Oikos 000: 001–012, 2012 doi: 10.1111/j.1600-0706.2012.20339.x © 2012 The Authors. Oikos © 2012 Nordic Society Oikos Subject Editor: Matthew Symonds. Accepted 20 January 2012 Adaptive strategies for managing uncertainty may explain personality-related differences in behavioural plasticity Kimberley J. Mathot, J. Wright, B. Kempenaers and N. J. Dingemanse K. J. Mathot ([email protected]) and N. J. Dingemanse, Evolutionary Ecology of Variation Group, Max Planck Institute for Ornithology, Eberhard Gwinner Strabe 7, DE-82319 Seewiesen, Germany. Njd also at: Behavioural Ecology, Dept Biology II, Ludwig-Maximilians Univ. of Munich, Grobhadener str. 2, DE-82152 Planegg-Martinsried, Munich, Germany. – J. Wright, Dept of Biology, Norwegian Univ. of Science and Technology (NTNU), NO-7491 Trondheim, Norway. – B. Kempenaers, Dept of Behavioural Ecology and Evolutionary Genetics, Max Planck Institute for Ornithology, Eberhard Gwinner Strabe 7, DE-82319 Seewiesen, Germany. There is growing evidence that individuals within populations show consistent differences in their behaviour across contexts (personality), and that personality is associated with the extent to which individuals adjust their behaviour as function of changing conditions (behavioural plasticity). We propose an evolutionary explanation for a link between personality and plasticity based upon how individuals manage uncertainty. Individuals can employ three categories of tactics to manage uncertainty. They can 1) gather information (sample) to reduce uncertainty, 2) show strategic (statedependent) preferences for options that differ in their associated variances in rewards (i.e. variance-sensitivity), or 3) invest in insurance to mitigate the consequences of uncertainty. We explicitly outline how individual differences in the use of any of these tactics can generate personality-related differences in behavioural plasticity. For example, sampling effort is likely to co-vary with individual activity and exploration behaviours, while simultaneously creating population variation in reactions to changes in environmental conditions. Individual differences in the use of insurance may be associated with differences in risk-taking behaviours, such as boldness in the face of predation, thereby influencing the degree of adaptive plasticity across individuals. Population variation in responsiveness to environmental changes may also reflect individual differences in variance-sensitivity, because stochastic change in the environment increases variances in rewards, which may both attract and benefit variance-prone individuals, but not variance-averse individuals. We review the existing evidence that individual variation in strategies for managing uncertainty exist, and describe how positivefeedbacks between sampling, variance-sensitivity and insurance can maintain and exaggerate even small initial differences between individuals in the relative use of these tactics. Given the pervasiveness of the problem of uncertainty, alternative strategies for managing uncertainty may provide a powerful explanation for consistent differences in behaviour and behavioural plasticity for a wide range of traits. Behavioural variation has traditionally been studied at the level of the population, but more recent work has highlighted the fact that within populations there is often marked repeatable variation between individuals (Réale et al. 2007, Bell et al. 2009). These consistent individual differences in behaviour across contexts have become known as ‘animal personality’ (Sih 2004, Dingemanse et al. 2010) and have been reported in species ranging from insects to primates. Understanding how different personality types arise and are maintained has been an area of major interest in recent years (Dall et al. 2004, Dingemanse and Wolf 2010, Wolf and Weissing 2010) and explicit consideration of animal personality has led to new insights concerning the evolution of behaviour (Wolf and Weissing 2010). Here we argue that animal personality has an underlying ecological cause, environmental uncertainty, which may have important implications for personality-related differences in behavioural plasticity. Although personality is defined as consistent differences in behaviour across contexts, this does not imply an absence of behavioural plasticity at the level of the individual (Dingemanse et al. 2010). Under changing environmental conditions, individuals can adjust their behaviour while remaining consistently different from each other. However, the fact that there are consistent differences between individuals does suggest that plasticity is limited, with any given individual showing only a subset of the behavioural diversity present in the whole population (Sih 2004). Given the potential selective advantage to individuals of being able to adjust their behaviour to current conditions, it is a challenge to understand why plasticity should be limited at all (Wolf et al. 2008). Commonly invoked explanations include the idea that plasticity, or the ability to be plastic, is costly, and that there are limits to the benefits that individuals can derive from being plastic (DeWitt et al. 1998). There is also evidence that individuals not only show 1 limited behavioural plasticity, but that the level of plasticity differs between individuals from the same population (Dingemanse et al. 2010). Theoretical work has shown that consistent individual variation in behavioural plasticity can evolve and be maintained in populations via frequencydependence (Wolf et al. 2008, Dubois et al. 2010) and via positive feedbacks that reduce the cost of plasticity for individuals that have previously exhibited plasticity (Wolf et al. 2008). Personality-related differences in behavioural plasticity can take at least two forms. The average level of a given behaviour may be correlated with the degree of plasticity for the same behaviour (i.e. elevation–slope covariance, Fig. 1a). For example, aggressive mice do not adjust their level of aggression as a function of social context, while less aggressive mice do (Natarajan et al. 2009). Alternatively, personality-related differences in behavioural plasticity can arise when consistent individual differences in one behaviour correlate with the level of plasticity in another