the snow all made forage unavailable and restricted’’ (Miller et al. 1977:46–47). Twenty years later, following the decline in numbers there from 1994 to 1997, Miller (1998:49) observed that ‘‘. . . all years known to be associated with severe mortality . . . are linked to winters with significantly greater . . . than average total snowfall.’’ Miller and Gunn (2003a, b) subsequently showed that the four largest known annual declines in numbers of the caribou in Bathurst Island Complex (1973–1974, 1994–1995, 1995–1996, 1996–1997) occurred during four of the five snowiest winters (in terms of ‘‘total snowfall’’ in winter) recorded at Resolute (1947 to 2002) some 160 km distant (see also Miller 1998:5). Gates et al. (1986) and Ouellet et al. (1996) were also obliged to use meteorological data from a remote station (Coral Harbour on Southampton Island, some 140 km distant) for their analyses of the dynamics of the population of caribou on Coats Island. The former showed that throughout the winter of 1974–1975, when the population suffered its greatest single crash (Coats Island I; Fig. 2), snow depth at Coral Harbour was substantially above the mean for the period 1970–1980. No data are given for the second winter of that decline. By contrast, in the winter of 1979–1980, which, according to their report, was when the second crash occurred (Coats Island II [Fig. 2]), the depth of snow at Coral Harbour was substantially below the same 10-year mean, although they stated that ‘‘based on subjective observations snow appeared sufficiently deep [on Coats Island] in April to limit access to forage’’ although ‘‘[t]here was no evidence of ice layers or ground fast ice in the snow column’’ (Gates et al. 1986). In apparent contradiction, Ouellet et al. (1996) found that total snowfall was substantially below a 20-year (1971–1990) mean in both 1974–1975 and 1978–1979 (the winter in which they believed the Coats Island II crash in fact occurred) and, similarly, their ‘‘Relative winter severity index’’ was very low (i.e., favorable) in both winters. Both values for the winter of 1975–1976 (the second year of the Coats Island I decline) were close to the 20-year mean. Finally, commenting on the death of reindeer on Hagemeister Island in the winter of 1991–1992, Stimmelmayr (1994) reported a local observation that ‘‘snowfall was greater than in other years.’’ May 2010 SNOW, ICE AND POPULATION CRASHES DISCUSSION Major declines of populations of Rangifer fall into two categories: irruptive oscillation, which is mainly associated with populations introduced into new habitat, and numerical fluctuation in persistently unstable established populations. The mechanics of decline appear to differ widely within both categories, ranging from wholly mortality to almost wholly emigration, albeit that data on this, like those on the extent and causes of mortality, exist in only a few cases and are largely fragmentary even in these. A conspicuous feature of the studies examined here is the virtual absence of data confirming the presence of hard snow or basal ice on the range during winter(s) in which populations declined. In the only case in which the depth and hardness of snow was measured in the field contempo- raneously with the collection of demographic data on caribou, apparently exceptionally unfavorable conditions were associated with high survival over winter (Larter and Nagy 2000). Moreover, it has been common practice to consider declines almost as integral phenomena, in effect removing them from their ecological context before attempting to explain them. In the few cases where a holistic approach has been adopted, i.e., using time series analysis to examine the simultaneous effects of density-dependent and density-independent factors across the full temporal record of dynamics, climatic conditions associated with increased amounts of snow or with winter warming have been found to enhance the abundance of animals, at least in established populations. Two classes of decline The commonest class of major decline in populations of Rangifer is the fall in numbers during the negative phase of an irruptive oscillation. Nine of the 12 populations considered here irrupted (sensu Caughley 1970), seven of them following the introduction of animals into novel habitat. In all nine, numbers described a pronounced asymmetric cycle consisting of a steady increase over several years followed by a marked decline. The duration of the decline phase varied considerably, ranging from a single winter, as in the spectacular crashes of the populations on Nunivak Island I, St. Matthew Island, and the Brøgger Peninsula I, to steady declines lasting as much as 18 years (Alaska; Fig. 2). With the exception of the population on Hagemeister Island, the irruptive oscillation was a unique phenomenon in the development of each introduced population, although in five cases (St. Paul Island, Nunivak Island, Hagemeister Island I, Coats Island, and the Brøgger Peninsula) it was followed by a second, dampened oscillation. Taken together, falls in numbers following irruptions and the associated secondary oscillations account for 15 of the 31 population declines recorded here. The second common type of decline is the negative phase of numerical fluctuations in persistently unstable established populations. Declines of this type represent 14 of the 31 reported here, and in contrast with irruptive oscillations, they were far from unique in the populations in which they occurred. Each of two fluctuating populations, both in Svalbard (Adventdalen and the Reindalen Complex), displayed seven declines in 30 years’ continuous observation, representing a mean frequency of one crash approximately every 4 years in each population (Fig. 2). The two populations might be considered special cases because, unusually among wild populations of Rangifer, they suffer little hunting and negligible predation. Such circumstances, however, would normally be expected to exacerbate rather than ameliorate the effects of weather on numbers, besides which a similar pattern of growth has been observed in populations of caribou in west Greenland, albeit REVIEWS I am not aware of any published information on snow or ice conditions in relation to the declines in numbers of reindeer on mainland Alaska, on Hagemeister Island (I and II), on Nunivak Island (I and II), on St. George Island, or on St. Paul Island (II). There are three cases in which icing, though not initially presented as an explanatory variable, has subsequently been advanced as a major cause of observed declines. Thus, the original report of the irruption of reindeer on Brøgger Peninsula from 1978 to 1998, including the huge fall in numbers in 1993– 1994, made no reference to icing (Aanes et al. 2000). Nor was any relationship found between the annual rate of increase of the population and the conditions believed to be associated with the formation of basal ice. Aanes et al. (2000) concluded, instead, that precipitation in winter was a major determinant of