Anim. Behav., 1997, 53, 733–747 Assessment strategies in the contests of male crickets, Acheta domesticus (L.) MACE A. HACK Department of Biology, University of California San Diego (Received 19 December 1995; initial acceptance 9 February 1996; final acceptance 25 May 1996; MS. number: 5115) Abstract. Game theoretical models predict that the assessment of relative fighting ability and motivation is a process fundamental to resolving most contests. Demonstrations of assessment must (1) identify characters associated with fighting success and (2) establish a correlation between opponent asymmetry in these characters and the costs of fighting. Pair-wise contests between male house crickets revealed that winners were generally heavier than their opponents, although this effect varied with the degree of asymmetry in mass and the presence or absence of burrows. Prior burrow residency and initiating a fighting bout provided additional, but small advantages in fighting success. Fight winners performed a larger repertoire of agonistic tactics, more total acts, and escalated more frequently to energetically costly tactics than did their opponents. As a result, the winner’s total energy expenditure usually exceeded the loser’s. In accordance with the core prediction of assessment models, the cumulative energetic costs of combat for both opponents increased with decreases in asymmetry of mass and energy expenditure rate. These results suggest that house crickets resolve contests by assessing asymmetries in both body size and their relative use of costly tactics. The relative energetic costs incurred by combatants may reliably signal relative energy reserves and contribute to the active assessment of fighting ability, rather than simply ? 1997 The Association for the Study of Animal Behaviour accrue as a by-product of combat. The outcome of contests over mates and other critical resources can substantially affect a male’s reproductive success (reviewed by Huntingford & Turner 1987). However, costs associated with fighting favour the assessment of resource value and relative fighting ability over indiscriminately attacking all opponents (Parker 1974; Maynard Smith & Parker 1976; Hammerstein & Parker 1982). Despite a strong theoretical and empirical basis for the general role of assessment in settling conflict (Maynard Smith 1982), how individuals acquire and use information during contests remains unresolved (Grafen & Johnstone 1993). A better understanding of the assessment process may provide new insights to traditional concerns in the study of agonistic behaviour, such as the function of large agonistic repertoires (Andersson 1980) and the rules governing the sequence of behaviours during combat (Caryl 1979). Several models have investigated the assessment process by allowing combatants to acquire Correspondence and present address: M. A. Hack, Department of Ecology and Evolutionary Biology, Princeton University, Princeton, New Jersey 085441003, U.S.A. (email: [email protected]). 0003–3472/97/040733+15 $25.00/0/ar960310 information repeatedly as a contest proceeds (Parker & Rubenstein 1981; Enquist & Leimar 1983, 1987; Leimar & Enquist 1984). In the most developed example of these ‘sequential assessment’ games, combatants choose which of several agonistic tactics to use per assessment round (Enquist et al. 1990). It is assumed that tactics differ in the type or quantity of information they provide assessors and the costs they impose. A contest then consists of a series of assessment rounds that ends when one combatant has sufficient certainty about its lesser fighting ability that further costly assessment is not justified. In contrast to earlier contest models (e.g. Hammerstein & Parker 1982), this model predicts that assessment is costly, and that the sequence of tactics will determine the total costs and information accrued (Enquist et al. 1990). To test these ideas one needs to examine contest costs in a currency likely to vary between tactics, such as energy expenditure or injury risk. To understand the assessment process one also needs to know what information combatants need to acquire, or which factors affect their fighting success. These factors usually pertain to either an ? 1997 The Association for the Study of Animal Behaviour 733 734 Animal Behaviour, 53, 4 individual’s motivation or its ‘resource-holding potential’ (RHP sensu Maynard Smith & Parker 1976, or intrinsic and extrinsic components of fighting ability combined). Intrinsic fighting ability often derives from body size (reviewed by Huntingford & Turner 1987), yet other factors can be important, such as endurance (CluttonBrock & Albon 1979; Marden & Waage 1990), speed (Garland et al. 1990) and aggressiveness (Barlow et al. 1986). Recent fighting success or failure can further affect intrinsic fighting ability through apparently psychophysiological mechanisms (review by Chase et al. 1994). Extrinsic aspects of fighting ability, such as prior ownership of a resource, provide a strategic advantage in some contests (Parker et al. 1974). Finally, motivation, or a resource’s value to a combatant, often affects its fighting success (review by Enquist & Leimar 1987). The large agonistic repertoires of many species, containing tactics in several sensory modalities, suggest a capacity in these species to assess multiple RHP components, and possibly relative motivation (Enquist 1985). Field crickets (Orthoptera: Gryllidae) represent excellent models for the study of contest behaviour. Frequent competition between males for burrows, mates and other resources (Loher & Dambach 1989) has presumably driven the evolution of a large repertoire of agonistic tactics (Alexander 1961). However, whether male crickets employ assessment strategies to resolve contests remains untested. Field and laboratory studies have identified some components of male RHP in the gryllids, including body size (Dixon & Cade 1986; Simmons 1986; Souroukis & Cade 1993; but see Burk 1983), sexual maturity (Dixon & Cade 1986), burrow residency (Burk 1983; Simmons 1986) and recent fighting history (Alexander 1961; Burk 1983; Simmons 1986; Adamo & Hoy 1995). Temporally variable characters, such as physical condition, may also determine fighting ability since dominance relationships tend to fluctuate over several days (Alexander 1961; Dixon & Cade 1986). In this study I first sought to identify possible components of RHP by comparing the morphology and behaviour of contest winners and losers. I also monitored individual fighting success in successive contests with the same opponent in order to gauge temporal consistency in RHP. I then asked which components of RHP males actually assess during contests by examining the costs of fighting as opponent asymmetry in these components varies. In contrast to most prior tests for assessment, I quantified contest cost as energy expenditure, since this is a more accurate measure than duration when the rate of cost accrual depends on the type of tactic employed. Injuries rarely occur in house cricket contests, yet opponents often pause for several minutes after escalated combat and pump their abdomens as if recovering from exhaustion. These observations suggest that energy expenditure is a