behaviour (Fig. 1b). For example, great tits Parus major scored ‘slow’ (as opposed to ‘fast’) for exploration adjust more rapidly to changes in the spatial location of food (Verbeek et al. 1994). There is a growing body of empirical evidence for both types of personality-related differences in behavioural What is uncertainty, and how can animals respond to it? Behaviour A (a) Environmental gradient Behaviour B (b) Environmental gradient Figure 1. Personality-related differences in behavioural plasticity illustrated using a behavioural reaction norm approach. In (a) individuals differ in elevation (personality) and slope (plasticity), with elevation–slope covariance for the same behaviour. In (b) individuals differ in elevation (personality) for behaviour A, as indicated by the type of line (solid fast explorer, dashed slow explorer). The lines indicate individual behavioural plasticity for behaviour B. Individual differences in behaviour A are correlated with individual differences in slope (plasticity) in behaviour B. 2 plasticity (Table 1). Just as limited behavioural plasticity and individual variation in behavioural plasticity require explanation, so does the observation that plasticity differs between types of individuals. Although a variety of explanations have been put forth (Table 1), a general framework for understanding the underlying causes of personality-related differences in behavioural plasticity is lacking. Here, we propose that differences between individuals in how they behave when faced with environmental uncertainty may provide an explanation for personality-related differences in behavioural plasticity. We begin with a brief overview of what we mean by uncertainty, and review the alternative tactics available for managing uncertainty. We then outline how individual variation in the use of any of these tactics could generate both consistent differences in behaviour (i.e. personality) and consistent differences in behavioural plasticity, and review the existing evidence that such individual differences in strategies for managing environmental uncertainty exist. We argue that more explicit consideration of the mechanisms underlying the linkage between personality and behavioural plasticity may provide important insights into the evolutionary potential of both personality and plasticity. Finally, we outline promising avenues for future research. Animals are constantly faced with decisions, such as where, when and how long to forage, with whom to mate, where to breed, etc. While classical optimization models assume that animals are omniscient, in reality decisionmaking is fraught with uncertainty (Dall and Johnstone 2002). Uncertainty exists because animals cannot know the true state of all alternative options at all times. There are limitations to the amount of time and energy that animals can invest in gathering and storing information about alternative options, information ‘sampling’ may be imperfect and involve perceptual errors, and the environment determining the pay-offs of alternative options often varies stochastically and may therefore change rapidly and unpredictably (Stephens and Krebs 1986). Uncertainty can have profound consequences when it leads animals to make the wrong fitness-relevant decisions, and animals have therefore developed various solutions for coping with uncertainty. Although the problem of uncertainty applies to almost every decision an animal faces, we focus our review on uncertainty in a foraging context, if only because most previous work on the problem of uncertainty has been conducted in this field. Additionally, while empirical data on behavioural reactions norms (i.e. behavioural plasticity) are more commonly available for behavioural traits that are frequently studied within the animal personality paradigm (i.e. aggression, activity, and exploration), we believe that alternative strategies for managing uncertainty may underlie individual variation in a wide array of behavioural traits. Tactics for managing uncertainty can be broadly classified into three categories: sampling, variance-sensitivity, and insurance. Sampling (i.e. gathering and storing) information concerning relevant features of the environment allows individuals to reduce uncertainty (Stephens 1987, 3 yes yes yes yes/no4 yes yes3 yes yes Δ provisioning rate Δ provisioning rate Δ proportion of time spent vigilant Δ aggressiveness Δ stress response Δ aggressiveness Δ aggressiveness temperature experience experience social context stress response5 aggressiveness aggressiveness proportion of time spent vigilant aggressiveness provisioning rate exploration nestling age partners provisioning rate predation danger social experience time Δ exploration Personality-related differences in plasticity yes3 no no yes water temperature Measure(s) of plasticity1 Δ boldness, Δ activity, Δ aggression Δ boldness boldness, activity, aggression boldness Environmental gradient (P) personality-related differences in brain neural networks none postulated (P) personality-related differences in attention to stimuli (P) state-dependent constraints on trait expression (P) allometric relationship between nestling size and demand, (P) differences in the ability to detect changes in offspring demand, or (P) individual differences in maximum provisioning rates (U) state-dependent benefits for anti-predator behaviour (U) personality-related differences in the benefit of plasticity none postulated none postulated Postulated explanation (U or P)2 2U ultimate, (delta) refers to change. P proximate. 3Elevation slope covariance was non-linear: extreme activity types showed low plasticity, intermediate types showed high plasticity. 4Elevation slope covariance found across one predation danger gradient, but not another. Negative elevation-slope covariance interpreted as a numerical constraint. 5Measured as a categorical variable: shy, timid, aggressive. 