Studies focusing on physiological variation among individuals, and its possible evolutionary consequences, are scarce. A trait can only be a target of natural selection if it is consistent over time, that is, a trait must be repeatable. In ectotherms it has been suggested that standard metabolic rate(MR) is related to Darwinian fitness, since it reflects energy usage and expenditure. The metabolic rate of the cricket Hophlosphyrum griseuswas determined at three ambient temperatures. Repeatability of MR was estimated by product–moment correlation on residuals of body mass, as well as the thermal sensitivity of MR on an individual basis (individual Q10). The MR of H. griseus was significantly repeatable(r=0.53) and highly dependent on ambient temperature, and its sensitivity (Q10) was dependent on the temperature range. Our estimation of MR repeatability was high in comparison to published studies in vertebrates. Ours is the second report of repeatability (i.e. consistency over time of an individual's performance ranking within a population) of any aspect of energy metabolism in an insect, and also the first study to report significant repeatability of MR.

Individual Q10 values revealed important interindividual variation, which reflects the existence of intrapopulational variability in the thermal sensitivity of MR. In addition, individual Q10 values were negatively correlated between temperature ranges. This means that crickets having low Q10 at low temperatures, presented high Q10 at high temperatures, and vice versa. Our results suggest that MR could be of selective value in insects, showing consistency over time and intrapopulational variability in its thermal dependence. Nevertheless, its heritability remains to be determined.

Temperature has profound effects on ectothermic animals(Cossins and Bowler, 1987). It controls nearly all physiological and biochemical processes, thus determining a great deal of animal life histories(Huey and Berrigan, 2001). On the long-term (i.e. evolutionary) scale, temperature has important consequences for ectotherms, determining patterns of daily activity(Alexander, 1999), movement(Gibert et al., 2001), adult size (Sibly and Atkinson,1994), reproduction (Madsen and Shine, 1999), and feeding and digestion(Blouin-Demers and Weatherhead,2001). An organism's pattern of energy usage is reflected in measurements of energy expenditure, the most common being the rate of metabolism. In animals, metabolic rate (MR) can be determined by either the rate of CO2 production, or the rate of O2consumption.

The most immediate determinants of MR in insects are body mass and ambient temperature (Ta). Secondarily, MR changes with mode of locomotion (Rogowitz and Chappell,2000), gender (Rogowitz and Chappell, 2000), altitude(Rourke, 2000), parasitic infestation (Kolluru et al.,2002), water scarcity (Davis et al., 1999), climate(Nielsen et al., 1999), and reproduction (Prestwich and Walker,1981). Several adaptive hypotheses have been proposed to explain general patterns and magnitudes of MR in insects. Two of the most popular, but at the same time highly debated, are discontinuous gas exchange and metabolic cold adaptation. The former makes use of a known respiratory pattern in insects (i.e. a burst of CO2 release between periods of low CO2 production) to explain water economy or adaptations to hypoxia(Lighton, 1996). The second hypothesis states that insects inhabiting geographic areas with low mean Ta will present elevated MR (after controlling for body mass, temperature and phylogeny), as a thermoregulatory adaptation to confront heat loss (Reinhold, 1999; Addo-Bediako et al., 2002). These studies make it clear that the ecological and physiological patterns and processes that account for observed variation in MR in insects are not yet fully understood, especially in regard to its adaptive significance.

Comparative physiological ecology is a discipline that largely focuses on inferring adaptations (McNab,2002). Physiological ecologists analyse morphological,physiological and behavioural traits patterns, in order to explain how such traits originated, and whether or not their presence increases survival and reproduction. However, probably for historical reasons, only the first two tasks have been successful (Bennett,1987). New physiological adaptations are currently occurring in populations, but interest in studying evolutionary processes at this level has only just begun (Kingsolver et al., 2000; Hoeckstra et al., 2001). Such processes need to be addressed in the context of natural selection and intraspecific variability. A trait can be the target of natural selection only if it is consistent over time, that is, the trait must be repeatable(Hayes and Jenkins, 1997). In fact, quantitative geneticists have demonstrated that repeatability is related to heritability, in the sense that the former sets the upper limit of the latter (Falconer and Mackay,1997; Dohm, 2002). Hence, the demonstration of significant repeatability in a trait necessarily precedes any attempt to demonstrate its selective significance. Metabolic rate has been shown to be repeatable in vertebrates, both in endotherms(Hayes et al., 1998; Bech et al., 1999) and ectotherms (Garland and Else,1987; Garland and Bennett,1990), and recently, Rogowitz and Chappell(2000) have reported significant repeatability in activity metabolism of a beetle. However,although MR appear to be closely related to fitness in crickets(Crnokrak and Roff, 2002), as far as we know there is no published study that reports repeatability of MR in an insect, which is the first aim of this paper.

