Extrinsic and intrinsic factors affecting the activity budget of alpine marmots (Marmota marmota)

Extrinsic and intrinsic factors may influence the activity budget of wild animals, resulting in a variation in the time spent in different activities among populations or individuals of the same species. In this study, we examined how extrinsic and intrinsic factors affect the behaviour of the alpine marmot (Marmota marmota), a hibernating social rodent inhabiting high-elevation prairies in the European Alps. We collected behavioural observations during scan sampling sessions on marked individuals at two study sites with different environmental characteristics. We used Bayesian hierarchical multinomial regression models to analyse the influence of both intrinsic (sex and age-dominance status) and extrinsic (environmental and climatic variables) factors on the above-ground activity budget. Marmots spent most of their time above ground foraging, and were more likely to forage when it was cloudy. Extrinsic factors such as the site, period of the season (June, July–August, and August–September), and time of the day were all related to the probability of engaging in vigilance behaviour, which reaches its peak in early morning and late afternoon and during July, the second period included in the study. Social behaviours, such as affiliative and agonistic behaviours, were associated mostly with sex and age-dominance status, and yearlings were the more affiliative individuals compared to other status. Overall, our results suggest that in alpine marmots, intrinsic factors mostly regulate agonistic and affiliative behaviours, while extrinsic factors, with the unexpected exception of temperature, affect the probabilities of engaging in all types of behavioural categories.


Introduction
In animals, activity budget allocation is strongly influenced by multiple factors, such as energetic demands, food abundance, predation pressure, and climatic conditions (Belovsky & Slade 1986;Ebensperger & Hurtado 2005;Armitage & Salsbury 2016). In various mammal species, both extrinsic factors, such as climatic variability, environmental characteristics, season, and group size (Armitage et al. 1996;Arnold et al. 2006;Hannon et al. 2006;Bourgoin et al. 2008;Scantlebury et al. 2012), and intrinsic factors, such as age, sex, reproductive status, and dominance status (Oakes et al. 1992;Hamel & Coté 2008;Aniano et al. 2016;Armitage & Salsbury 2016), have been shown to influence activity budgets. The time each individual allocates to any activity has been shown to be the result of a trade-off between the necessity to fulfil its energetic requirement (i.e. foraging) and the need to devote enough time to other activities (e.g. vigilance or social behaviours; Ebensperger & Hurtado 2005).
We expect this trade-off to be particularly severe in animals living at high elevations where extrinsic factors may be more severe and demanding (Laszlo & Grabherr 2009), limiting an individual's flexibility in adapting its activity budget. High temperatures during summers and adverse weather conditions have been shown to affect the activity patterns of alpine ungulates: for example, Alpine ibex (Capra ibex) migrate to areas at higher elevations when temperatures rise, despite these areas being characterized by lower quality vegetation (Mason et al. 2017), and chamois (Rupicapra rupicapra) reduce foraging activity during intense rain or very hot days (Pęska & Ciach 2018). On the other hand, intrinsic characteristics have been shown to affect several aspects of an individual's activity budget: male and female ungulates, for example, may differ in their foraging rate. In bighorn sheep (Ovis canadensis), ewes spend more time foraging and walking compared to rams (Ruckstuhl 1998), while Appenine chamois (Rupicapra pyrenaica ornata) males show a higher intensity of foraging compared to females (Ferretti et al. 2014). In mountain goats (Oreamnos americanus), lactating females tend to spend more time feeding compared to non-lactating females, because of their higher energetic demands (Hamel & Côté 2008).