variation in the annual rate of increase. In a subsequent paper reporting the same irruption and crash, Aanes et al. (2002) mentioned an ‘‘ice-crust,’’ which was believed to have formed over the range during rainy weather in November 1993, and they now attributed the crash to this, instead. Two years later, Kohler and Aanes (2004), carefully emphasizing the paucity of records of basal ice in Svalbard, developed a model in which a ‘‘ground-icing parameter’’ best explained fluctuations in reindeer numbers on the Brøgger Peninsula. The two other cases are the declines of caribou in the Bathurst Island Complex during 1973– 1974 and 1994–1997. The original report of the 1973– 1974 decline included no data on weather conditions (Miller et al. 1977), while the first report of the 1994– 1997 decline included only data on, and emphasized the role of, ‘‘total snowfall,’’ which was significantly greater than average in those years (Miller 1998:49). As in the case of the crash on the Brøgger Peninsula, emphasis on ice appeared later. Four subsequent reports unambiguously attributed the declines in numbers of caribou in the Bathurst Island Complex to the effects of deep snow and ice without, however, supporting the revised claim with new data (Gunn Miller and Nishi 2000, Gunn and Dragon 2002:68, Gunn et al. 2003, COSEWIC 2004). 207 208 N. J. C. TYLER reflected in a proxy of population size (Forchhammer et al. 2002). Hence, persistent instability is not a peculiar feature of high-Arctic populations of Rangifer, or those that suffer little persecution. The declines of populations of Peary caribou in the Bathurst Island Complex in 1973–1974 and on Banks Island between 1982 and 1998 do not readily fit either category. In both cases there are simply too few counts prior to and following the decline to place its trajectory in a broader numerical context. The sustained decline on Banks Island is unique among the five established populations in the present sample by virtue of its duration (16 years). Without exception, all the other declines in established populations, whether irrupting (Bathurst Island Complex II, n ¼ 1) or fluctuating (Adventdalen and the Reindalen Complex, n ¼ 14) were precipitous, lasting generally only one year, and never more than three years. REVIEWS De-demonizing declines Classifying declines in this way to a large extent dedemonizes their significance in the temporal pattern of the growth of populations of Rangifer, while not, however, diminishing it. Neither class of decline presents any challenge to, nor requires any explanation beyond, the reigning paradigm for the regulation of abundance in populations of large herbivores. Though several of the accounts are meagre and the data sparse, in every case the observed dynamics are consistent with numbers responding to the simultaneous effects of competitive interactions between individuals (density dependence) and climate perturbations (density independence) according to principles that have been tested and explored in detail in many species of large herbivores (e.g., red deer [Forchammer et al. 1998], Soay sheep [Ovis aries; Grenfell et al. 1998, Coulson et al. 2000, 2001, Stenseth et al. 2004], moose [Alces alces; Post and Forchhammer 2001, Ellis and Post 2004], and Rangifer [Post 2005, Forsyth and Caley 2006, Tyler et al. 2008]). Without exception, all the really spectacular declines, ranging in size from 52% to 99% and therefore ‘‘cataclysmic’’ sensu Miller (1998), were associated with population irruptions. A remarkable feature of these declines is the variety of ecological circumstances under which they occurred. The irruptions occurred in a mainland, a peninsula, and seven island populations; in the high Arctic and in the subArctic; in introduced and in established populations; in semidomesticated, feral, and wild populations, some of which were heavily harvested while others were free of persecution. No less remarkable is the fact that, notwithstanding their ecological diversity, in every case numbers described a trajectory which, from the initial steady increase to the subsequent marked decline, closely matches the main features of Riney’s (1964) sketch of the numerical response of populations of large herbivores adjusting to the carrying capacity of their environment or, as we are more inclined to express it today, responding to an Ecological Monographs Vol. 80, No. 2 abundance of forage (see also Caughley 1970, 1976, Caughley and Lawton 1981, Forsyth and Caley 2006). In this model, which Riney (1964) considered generally applicable, irruptive oscillation is regarded as a direct consequence of the interaction between a population and its food supply, and the postirruptive decline in numbers, in particular, is viewed primarily as a result of the depletion of resources caused by the animals themselves. The situation is complicated at high latitudes by the fact that the per capita supply of food in winter is a function not only of the standing crop of edible plants, but also of the characteristics of the snowpack that determines the availability of forage for the animals (Vibe 1967, LaPerriere and Lent 1977, Skogland 1978, Miller et al. 1982, Adamczweski et al. 1988, Miller 1998). Nevertheless, in six of the irrupting populations (mainland Alaska [Palmer 1926, 1934, Stern et al. 1980]; St. Paul Island [Scheffer 1951]; Nunivak Island [Bos 1967]; St. Matthew Island [Klein 1968]; Hagemeister Island [Swanson and Barker 1992, Walsh et al. 2007]; Brøgger Peninsula [Hansen et al. 2007]), the initial rise in numbers was shown to have been accompanied by heavy exploitation of the natural forage, especially lichens. In all these cases, therefore, the fundamental, and predictable, cause of the cessation of the irruption and of the subsequent decline in numbers was almost certainly the depletion of resources (see also Leader-Williams 1988). Moreover, on the Brøgger Peninsula, which is the best documented of those six cases, the environment has shown signs of recovery during the immediate postirruptive phase, with an increase in the cover of important forage species, exactly in accordance with the prediction of Riney’s model (Hansen et al. 2007). Little is known about the role of plant–herbivore interaction in the two remaining cases (St. George Island and Bathurst Island Complex II) because range conditions were not evaluated at the time. It is reasonable to assume both that the reindeer enjoyed an abundance of forage at the time of their liberation onto St. George Island, and that this was principal cause of the ensuing irruption. However, the impact of the animals on the vegetation was never documented: Scheffer’s (1951) comment that ‘‘lichens are still present in fair amounts’’ tells us little, because it refers to the situation on the island almost three decades after the peak of the irruption. There are no data on changes in the biomass or cover associated with the irruption and decline of the population of Peary caribou in the Bathurst Island Complex. Two decades ago