meaningful currency for measuring the costs of fighting in A. domesticus (see also Hack, in press). METHODS General Experimental Conditions I used male house crickets from laboratory stocks maintained at 23–26)C on a 12.5:11.5 h light:dark schedule. All crickets were provided with food (2:1 mixture of dry cat and rabbit pellets) and water ad libitum. Prior to reaching sexual maturity, both sexes lived together in 38-litre pails at densities of 50–100 individuals. To preserve males in good physical condition, I removed them several days prior to, or within 24 h following, their imaginal moult, and housed them singly in 0.5-litre containers. This study entailed staging pair-wise matches between males differing in qualities hypothesized to affect fighting success. Variance between males in their valuation of a contested resource was purposely minimized to exclude motivation as a determinant of fighting success. In total, I observed the fighting behaviour of 111 unique pairs (N=156 males) according to three experimental designs (Table I). Each match occurred in one of two arena types: (1) a 5-litre plastic box (AsymNR), or (2) a 28-litre glass tank (SymNR and AsymR). The walls of each arena were covered to prevent disturbance from observer movement, and the floor of each arena was spread with sand to simulate a natural substrate. Males had access to food and water prior to entering the arena, but neither was provided in the arena. In all matches, I placed both males into the arena simultaneously and gave them several minutes to settle before beginning observation. Males then interacted freely for 15 or 30 min, depending on the experiment (AsymNR, SymNR: 30 min, AsymR: 15 min). Each match typically contained Hack: Assessment in cricket contests 735 Table I. Summary of experimental conditions Character (X&) and asymmetry range Experiment No. of pairs AsymR AsymNR SymNR 43 38 10+20 Mass (mg) 376.5&61.5 284.7&39.9 303.6&41.6 Adult age (days) 0–0.54 0–0.47 0–0.08 27.6&17.1 11.7& 3.9 16.7& 4.6 0–1.56 0–0.46 0–0.08 Resource Burrows None None AsymR=males asymmetric in mass and age/contested resource present; AsymNR=males asymmetric in mass and age/no contested resource present; SymNR=males symmetric in mass and age/no contested resource present. For SymNR matches, opponents in the initial 10 pairs were re-paired with new opponents to test for the effects of prior fighting experience on fighting success. multiple bouts of fighting; by definition, each bout began with physical contact between opponents and ended with the clear retreat of one opponent by at least two body lengths. Draws, or ambiguous outcomes to fighting bouts, rarely occurred (less than 6% of all bouts for each experiment). I quantified fighting success in two ways, depending on the analysis: (1) the winner of each bout, or (2) the winner of a majority of bouts per match (‘overall winner’). In nearly all cases, an individual of superior fighting ability clearly emerged within the duration of observation (see Results). Methodological details for tests of specific opponent asymmetries potentially determining fighting success are given below. Asymmetry for continuously distributed characters was calculated as the relative difference between opponents (intra-pair difference/mean value for pair), and thus scaled for differences between pairs in mean character size. Tests of Specific Asymmetries Body mass and age Two experiments, asymmetry/no resource (AsymNR) and asymmetry/resource (AsymR), tested the influence of mass and age asymmetries on relative fighting success (Table I). Body mass in A. domesticus is strongly correlated with other measures of size, including head width (r=0.800, N=114, P<0.001), pronotum width (r=0.725, N=24, P<0.001) and hindleg femur length (r=0.719, N=114, P<0.001). Mass seemed to be the most relevant measure of size since highly escalated fights are won by the individual best able to lift and throw its opponent. I quantified mass to &1 mg prior to each match, and used days since final eclosion as a measure of adult age. Males were always at least 5 days past eclosion to eliminate sexual immaturity as a factor affecting fighting success (Dixon & Cade 1986). I paired males to produce a range of asymmetry in mass and age (Table I). No male fought in more than one match during the AsymNR experiment, but 20 of 56 males in the AsymR experiment fought in two matches. These males were always paired with new opponents and given at least 6 days between successive matches. Agonistic behaviour Consistent behavioural differences between bout winners and losers potentially reflect asymmetries in RHP characters, such as endurance or aggressiveness. I recorded with a Canon VC-30 colour video-camera the agonistic behaviour of opponents (see Table II for repertoire) during a randomly chosen subset of the AsymR (N=20 of 43) matches and the first 10 SymNR matches (excluding subsequent matches involving the same individuals, see below). I then quantified to a resolution of 0.1 s each individual’s sequence of acts per fighting bout. With repeated bouts fought between the same opponents, it is possible that observed behavioural differences between opponents result from differences in fighting success (i.e. dominance) rather than cause them (Francis 1988). Consideration of only the first two bouts of each match minimized the influence of dominance, or recent success, on fighting behaviour. I did not use first bouts alone in this analysis because (1) several pairs had only a brief first encounter that was then followed by a longer, truly agonistic interaction, and (2) the overall match winner won the first Animal Behaviour, 53, 4 736 Table II. Mass-specific energetic costs for the agonistic tactics of A. domesticus Mean O2 consumption& (ìl/g) Low injury risk (no physical contact) Stridulate (SD) Mandible flare (MF) Shake (SK) 0.02&0.009 0.08&0.03 0.49&0.08 Moderate injury risk (light, intermittent physical contact) Head butt (HB) 0.37&0.03 (estimated) Fore punch (FP) 0.37&0.03 (estimated) Mandible spar (MS) 0.45 Antennae lash (AL) 0.68&0.14 Stridulation lash (SL) 0.70 High injury risk (strong, sustained physical contact) Kick (KC) 0.37&0.03 (estimated) Head charge (HC) 0.61&0.04 Mandible lunge (ML) 0.61&0.04 Wrestle (WR) 0.83&0.15 Initiation/Retreat (per step) 0.37&0.03 Energy expenditures are per s for behavioural states (MF, MS, WR) or per repetition for discrete behaviours (all others). All values are net, representing the amount of oxygen consumed above that required at rest for metabolic maintenance (Hack, in press). For MS and SL, standard errors are not available since energy expenditures were derived from measurements of the tactic’s constituent movements. bout in 80.0% of matches, but won the second bout in 93.3% of matches, indicating the importance of the second bout to some opponents in their assessment of the best fighter. The cumulative duration of both bouts constituted on average the first 37.9 s of combat (=32.5, range=2–153), and one of the two was usually the longest and most costly of the match (25 of 30 matches). To exclude from analysis behavioural differences between opponents that resulted from differences in fighting success, I considered only those acts that