In the alpine marmot (Marmota marmota), a hibernating social rodent, time constraints are intense since individuals have to accumulate enough fat reserves during the short vegetative season typical of the alpine environment (Billings 1974; around 4 months at our site) to survive hibernation. At the same time, due to their complex social system, alpine marmots need to invest time and energy in social interactions (Panaccio et al. 2021). An exhaustive study on activity budget allocation is still lacking for alpine marmots, contrary to other related marmot species such as the yellow-bellied marmot (Marmota flaviventris; Armitage & Salsbury 2016).
Here, we explored the effects of extrinsic (temperature, time, period of the season, weather, site) and intrinsic (sex, age, and dominance status) factors on the daytime, aboveground, activity budget of alpine marmots. Furthermore, we tested the following predictions: (i) Considering that the alpine marmot is a fat-storing hibernating species, we expected foraging activity to be the most common behaviour during the active season (in agreement with results by Hannon et al. 2006). (ii) As a species adapted to low temperatures (Armitage 2017), we expected time of the day, weather conditions, and period of the season to affect animal activity in agreement with results on yellow-bellied marmots (Armitage & Salsbury 2016); specifically, we expect marmots to forage more in the second part of the season (July-August) compared to the first (June) and the third (August-September). Overall, we expected marmots to be scarcely active (foraging, moving) at high temperatures, at mid-day, and on sunny days. (iii) Based on a previous study highlighting different levels of vigilance in different areas (Ferrari et al. 2009), we expected vigilance behaviour to be affected by environmental characteristics of the site (e.g. visibility). (iv) As a social and territorial species, we expected agonistic and affiliative interactions to represent a substantial proportion of the activity budget, but to vary seasonally. We expected both inter-and intragroup agonistic interactions to be predominant early in the season, when animals delimit family territories and establish hierarchies, while intra-group affiliative interactions, which may have a joint function across all the family members, were expected to be stable across the whole season (Pasquaretta et al. 2015). (v) As alpine marmots are a cooperative breeding species in which mainly dominant individuals have access to reproduction and juveniles and subordinates remain in the family group as helpers (Pasquaretta et al. 2015;Berget et al. 2018), we expected that socially related activities (affiliative and agonistic interactions) should vary according to individual characteristics such as sex, age, and dominance status (Blumstein & Armitage 1999). We expected dominant male individuals to have more agonistic interactions compared to other sex-age classes in order to maintain their status, while we expected pups and yearlings to be more frequently engaged in affiliative behaviours.
To test our predictions, we collected alpine marmot activity budget data at two study areas located at different elevations, with different habitat characteristics. We used a Bayesian hierarchical multinomial regression model approach to analyse the data (Koster & McElreath 2017). This study provides the first detailed description of the activity budget of alpine marmots that can be used as a reference tool to further investigate variation in behavioural activities in this species.