Leader-Williams (1988) pointed out that Riney’s (1964) model does not explain the dramatic population crashes seen among some introduced populations of reindeer. He singled out the crash on St. Matthew Island as a case in point. Today, we might also include, for instance, the crashes on Coats Island (I), on the Brøgger Peninsula (I), and in the Bathurst Island Complex (II), albeit that one of these was not on an island, and the latter occurred in an established May 2010 SNOW, ICE AND POPULATION CRASHES ecological systems. In both cases, the erratic pattern of growth has been shown to be a consequence of the simultaneous and interactive effects of weather and population density on the annual schedule of survival and fecundity (Solberg et al. 2001, Tyler et al. 2008). The dynamics are complex, reflecting the fact that the relative strengths of the density-dependent and the density-independent processes acting on numbers are not fixed but vary between different phases of population growth (Tyler et al. 2008). This observation, however, only reinforces the view that the erratic pattern of growth is in no sense ecologically aberrant and begs no explanation outside the conventional model. The present observations (Fig. 2) are, in fact, not merely consistent with the view that the trajectory of population growth is governed chiefly through the dynamical relationship between the animals and their resources, as originally outlined in Riney’s (1964) model, but actually provide support for it. The test is whether the magnitude of decline principally reflects the level of depletion of resources, irrespective of other considerations including the form of management (semidomesticated or wild population), predation/hunting pressure, and even abiotic forcing. A key assumption is that the level of depletion of resources is proportional to the duration of the population growth phase prior to each major decline. Comparison across populations reveals a strong influence of duration of the pre-decline period of population increase on magnitude of decline, albeit with type of dynamics as a major contributing factor. Proportional declines have been largest following initial irruptions, smallest in population fluctuations and intermediate following secondary, dampened oscillations (Fig. 3). The consistency of this relationship across populations implicates the action of a common factor in determining the magnitude of major declines in populations of Rangifer. Cumulative effect of sustained grazing is obviously a prime candidate for this. Moreover, the fact that secondary oscillations have been detected in some postirruptive populations of Rangifer, a species so obviously far removed from those Riney (1964) considered, is a wonderful confirmation of the general applicability of his model. Their existence in populations of Rangifer emphasizes the fundamental importance of the dynamics of plant–herbivore interactions in determining the trajectory of population irruptions in large herbivores in general. Another notable feature of the examples drawn together here is the diversity of ways in which populations in fact decrease in size. The crash of the population of reindeer on St. Matthew Island is the only one among all 31 major declines that was unequivocally wholly a result of natural mortality. In every other case one or more factors, including emigration, hunting/ harvesting, predation, and starvation, contributed to the drop in numbers (e.g., Scheffer 1951, Gates et al. 1986, Nagy et al. 1996, Gunn and Dragon 2002). Even the few cases supported by direct evidence of heavy natural REVIEWS population. Emigration and climate, he suggested, probably modified the form of population declines on some islands (Leader-Williams 1988). Gunn et al. (2003) revived this argument, suggesting that there is a qualitative as well as a quantitative difference between a postirruptive decline (sensu Riney 1964) and a population crash. Their definition of a crash (‘‘at least a 30% decrease in the estimated population size in 1 year’’) comfortably embraces the declines on St. Matthew Island (99%), both years of the 1974–1976 decline on Coats Island (71% and 53%, respectively), on the Brøgger Peninsula (I: 78%) and all three years of the 1994–1997 decline on Bathurst Island Complex (33%, 75%, and 86%, respectively). The abruptness of a ‘‘crash,’’ they pointed out, contrasts sharply with the relatively slow rate of the postirruptive decline described in Riney’s (1964) model, the period of which is approximately half that of the phase of population growth it succeeds (see Forsyth and Calow 2006). The difference, in their view, was that while the postirruptive decline is by definition a product of the dynamical relationship between animals and their food supply, populations of Rangifer crash owing to shortage of food caused principally by ‘‘extreme environmental variation,’’ in particular ‘‘exceptionally severe snow and ice conditions.’’ In their view ‘‘the evidence for the primary effect of . . . weather [was] overwhelming,’’ while densitydependent effects caused by intraspecific competition for forage were ‘‘secondary,’’ though they could not be ‘‘completely exclude[d]’’ (Gunn et al. 2003). The issue hinges on the relative importance of, and the strength and form of associations between, intrinsic factors and environmental variation in determining the dynamics of the populations. A key point, now well recognized, is that the effects of climate and population density interact, such that the influence of weather becomes increasingly pronounced as population density increases (see Grenfell et al. 1998, Coulson et al. 2001, Ellis and Post 2004, Stenseth et al. 2004). Indeed, recent analyses of the crashes on the Brøgger Peninsula and the Bathurst Island Complex II have tended to adopt an orthodox position, suggesting that these crashes may be best explained in terms of the synergistic effects of depletion of forage associated with high population density and unfavorable weather conditions (Hansen et al. 2007, Tews et al. 2007, but see Miller and Barry 2009). This emerging view is supported by results from analyses of demographic time series in established populations (see Heterogeneous dynamics, regional variation in climate, and icing conditions). The recurring crashes observed in persistently unstable populations likewise fit comfortably within a conventional theoretical framework. The two detailed long-term series available show how crashes are a frequent and characteristic feature of the temporal dynamics of established populations of Svalbard reindeer. They are in no way exceptional phenomena that belong at the periphery of the normal working of these 209 REVIEWS 210 N. J. C. TYLER mortality reveal disconcerting heterogeneity. Thus, there is only one instance, once more the crash on St. Matthew Island, in which death cut right across a population such that animals of all age classes and both sexes perished (Klein 1968). In every other case for which there are data, the