occurred prior to the retreat of one combatant. I used cumulative measures across both bouts per match in the statistical analysis of behavioural differences to avoid pseudoreplication. I measured the following behavioural characters, averaged across the first two bouts of each match, for both the overall match winner and loser: (1) number of distinct tactics performed, (2) maximal rate of energy expenditure as determined by the most energetically costly tactic performed (Table II), (3) total number of repetitions of each tactic performed, and the total frequencies of (4) tactical transitions, (5) escalations and (6) de-escalations. A tactical transition occurred when an individual performed a tactic differing from the last tactic used by either opponent, that is, an individual had a low frequency of tactical transitions if it responded in kind, or not at all, to its opponent’s behaviour rather than initiate the use of a new tactic. Neither bout initiation nor retreat constituted a tactical transition in the analysis. Some tactical transitions led to changes in the rate of cost accrual; escalations and de-escalations represent tactical transitions to behaviours of higher and lower energetic cost, respectively. For three tactics, head butt, fore punch and kick, energetic costs could not be measured. A conservative estimated cost, equivalent to that for a single step (Table II), was instead used for each of these tactics in the determination of escalations and de-escalations. The relative energetic costs of tactics (Table II) are taken from a prior study in which I used flow-through respirometry to measure the net oxygen consumed per repetition of each agonistic tactic (Hack, in press). I used these per tactic costs in combination with the quantified frequencies of each tactic, to calculate the cumulative oxygen consumption during combat for each opponent. The three tactics whose costs I could not measure (see above) were excluded from the calculation of cumulative cost. The remaining tactics used in the calculations accounted for approximately 90% of the actual oxygen consumption of both opponents (Hack, in press). Calculated oxygen consumptions represent mass-specific, net (consumed in excess of the minimum required for metabolic maintenance) values at STPD (0)C, 760 torr, dry conditions). Burrow residency and bout initiation Asymmetry between opponents in two characters, burrow residency and bout initiation, varied from bout to bout during a single match, and possibly represented extrinsic components of RHP. To examine the effect of residency on fighting success, the arena for all AsymR matches contained two identical burrows made from semi-tubular pieces of cardboard and placed at Hack: Assessment in cricket contests opposite ends of the tank. Male A. domesticus readily defend burrows of this type and use them as calling sites. Since, in general, successful fighters are also likely to become burrow residents, the provision of two burrows ensured that the less successful male was observed as a burrow resident in some bouts. This allowed me to test residency independently of other RHP components. To test the effect of bout initiation on fighting success, I surveyed bouts in all three experiments and noted which opponent initiated contact to begin a fighting bout. 737 Table III. The relationship between fighting success and relative body size for matches with and without contested burrows (AsymR and AsymNR experiments, respectively) No. of matches won by Asymmetry Heavier male (%) Lighter male G AsymR <0.10 >0.10 8 (47.0) 20 (80.0) 9 5 0.06 9.64** AsymNR <0.10 >0.10 7 (41.2) 14 (66.7) 10 7 0.53 2.38 Consistency of Relative Fighting Success I assessed the temporal stability of relative fighting success over two intervals. Continuous observation of pairs over 15–30 min provided a short-term assay of consistency in fighting success. Additionally, in the AsymNR experiment, I examined how frequently the previous overall winner was also the overall winner in a subsequent match with the same opponent after 24 or 96 h of isolation (N=19 pairs for each treatment). A further experiment (SymNR) tested whether a male’s relative fighting success remained consistent against a novel opponent. Pairs of males, matched in body mass and adult age (less than 0.08 relative difference, Table I), interacted for 30 min in an arena without burrows and established a clear difference in relative fighting success. I then paired each of these males with new opponents (also mass and age matched, but without prior fighting experience for several days) and allowed them to interact for a further 30 min. Prior winners and losers alternated in fighting either immediately or 30 min after their first match. I conducted 10 complete sets of matches (30 matches total) with 24 males. Fifteen males participated in more than one match set, but each was always paired with a new opponent and isolated for several days between matches. DETERMINANTS OF FIGHTING SUCCESS Results Body mass and age Heavier male house crickets generally defeated their opponents (61.3% of 80 AsymR and AsymNR matches combined, one AsymR match excluded for lack of asymmetry in mass, log- G=log-likelihood ratio test: **P<0.01. likelihood ratio G1 =4.08, P<0.05). However, the correlation between relative body mass and fighting success varied according to the degree of asymmetry in mass between opponents and the presence (AsymR) or absence (AsymNR) of contested burrows. In both experimental contexts, the fighting success advantage of heavier opponents was observed only for asymmetries in mass greater than 0.10 (Table III). Heavier opponents actually suffered a slight disadvantage in fighting success at levels of asymmetry less than 0.10. For both levels of asymmetry, the heavier opponent’s advantage in fighting success tended to be larger in matches fought over burrows than in matches with no burrows present (Table III). If relative mass affects a male’s ability to overpower and throw its opponent, we might expect matches that escalate to wrestling to be won each time by the heavier opponent. This was not observed. Indeed, relative body size tended to be a better predictor of the winner in matches that never escalated to wrestling than in those that did (77.8% of 27 matches without versus 50.0% of 22 matches with wrestling, Fisher’s exact P=0.07, three matches and all AsymNR matches excluded owing to lack of act sequence data, one match excluded for lack of asymmetry in mass). A total of 35 matches, pooled across both AsymNR and AsymR experiments, involved an asymmetry in age between opponents. Younger opponents won 45.7% of these matches (G1 =0.26, P>0.75). However, concurrent asymmetry in mass between opponents potentially confounds detecting a strong effect of relative age on fighting ability. Restricting the analysis to only those Animal Behaviour, 53, 4 738 Table IV. Summary of behavioural differences between the overall match winner and loser observed during the initial fighting bouts of each match Mean Behavioural character No. of tactics Maximum rate of energy expenditure (ìl O2/g) Total acts Tactical transitions Escalations De-escalations Winner Loser 4.1 3.1 0.526 67.3 12.2 6.1 6.2 0.419 59.2 10.0 4.0 5.3 