Study species
The alpine marmot (Marmota marmota) is a diurnal herbivorous species living in open habitats at elevations ranging from 1500 to 3000 m a.s.l., where animals must cope with a short vegetative season and extremely variable weather conditions (Macchi et al. 1992;Allainé et al. 1994;Garin et al. 2008;Zanet et al. 2017). Alpine marmots hibernate during the winter (in the Alps from October to April), and they mate after emerging from their winter burrows in spring. Gestation is approximately 33-35 days, and following birth, pups are nursed for approximately 40 days (Hacklaender & Arnold 1999). This species is highly social: individuals live in family territorial groups ranging from 2 to 20 individuals with the dominant pair, subordinate adult individuals (older than 2 years old), yearlings, and pups born in the summer (Arnold & Dittami 1997). Within the family, dominant individuals use direct agonistic interactions to establish and maintain the hierarchy and, consequently, access to reproduction. Affiliative interactions are used by all members to increase cohesion in the group (Arnold & Dittami 1997;Hackländer et al. 2003).

Study area
The data analysed in this study were collected during summer 2008, from April to September, in the Orvieilles alpine marmot study area in Valsavarenche (Gran Paradiso National Park, North-western Italian Alps, 45° 34′ N, 7° 11′ E). Captures and behavioural data collection described below were done at two sites: the first (hereafter referred to as the low site) was located at 2100 m a.s.l. This site was characterized by proximity to a larch (Larix decidua) forest, several rocks, and isolated big boulders, resulting in discontinuous visibility of approaching terrestrial predators for most of this site. Moreover, by having 3 different hiking trails pass through it, this area is an easy and common destination for hikers. Groups of hikers who stop to eat or rest may disturb and interrupt marmot activity (Mainini et al. 1993;CF, personal observation). The second site (hereafter referred to as the high site) was located at 2300 m a.s.l. and was far from forest edges. This area was characterized by the absence of rocks and big boulders, as well as minimal shrub cover resulting in optimal visibility for alpine marmots against terrestrial predators. In both areas, the main predators of alpine marmots are red foxes (Vulpes vulpes) and golden eagles (Aquila chrysaetos). This area has only one hiking trail crossing the area, and it is not considered a hiking destination. As a result, hikers usually continue walking along the trail to reach other destinations, representing therefore a minor disturbance for marmots.

Capture and individual marking
The beginning of the active season (late April to end of May) was mainly devoted to trapping and marking individuals within the framework of a long-term alpine marmot research project running since 2006 in this area (Ferrari et al. 2013). Captures were done using Tomahawk traps (150 × 30 × 30 cm, Tomahawk live traps, Hazelhurst, WI, USA) located near the entrances of marmot burrows and baited with either lettuce, Alpine dandelion (Taraxacum alpinum), or salt. Traps were activated at 6:00, checked constantly from a distance using spotting scopes, and closed at 20:00. After a marmot was captured, the trap was covered with a gunnysack and the marmot was transferred into another gunnysack that had a tear-off opening to facilitate ear-marking. Marmots were not anesthetized but they were kept within the gunnysack during the whole time to avoid excessive stress, while we followed a standard protocol of operations including marking, sexing, and weighing (for details, see Costantini et al. 2012;Ferrari et al. 2013). Each individual was marked with a unique combination of coloured plastic ear tags (Minirotag, 5-cm length, Ghislandi and Ghislandi, Bergamo, Italy) on its two ears for visual identification. Pups were marked using fur bleach (Moldus, Italy) since their ears were too small and frail to be tagged. Upon first capture, each individual was sexed and classified as a pup, yearling, or adult. All individuals were also permanently tagged with an under-skin pit tag (Bayer Animal Coder, Bayer S.p.A., Milan, Italy) for long-term identification. In this study, we analysed the behaviours of 48 marked individuals belonging to 11 families in summer 2008 (see Table 1 for details).