1Δ Tree swallows Tachycineta bicolor Yellow-eyed penguins Magadyptes antipodes Mammals Golden hamster Mesocricetus auratus House mouse Mus musculus domesticus Red knots Calidris canutus Rainbow trout Oncorhynchus mykiss Three-spined stickleback Gasterosteus aculeatus Birds House sparrows Passer domesticus Fish Damselfish (Pomacentrus spp.) Species Behavioural trait(s) lab lab field field lab field lab lab lab Setting Natarajan et al. 2009 David et al. 2004 Ellenberg et al. 2009 Betini and Norris 2012 Mathot et al. 2011 Westneat et al. 2011 Dingemanse et al. 2012 Frost et al. 2007 Biro et al. 2010 Refs Table 1a. Review of studies on personality-related differences in behavioural plasticity: individual variation in elevation and slope of a behavioural reaction norm for a given behaviour with elevation slope covariance (illustrated in Fig. 1a). 4 Fish Convict cichlid Amatitlania nigrofasciata starvation risk (time of day) and perceived predation risk experience exploration aggression maze orientation or presence of spatial cues instantaneous change in food availability exploration boldness instantaneous change in location of food exploration predation danger activity social context experience boldness exploration experience exploration4 experience instantaneous change in predation danger Environmental gradient number of errors before solving maze yes3 yes3 yes Δ proportion of time on more profitable feeder time to learn avoidance of aposematic prey yes3 yes yes yes3/no5 yes3 yes3 no yes yes no yes3 distance travelled to locate new food time to learn acoustic discrimination task ability to solve visual discrimination task type of response (freeze/ escape) and latency to resume pre-stimulus behaviours time to locate ‘good’ food patch time to locate ‘good’ food patch Δ flight initiation distance following simulated predator intrusions time to react to predator Measure of plasticity1 Personality-related differences in plasticity (P) HPA axis underlying variation in both aggression and learning none (P) personality-related differences in sampling behaviour and/or sensitivity to stimuli (P) personality-related differences in value of past and current information (U) personality-related differences in life history strategies none postulated lab (P) HPA axis underlying variation in both boldness and learning (P) personality-related differences in vulnerability to predation and/or differences in detection ability lab lab Benus et al. 1991 Exnerová et al. 2010 Quinn et al. 2012 van Overveld and Matthysen 2010 field field Verbeek et al. 1994 Marchetti and Drent 2000 Quinn and Cresswell 2005 Arnold et al. 2007 Guillette et al. 2009, 2011 Rodriguez-Prieto et al. 2011 Jones and Godin 2010 Refs lab lab lab lab lab lab Setting none postulated (P) personality-related differences in exposure to stimuli and attention to stimuli (U) personality-related differences in food/safety tradeoff and/or (P) differences in perceptual constraints Postulated explanation (U or P)2 2Type (delta) refers to change. of explanation (U) ultimate, (P) proximate. 3Evidence for personality-related differences in plasticity should be considered with caution because the measure of plasticity could be interpreted as a personality trait rather than plasticity. 4Note that the exploration score used differed from the conventional exploration score for small passerines, and repeatability of exploration score was not tested. 5Significant personality-related differences in type of response to gradients in predation danger (crouching vs escape flights), but not in latency to resume activity post-hawk encounter. 1Δ Mammals House mouse Mus musculus domesticus Great tit Parus major Birds Black-capped chickadee Poecile atricapilius Blue tit Cyanistes caeuleus Chaffinch Fingilla coelebs boldness exploration sociability neophobia exploration Species Reptiles Iberian wall lizard Podarcis hispanica Behavioural trait(s) Table 1b. Reviews of studies on personality-related differences in behavioural plasticity: individual differences in elevation of the behavioural reaction norm (BRN) for behaviour A are correlated with the BRN slope for behaviour B (illustrated in Fig. 1b). Fitness (a) Benefit Cost Reward (b) Benefit Fitness Dall and Johnstone 2002). By sampling alternative options regularly, an individual can track environmental change and benefit from exploiting options that are the most profitable and avoiding options that are not. While uncertainty can be reduced via sampling, it cannot be eliminated entirely. Some degree of uncertainty always remains, because of stochastic variation in the environment, and because of limits to perception and storage of information (Stephens and Krebs 1986, Stephens et al. 2007). Individuals can respond adaptively to the uncertainty generated by any unpredictable stochastic variation in resources by strategically adjusting their preference or aversion for variance (i.e. variance-sensitivity). This has previously been referred to as risk-sensitivity (risk-prone and risk-averse), but the variance sensitivity terminology used here is now considered to be more appropriate (Stephens et al. 2007). Variance-sensitive decisions are expected whenever animals have non-linear utility functions – that is, whenever fitness does not increase linearly with increasing resource value (Stephens and Krebs 1986, McNamara et al. 1991, Stephens et al. 2007). An individual that prefers the more variable option is said to be ‘variance-prone’, while an individual preferring the less variable option is ‘variance-averse’. By choosing the variable option, an animal has the chance of obtaining a reward that is greater than the mean. However, the animal also has a chance of experiencing a reward that is less than the mean. An individual with a concave utility function (Fig. 2a) should be varianceprone, because the fitness benefit of obtaining a reward greater than the mean exceeds the fitness cost of a obtaining a reward below the mean (Stephens 1981, Stephens and Krebs 1986). Conversely, an individual with a convex utility function (Fig. 2b) should be variance-averse, because the fitness cost of obtaining a reward smaller than the mean outweighs the potential fitness benefit of obtaining a reward above the mean (Stephens 1981, Stephens and Krebs 1986). Another means of managing uncertainty is to act in a way that minimizes its potential consequences, called ‘insurance’ (Dall and Johnstone 2002, Dall 2010). For example, by maintaining fat stores, an individual can buffer itself against the negative fitness consequences of unpredictably occurring poor foraging periods (Dall 2010). Several extrinsic factors have been identified