distribution of age-at-death was strongly skewed, indicating large differences in agespecific rates of mortality, even during major declines. Thus, carcasses recovered following each of five die-offs in Svalbard consisted almost exclusively of calves (age ,1 yr) and old animals (age 7 yr), while intermediate age classes (1–6 yr old) represented just 2% of the combined sample (n ¼ 557 [Tyler 1987, Solberg et al. 2001]). Evidently subadult and prime-age Svalbard reindeer are magnificently robust and capable of withstanding the very conditions that precipitate great crashes of the populations of which they are members. In the one remaining case, the data were strongly skewed with respect both to age and sex. Thus, 40% of the carcasses of reindeer found following the decline of the population on Hagemeister Island during the winter of 1991–1992 were subadults (age 1 yr [Stimmelmayr 1994]). This apparently contrasts with the situation in Svalbard, where death of 1 yr olds from starvation in winter is virtually unknown. However, it is evident from the ages at death, which Stimmelmayr gives in months, that only 20 of the 50 reindeer in her sample in fact died in mid or late winter and, of these, nine were calves (age ,1 yr), while all the others belonged to her oldest age class (5 yr [ Stimmelmayr 1994]). Hence, the age distribution of the winter carcasses in her sample is similar, after all, to that observed in Svalbard. The single curious feature of her data is the fact that 94% of the carcasses examined on Hagemeister Island were males (Stimmelmayr 1994). There is unavoidable doubt over whether her collection constituted a representative sample of the animals that died in that year. Another feature of the examples reviewed here is the paucity of evidence on cause(s) of death, and hence, also of the prevalence of starvation as a principal cause of death during major declines of populations of Rangifer, albeit that there are cases in which some classes of animals starved to death in large numbers. This is not new. One claim for starvation as the principal cause of decline in a population of Rangifer (Young 1994), cited as evidence a review (Davis 1978), which in fact mentioned neither starvation nor, indeed, any cause of mortality. What is clear is that, comparing across populations, no two major declines have ever been quite alike in terms of their proximal mechanism, i.e., how declines in numbers fractionated between starvation and other factors involved. That being the case, it is perhaps not altogether surprising that no single environmental factor nicely explains all or even most major declines. The point that emerges is that no major decline of reindeer or caribou yet observed seems to have been exceptional in terms either of rarity or manner of occurrence, or in the sense of its requiring explanation Ecological Monographs Vol. 80, No. 2 outside the current ecological paradigm for the regulation of abundance of populations of large herbivores. Empirical basis of current claims There appears, therefore, to be little empirical basis for claims that icing of the range, i.e., severe crusting of snow or the formation of basal ice over a large area of winter pasture, is a potent and ubiquitous cause of heavy mortality of Rangifer or, ultimately, that it is a major driving variable in the temporal dynamics of populations of this species. How can a belief in the murderous effects of icing have arisen? At least four factors have contributed. The first is a blurred distinction between snow and ice as agents of mortality. The second, closely related to this, is the heterogeneity of the parameters used to describe snow and ice conditions on winter ranges in years when populations have declined. The third is bias in what gets reported and, in particular, repeated. The fourth is a tendency for accounts of ice and mortality to evolve in the literature independently of the slim factual basis from which they originally arose. Papers reporting direct effects of winter weather on the dynamics of populations of Rangifer make frequent reference to ‘‘snow and ice conditions.’’ This is an inconsistent phrase. Any measureable amount of solid ice on the ground or in the snowpack is likely to hinder animals in their attempts to reach forage. The effects of snow, on the other hand, range from insignificant to severe depending on the extent, depth, or hardness of the snowpack. The population crashes best linked to conditions on the ground have all unambiguously documented deep snow but never ice (St. Matthew Island [Klein 1968]; Bathurst Island Complex I and II [Miller and Gunn 2003a]; Coats Island I [Gates et al. 1986]), a point made equally unambiguously by Miller and Gunn (2003b): . . . total snowfall is the best indicator that we have to date of the potential for an extremely severe ‘weatheryear’ causing die-offs . . . . The clarity of this statement contrasts with the elusiveness of the succeeding sentence: . . . icing compound[s] the impact of deep snow and tends to cloud the relative importance of the role of deep snow vs. icing in . . . die-off years. These clouds, however, are not easily dispersed. None of the studies mentioned in Miller and Gunn’s (2003b) review, nor those reviewed in the present paper, contain any objective data on the extent of the coverage or the depth of ice on the range. Several included quantitative empirical data on meteorological covariates considered likely to influence the characteristics of snow cover and the formation of ice, but the resulting proxies either fell from the final models or were associated with improved survival and enhanced population growth (see Snow and ice). May 2010 SNOW, ICE AND POPULATION CRASHES The severity of a drought may be described by three measurements: intensity, duration, and areal extent. This makes for difficulties when comparing one drought with another, and it explains why ‘‘the worst drought in living memory’’ occurs about once every 10 years. By unconsciously juggling the weighting ascribed to intensity, duration, and extent, almost any drought can be remembered as worse than its numerous predecessors. Surveying literature on the effects of hard snow and icing on populations of Rangifer, one is also struck by the paucity of negative results, i.e., situations in which the presence of ice or of icing conditions did not result in heavy mortality. One possibility is that such situations never occur. An alternative is that they have been poorly documented (Edwards 1956). Another alternative is that they have rarely been reported. Bias in reporting is an insidious problem, because no amount of study of published results can yield information on the extent to which contrary evidence escapes publication. The essence of this problem was beautifully outlined by King and Murphy (1985): It is known from sound evidence that endotherms sometimes die . . . of starvation or hypothermia. That is a fact. There is an ample literature of such accounts, most of it anecdotal and some of it dramatic . . . . The summary of a typical publication might be: ‘‘I toured the woods after a bad snowstorm and found many dead birds and some deer that seemed very weak.’’ Most reports . . . fall into one category: positive evidence of episodic death . . . , sometimes as a result of malnutrition. The countering evidence, since it is negative, is rarely published. One can easily imagine the reaction of a journal editor to a manuscript whose summary might be: ‘‘I toured the woods after a bad snowstorm and did not find any dead birds or scrawny deer.’’ It is, of course, the positive evidence that lingers in mind and comes to dominate our impressions. Some negative results in studies of Rangifer, in fact, have been reported. For instance: There was ice over virtually all the flat ground but food they found . . . . The animals showed no sign of starvation; quite the reverse, they seemed to be in good condition (Lønø 1959); [T]he winter of 1973–74 . . . had several periods of temperatures above 08C, often coinciding with precipitation, with subsequent cold spells . . . . These conditions led to the formation of hard snow or ice over the vegetation and forced the reindeer to . . . seek higher . . . marginal areas . . . . In spite of these adverse weather conditions, no particular high winter mortality was suffered by animals over 3 to 4 mon [sic] of age. (Reimers 1977); . . . there was no relationship between . . . overwinter survival and mean snow depth . . . (Larter and Nagy 2000); REVIEWS The durability of the view that icing has potent effects on populations may be due in part to the fact that no agreed ‘‘ice standard,’’ nor even ‘‘snow standard,’’ is used in studies of the direct effects of winter weather on the dynamics of populations of Rangifer. A range of parameters, all bearing on snow and ice conditions to a greater or lesser extent, have been employed, and these fall into four not entirely discrete categories. Of assessments of snow and ice, seven are based on quantitative objective measurements: greatest accumulation of snow (Klein 1968), total snowfall (Ouellet et al. 1996, Miller and Gunn 2003a, b), monthly snow depth (Gates et al. 1986), mean maximum monthly snow depth (Solberg et al. 2001), and the mean depth and mean hardness of snow (Larter and Nagy 2000). There are three subjective assessments, none of which exceed a single sentence: ‘‘a crust of glare ice’’ (Scheffer 1951), ‘‘snowfall’’ (Stimmelmayr 1994) and ‘‘terrestrial ice-crust’’ (Aanes et al. 2002). To these may be added many qualitative reports of glazed crust (‘‘gololeditsa’’) and ice referred to in Russian accounts (Formozov 1965, Krupnik 1993). The second category includes low temperature contemporaneous with record snowfall (Klein 1968). The third focuses on warm temperatures, and includes four slightly different quantitative assessments based on empirical data: ‘‘the number of days in winter . . . in which temperature 08C’’ (Aanes et al. 2000), ‘‘the annual sum of precipitation during days with temperature .08C’’ (Solberg et al. 2001), the sum of ‘‘sensible heat input during periods of mild weather (.08C) in winter’’ (Tyler et al. 2008), and a snowpack (degreeday) model (Kohler and Aanes 2004). There is also one qualitative assessment: ‘‘freezing rains’’ (Nagy et al. 1996). The fourth category includes total precipitation in winter (Aanes et al. 2000, Solberg et al. 2001). This parcel of parameters includes physical opposites (warm weather and cold weather) and assessments ranging in quality from the sharply defined (‘‘monthly snow depth’’) to the nebulous (‘‘snowfall’’). It is almost inconceivable, however, that these various aspects of snow and ice influence the survival of animals to a similar degree. The diversity of quantitative and qualitative assessments inevitably complicates the task of identifying components of winter weather that may have a powerful and ubiquitous influence on the dynamics of populations. It perhaps also accounts for the appeal of blanket terms like ‘‘gololeditsa’’ and ‘‘icing’’ and of intuitively plausible parameters such as ‘‘rain-on-snow’’ (Putkonen and Roe 2003, Grenfell and Putkonen 2008, Rennert et al. 2009). The problem is not a new one. In an analysis of the effect of drought on populations of kangaroos, Caughley et al. (1985) pointed out how the apparent uniformity of the concept of ‘‘drought’’ was superficial and potentially misleading: 211 212 N. J. C. TYLER The highest overwinter survival occurred during the winter 1993–1994 when fall icing conditions were documented on a substantial proportion of the caribou winter range (Larter and Nagy 2000); REVIEWS Not all relatively deep snow years result in major dieoffs; 1989–90 ranked fourth out of the 55 years . . . and no greater loss of 1þ old caribou was detected (Miller and Gunn 2003a). Reports of this kind, however, are rare. The chief problem is that field studies are frequently opportunistic. When a population has suffered a severe decline, there is usually considerable incentive to explain what happened, and usually a good way to start is to trawl meteorological records for unusual values. Such an approach will obviously never provide any basis for a general statement about the effects of a given set of weather conditions on population size, because the opposite case is not tried. Where there has been no decline, there is little urgency to report the conditions that prevailed at the time. Population declines are important phenomena and worth study in themselves (e.g., Young 1994, 1999; Erb and Boyce 1999), especially where they provide warning of increased risk of extinction (e.g., Mace et al. 2008). However, most extant natural populations of large herbivores have persisted for a very long time, and even major declines in their numbers, which may have occurred from time to time, are necessarily only elements of the unbroken temporal pattern of their development across hundreds or even thousands of years. Hence, while it is legitimate to ask specifically what environmental factor(s) triggered a particular decline, it is ultimately more instructive to determine what factors mould the dynamical behavior of the populations of which those declines are but a part. To achieve this it is necessary to analyze population time series in their entirety, rather than merely focusing on bits of them, and usually only the negative bits. Time series analysis has not only identified important interactions between the simultaneous effects of extrinsic factors (weather) and intrinsic factors (population density), which can lead to highly unstable dynamics (e.g., Grenfell et al. 1998, Coulson et al. 2001, Ellis and Post 2004, Berryman and Lima 2006), but crucially, it has also revealed counterintuitive effects of environmental conditions on numbers (Forchhammer et al. 2002, Tyler et al. 2008). Accounts of the effects of snow and ice on populations of Rangifer seem to evolve with repeated telling, sometimes as new data or insights emerge, but not invariably so. Descriptions of conditions on the ground evolve fastest, probably because these are often more vague at the outset than the census data that they were recruited to explain. Thus, as noted above, the crash of the population of reindeer on Brøgger Peninsula in 1993– 1994 was originally explained in terms of heavy precipitation in winter, without any mention of icing Ecological Monographs Vol. 80, No. 2 (Aanes et al. 2000). A subsequent paper (Aanes et al. 2002) included an anecdotal report of the formation of an extensive terrestrial ice-crust which was ‘‘in some places . . . more than 10 cm thick.’’ Two years later, the same observation became an ‘‘ice layer (up to 10–30 cm) deposited over large parts of the lowland plain’’ (Kohler and Aanes 2004), while Chan et al. (2005) subsequently conferred on the same icing event, and the population crash now vicariously associated with it, the status of ‘‘The ‘text-book’ example of a dramatic effect of such locked pastures.’’ This interpretation was matched by Callaghan et al. (2005), who incorrectly cited the original reference (i.e., Aanes et al. 2000) in partial support of the statement that ‘‘Dramatic reindeer population crashes resulting from periodic ice crusting have been reported from . . . Svalbard’’ (see also Grenfell and Putkonen 2008). Almost no new information on the crash itself has emerged following the original report. Neither the magnitude of the decline of the population during the winter of 1993–1994, nor the level of mortality to which it was in part due, were accurately documented (see Emigration and Carcass counts). There is no doubt that the population of reindeer there declined precipitously; however, lacking comprehensive data it seems unlikely that either the conditions on the ground or the mechanics of the decline will ever be known. Another example of an emerging emphasis on the importance of icing can be clearly traced in accounts of the declines of caribou on the Bathurst Island Complex. Following the 1973–1974 decline, Miller et al. (1977) remarked that ‘‘. . . we have no quantitative measures of range conditions.’’ Twenty years later, when examining the 1994–1997 decline, Miller (1998:49) emphasized the role of ‘‘significantly greater . . . than average total snowfall,’’ and went on to point out that ‘‘. . . detailed range-wide information on type of snow cover and the incidence of ground-fast ice or ice layering on an annual basis is generally unavailable for the [Queen Elizabeth Islands]’’ (Miller 1998:50). Subsequent papers, however, made clear reference to extensive icing of the range and attributed the falls in number to it. Thus, Gunn et al. (2000) commented cautiously that ‘‘Widespread deep snow and icing . . . that restricted forage availability appears to be the sole cause of the decline.’’ Gunn and Dragon (2002:68) suggested that decline during the winter of 1996–1997 was a result of an unusually severe winter and that ‘‘. . . deep snow, freezing rain (causing icing) and the formation of ground fast ice . . . lead[s] to . . . high levels of death among . . . Peary caribou . . . .’’ The position hardened when Gunn et al. (2003) stated unambiguously that The most complete data set is for Bathurst Island. Hundreds of caribou died . . . during four winter and spring periods which were four of the five most severe on record (1973–74, 1994–95, 1995–96 and 1996–97) . . . extensive ice formed over the vegetation as a result of May 2010 SNOW, ICE AND POPULATION CRASHES warm temperatures and high winds in both autumn and spring. fact, the inclusion of sources of this kind merely highlights the paucity in primary scientific literature of concrete evidence for the effects of hard snow and basal ice on the dynamics of populations of Rangifer. Heterogeneous dynamics, regional variation in climate, and icing conditions There is good evidence that the annual rate of increase of established populations of Rangifer can be strongly influenced by the weather in winter, and that snow conditions of one form or another can be an important density-independent factor influencing the dynamics of populations of this species. It is also clear, however, that neither the strength nor even the form of density independence is invariable. Instead, associations between aspects of winter weather and dynamics vary across time within and across space between populations, and evidently not at random (Post 2005, Tyler et al. 2008). Pronounced gradients have been detected in the dynamics of populations of Rangifer across the Northern Hemisphere with respect, in particular, to the degree of density independence (Post 2005, Post et al. 2009a). The effects of climate on numbers vary in terms both of temporal relationships (direct or lagged) and sign (enhancing or suppressing growth). In Post’s (2005) analysis, the effect of climate variation (in terms of the North Atlantic Oscillation winter index) on numbers was direct (nonlagged) in 10 of 27 populations, while lags of one or two years were detected in the dynamics of the remainder. Direct effects of winter weather on numbers normally reflect variation in overwinter survival and in calving success among surviving females (calving success being generally a composite measurement embracing both fecundity and the survival of newborn calves [e.g., Adams and Dale 1998b, Solberg et al. 2001, Tyler et al. 2008]); lags, on the other hand, reflect more complex ecological relationships (see Forchhammer et al. 2002, Post and Forchhammer 2008, Post et al. 2009a, b). Given this degree of heterogeneity, the results of analyses made specifically to determine how the dynamics of established populations have been affected by variation in local weather conditions associated with snow and icing are surprisingly consistent. Eight time series in as many populations have been examined. Climatic conditions associated with increased amounts of snow during winter had a positive effect on the abundance of five populations of caribou on Greenland, in each case with a lag of two years (no significant effect of climate was detected in a sixth [Forchhammer et al. 2002]), while indices of winter warming were associated with increased abundance of one established population of Svalbard reindeer (Tyler et al. 2008) and had no significant effect on annual rate of increase in a second (Solberg et al. 2001). The diversity and sometimes contradictory nature of the ways in which populations of Rangifer respond to particular kinds of climate and weather conditions is almost certainly related to the diversity of the habitats REVIEWS Their view was subsequently included in a review of the status of Peary caribou which concluded that ‘‘Severe winter weather characterized by deep snow with icing events caused the crashes’’ (COSEWIC 2004). None of these publications, however, provided information to supplement the absence of data on the depth or extent of ice in the original reports. The caribou, of course, almost certainly faced difficult foraging conditions in those winters, and Miller et al. (1977:47) did