Data collection
We collected behavioural data using scan sampling (Martin & Bateson 1993) from 12 Jun. until 19 Sep. 2008. With this method, a whole group of individuals was scanned at regular intervals, and observers noted the activity of each marmot exactly at the instant it was observed (Martin & Bateson 1993). By being diurnal and territorial, and thus easily observable when above ground, scan sampling is a suitable method to collect behavioural data on this species. Scan sampling was conducted 5 days per week alternating among the different family groups by using long-view scopes (Swarovski 30x75 and Nikon ED82 25-56X82) following the method described in Pasquaretta et al. (2012Pasquaretta et al. ( , 2015. Scan sampling sessions, lasting 1 h each, were conducted for the whole day from 07:00 to 20:00 (Central European Summer time), with a break between 13:00 and 14:00 for the entire time of this study. We attempted to have an equal number of scan sampling sessions for each family we monitored. The sessions for each family were uniformly distributed during the day over the entire season. To avoid temporal autocorrelation among observations, each family was observed only once per day. Two observers recorded the behaviours performed by each visible individual every 5 min, obtaining a maximum of 12 behaviours per individual per hour. Behaviours were categorized according to the ethogram described in Table 2. Observations were carried out from fixed locations at a variable distance from each family (range 100-400 m), chosen for the best visibility of the entire territory of each focal family group. The marmots we did not see during a scan sampling session were not necessarily underground, as it is possible that the observer simply did not detect them while scanning the territory (e.g. individual hidden by rocks). We were therefore unable to distinguish between time in burrow and time above ground but out of sight. Young of the year were excluded from the analysis.
Similar to a previous study on yellow-bellied marmots (Armitage & Salsbury 2016), the active season was divided into three periods according to marmot biology (Table 3). Weather conditions were always noted by the same observer during each scan and were classified based on the presence of sun and clouds into three classes (Table 3). Observations during hours of intense rain were not conducted to ensure the safety of observers and because the visibility was very low. Furthermore, in cases of intense rain, marmots generally are not visible above ground (CF, pers. obs.). Observations were resumed when weather conditions allowed the observation of active animals. Temperature data (one value per hour) were obtained from the Aosta Valley regional weather station located at the low site. While we did not have a direct measure of  Table 2 Ethogram used to categorize each behaviour and the percentage of observations made for each behaviour during the summer of 2008. N reflects the number of observations of each behaviour *Vigilance and sitting in front of the burrow are not mutually exclusive and may both include thermoregulation **Affiliative, agonistic, and moving/exploring were considered social behaviours according to the definition of social behaviour given by Grant (1963): "Social behaviour can be defined as all behaviour that influences, or is influenced by, other members of the same species" Behaviours % of total observations Description Foraging (N = 1915) 54% The marmot has its head down towards the ground, and it is consuming food resources. Sitting in front of their burrows (N = 533)* 15% The marmot is sitting or lying in front of its burrow system/entrance. Often the marmot's head is stretched on the ground. This behaviour includes resting behaviour and basking. Vigilance (N = 519)* 14.7% The marmot is still, scanning its surroundings. Affiliative (N = 304)** 8.6% Social interactions, such as play, as well as grooming or greeting with reciprocal or unilateral scratching or biting of the other individual. Moving/exploring (N = 164)** 4.6% The marmot is moving from one place to another within and outside its home range. This behaviour includes territory patrolling and searching for food. Agonistic (N = 75)** 2% Social interactions related to fighting including behavioural displays (e.g. digging and marking) and actual fights. Other behaviours (N = 5) 1% Includes rare observations of other behaviours, such as taking straw into the burrow or screaming. We used this as a reference behaviour, but results are not displayed. solar radiation, the hour of the day, weather, and temperature have been shown to affect radiation on the surface in the alpine environment (Rangwala & Miller 2012;Rottler et al. 2019). We assigned the dominance status of members of each family based on observations of social interactions (Panaccio et al., 2021). Dominant individuals had the highest frequency of agonistic interactions with a positive outcome. In most cases, individuals with the highest dominance rank based on social interactions were also the reproductive pair. In family groups where reproduction did not take place, we used only the social rank to determine the dominance status.

Statistical analyses
Behavioural data were analysed with a Bayesian hierarchical multinomial model (Koster & McElreath 2017). This approach is relatively new in the field of behavioural analysis that considers the dependent variable as a multinomial character (i.e. it considers the relative frequency of each behavioural category at the same time, instead of analysing each behaviour singularly as a dependent variable in separate models), with the possibility of accounting for repeated observations on individuals (Koster & McElreath 2017).
Following the procedure described in Koster and McElreath (2017), we ran the multinomial model with all the behaviours composing the ethogram (Table 2) as a response variable. We ran four different models to test for the structure and the relative importance of random effect terms: • Mod1: a model with ID (individual) as a random effect term and no fixed effects • Mod2: a model with ID nested in Family as random effect terms and no fixed effects • Mod3: a model with ID as a random effect term and all the variables described in Table 3 as fixed effects • Mod4: a model with ID nested in Family as random effect terms and all the variables described in Table 3 as fixed effects We included a random effect for Family to reflect the fact that members of families are mostly related to each other and share the same environmental conditions. All model specifications included 3 MCMC chains of 2000 iterations each, of which 1000 were for the warm-up. Model convergence was visually assessed for each model. We then compared the four models using the widely applicable information criterion (WAIC), an extension of the Akaike information criterion (AIC) commonly used in Bayesian analysis (Watanabe 2010). This criterion estimates pointwise out-of-sample prediction accuracy; i.e. it uses the computed log pointwise posterior predictive density (LPPD) and it corrects for the number of parameters used in the models to adjust for overfitting (Vehtari et al. 2017).
To assess behavioural variation in relation to continuous variables (i.e. to establish if a continuous variable affected the probability of observing a certain behaviour), we determined if the 95% credible intervals (CI) around the coefficients estimates included zero. Time of the day was modelled with a quadratic function. To assess differences among  (Carpenter et al. 2017), adapting the code provided by Koster and McElreath (2017). Data and code used in this manuscript are available at https:// data. mende ley. com/ datas ets/ 66gg4 mzn22/ draft?a= d9a10 53e-8b07-48f8-9d35-a6575 7a0e2 78.