that shape the adaptive use of sampling behaviour (Stephens 1987), variance-sensitivity (Stephens 1981, Bateson 2002) and insurance (Houston and McNamara 1993). However, it is important to note that flexibility in tactic use does not preclude the possibility that individuals differ consistently from one another. For example, investment in sampling tends to increase with increasing environmental stochasticity, but individuals that have a relatively high use of sampling compared with congeners when the environment is stable may also have a relatively high use of sampling when the environment is more stochastic. In this article, we focus on the implications of consistent differences in the use of these alternative tactics in the face of uncertainty by individuals from the same population. We outline how individual differences in the relative use of these alternative tactics could generate personalityrelated differences in behavioural plasticity, and review the evidence that such individual differences in response to uncertainty exist in nature within single populations. Cost Reward Figure 2. Examples of non-linear utility functions. Dots with horizontal error bars show how a given deviation from the mean reward value differentially affects fitness when the deviation is positive (benefit illustrated by the blue line) versus negative (cost illustrated by the red line), depending on the shape of the utility function. (a) Illustrates an individual with a concave utility function, where for a given deviation from the mean reward benefit cost. The individual should therefore be variance prone. (b) Illustrates an individual with a convex utility function, where for a given deviation from the mean reward benefit cost. The individual should therefore be variance averse. Sampling behaviour and personality-related differences in behavioural plasticity Sampling is an investment of time and/or energy in gathering and storing information concerning relevant features of the environment. Sampling allows individuals to track changes in the environment and reduces uncertainty (Stephens 1987, Dall and Johnstone 2002). Hence, indivi duals that invest relatively more (time, energy, etc.) in sampling or that are relatively better at sampling, for example because they make fewer perceptual errors, will perceive changes in the state of alternative foraging options sooner, and so might be able to adjust their behaviour more rapidly following a change in the state of a relevant environmental parameter. Depending on the spatial distribution of resources, and the conspicuousness of cues regarding resource quality, greater sampling may have particular associations with activity and/or exploration behaviour. Activity and exploration are two behavioural traits for which individuals are known to differ consistently over a range of environmental gradients, where activity is a measure of the 5 speed with which an individual moves through a familiar environment, and exploration is a measure of the speed with which an individual moves through a novel environment (Réale et al. 2007). Several studies have found a positive correlation between activity and exploration, even after controlling for the effect of activity on exploration scores (Sih 2004). Thus, such associations represent a correlation between two distinct behaviours measured in different behavioural assays. Furthermore, the strength of the positive relationship between activity and exploration can vary between populations according to the adaptive context (Dingemanse et al. 2007). When resources are widely dispersed and cues to their presence are easily detected, individuals that have a higher sampling rate may move through the environment more quickly (i.e. high activity and/or fast explorers) and may also be quicker to adjust their behaviour in response to changes in the distribution of resources. Conversely, when resources are spatially clumped and the cues for them are less conspicuous, sampling will require an investment of time (Dall and Johnstone 2002) and may also require that animals stop moving in order to process stimuli (Kramer and McLaughlin 2001). In this case, individuals that sample more thoroughly may be those that move through the environment more slowly than individuals that sample only superficially (Verbeek et al. 1994, Wilson and Godin 2010). In this latter case, we might predict that if individuals differ in their relative investment in sampling, individuals that sample more thoroughly would have lower exploration/ activity scores, but exhibit greater plasticity. This predicted relationship between exploration/activity and plasticity is consistent with patterns previously observed in great tits and convict cichlids Amatitlania nigrofasciata: individuals with slow exploration scores are quicker to adjust to changes in the distribution of known food patches (Verbeek et al. 1994) and the presence of predators in familiar environments (Jones and Godin 2010), respectively. Although studies of sampling behaviour have traditionally asked whether the behaviour of the average individual conforms to predictions from optimal sampling models, a few studies have reported consistent individual differences in sampling behaviour. In one study, great tits were able to choose between two food patches of differing quality, and individuals differed markedly in the number of sampling events made before choosing a food patch (Krebs et al. 1978). In a second study, the sampling behaviour of white king pigeons (a breed of rock pigeon, Columba livia) was recorded when faced with a food patch, the quality of which fluctuated randomly between good and poor. Individuals differed not only in how frequently they sampled the variable food patch, but also in how quickly they switched to exploiting it as it became profitable (Shettleworth et al. 1988). Additionally, individual differences in intermittent locomotion, characterized by movement interspersed with pauses, have been documented in several studies (McLaughlin and Grant 2001, Trouilloud et al. 2004, Wilson and Godin 2010), and this may also reflect individual differences in sampling behaviour if pauses during locomotion facilitate the perception of stimuli (Kramer and McLaughlin 2001). 