Mean difference & Paired t29 &0.2 4.86**** 1.0 0.107&0.03 8.1 &3.5 2.2 &1.6 2.1 &0.6 0.9 &0.9 4.00*** 2.29* 1.42 3.78*** 1.6 Data from asymmetry/resource (N=20) and symmetry/no resource (N=10) matches were pooled after repeated measures ANOVAs revealed no direct effects of experiment nor experiment * overall status interactions for any behavioural character comparisons. Data were ln-transformed for the ANOVA when required to reduce heteroscedasticity among factor cells. *P<0.05; **P<0.01; ***P<0.001; ****P<0.0001. matches involving an asymmetry in mass less than 0.10 revealed that younger opponents won 68.8% of 16 matches, although this trend was not statisically significant (G1 =2.31, P<0.15). Behavioural correlates of fighting success In the initial stage of each match (first two bouts), the overall match winner performed an average of one more tactic per bout and nearly 14% more agonistic acts than the overall match loser (Table IV). In addition, overall winners escalated, or switched to more energetically costly tactics, at a greater frequency than overall losers (Table IV). As a consequence, overall winners often reached a higher maximal rate of energy expenditure (Table IV). Frequencies for all tactical transitions and those constituting deescalations to energetically less costly tactics did not differ significantly between overall winners and losers (Table IV). Experimental context (AsymR and SymNR) did not affect these differences between opponents (Table IV). Consistent behavioural differences between overall winners and losers early in the match ultimately resulted in greater oxygen consumptions, or energy expenditures, by winners in both experiments (Table V). Pooling across experiments, winners expended on average 2.3 ìl O2/g more than losers in the first two bouts of combat (range= "7.3–17.2), a more than 12% increase over the mean net oxygen consumption of match losers. This difference between opponents tended Table V. Calculated total net oxygen consumptions (ìl/g) of overall winners and losers over the initial two bouts of each match, for both asymmetry/resource (AsymR) and symmetry/no resource (SymNR) matches Mean& Maximum AsymR (N=20) Winner Loser 25.806&5.426 22.369&5.109 70.780 67.230 SymNR (N=10) Winner Loser 10.936&4.426 10.848&5.363 44.010 36.680 Repeated measures ANOVA: overall status F1,28 =7.31, P=0.01; experiment F1,28 =2.58, P>0.10; experiment * overall status F1,28 =3.38, P=0.07. to be even larger in matches involving burrow competition (Table V). Asymmetries in energy expenditure and mass were not correlated (r=0.03, N=30, P=0.9), suggesting the independent influence of each on fight outcome. The heavier combatant or the one expending greater energy was the overall winner in 21 and 22 of 30 matches, respectively; in only three matches did neither win the match. In the most escalated bouts, or those with wrestling, fight outcome tended to be more closely associated with relative energy expenditure than with relative mass (energy: 66.7% of 18 matches; mass: 50.0% of 22 matches). Bout initiation In all three experiments, initiators were more Hack: Assessment in cricket contests 85*** 1.0 Proportion of bouts won by the initiator Not escalated Escalated 0.9 0.8 20** 29** 452*** 0.7 110* 0.6 739 an identical change in its opponent, only one combatant’s fighting success can be considered an independent datum; overall match losers were arbitrarily chosen to represent each opponent pair in the analysis. On average, initiation increased the percentage of bouts individuals won by 15% and 35% in AsymR and AsymNR matches, respectively (Wilcoxon signed-ranks test on the percentage of bouts won as an initiator versus as a responder, AsymR: T=3, N=7 comparisons with sufficient data, P<0.07; AsymNR: T=26.5, N=31, P<0.001; SymNR: insufficient data to test). 123 0.5 (P = 0.01) AsymR (P < 0.0001) AsymNR (P = 0.12) SymNR Experiment Figure 1. The proportion of fighting bouts won by initiators within each experiment: AsymR=males asymmetric in mass and age/contested resource present; AsymNR=males asymmetric in mass and age/no contested resource present; SymNR=males symmetric in mass and age/no contested resource present. The number of bouts within each analysis category is given above each column along with the statistical significance of the initiator’s advantage (log-likelihood ratio test: *P<0.05, **P<0.01, ***P<0.001). The probability values beneath paired analysis categories are from Fisher’s exact tests of the decrease in initiator advantage with escalation. Note that the proportion won axis begins at 0.5, or the expected value if initiation has no effect on fighting success. likely to win a fighting bout than responders, particularly if the bout did not escalate beyond the antennal contact defining the start of each bout (Fig. 1). Excluding non-escalated bouts from the analysis eliminated the initiator’s advantage in AsymR bouts and reduced it substantially in AsymNR and SymNR bouts (Fig. 1). In a large percentage of bouts won by the initiator, the initiator had also won the preceding bout (AsymR: 84.3%, AsymNR: 66.2%, SymNR: 93.2%). Thus, much of the initiator’s apparent advantage can be attributed to factors determining its prior fighting success. To control for other intrinsic determinants of success and test for an advantage specific to initiation I compared the fighting success of combatants as initiators with their success as responders. Since the proportion of fights won by each combatant in a pair must sum to 1.00, and change in one’s success as a result of initiation mirrors Burrow residency Of the 374 bouts observed in AsymR matches, 48.1% occurred within, on top of, or less than one body length from a burrow and directly determined which individual resided in it. The current occupant of the burrow when the fight began won 87.8% of these bouts (G1 =115.85, P<0.0001), suggesting a strong advantage of residency to fighting success. However, to examine the effect of residency independently of other fighting success determinants I asked whether an individual’s success as a burrow resident differed relative to its success in bouts fought during the same match in the open arena, away from a burrow. Residency generally increased individual fighting success, relative to that in the open arena, by 13–14% (Wilcoxon signed-ranks test on the percentage of bouts won in each context: T=14, N=17 comparisons with sufficient data, P<0.01). Consistency of individual fighting success The overall winner in AsymR and SymNR matches generally won every bout fought or lost only single, isolated bouts (mean % bouts won/match&: AsymR=88.3&2.2%, N=43; SymNR=91.3&3.8%, N=10). AsymNR match winners were more likely to lose several consecutive bouts, although they still won 73.2% of bouts per match on average (=2.5%, N=38). Thus, experimental context caused the overall winner’s consistency of fighting success to vary (ANOVA on arcsine square-root transformed % bouts won/ match: F2,88 =12.77, P<0.0001). Neither asymmetry in mass nor behavioural asymmetry between opponents correlated with the percentage of bouts won by the overall winner, in any context. Fighting success over consecutive matches with 740 Animal Behaviour, 53, 4 the same opponent, either 