Results
We analysed 3515 behavioural observations collected during 146-h-long scan sampling sessions on 48 marked individuals of different ages and sexes belonging to 12 different marmot families (Table 1). Foraging was the most represented activity, accounting for 54% of the behavioural observations (Table 2). Sitting in front of the burrow and vigilance were almost equal in their percentage (15% and 14.7% respectively). Moving/exploring accounted for 4.6% of behavioural observations, affiliative behaviours were 8.6%, and agonistic behaviours were 2%, while other behaviours accounted for only about 1% of observations.
The WAIC model selection indicated that the mixed effect model with ID nested in Family as random effect terms, in addition to all the variables described in Table 3 as fixed effects (Mod4), had a better fit than the other 3 models (Table 4), and we therefore selected this model for all further analyses. For all results below, we report the conditional probabilities for our reference condition (i.e. adult females during the first period (June), with cloudy weather, in the low site, at 08:00) and indicate in the text if different combinations of the predictors showed different trends. All estimates of the model are provided for the reference model (ESM 1).

Temperature
Our results did not show an effect temperature on the probability of any of the behaviours, for which all of the credible intervals included zero. All coefficients and the relative credible intervals are provided in the Electronic Supplemental Material (ESM_1).

Period of the season
The period of the season was related to the probability of foraging, sitting in front of the burrow, vigilance, and moving/exploring, as well as affiliative behaviours, and agonistic interactions (Figure 2; Table 5a). Foraging and sitting in Table 4 Model comparison using WAIC (Watanabe, 2010). Fixed effects included in the models are presented in Table 3 in addition to a quadratic term for time of the day. Lower WAIC values indicate the relatively best model in the selection process. The weight of the model is the probability that a model will give better prediction of the data   (Table 4) Fig. 2 Model prediction of behaviours as a function of the period of the season. As period is not a continuous variable, we could not represent a mean value of the variable. Bars represent the credible intervals calculated at 95% of the posterior samples of the model front of the burrow had a higher probability in the first and third periods compared to the second, while vigilance had a higher probability in July, the second period, compared to the other two periods. Moving/exploring had a higher probability during the first period compared to the second and third periods, as well as a higher probability during the second compared to the third. The probability of affiliative interactions was just barely higher in the first period compared to the second and was lower in the third period compared to both previous ones. The probability of agonistic interactions did not differ between the first and second periods; however, agonistic interactions were more common in the second period compared to the third.

Weather conditions
Weather conditions were related to the probability of foraging, sitting in front of the burrow, and affiliative behaviours (Table 5b). Alpine marmots had a higher probability of being observed foraging on cloudy days compared to variable and sunny days. Sitting in front of the burrow had a lower probability on cloudy days compared to both sunny and variable days. Affiliative behaviours had a lower probability on cloudy and variable days compared to sunny days, but these behaviours were similar on cloudy and variable days. Vigilance, agonistic, and moving/exploring behaviours were related to weather conditions.

Site
The probability of foraging, sitting in front of the burrow, moving/exploring, and affiliative behaviour did not differ between the two sites. There was also no difference in agonistic behaviour between the two sites. Vigilance behaviour was slightly higher in individuals inhabiting the low site compared to those living in the high site (Table 5c).