Our second aim concerns the thermal sensitivity of MR, termed Q10 (i.e. the magnitude of change in MR for a 10°C change in Ta) (Schmidt-Nielsen,1995). There is a great deal of information on the Q10of MR in insects, values ranging from 1.5 to 3, with a mode of 2.5(Prestwich and Walker, 1981; Ashby, 1997; Davis et al., 1999; Rourke, 2000; Rogowitz and Chappell, 2000). However, Q10, like MR, can be considered to be an individual attribute. Since it reflects the capacity of change in MR relative to changes in temperature, it could also be considered a measure of organismal performance. Hence, it is interesting to explore how much variability exists in Q10 within a population, and how this variability is related to the same variables that determine MR: temperature and body mass. As far as we know, this approach has been never attempted. We chose for our study model a small cricket species from central Chile, Hophlosphyrum griseus,since these insects are naturally exposed to a wide range of environmental temperatures, are available in large numbers and are easy to handle and measure.

Animals and study site

Crickets Hophlosphyrum griseus Phillipi 1863 were collected during austral spring 2002. The species is widely distributed in central Chile, from La Serena (29°54′S, 71°16′W) to Valdivia(39°27′S, 73°49′W)(Lamborot, 1985). Studied individuals were obtained at San Carlos de Apoquindo (33°23′S,70°31′W), near the Andean Range, at 800 m altitude. The climate in the study area is Mediterranean, with an annual mean of 376.4 mm rainfall,concentrated (65%) during the austral winter months, from June to August(Jaksic, 2001). Mean annual temperatures are 6.0 and 28.7°C. San Carlos de Apoquindo is covered by sclerophyllous vegetation which, physiognomically, may be described as an evergreen scrub (for a complete description of the study site see Jaksic, 2001). The crickets were collected by hand net, from underneath stones, pieces of wood and soil litter. Specimens were transferred to plastic containers and moved to the laboratory on the same day as capture.

Maintenance and acclimation

All specimens were kept in individual containers (i.e. perforated plastic Petri dishes) to ensure uniformity of acclimation conditions prior to measurements. Water was periodically added to a cotton swab placed at the end of the cage to provide a source of moisture. Food was supplied weekly, in the form of rabbit food pellets. The photoperiod was kept at 12 h:12 h dark:light. After an initial 1 week period of acclimation to laboratory conditions, and prior to each metabolic measurement, crickets were maintained for 2 weeks at either 7±1°C, 17±1°C or 27±1°C in environmental chambers. These temperatures were offered in a random order to avoid sequential training. We chose these acclimation temperatures since they are close to the average extremes of the natural temperature range in the habitat where the sample organisms were captured (see Di Castri and Hajek, 1976; Jaksic, 2001). Following each thermal acclimation, metabolic rate was measured at the same temperature as acclimation.

We collected additional individuals to increase sample size for the repeatability analysis. All of these specimens were maintained at 17°C since at this temperature mortality was minimal. Both metabolic measurements were performed 1 month apart (see below).