24 or 96 h apart, also remained consistent for most pairs (AsymNR). For 78.4% of 37 pairs, the same individual won a majority of bouts in consecutive matches (G1 =12.66, P<0.001, one pair did not survive the between-match interval). Asymmetry in mass between opponents did not affect the probability of the same individual winning both matches, nor did the duration of the between-match interval. However, overall winners that won only a small majority of bouts in their first match were more likely to lose the subsequent match than winners that won a large majority of bouts in their first match (median % bouts won=58.2% and 80.0% for reversal and no reversal in relative success, respectively; Mann–Whitney U=178.5, N1 =8, N2 =29, P=0.02). Thus, uncertainty in a pair’s dominance relationship within a match was also reflected in uncertainty of dominance across consecutive matches. A male’s fighting success against a novel opponent of similar mass and age, encountered within 1 or 30 min of a prior match, varied depending on its previous fighting success. In all 10 SymNR matches, the overall loser from the initial match also lost the subsequent match. In contrast, the overall winner of the initial match won only four of 10 matches against a new opponent. Recently winning and losing a series of fighting bouts had clearly different effects on subsequent fighting success (Fisher’s exact P=0.04). Overall winners tended to lose against a new opponent if they fought immediately after the initial match (80%), whereas they lost less often if given a 30-min interval between matches (40%). Discussion of Fighting Success The resource-holding potential of male house crickets in this study derived from both intrinsic male attributes and extrinsic, contextual factors. Relative mass, or body size, generally correlated with fighting success, suggesting its primary contribution to fighting ability. This is not a surprising result given the importance of size to fighting ability in other species (e.g. Sigurjónsdóttir & Parker 1981; Leimar et al. 1991), including crickets (Dixon & Cade 1986; Simmons 1986; Souroukis & Cade 1993). More interesting are my observations that relative size was not the only intrinsic determinant of male fighting success, nor was it a consistently strong determinant in all experimental contexts. Clearly dominant individuals emerged in matches with no or small asymmetry in mass (<0.10), indicating a substantial difference between opponents in an alternative component of RHP. The relative contribution of body size to fighting ability also varied with the presence and absence of burrows (see also Simmons 1986), suggesting the greater influence of alternative RHP components in some contexts (e.g. Barlow et al. 1986). Relative size may be the primary determinant of success when attacking or defending the confined space of a burrow, but not when fighting an opponent in an open area where all sides are vulnerable to attack. Consistent behavioural differences between winners and losers reflect the influence of a second determinant of success in house cricket contests. This determinant probably constitutes an intrinsic component of RHP since differences between combatants in motivation, or resource value, were controlled for in the experimental design. The greater energy expenditures by winners, resulting from their more frequent use of costly tactics, suggest that winners may have had larger energy reserves (e.g. Marden & Waage 1990; Marden & Rollins 1994) or a better ability to recover expended energy (e.g. Vehrencamp et al. 1989). This inference relies on the accuracy with which calculated total energy expenditures, based on measured costs per tactic and tactic frequencies, represent the true energy expenditures of combatants. Although variance in male energy expenditure within a tactic is generally smaller than variance in expenditure across tactics (Hack, in press), it is possible that losers consistently expended more energy per repetition of each tactic than winners. This may have resulted in equivalent energy expenditures by winners and losers. However, winners still outperformed losers for this expenditure, and appeared to win fights as a result. Measurements of energy reserves before and after fighting are required to test these hypotheses. The more escalated behaviour of bout winners may alternatively reflect a difference between opponents in aggressiveness or tendency to attack (e.g. Barlow et al. 1986). A combatant that escalates to tactics entailing increasingly hard physical contact may be demonstrating a greater ability to inflict injury on its opponent. However, the rarity of serious injury in even the most escalated house cricket contests argues against this hypothesis. Despite the care taken to exclude from analysis Hack: Assessment in cricket contests any acts made by the winner as its opponent retreated, behavioural asymmetry between opponents may still have resulted from, rather than caused, differences in fighting success. After repeated assessments of an opponent’s RHP, the eventual bout winner may realize its advantage and alter its strategy from assessment to forcing its opponent into retreat. In doing so, it may shorten the contest and reduce its time costs from fighting, or it may gain a benefit in subsequent competition with the same opponent (i.e. punishment: Clutton-Brock & Parker 1995). Statusdependent differences in the frequencies of some tactics during combat clearly occur in this species (Hack 1994) and other crickets (Adamo & Hoy 1995) once a dominance relationship is formed. However, most of these tactics do not entail physical contact (e.g. stridulate, shake) and are therefore unlikely to force an opponent’s retreat through injury. Preliminary analysis of the initial bouts’ act sequences in this study indicates that stridulation, shaking and antennae lashing accounted for most of the asymmetry in behaviour between winners and losers, but more extensive analysis is needed to investigate the coercion and punishment hypotheses further. Even if either were true, differences between combatants in agonistic behaviour would still reflect asymmetry in an intrinsic component of RHP unrelated to body size. Whether male crickets actually assess asymmetries in tactical behaviour will be addressed in the next section. The consistency of relative fighting success over intervals of several days implies that fighting success primarily derived from intrinsic, temporally stable characters. However, two extrinsic factors, burrow residency and bout initiation, affected the outcome of individual fighting bouts and represent secondary, contextual components of RHP. The greater fighting success of residents presumably derived from a strategic or positional advantage in fighting ability (e.g. Parker et al. 1974), rather than an asymmetry in resource value, since a male’s fighting success improved within seconds of its occupying a burrow. The small inherent advantage in fighting success gained by initiators may have resulted from a small benefit for winning relative to a large cost for engaging an opponent in combat. In this case, initiation could be an arbitrary asymmetry for contest settlement (Hammerstein 1981). Alternatively, initiation