6 While these studies documented individual variation in sampling behaviour in a solitary context, individual differences in sampling behaviour may be even more marked in social contexts, due to frequency-dependent payoffs for sampling, and the decision to invest in sampling or not can be seen as a producer-scrounger game (Giraldeau and Caraco 2000, Dall 2005). Individuals that invest in sampling can act as sources of social information for congeners regarding the location of resources, without requiring congeners to sample the environment themselves (Giraldeau and Caraco 2000, Dall 2005). As more individuals in a group invest in sampling (producers), the payoff for sampling decreases, because individuals also have the option to glean information from congeners via social information (scroungers) (Giraldeau and Caraco 2000). Because the payoffs to individual sampling are frequency-dependent, individual differences in the relative investment in sampling can be maintained within a social group or population. A recent study in nutmeg mannikins Lonchura punctulata explicitly tested whether individuals differ in their sampling behaviour in two social contexts: a patch choice game and a social foraging game (Morand-Ferron et al. 2011). They found that within each context, individuals differed consistently in their sampling frequency, but sampling behaviour was not correlated across the two games. Other studies have reported that individual differences in the propensity to acquire information personally (producer) versus socially (scrounger) are linked to both individual variation in behavioural (Marchetti and Drent 2000, Kurvers et al. 2010a, b) and physiological traits (basal metabolic rate: Mathot et al. 2009). Variance-sensitivity and personality-related differences in behavioural plasticity Variance-sensitivity is a measure of the extent to which individuals use observed differences in stochastic variation in the value of resources to increase fitness. Differences in variance-sensitivity may generate consistent individual differences in behaviour, because the types of options that will be exploited by variance-prone versus variance-averse individuals will differ. It has previously been suggested that personality-related differences in plasticity may be the result of personality-related differences in sensitivity to environmental stimuli (Verbeek et al. 1994), and we suggest that individual differences in variance-sensitivity may provide a parsimonious explanation for both individual differences in average behaviour (animal personality) and personalityrelated differences in sensitivity to stimuli. Imagine individuals feeding in a food patch that experiences a sudden drop in patch quality. An individual that adjusts its behaviour immediately following the drop in quality, for example by leaving to feed at an alternative food patch, would be said to be more sensitive to environmental stimuli and to have a higher behavioural plasticity compared with an individual that requires multiple sampling events before adjusting its behaviour. We hypothesize that differences in the tendency to be variance-prone or variance-averse could generate differences in how individuals respond to changing stimuli from the environment. This is because as the state True resource value of the environment changes, animals can update their estimate of a particular environmental parameter in a variety of ways. All past events may receive equal weight, more recent events may be given greater weight, or animals may only consider events within a fixed memory window (Stephens and Krebs 1986, McNamara and Houston 1987). Importantly, regardless of how an individual updates its estimate of an environmental parameter, a change in the experienced value can result in a change in both the estimated mean value and the estimated variance of pay-offs expected, as illustrated in Fig. 3. If individuals differ in their variancesensitivity, variance-averse individuals would be expected to respond to changes in the state of the environment sooner compared with variance-prone individuals, resulting in a greater apparent sensitivity to stimuli and behavioural plasticity. Theoretical studies have identified several factors that may lead to individual differences in the shape of the utility function, which would in turn generate individual differences in preference or aversion to variance (McNamara and Houston 1992). These include the level of reserves an individual carries and the biological significance of energy for the individual (i.e. starvation avoidance, reproduction, or growth) (McNamara and Houston 1992). While we are not aware of any study that has directly tested for individual differences in utility functions, there are a few studies to date that have considered whether individuals differ consistently in their preference or aversion to variance. In one study in Siberian jays Perisoreus infaustus, breeders tended to be variance-prone while subordinates tended to be variance-averse (Ratikainen et al. 2010). Another study reported that female green woodhoopoes Phoeniculus purpureus were more variance-averse than males (Wright and Radford 2010). These differences in preference or aversion for variance were attributed to differences in energetic requirements between classes of individuals (subordinates vs dominants, and males vs females respectively), which ultimately affect the shape of the utility function (Ratikainen et al. 2010, Wright and Radford 2010). There are other, more subtle, sources of variation in energy thresholds between individuals that may affect variance-sensitivity. For example, inter-individual variation in metabolic rates is well documented, often exceeding two-fold levels of variation among individuals from the same population (Speakman et al. 2004). Because differences in metabolic rates reflect differences in minimum energy requirements, an individual with a higher metabolic rate will have a higher probability of experiencing an energetic 25 20 15 10 5 0 (a) 0 10 20 30 40 Time Estimated value ± CV Long-term averaging Memory window Bayesian 25 20 15 10 5 0 0 (d) (c) (b) 10 20 30 40 0 10 20 30 40 0 10 20 30 40 Time Figure 3. Illustration of how changes in patch quality lead to a change in the estimated value of the patch, as well as the variance or uncertainty associated with that estimate. (a) Illustrates hypothetical fluctuations in resource value (solid line). The resource value experienced at a given time is indicated by solid circles. Changes in the resource value result in changes in both the estimated patch quality and the estimated variance according to the different rules used to update information: (b) long-term averaging, (c) restricted memory window, and (d) Bayesian updating (weighted averages). In (c), the memory window is 5 time units. In (d), the most recently sampled value is weighted 3 greater than all previous samples. Variance estimates are shown as the coefficient of variation (CV), which controls for the effect of the mean on any error estimates. 