Sex
The sex of an individual was related to the probability of moving/exploring, agonistic, and affiliative behaviours (Table 5d). The probability of moving/exploring was barely higher in females compared to males, as well as the probability of engaging in affiliative interactions, which was higher in females than males. On the contrary, agonistic behaviour had a slightly higher probability to be seen in males compared to females.

Age and dominance status of individuals
Age and dominance status were related to the probability of moving/exploring as well as affiliative and agonistic behaviours (Table 5e). Affiliative behaviours varied among all age classes and dominance statuses. Dominant adult males had a slightly higher probability of affiliative interactions compared to subordinate males; this difference was not found among females. Among males, a lower probability of engaging in affiliative interactions was found for dominant compared to yearlings; this result was not found among females. Yearlings also showed a higher probability to engage in affiliative interactions compared to subordinate adults, which therefore represent the category with a lower probability of being engaged in affiliative interactions. Compared to yearlings, dominant individuals showed a higher probability of moving/exploring, while their agonistic behaviour was just slightly higher. All other combinations between predictors had the same differences among age and status categories.

Discussion
Results of this study indicate that extrinsic factors were related to the probabilities of engaging in all behavioural activities of alpine marmots, while intrinsic factors mostly regulated social behavioural activities. As predicted, and in agreement with other studies investigating activity budgets in the genus Marmota (Holmes 1984;Armitage et al. 1996;Perrin & Coulon 1993;Hannon et al. 2006; but see Armitage & Salsbury 2016), our results indicated that foraging was the most common activity in alpine marmots and that cloudiness is a key predictor of marmot activity.
In the yellow-bellied marmot, the activity of individuals outside of burrows was positively affected by cloud cover. However, contrary to our results on alpine marmots, the activity of yellow-bellied marmots was negatively related to solar radiation and temperature (Armitage & Salsbury 2016). Resting in a static position in front of the burrow entrance (an activity which may include basking; Armitage & Chiesura-Corona 1994) and vigilance were the two behaviours with the highest probabilities after foraging. In our study, temperature was the only covariate that did not affect the activity budget of alpine marmots. This was unexpected given previous literature on other marmot species and considering that other factors indirectly linked to temperature and solar radiation (Rangwala & Miller 2012;Rottler et al. 2019), such as the time of the day and the period of the season, affect the activity budget of alpine marmots. However, the limit given by temperature to a marmot activity is better described by the standard operative temperature of an individual, an index which integrates temperature of the environment, wind, and solar radiation (Armitage 2017) and has some flexibility in its extremes. We thus suggest that all these values, if possible, and not temperature alone should be considered in future studies of activity budget in marmot.
Foraging activity was high in the first period (June) and decreased in the second (July-August), the period characterized by higher vegetation productivity (Ranghetti et al. 2016). This suggests that the availability of high-quality food resources during July reduces the time necessary to fulfil the energetic demands of the alpine marmots, similar to findings on mouflon (Ovis gmelini musimon × Ovis sp.; Bourgoin et al. 2008). Previously, we showed that vegetation starts to grow around the end of May-early June at our study site (Ranghetti et al. 2016). We therefore suggest that, in the first period, marmots maximize their foraging effort to regain energy after hibernation, and during the second period, marmots can devote more time to other activities, such as social interactions. Similarly, in the third period just prior to winter hibernation, the time devoted to foraging increases, probably due to a lower quality of vegetation and the need to increase fat reserves, with a concomitant decrease in social interactions.
Foraging increased during the day, suggesting that this activity may be more favourable when visibility is good and the temperature is not too low as it is at high altitudes in the early morning and late afternoon, when the sun is below the horizon. Foraging activity is energetically demanding due to the costs associated with food searching and processing, and it can be less favourable on cloudless days, when animals are exposed to direct solar radiation. Accordingly, our results suggest that, on sunny days, alpine marmots spend more time sitting in front of their burrow, while they are more likely to forage when clouds cover the sun, resulting in lower solar radiation (Pyrgou et al. 2019;Rottler et al. 2019). Indeed, solar radiation is the variable influencing the most heat transfer through a marmot's fur: at mid-day, with direct solar radiation, the basal heat production of a marmot can increase by 10 times, generating a major heat stressor in marmots (Armitage 2009;Melcher et al. 1990). But alpine marmots do not appear to have any mechanisms to disperse excess heat besides burrowing (Webb 1979;Melcher et al. 1990), laying under big stones, orienting their bodies such that they limit direct exposure to the sun during the hours of intense radiation (Armitage 2009), and adjusting activity above ground (Armitage 2009), as for example foraging more on cloudy than cloudless days.