actually mention the existence of empirical evidence of ice, but they presented none of it. (A few measurements made then and in the springs of 1994–1995 and 1996– 1997 at fuel caches throughout the range included observations of ground-fast ice with thickness in the range 5–20 cm, maximum 33 cm; F. L. Miller, personal communication 2008.) Tracing the reports of the declines on the Brøgger Peninsula and in the Bathurst Island Complex, therefore, demonstrates how enthusiasm for the purported effects of icing on populations of Rangifer can, in just a few years, lift slim sets of unpublished field observations from obscurity to prominence at the heart of the interpretation of major ecological events. It is, of course, legitimate to shine the spotlight of new understanding on old observations; it is best, however, that the light be bright but not dazzling. Similar enthusiasm may also contribute to overly generous interpretation of published material. Among publications repeatedly cited in support of the view that difficult snow conditions and formation of basal ice have led to major declines of populations of Rangifer are several which, in fact, contain no information on either population mortality rates, or snow and ice conditions or both. These include papers by Lønø (1959), Miller et al. (1975), Parker et al. (1975), Alendal and Byrkjedal (1976), Larsen (1976), Reimers (1977, 1982, 1983), Øritsland (1998), Aanes et al. (2000), Griffith et al. (2002) and Kohler and Aanes (2004), cited variously, for instance, by Aanes et al. (2000), Solberg et al. (2001), Kumpula and Colpaert (2003), Putkonen and Roe (2003), Kohler and Aanes (2004), Callaghan et al. (2004, 2005), Grenfell and Putkonen (2008). Curiously, the chief evidence in two of these papers (Lønø 1959, Reimers 1977) actually describes the reverse situation, i.e., instances where the presence of basal ice or presumed icing conditions did not result in starvation or heavy mortality. Similarly, the citing of reports that contain no data on the purported detrimental effects of icing on populations of reindeer, but which, in turn, refer to sources that, likewise, contain no first-hand data (e.g., Syroechkovski and Kuprianov 1995 cited by Callaghan et al. 2004, 2005), or citing press reports and newspaper articles the basis of which cannot readily be examined (e.g., Beltsov 2002, McFarling 2002, both cited by Putkonen and Roe 2003) indicates an eagerness for a cause that surpasses normal scientific caution. In 213 REVIEWS 214 N. J. C. TYLER Rangifer occupy and the climatic conditions to which they are exposed. Temperature profiles and snow conditions in winter and the physical structure of the terrain all vary hugely across the geographical range of this species. Interludes of mild weather (.08C), for instance, are a common feature of winter weather on the west coast of Svalbard (median ¼ 11 periods per winter [October–April], range ¼ 5–23 periods [Tyler et al. 2008]) when they may occur in any month (mean frequency ¼ 1.5 interludesmonth1year1, range ¼ 1.0 interludes/yr [February] to 2.5 interludes/yr [October]; data from 1975 to 2009 from the Norwegian Meteorological Institute; see also Putkonen and Roe [2003]). High frequency of warming in Svalbard, especially early in winter, evidently creates favorable conditions for the reindeer there (Tyler et al. 2008). The situation in the Canadian Arctic Archipelago, by contrast, is quite different. Here, interludes of mild weather in winter are exceedingly rare. At Resolute (748 N, 948 W), for instance, the frequency of days per month with maximum temperature .08C ranges from 0.07 to 0.03 in October and November, respectively, and is zero from December to April, inclusive (data 1971–2000 from Environment Canada’s Web site [available online]).2 In high-Arctic Canada, therefore, the occurrence of mild weather and the concomitant formation of basal ice is a phenomenon associated almost exclusively with the spring melt in May–June (Miller et al. 1982, Woo et al. 1982, but see Rennert et al. 2009). On a larger scale, the stable, cold conditions typical of Rangifer winter habitat throughout western and north-central North America become progressively replaced eastward across the continent by an unstable, more oceanic winter climate. Most significantly, there is a concomitant increase along this gradient in the frequency of rainon-snow events in winter, with values at the east coast up to two orders of magnitude greater than in central and western regions (Rennert et al. 2009). Under such conditions the normal logic, whereby midwinter thaws and rain-on-snow events are precursors of icing, is sometimes reversed. In coastal habitats interludes of mild weather can induce levels of local warming that benefit rather than disadvantage the animals. Thus, in parts of Newfoundland, periodic thaws and winter rains may melt snow completely away, increasing the availability of forage for caribou over substantial areas as a result (Damman 1983, Mahoney and Schaefer 2002). Likewise, on the west coast of Greenland, foehn winds can convert snowfields to snow-free ground in just a day or two. Commenting on this, Vibe (1967) wrote that ‘‘This type of storm makes the snow evaporate or melt, and gives the Reindeer access to the vegetation.’’ Finally, in parts of central Norway the normal pattern of Saami transhumance is reversed, such that, instead of moving inland in winter to find the good grazing conditions afforded by a colder, drier climate, reindeer 2 hwww.climate.weatheroffice.ec.gc.cai Ecological Monographs Vol. 80, No. 2 herders deliberately take their animals to the coast, where they benefit from the mild climate that keeps the pastures largely free of snow throughout winter (Skjenneberg and Slagsvold 1968). Even beyond the reach of maritime climate conditions, the formation of basal ice is influenced by a range of factors that modulate the influence of rain or melting of the snowpack on grazing conditions. For basal ice to form it is necessary that (a) sufficient water be delivered (b) onto very cold substrate with which (c) it remains in contact for long enough to freeze. Where the source of water is melted snow, its amount will depend not only on the rate of melting, but also on the amount (cover and depth) of snow on the ground. Warming can create little water where there is little snow, and the depth of snow on winter pastures is regionally highly variable. Mean snow depths in forest habitat, for instance, fall in the range of 70–120 cm (Brown and Theberge 1990, Rominger and Oldemeyer 1990, Kumpula and Colpaert 2007), while on high-Arctic tundra they are generally ,25 cm even in the snowiest months (e.g., Larter and Nagy 2001, Tyler et al. 2008). Where the source of water is rainfall, it must occur in ‘‘substantial’’ amounts if it is to percolate through the snowpack (Grenfell and Putkonen 2008). The subsequent fate of the water, from whichever source, depends on a variety of factors. Where the cold content of the substrate and the overlying