7 shortfall, and consequently should be variance-averse early in a foraging bout and variance-prone late in a foraging bout (Mathot et al. 2009). Individual differences in foraging tactic use in zebra finches Taeniopygia guttata are consistent with this prediction (Mathot et al. 2009), although it should be noted that explanations other than metabolic rate-related differences in variance-aversion may also account for this pattern (Mathot et al. 2009). If variation in metabolic rates is associated with differences in varianceaversion (or preference), this could have important and long-lasting consequences for individual differences in response to uncertainty, since metabolic rates are known to have significant heritability in several systems (Biro et al. 2010). Associations between metabolic rate and personality have previously been hypothesized by several authors (Stamps 2007, Biro and Stamps 2008, Careau et al. 2008, Biro et al. 2010, Houston 2010), however the implications of inter-individual variation in metabolic rates for variancesensitive behaviour and behavioural plasticity have yet to be explored. Insurance and personality-related differences in behavioural plasticity Individuals can also adopt tactics that mitigate the fitness consequences of irreducible uncertainty. Tactics that provide a buffer against worst-case scenarios are called ‘insurance’, and individual variation in the use of insurance may be an important factor underlying animal personality. Maintaining extra energy stores is a classic example of insurance against stochastic variation in food availability (Dall 2010). However, possessing greater energy stores alters the tradeoff between acquiring food and avoiding predation, and individuals possessing greater reserves are expected to expose themselves less to the chance of being predated and consequently, be less bold (Houston and McNamara 1993, Clark 1994, Dall et al. 2004). In addition to being associated with differences in average behaviour, such as boldness, individual differences in the tendency to maintain fat reserves as a form of insurance may also be expected to be associated with individual differences in behavioural plasticity. Individuals with greater energy reserves are expected to show stronger anti-predator responses across gradients of increasing predation danger (i.e. greater behavioural plasticity), both because they are better able to afford a reduction in feeding rate and because they have greater assets to protect (Clark 1994, Luttbeg and Sih 2010). Theoretical work shows that even stochastic individual differences in energy reserves can generate long-lasting individual differences in response to predation risk via positive feedbacks between state and behaviour, and as a result, even chance differences in energy reserves can persist over time (Rands et al. 2003, 2008, Luttbeg and Sih 2010). There is substantial empirical evidence from insects, birds and mammals indicating that not only do individuals differ in their tendency to maintain energy reserves, but that this variation is often repeatable, and in some cases, may be heritable (Merilä et al. 2001, Schulte-Hostedde et al. 2005). In addition, we predict that individual variation in the use of insurance may be linked with both sampling behaviour and variance-sensitivity, with fat-insurers having 8 higher sampling rates and being more variance-averse. Previous theoretical work has shown that individuals that have greater amounts of energy reserves will have greater opportunity to invest in sampling (Dall and Johnstone 2002), with resultant consequences for personality-related differences in behavioural plasticity as outlined above. Similarly, variation in energy reserves will influence an individual’s tendency to be variance-prone versus varianceaverse, with increased energy reserves generally favouring variance-averse behaviour (Stephens and Krebs 1986, Bateson 2002). Although theoretical studies suggest that associations between insurance, sampling and variancesensitivity are likely, empirical tests of these predicted associations are currently lacking. Positive associations between alternative tactics for managing uncertainty warrant explicit investigation, as they could generate suites of correlated behaviours, also known as behavioural syndromes, and may also result in individuals being more (or less) plastic across suites of behaviours. Another form of insurance against stochasticity in foraging conditions is to maintain a range of options (i.e. to generalise) (Dall 2010). An individual that generalises on a broad array of prey types is much less likely to suffer catastrophic reductions in food intake and starvation during episodes of bad foraging conditions. Individual differences in the tendency to generalise as a form of insurance, by definition, will generate consistent individual differences in behaviour because generalists will adopt different behavioural tactics as compared to specialists. For example, generalists may exploit a broader range of prey, resulting in differences in foraging behaviours, types of habitats occupied and/or home-range size. Furthermore, differences in the tendency to generalise or specialise are likely to be associated with individual variation in plasticity because generalist foragers (i.e. insurers) may temporarily specialize on subsets of their repertoire according to current conditions, thus appearing more behaviourally plastic (van Tienderen 1997, Dall 2010). There is already evidence that generalists and specialists can coexist in populations (Wilson and Yoshimura 