Metabolic rate measurements

All metabolic trials were performed during the day, which corresponds to the rest phase in this species. Rates of oxygen consumption(V.O) were used as a measure of MR. V.O was determined using `closed system' metabolic chambers (Vleck, 1987),consisting of disposable 10 ml hermetic syringes fitted with three-way valves(see also Chappell, 1983; Ashby, 1997; Chown, 1997). All measurements were made during the day, when crickets are inactive, and thus they serve as measures of 'standard rates of metabolism' (MR)(Schmidt-Nielsen, 1995; McNab, 2002). Animals were weighed (body mass = Mb) to the nearest mg in an analytical balance and then placed, individually, inside the syringes. Small granules of CO2-absorbent Baralyme™ and Drierite™ were added to each syringe in a compartment isolated from the cricket. The syringes were sealed from the atmosphere and placed in a temperature controlled, dark incubator for the duration of the measurement period (ca. 3–6 h,depending on the Ta at which measurements were made). In no case did the O2 within the syringe decrease by more than 10%(usually less than 5%) between the start and the end of each measurement period. Three blank syringes served as controls for each series of measurements. We injected the air of the syringe into a Tygon™ tube (1.5 m long) connected to the O2 analyzer after passing through CO2-absorbent granules of Baralyme™ and Drierite™. At the end of the measurement interval, O2 concentrations were determined using a Fox Field Oxygen Analysis System (Sable System International, Henderson, NV, USA) supplied with barometric pressure compensation. Output from the O2 analyzer was recorded by a computer using the DATACAN program. Rates of oxygen consumption (in μl O2 h–1) were calculated for each syringe, using the following equation modified from Vleck(1987):
\[\ {\dot{V}}_{\mathrm{O}_{2}}=V(F_{1,\mathrm{O}_{2}}-F_{\mathrm{E},\mathrm{O}_{2}}){/}(1-F_{\mathrm{E},\mathrm{O}_{2}})t,\]
1
where V is the initial volume of dry, CO2-free air in the syringe at STP; F1O and FEO are the O2 fractions within the syringe at the start and end of incubation,respectively; and t is the duration of incubation in h.

This system was not intended to measure the instantaneous rate of metabolism, nor to resolve discontinuous gas exchange (e.g. Chappell and Rogowitz, 2000),since each measurement is an average of oxygen consumption over several hours. However, technical errors associated with this measurement method are small(see Anderson et al., 1989),and its simplicity allows simultaneous measurements of a large number of individuals, which are needed for statistical analyses of repeatability.

Statistics

Our design included three predictor variables: two categorical variables(sex and Ta), and one continuous variable(Mb). Dependent variables were MR and Q10. We performed an analysis of covariance (ANCOVA), with Mb as the a covariate, to test the effects of each categorical variable on O2. We checked analysis of variance (ANOVA) assumptions using Kolmogorov–Smirnov and Cochran tests for normality, and Hartley and Bartlett tests for homogeneity of variances. The parallelism assumption (i.e. interaction with the covariate)was checked using an ANCOVA homogeneity-of-slopes model (Statistica 6.0), and was found to be significant in all cases. Consequently, we performed a separate slopes model ANCOVA (Statistica 6.0), which accounts for the absence of parallelism. Common linear regressions of Mb and MR were performed between each temperature. Although, formally repeatability is the intraclass correlation coefficient between two measurements(Lessels and Boag, 1987),several authors have adopted the Pearson product–moment correlation(Huey and Dunham, 1987; Chappell et al., 1995) since it is statistically easier to manage, and theoretically it represents the same quantity (Lynch and Walsh,1998). We then used the Pearson product–moment correlation(residuals from Mb) performed on the same individuals, 1 month apart. Values of Q10 were computed for each individual as MR(T2)/MR(T1), where T2 and T1 were either 17°C and 7°C, or 27°C and 17°C, respectively. Since MR strongly covaries with Mb, a prerequisite to treating individual Q10 as independent data points (and using them in statistical analyses) is that the ratio of Mb(T2):Mb(T1)must be approximately equal to unity (i.e. Mb does not change between Ta values). We tested this assumption prior to any statistical treatment of individual Q10 values[Mb(17°C)/Mb(7°C)=0.97±0.10 and Mb(27°C)/Mb(17°C)=1.08±0.16 (mean ± S.E.M.)].

We obtained two samples of individual Q10 values at different temperatures (low: 7–17°C and high: 17–27°C, Ta). These values were compared by ANCOVA, using mean Mb,[Mb(T2)+Mb(T1)]/2 as the covariate. To explore the effect of Ta on individual Q10 values, we correlated residuals of Q10with Mb, between Tas (i.e. Q10 residuals from low TaversusQ10 residuals from high Ta), in those crickets where V.O could be measured at the three Tas (N=38 individuals).