Furthermore, we found that sitting in front of their burrows is more frequent during the early morning and late afternoon in alpine marmots. On the contrary, in yellowbellied marmots, Armitage and Salsbury (2016) collected most observations of sitting and resting behaviour during mid-day. In the alpine habitat inhabited by alpine marmots, characterized by few, if any, shaded areas in the open alpine prairies, it is possible that marmots prefer to burrow under the ground instead of remaining sitting in front of their burrows for long periods during the hours of highest solar radiation. This behaviour has been already documented in Cape ground squirrels Xerus inauris, where individuals tend to go underground during hours of intense heat to lower their body temperature (Scantlebury et al. 2012).
Vigilance was more frequently observed at the low-elevation site, characterized by discontinuous visibility, compared to the high-elevation site, confirming results documented in the same species (Ferrari et al. 2009). Similarly, yellowbellied marmots were less vigilant in areas of low vegetation compared to those with high vegetation (Chmura et al. 2016): for a prey species like marmot, visual obstacles represented by big rock or high vegetation may decrease the possibility of spotting a predator during foraging activity, resulting in the necessity of increasing vigilance rates. Considering the different levels of human disturbance at the two sites (i.e. higher at the low site; CF, pers. obs.), we cannot exclude human disturbance, and not only natural predators favour the observed higher vigilance rate at the low site, as has been shown in other wild mammals (Pęska & Ciach 2018).
We predicted differences in vigilance at the two sites, but we also found that vigilance behaviour varied in response to most of the extrinsic covariates included in our model. Specifically, we found that marmots were more likely to be vigilant in the early morning and late afternoon. When the sun is rising, or is going down, visibility may be reduced, which may increase the risk of predation for alpine marmots (Semenov et al. 2000), especially from red foxes, an important predator of marmots at our study area (Cagnacci et al. 2003). Vigilance activity changed also over the season, reaching its peak during the second period, when pups emerge from their burrows, to forage, and play with other members of their group on their families' territory. We have observed that red foxes visit areas inhabited by alpine marmots more frequently as pups emerge from their burrows (CF, unpublished data), and therefore, this period likely requires more anti-predatory vigilance as demonstrated in meerkats (Suricata suricatta; Santema & Clutton-Brock 2013). We thus suggest that the higher vigilance observed in the second period may be related to a higher predation risk for the pups.
Moving/exploring was more frequently observed in the second period compared to the rest of the season. During the first period, marmots may limit exploratory activity due to the time they need to forage to recover after the winter period. The observed decrease of moving/exploring in the third and last period is related to a phase of pre-hibernation for the species when the overall activity of marmots decreases (Webb 1979;Perrin & Coulon 1993;Kŏrtner & Heldmaier 1995). Accordingly, affiliative behaviour was at its highest level in period A, supporting the results of Perrin et al. (1993), who suggested that early in the season, postemergence from hibernation is important for establishing a stable hierarchy within family groups.
As expected, dominant individuals had a higher probability of agonistic and moving/exploring behaviour to defend the family territory, regularly moving all around to mark the boundaries and to eventually interact with intruders exhibiting agonistic display or direct attack (Lenti Boero 1995). In a previous study on the same population, Pasquaretta et al. (2015) found that dominant males are also more often involved in agonistic interactions with both members of the family and intruders, compared with agonistic interactions carried out by other members of the family group. These interactions, on which we based our dominance status ranking (Panaccio et al. 2021), are observed with a higher frequency in the second period, coinciding with the emergence of the pups. Wandering individuals attempting to take over the territory represent a risk for dominant individuals and their offspring, which could be killed by the intruder (Hackländer & Arnold 1999). Our experience in the field indicates that early May is the period with the highest frequency of territorial quarrels, but we had no appropriate data to include this period in our analysis. We are also aware that food resources are still scarce in May at the elevations we studied marmots, while in June, vegetation starts to grow. We suggest that in June, marmots spend most of their time foraging to recover body mass and energy, while, during July, marmots devote more time to agonistic behaviours because there is greater food availability (Ranghetti et al. 2016) and the young of the year need to be protected.
Yearlings were more likely to have affiliative interactions compared to dominant and subordinate adults, a result which has been found in the yellow-bellied marmot (Armitage 2012) such as in other social mammals (Clutton-Brock & Sheldon 2010). At this age, individuals are not reproductively mature yet, which likely favours a higher frequency of affiliative interactions with individuals of all age classes within the family group. Among adults, dominant ones have a higher probability of engaging in affiliative interactions compared to subordinates, and females more than males. Dominant individuals often perform and receive this type of interaction, which serves to maintain the hierarchy and reinforce the cohesion of the group, with a higher number of individuals compared to subordinates (Clutton-Brock & Huchard 2013).
Social interactions were little represented in our data; in particular, agonistic interactions represented only 2% of the observations. This could be partially due to the fact that agonistic interactions are generally rare in marmots and therefore may be underrepresented in the activity budget estimated with scan sampling. We suggest that, in future studies focused on social interactions, observers use an "all occurrence" sampling method for categories of behaviours scarcely observable but of high relevance for the species such as agonistic interactions (Martin & Bateson, 1993;Blumstein et al. 2018).