1994), and we would argue that in some cases, consistent individual differences in behaviour (i.e. animal personality) may reflect individual variation in this form of insurance. For example, differences in tendency to maintain a range of alternative foraging options (e.g. use of a range of foraging patches) may be reflected in differences between individuals in their activity and exploration behaviours. How do individual differences in responses to uncertainty arise and persist? Although animal personality and behavioural plasticity are often thought of as traits that are under direct selection, several recent works have called into question the validity of this assumption (McNamara and Houston 2009, Dochtermann 2011, Dingemanse et al. 2012, Fawcett et al. in press). In this article, we have described how both variation in personality and plasticity may arise as a result of individual differences in the use of tactics for managing uncertainty. Individual differences in sampling behaviour, insurance and/or variance-sensitivity may come about in a variety of ways, and following McNamara and Houston (A) State-dependence (c) ‘G’ B B Tactic use Tactic use (a) ‘PE’ (B) Alternative strategies A C A Early environment value Genotype B (d) ‘G × E’ Trait A (b) ‘PE × E’ A Trait A C B A C C Environmental gradient Environmental gradient B (e) ‘I × E’ Trait A A C Environmental gradient Figure 4. Schematic overview illustrating sources of variation in tactic use (sampling, insurance, and/or variance-sensitivity) and the slope of a behavioural reaction norm (BRN or ‘I E’ in quantitative genetics terms, as illustrated in Fig. 1a and b). (A) State-dependence: individual variation in tactic use arises when individual-specific variation in early environmental conditions affects the phenotype (called permanent environment variance, or ‘PE’, Fig. 4a, circles represent individuals). Note that ‘PE’ does not imply that the trait becomes fixed in the early environment, but only that the early environment produces lasting effects on the trait. This leads to non-heritable individual variation in tactic use, which in turn produces non-heritable variation in the slopes of a BRN for tactic use, shown by the interaction between ‘PE’ and the environment interaction (‘PE E’, Fig. 4b, lines represent individuals exhibiting different levels of tactic use as illustrated in Fig. 4a). (B) Alternative strategies: Individual variation in tactic use arises from allelic variation in genes affecting the expression of tactic (genetic variance, ‘G’, Fig. 4c, circles represent individuals). This induces heritable variation in the slopes of a BRN for ‘trait A’, shown by the interaction between the genetic variance and the average environment (‘G E’, Fig. 4d, lines represent individuals exhibiting different values of tactic use as illustrated in Fig. 4c). Note that ‘I E’ is a product of both ‘PE E’ and ‘G E’. (2009) and Fawcett et al. (in press), we argue that explicit consideration of the decision rules underlying this behavioural variation is warranted, because it may provide crucial insights into the genetic underpinnings of individual variation in behavioural plasticity (Fig. 4). For example, populations may be monomorphic for state-dependent decision-rules that shape the use of these alternative tactics. Individual variation in expressed tactic use may then arise due to between-individual differences in state (Houston and McNamara 1999), leading to ‘permanent environment’ (PE) effects in quantitative genetics terms (Nussey et al. 2007, Dingemanse et al. 2010), and these differences in tactic use may subsequently be enforced via positive-feedbacks. Under this scenario, personality-related differences in plasticity would not reflect genetic variation in the propensity for plasticity (Dingemanse et al. 2012). For example, having greater energy reserves may free up individuals to investmore heavily in sampling (Dall and Johnstone 2002). If better information about the state of relevant environmental parameters influences foraging success, then individuals that sample more may be better able to acquire and/or maintain energy reserves. Being averse to variance implies that the cost of uncertainty outweighs the potential benefits (Fig. 2). This suggests that individuals that are averse to variance may both invest more in sampling and in insurance in order to mitigate the potential costs of uncertainty. Possessing greater energy reserves in turn tends to favour variance-averse behaviour (Stephens and Krebs 1986). Positive feedbacks between alternative tactics for managing uncertainty imply that even small chance variation between 9 individuals in state can lead to significant and lasting differences in behaviour. The importance of positive feedbacks has previously been suggested as a potent explanation for consistent individual variation in personality (Dall et al. 2004, Luttbeg and Sih 2010) and plasticity (Wolf et al. 2008, 2011, Wolf and Weissing 2010). Alternatively, individual variation in sampling behaviour, insurance and/or variance-sensitivity may arise if alternative strategies that shape the use of these tactics co-exist within populations. Alternative strategies can be maintained within populations as a mixed evolutionarily stable strategy because they perform equally well on average. In this case, personality-related differences in plasticity would reflect underlying genetic variation, and would consequently suggest that personality-related differences in behavioural plasticity have the potential to evolve. The co-existence of alternative strategies is already well documented in a range of contexts (Brockmann 2001). Additionally, alternative strategies may be maintained in populations via fluctuating selection. Any adaptive advantage provided by sampling, variance-sensitivity or insurance depends crucially upon the temporal and spatial distribution of environmental uncertainty. Since different times and places may experience different means and variances in conditions by chance, we would expect selection pressures on strategies that determine sampling, insurance, and variance-sensitive behaviour to fluctuate. Importantly, even if different strategies are favoured by different combinations of environmental conditions, fluctuating selection