snowpack is sufficiently high, it will freeze (Woo et al. 1982). But where the ground is sufficiently insulated by deep snow, the latent heat released during freezing may warm the soil sufficiently to allow the formation of an ice/water bath that can potentially survive for weeks (Putkonen and Roe 2003). Moreover, the percolation of rain or melt water through snow from the surface to the substrate is a complex process strongly influenced by the layer and crystal structure of the snowpack (Conway and Benedict 1994, Waldner et al. 2004). Large horizontal variations in flow and the channelling of water down preferential flow paths result in considerable spatial heterogeneity in its delivery onto the ground (Woo et al. 1982, Marsh 1999). Once on the ground, local relief and in particular downslope drainage has a major influence on the buildup of ice, resulting in it being absent in some areas and accumulating in others (e.g., topographic depressions [Woo and Heron 1981, Woo et al. 1982]). This was observed by Øritsland (1998), who described the situation on Edgeøya in Svalbard where ‘‘Due to micro-topographic features such as small hummocks, ridges, stones, pebble-sized rubble, slope and soil coarseness that affected water runoff, the thickness of the ice layers ranged from zero to l0 cm.’’ Associations between climate, local weather, and conditions literally on the ground, are thus inherently complex and vary not only regionally but also locally. This almost certainly contributes to the lack of consistency across populations of Rangifer in the relationship between declines in May 2010 SNOW, ICE AND POPULATION CRASHES numbers and the meteorological parameters believed to trigger them. CONCLUSIONS namics of reindeer herding in the context of global change have shown how, in terms of influence on the size and structure of herds and, potentially, on the form of the entire industry, the effects of climate variation seem to be dwarfed by the effects of a battery of potent density-independent factors, all of which lie outside the realm of biology, but which, instead, are part of the sociological, political, and economic environments that govern the fate of animals (Tyler et al. 2007, Rees et al. 2008, see also Vors et al. 2007). ACKNOWLEDGMENTS This paper was originally presented at a conference ‘‘After the Melt: Ecological Responses to Arctic Climate Change,’’ held at the University of Aarhus, Denmark, in 2008, and I thank the organizers for inviting me to attend that meeting. I also thank Mike Ferguson for comments on the occurrence of basal ice in the Canadian High Arctic, Greg Finstad for commenting on the reliability of population data from Hagemeister Island, Anne Gunn for observations on snow and ice conditions in the Bathurst Island Complex in the late 1990s, Jan Petter Holm for assistance with preparing Fig. 1, Johnny-Leo Jernsletten for assistance with sources in Russian, David Klein for information on populations of reindeer in Alaska, Bob van Oort for assistance with Fig. 2, Tor Punsvik for providing data on hunting mortality in the Reindalen Complex, and Jaakko Putkonen for kindly sending me copies of two papers then still in press. Most particularly I thank Mads Forchhammer, Eric Post, and especially Frank Miller, as well as two anonymous referees, for reading and criticizing an earlier version of the paper. LITERATURE CITED Aanes, R., B.-E. Sæther, and N. A. Øritsland. 2000. Fluctuations of an introduced population of Svalbard reindeer: the effects of density dependence and climatic variation. Ecography 23:437–443. Aanes, R., B.-E. Sæther, F. M. Smith, E. J. Cooper, P. A. Wookey, and N. A. Øritsland. 2002. The Arctic Oscillation predicts effects of climate change in two trophic levels in a high-Arctic ecosystem. Ecology Letters 5:445–453. Adamczewski, J. Z., C. C. Gates, B. M. Soiutar, and R. J. Hudson. 1988. Limiting effects of snow on seasonal habitat use and diets of caribou (Rangifer tarandus groenlandicus) on Coats Island, Northwest Territories, Canada. Canadian Journal of Zoology 66:1986–1996. Adams, L. G. 2005. Effects of maternal characteristics and climate variation on birth masses of Alaskan caribou. Journal of Mammalogy 86:506–513. Adams, L. G., and B. W. Dale. 1998a. Timing and synchrony of parturition in Alaskan caribou. Journal of Mammalogy 79: 287–294. Adams, L. G., and B. W. Dale. 1998b. Reproductive performance of female Alaskan caribou. Journal of Wildlife Management 62:1184–1195. Alendal, E., and I. Byrkjedal. 1976. Population size and reproduction of the reindeer (Rangifer tarandus platyrhynchus) on Nordenskiöld Land, Svalbard. Norsk Polarinstitutt Årbok 1974:139–152. Ball, P. 2003. Rain kills reindeer: climate change could starve ungulates and their herders. Nature. [doi: 10.1038/ news030303-13] Beltsov, V. 2002. [It is difficult to trace this reference which is cited by Putkonen and Roe (2003) as: ‘‘reported by AP, CNN, ITAR-Tass.’’ It is probably a report entitled ‘‘Mass reindeer fatalities in remote Russian region’’ published by REVIEWS Major and frequently sharp declines in numbers are a common feature of the dynamics of populations of Rangifer, at least for those in which numbers have been determined sufficiently frequently to detect phenomena of this kind. Most declines fall into one of two categories, i.e., the negative phase of irruptive oscillation, and the fluctuation of persistently unstable populations. Population dynamics in both categories are best interpreted as the product of interaction between internal processes (density dependence) and the external abiotic conditions including winter weather (density independence). Crucially, the strength and the form of density independence vary widely between populations irrespective of whether it is parameterized in terms of local weather or large-scale climate. The enormous range of climatic conditions and habitat (micro-) relief across the circumpolar distribution of Rangifer inevitably complicates the search for abiotic components likely to be ubiquitously important determinants of the rate of increase of populations. As Post (2005) and Post et al. (2009a) pointed out, the tremendous degree of variation in the extent to which local temperatures vary with changes in large-scale climate, not to mention variation in the ways in which populations respond to changes in weather, presents a severe challenge for any attempt to predict distributionwide responses in Rangifer or any similarly widely distributed species to future climate change (see also Martı́nez-Jauregui et al. 2009). There appears to be little empirical evidence to support the view that icing of the range, i.e., the formation, occasionally over vast areas, of hard, crusted snow, or of layers of ice in the snowpack, or of basal ice, all of which can block the animals’ access to the plants beneath, is a ubiquitous and potent agent in the dynamics of Rangifer, or that it is a principal cause of major declines in population size. 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