may correlate weakly with fight- 741 ing ability or motivation, but the costs of testing its reliability as a signal of these qualities is not always justified by the expected benefit (Dawkins & Guilford 1991). For example, immediately after losing an escalated fight, an individual may retreat more readily from an opponent that initiates combat since the opponent is likely to be the recent victor with an already known, relatively superior RHP. Recent fighting experience constitutes an additional component of RHP for house crickets. Recent losers appeared less likely than expected to defeat a new opponent of similar mass. This effect of losing presumably stemmed from a psychophysiological mechanism since losers were not visibly injured or incapacitated by the prior combat. Similarly, four of 10 initial matches escalated to wrestling, implying that losers were not generally in poor condition or unable to fight at the beginning of the experiment. Decreased fighting ability as a result of prior losses probably accounts for the large majority of bouts, irrespective of mass or energy expenditure asymmetries, won by the overall match winner. Thus, experience effects may reinforce and stabilize dominance relationships in house crickets and other species (Landau 1951). One implication of an experiential component of RHP is that the initial winner of a series of interactions will continue to dominate its opponent, even if it has the lower intrinsic fighting ability and simply won the initial bout by luck. However, the non-arbitrary outcome of most matches in this study argues against this and suggests that initial bouts were settled through the accurate assessment of other RHP components, such as relative body size or endurance. ASSESSMENT STRATEGIES The core prediction of models that allow repeated assessment is that decreased asymmetry between opponents in RHP, assuming equal motivation to win, results in more costly contests (Parker & Rubenstein 1981; Enquist & Leimar 1983). This is because closely matched opponents require more information about relative RHP to distinguish their asymmetry accurately. Thus, tests for assessment must focus on changes in the costs of fighting as opponent asymmetry in RHP varies (e.g. Sigurjónsdóttir & Parker 1981; Leimar et al. 1991). Cumulative energetic cost of combat per match (µl oxygen/g) 180 160 140 120 100 80 60 40 20 0 –0.1 0.0 0.1 0.2 0.3 Mass asymmetry 0.4 0.5 Figure 2. The cumulative net oxygen consumed during combat by both opponents per match as a function of the asymmetry between them in body mass (winner’s" loser’s mass/mean mass). Data are from asymmetry/ resource matches (N=18). Two matches with strongly negative asymmetry values (< "0.10, i.e. the lighter opponent wins) were excluded from the analysis since asymmetries other than mass probably determined fighting success in these cases. Small negative asymmetries (> "0.10) have been included in the analysis since relative mass did not correlate with success in the range "0.10 to 0.10. Asymmetries in this range would presumably require similar costs to assess regardless of which opponent won. Regression equation: Y= "168.2 X+78.7. Results To test for the use of assessment strategies by male A. domesticus, I first calculated a pair’s cumulative net oxygen consumption, or combined energy expenditure per match (see Methods). Total energy expenditure is likely to reflect accurately the fitness costs of fighting since it integrates three important cost currencies: energy, time and injury risk (i.e. force of movement, Table II). I then regressed cumulative oxgyen consumption against (1) relative mass difference, and (2) relative difference in initial oxygen consumption (first two bouts of each match). Asymmetry in oxygen consumption simultaneously accounted for all the observed differences between opponents in tactic use (see Table IV). In AsymR matches, cumulative net oxygen consumption during combat decreased significantly with increasing asymmetry in mass (Fig. 2: r2 =0.27, F1,16 =5.85, P=0.03). Similarly, increasing asymmetry in opponents’ oxygen consumptions during the first two bouts of each match was associated with a decrease in the cumulative Cumulative energetic cost of combat per match (µl oxygen/g) Animal Behaviour, 53, 4 742 200 180 160 140 120 100 80 60 40 20 0 60 AsymR 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 SymNR 50 40 30 20 10 0 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 Asymmetry in rate of energy expenditure Figure 3. The cumulative net oxygen consumed during combat by both opponents per match as a function of the asymmetry between them in their initial rates of oxygen consumption (winner’s"loser’s rate/mean rate, first two bouts of each match only). Results are presented for both asymmetry/resource (AsymR) and symmetry/no resource (SymNR) matches. Negative asymmetry values were excluded from the analysis (N=5 and 2 for AsymR and SymNR, respectively) since alternative asymmetries presumably determined fighting success in these cases. (Inclusion of these data do not change the direction or decrease the statistical significance of the observed relationships.) For the analysis of AsymR matches, the discontinuous variation in asymmetry in energy expense and heteroscedasticity in cumulative costs precluded a linear regression analysis (see Results). Regression equation for SymNR: Y= "21.4X+41.0. energetic cost of fighting per match (Fig. 3). In other words, the more one combatant’s initial rate of energy expenditure exceeded his opponent’s, the lower was the overall energy expenditure of both combatants over a complete match. This result was obtained in both AsymR (linear regression precluded by heteroscedasticity; median O2 consumption for asymmetry <0.75 was 81.33 ìl/g versus 5.88 ìl/g for asymmetry >0.75, Mann– Whitney U=39, N1 =11, N2 =4, P<0.05) and SymNR (r2 =0.61, F1,6 =9.20, P=0.02) matches. Hack: Assessment in cricket contests Discussion of Assessment Strategies The preceding section of this paper demonstrated a correlation between fighting success and several potential components of RHP. The results presented in this section indicate that asymmetries in two of these components, mass and energy expenditure, or their close correlates, are also assessed by combatants to resolve conflict in a cost-effective manner. Moreover, the high costs of 140 (a) 120 100 Total energetic cost per bout (µl oxygen/g) Energy expenditure asymmetry was smaller in matches that escalated to wrestling, or the maximum cost level, than in matches that did not (Mann–Whitney U=180, N1 =18, N2 =12, P<0.01). In contrast, small asymmetry in mass was not more likely to lead to wrestling (U=311, N1 =23, N2 =27, P>0.75). Asymmetry in energy expenditure also varied inversely with the total duration of wrestling per match (Spearman rank correlation: rS = "0.62, N=30, P<0.001). If asymmetries in both mass and rate of energy expenditure represent independently assessed components of fighting ability, assessment should be more costly when each favours a different opponent to win. For matches involving both types of asymmetry, cumulative oxygen consumptions per match were greater when each asymmetry favoured a different opponent than when both asymmetries favoured the eventual winner (t13 =2.68, P=0.01). In an analogous conflict of asymmetries, bouts over burrows resulting in the eviction of the prior resident had a median cumulative energetic cost over 17 times greater than that for matches resulting in the prior resident’s retention of the burrow (Fig. 4a: Mann–Whitney U=48, N1 =5, N2 =11, P<0.05). This indicates that fighting has high costs when residency provides an advantage to an otherwise inferior opponent. Comparison of fighting bouts over burrows with those occurring in the open arena reveals whether opponents assessed resource value during fights. Assuming that winning control of a burrow provides a greater fitness benefit to males than defeating an opponent when no tangible resource is contested, fights over burrows should be more costly than those in the open arena. Indeed, the median cumulative energetic cost of bouts over burrows was nearly twice that of bouts in the open arena (Fig. 4b: Mann–Whitney U=3734.5, N1 =71, N2 =86, P<0.05). 