Conclusion
In the present study, we detailed the above-ground, daytime activity budget of alpine marmots in relation to extrinsic and intrinsic factors using a Bayesian hierarchical multinomial regression approach (Koster & McElreath 2017). Despite being a well-studied species, a complete description of the activity budget of alpine marmots was lacking, and this study fulfils this gap in the literature and provides a useful tool for future studies on this species.
Our results indicate that all the extrinsic variables related to climatic and environmental conditions, such as weather, site, seasonal period, and time of day but with the exception of temperature, are associated with all the behaviours included in the activity budget of this species. Thus, external conditions, which are generally the same for all marmots, influence all individuals no matter their age, sex, and dominance status. We suggest that temperature of the environment alone may fail in detecting variation in activity during the day, while solar radiation may be a clearer driver of marmot behaviour to be considered in future studies. Intrinsic factors, such as age, sex, and dominance status are associated with activities related to the social dynamics of alpine marmots, such as affiliative, agonistic, and moving/exploring behaviours.
In the future, we suggest collecting data on individual activity budget allocation on recognizable individuals during multiple consecutive years and considering individual's phenotypic plasticity (sensu Nussey et al. 2007) in response to inter-annual environmental variation. In species influenced by climatic and environmental habitat changes, the plasticity of an organism may favour adaptation to the new environmental conditions (Charmantier et al. 2008;Maldonado et al. 2017): the alpine marmot, a species scarcely adapted to high temperature and dry environment (Armitage 2013), will be a pivotal subject to study the possibility, if any, for alpine species to cope with a changing environment.
Handling of animals lasted for a mean of 30 ± 8 min, and marmots were released in the place of capture as soon as the operations ended. All tagged individuals were observed behaving in the usual way within few hours from capture.

Conflict of interest The authors declare no competing interests.
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http:// creat iveco mmons. org/ licen ses/ by/4. 0/.