could contribute to the maintenance of alternative strategies within the same population so that at any point in time in a given population, individuals are present that differ in the extent of their sampling, insurance and/or variance-sensitivity. The majority of models for adaptive personality differences explore how differences in state can give rise to consistent individual differences in behaviour or suites of behaviours (Dingemanse and Wolf 2010). More recent work shows that frequency-dependent payoffs can give rise to genetic polymorphisms that may also lead to consistent individual differences in behaviour (Wolf et al. 2011). Our suggestion that between-individual differences in the types of tactics used to manage uncertainty may reflect adaptive state-dependent behaviour and/or genetic polymorphisms do not differ from current models for adaptive personality differences in this regard. However, individual differences in response to uncertainty may provide a more parsimonious explanation for behavioural variation, as they can account for consistent individual variation in both behaviour (personality) and behavioural plasticity. The problem of uncertainty has broad applicability Although many of the examples of individual variation in sampling, insurance and variance-sensitivity cited here are from a foraging context, the suggested mechanisms underpinning links between personality and plasticity are not restricted to the realm of foraging behaviour. Individuals sample the environment to assess predation danger, and sample potential breeding sites and/or mates. Individuals can also insure against the cost of potential encounters with 10 predators by investing in defensive morphologies (Dall 2010). Females can insure against uncertainty regarding the fertility or genetic quality of their social mate by engaging in extra-pair matings (Kempenaers and Dhondt 1993). Variance-sensitivity is also not restricted to foraging contexts. Variance-sensitivity is expected whenever the fitness value of each additional unit of a given resource is not linear, and has been suggested to play a role in group formation decisions (Caraco et al. 1995) and mate choice (Wiegmann et al. 1999). There are some indications that consistent individual variation in sampling, insurance and variance-sensitivity are indeed present in non-foraging contexts. For example, in the great reed warbler Acrocephalus arundinaceus, females differ in the number of males visited before choosing a mate (Bensch and Hasselquist 1992). In White’s skink Egernia whitii, there is significant variation between females in the proportion of young resulting from extra-pair matings (While et al. 2009). In song sparrows Melospiza melodia variation in female extra-pair paternity rates is heritable (Reid et al. 2011), and variation in extra-pair behaviour in zebra finches is heritable in both males and females (Forstmeier et al. 2011). Although it remains to be tested explicitly, if individual differences in sampling, insurance or variance-sensitivity outside of a foraging context are repeatable, they too may reflect individual variation in strategies for managing uncertainty. Conclusions and future directions There is increasing evidence that in many systems personality and behavioural plasticity are linked (Table 1). In this article, we have argued that individual differences in response to environmental uncertainty may provide a parsimonious explanation for personality-related differences in behavioural plasticity, a point which has previously been recognized by a few behavioural ecologists (Verbeek et al. 1994, van Tienderen 1997, Dall 2010). We recognize that individual differences in response to uncertainty are not the only possible explanation for personality-related differences in behavioural plasticity. Indeed, individual variation in responses to environmental uncertainty likely cannot account for some of the examples of personalityrelated differences in plasticity listed in Table 1. For example, it is unclear how differences in sampling, insurance or variance-sensitivity could account for the finding that bold rainbow trout Onchorhyncus mykiss reduce their boldness in response to a losing experience with a conspecific, while shy rainbow trout increase their boldness (measured as latency to approach a novel object) (Frost et al. 2007). Other factors, including frequency-dependent payoffs for plasticity, have previously been shown to generate personality-related differences in plasticity in social contexts (Wolf et al. 2011), and we suggest such effects might be in operation here. Given the pervasiveness of the problem of uncertainty (Dall and Johnstone 2002), alternative strategies for managing uncertainty may provide a powerful explanation for consistent differences in behaviour and in behavioural plasticity for a wide range of behavioural traits. The importance of environmental uncertainty in generating consistent individual differences in behaviour (personality) has been suggested previously (McElreath and Strimling 2006, Chapman et al. 2010). Our thesis offers a broad adaptive explanation for both personality and personality-related differences in plasticity which can be underpinned by both state- and frequency-dependent payoffs. We have reviewed empirical studies from a range of taxa that support our assertion that individuals differ in how they invest in sampling behaviour (Krebs et al. 1978, Shettleworth et al. 1988, Morand-Ferron et al. 2011), in their tendency to be variance-prone versus variance-averse (Mathot et al. 2009, Ratikainen et al. 2010, Wright and Radford 2010), and in their relative use of insurance (Merilä et al. 2001, SchulteHostedde et al. 2005, While et al. 2009, Reid et al. 2011). Studies are now needed that explicitly test whether individuals differ consistently in their use of alternative tactics for managing uncertainty, and whether such individual differences yield the predicted relationships between alternative tactics for managing uncertainty, personality and plasticity. Acknowledgements – KJM was supported by the Max-Planck Institute for Ornithology and an Alexander von Humboldt post-doctoral fellowship. NJD and BK are supported by the Max Planck Society (MPG). 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