743 80 60 40 20 0 35 Resident stays Resident evicted Bout outcome (b) 30 25 20 15 10 5 0 Burrow Open arena Bout location Figure 4. The energetic cost of fighting for bouts (a) that did (N=5) or did not (N=11) result in the eviction of the prior resident and (b) that determined burrow ownership (N=71) compared with bouts that occurred in the open arena (N=86). For (a) only the first two bouts of each match were included in the analysis in order to control for the effects of recent fighting experience on subsequent behaviour and fighting success. Energy costs per bout are net values of oxygen consumption summed across opponents. Horizontal lines delineate the 10th, 25th, 50th (median), 75th and 90th percentiles in each distribution. fighting when these asymmetries contradict, or favour different opponents to win, indicates that each independently influences male fighting strategy. Burrow occupation and the expected benefit of winning may also be assessed by fighting crickets and affect fighting strategy. Thus, the decision to continue fighting or retreat is based on a complex integration of several types of information, as suggested by theory (Parker 1974; Hammerstein & Parker 1982; Enquist et al. 1990). The tactics performed by crickets during combat presumably provide this information, yet how are different asymmetries assessed? 744 Animal Behaviour, 53, 4 Crickets may assess relative body size through visual, tactile or acoustic inspection of an opponent. The high correlation of body length and head size with mass, or overall size, may allow accurate visual or tactile assessment without entailing hard physical contact. Males often faced each other at close range to butt their heads together briefly and spread their mandibles, perhaps in a comparison of head size or the force behind each butt. The acoustic structure (frequency and temporal characteristics) of advertisement stridulation provides body size information in a related cricket (Simmons 1988), suggesting the possible encoding of size information in the structurally similar agonistic call of A. domesticus. Thus, several tactics may function to communicate body size differences directly. Tactics of this type, or ‘assessment signals’ (sensu Maynard Smith & Harper 1988) provide reliable information without necessarily incurring costs, since their performance simply reveals an unbluffable quality such as body size. The fact that many of these tactics do impose energetic costs on assessors indicates that even direct assessment is a costly process, and is therefore likely to involve the trade-off between accuracy and cost predicted by theory (Parker & Rubenstein 1981; Enquist & Leimar 1983). An important result of this study is that male house crickets also assess relative RHP with conventional signals (sensu Maynard Smith & Harper 1988; Guilford & Dawkins 1995), or by using tactics that are informative because of the costs they incur. Males appear to monitor which tactics an opponent uses and how frequently it uses each, which collectively determine its rate of energy expenditure. The eventual winner’s more energetically costly behaviour may reliably signal its greater capacity to incur the energetic costs of further, more escalated combat (Grafen 1990; see also General Discussion). In this study, most fights culminated in wrestling and, since wrestling is an obligately bilateral behaviour, its duration was identical for each opponent. Therefore, asymmetry in tactic use, or energy expenditure, must have developed prior to escalation to wrestling. Opponents that did not perceive sufficient asymmetry in their relative energy expenditures on tactics such as antennae lashing, shaking and stridulation lashing may have escalated to wrestling to determine the better fighter. Three results support the hypothesis that pre-wrestling behaviour reliably indicated a male’s ability to outlast its opponent in the most costly phase of combat: (1) more frequent escalation to wrestling when energy expenditure asymmetry was small; (2) a negative correlation between wrestling duration and energy expenditure asymmetry; and (3) the superior fighting success of the male with the greater energy expenditure in bouts that escalated to wrestling. The argument presented above could also be applied to the injury risk a combatant willingly assumes since house cricket tactics varied in the degree of physical contact, and possible injury risk, they entailed. An individual’s escalation to a more risky tactic may reliably signal a greater capacity to withstand its opponent’s use of the same tactic. The tactic may or may not impose a direct cost to be reliable, but it must commit the signaller to the more costly (i.e. risky) stage of combat if its opponent similarly escalates (Enquist 1985). Although differences in injury risk may account for the observed asymmetry in escalation frequency and repertoire size, they are less likely to account for asymmetry in the repetition rate of specific tactics. Also, in over 3000 fighting bouts, injuries never directly resulted from combat, and damage possibly attributable to fighting was typically minor (loss of parts of the antennae, cerci and legs). Nevertheless, relative injury risk may account for differences in the use of some tactics, particularly those involving different degrees of physical contact but incurring similar energetic costs. The general correlation across tactics between the degree of physical contact entailed and energy expenditure (Table II) suggests that, even if injury risk varies significantly between A. domesticus tactics, conclusions drawn from broad patterns of energy expenditure will apply regardless of which cost currency is the most relevant. GENERAL DISCUSSION In this study I have tried to evaluate strategic behaviour in contests by taking into account the economics of alternative agonistic tactics. This approach, advocated by recent theory (Parker & Rubenstein 1981; Enquist et al. 1990), is necessary to gain an understanding of how individuals acquire and use information to resolve conflict. The relatively high energetic costs of several Hack: Assessment in cricket contests cricket tactics have the consequence that rates of cost accrual are not just high during the final, most escalated phase of combat (e.g. wrestling). Assessment for male house crickets is a costly process, as predicted by sequential assessment models (Parker & Rubenstein 1981; Enquist et al. 1990), rather than a cost-free phase prior to choosing a fighting strategy (Hammerstein & Parker 1982). An important result to emerge from this study is that a combatant’s rate of cost accrual, or the tactical sequence it performs, functions as a signal. This indicates that the accrual of energetic costs is more than a by-product of the assessment process but a parameter controlled by combatants to reveal their relative competitive abilities. Although my results (but see Hack 1994) do not directly test the sequential assessment model (Enquist et al. 1990), they provide support for one of its qualities that differs from previous contest models (Hammerstein & Parker 1982). The intrinsic fighting ability of male A. domesticus appears to derive from two components, body size and endurance, and each is independently assessed. Multiple components of fighting ability suggest the need for multiple agonistic tactics, each specialized to reveal a particular component (Enquist et al. 1990). The observation that winners of house cricket contests performed certain tactics more frequently than losers is a result consistent with the mechanism of sequential assessment but one that suggests greater complexity to real contest behaviour than is considered by the model. In house cricket fights, only two of 12 agonistic tactics require both opponents to perform the same act simultaneously. Thus, males often perform different tactics during combat, and consequently accrue different costs and, presumably, acquire different information. Since the sequential assessment model assumes opponents perform the same tactic per assessment round, it is not clear whether it can provide an evolutionarily stable strategy when opponents differ substantially in their tactic use, as observed in this study. This is a general problem since, for example, contest winners in other species often perform certain tactics more frequently than their opponents (Riechert 1978; Turner & Huntingford 1986; Franck & Ribowski 1989), demonstrating a similar independence in their choice of tactics. Constraining opponents to perform the same tactic per assessment round also precludes two 745 hypothesized functions for agonistic tactics. First, a tactic may provide information to the actor by causing its opponent to respond in a particular manner. For example, a rapid lunge may force an opponent to step back revealing its agility or speed. Different propensities to probe an opponent may account for some of the observed difference in tactic use between cricket opponents, but it is not clear why winners may have consistently probed at higher frequencies than losers. Second, an individual cannot communicate through its choice of tactic (Enquist 1985) if it is obligated to perform the same tactic as its opponent (Grafen & Johnstone 1993). This study presents evidence that winners signalled a greater capacity to incur the high energetic costs of wrestling by more frequently choosing to perform other tactics of moderate energetic cost. Signals of this type represent ‘strategic handicaps’ (sensu Zahavi 1977; Grafen 1990) since high-quality individuals (e.g. superior fighters) can better afford to produce them than low-quality individuals. Unfortunately, there are difficulties in applying the theory of strategic handicap signalling to contests. The model has a formal weakness in its inability to model contexts where communication is symmetrical, or when signallers also act as receivers (Grafen 1990), as is clearly the case during contests. Honest, but costly, indicators of condition (e.g. strategic handicaps) also generate an apparent contradiction with assessment theory. By definition, a handicap is a more costly signal given by a higher quality individual (Grafen 1990). For example, to signal greater energy reserves, an individual should expend more energy than its opponent, as suggested by my results. However, assessment models are based on the idea that high RHP combatants accrue costs at a slower rate during combat than their opponents (Parker & Rubenstein 1981; Hammerstein & Parker 1982; Enquist & Leimar 1983). Although this appears true for injury costs (Austad 1983; Hammerstein & Riechert 1988), energetic costs may often violate this assumption. A solution to this apparent contradiction is an accelerating decline in fitness with decreasing energy reserves; the same energy expenditure produces a larger decrease in fitness for individuals with low reserves than for individuals with high reserves. For a small excess energy expenditure by a high RHP individual, its ultimate fitness cost would not generally exceed that of its 746 Animal Behaviour, 53, 4 opponent, meeting the basic assumption underlying assessment theory and the requirement of costly, honest signalling. In house cricket matches, the winner’s excess energy expenditure was usually small (12%) relative to the total expended per opponent. Fitness may generally decline at a faster rate with decreasing energy reserves (Wilkinson 1984; Marden & Rollins 1994), although whether this applies to male house crickets is not known. As an alternative to strategic handicap signalling, the winner’s greater rate of energy expenditure may directly reveal its superior energy reserves. Individuals with lower reserves may simply be incapable of performing energetically costly acts at the same rate. Although this hypothesis may account for differences in the performance of a particular tactic used by both opponents (e.g. roaring in red deer, Cervus elaphus: CluttonBrock & Albon 1979), it seems less able to explain differences in the tactic choices of opponents (e.g. escalation to a higher cost level). For example, a male house cricket able to perform two repetitions of shaking could have instead performed a single repetition of the more costly stridulation lash for an equivalent total energy expenditure. It would not be incapable of escalating because of low energy reserves. In conclusion, assessment is fundamental to the settlement of contests in A. domesticus. Males appear to gain useful information about relative body size directly from the performance quality of certain tactics, while the choice to perform particularly costly tactics reveals information about endurance, or a male’s willingness to incur further energetic costs. Thus, assessment for male house crickets is not simply a passive process of receiving information, but depends on the sequence of tactics each opponent performs. Future studies of assessment should consider the possible signalling strategies combatants use to reveal and acquire information during combat. ACKNOWLEDGMENTS I thank J. Bradbury, V. Crawford, J. Kohn, T. Price, S. Vehrencamp and K. Williams for their advice in the design of this study and their comments on an early version of the manuscript. K. Congdon helped in the data collection. G. Parker, P. Stockley, N. Wedell and M. Gage provided many helpful comments in the writing of the manuscript. 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