Metabolic rate was significantly correlated with body mass for all Ta (Fig. 1, Table 1). There were significant differences in the slopes of the V.O/Mb relationship, at different Tavalues, which is demonstrated by the significant interaction between temperature and Mb in the parallelism test(F2,286=23.5, P<0.0001, ANCOVA, homogeneity-of-slopes model). The slope of V.O and Mbincreased with Ta (Fig. 1). Additionally, Ta had a significant effect on V.O after controlling for Mb(F2,286=62.1, P<0.0001, ANCOVA, separate slopes model). Although sex was not significant as a main factor, it had an effect on V.O through interaction with Ta and the covariable (F1,290=16.5, P=0.0006, one-way ANCOVA, Table 2, Fig. 2). This effect is probably due to the sexual dimorphism presented by this species, and the fact that females became significantly larger than males at high Ta (27°C; see Fig. 2).

Residuals of V.O were significantly repeatable between measurements made 1 month apart (r=0.53; P<0.0001, Fig. 3), which reflects trait consistency over time. Individual Q10 values were significantly correlated with Mb only in the low Tarange, but this correlation was weak (r2=0.08, P<0.0001; high Ta: r2=0.03, NS, Fig. 4). Individual Q10 presented substantial variability,with coefficients of variation of 22% and 30% in the low and high temperature range, respectively. However, Q10 values from the different temperature ranges were not significantly different(Q10,7–17°C=2.43±0.53; Q10,17–27°C=2.63±0.80, t37=–1.07, NS), although residuals of Q10 were significantly and negatively correlated between Ta values (r=–0.59, P=0.0001; Fig. 5).

The standard metabolic rate of Hophlosphyrum griseus was repeatable and highly dependent on Ta, and the thermal sensitivity of MR (i.e. Q10) was dependent on the temperature range. According to Rogowitz and Chappell(2000), this would be the second report of repeatability (i.e. consistency over time of an individual's performance ranking within a population) of any aspect of energy metabolism in an insect, and the first report of significant repeatability of MR. Another interesting outcome of this study was that individual Q10 values revealed important intrapopulational variation, which reflects the existence of interindividual variability in the thermal sensitivity of O2. More interestingly, individual Q10 values were negatively correlated between temperature ranges. This mean that crickets with low Q10 at low temperatures, present a high Q10 at high temperatures, and vice versa.

Metabolic rate

Our values of metabolic rate are very similar to those reported for other species of similarly sized crickets(Prestwich and Walker, 1981),or values that have been allometrically standardized by body size(Reinhold, 1999; see also Ashby, 1997). Assuming a respiratory quotient of 0.84 (Addo-Bediako et al., 2002), and taking into account each test temperature, our MR values are above those reported by other authors using open flow-V.CO respirometry for crickets (4–6 μl O2 h–1, Ta=30°C; Kolluru et al., 2002),harvestmen (2.6 μl O2h–1,Ta=25°C; Lighton, 2002), and some beetle species (5.9 μl O2 h–1, Ta=28°C; Davis et al., 1999), and are similar to some grasshopper species(7.14–11.9 μl O2 h–1, Ta=25°C; Rourke,2000). Metabolic rate increased with Ta, as expected in an ectotherm species. However, the rate of increase was different at different temperatures. Such a pattern has been described in crickets(Prestwich and Walker, 1981),grasshoppers (Rourke, 2000),beetles (Rogowitz and Chappell,2000), ants (Nielsen et al.,1999), and several other species of terrestrial and aquatic invertebrates (Rao and Bullock,1954). In addition to Mb and Ta, some authors have reported significant effects of sex on MR (Rogowitz and Chappell,2000). This is not the case here since the main effects of sex on V.O were not significant when controlling for Mb.

Repeatability of metabolic rate

Our results suggest that standard MR in Hophlosphyrum griseus is significantly repeatable after controlling for Mb. A potential drawback of our estimation is that we did not control for activity,which influences MR, although individuals were measured during the rest phase. If the same individuals in the sample were more active during both periods of MR measurement, the repeatability result could be high since individuals conserve their activity ranking across measurements. However, this does not apply to the relationship between body mass and MR, where these were high and significant. This means that larger individuals consistently presented higher MR values than smaller individuals, which is clearly a biological effect and not an artefact. Activity would be `noise' in the sense of residual error,which reduces the power of the analysis. In our case, this would yield a small and probably nonsignificant correlation, which was not the case. Another factor that could affect the repeatability analysis is that individuals were growing during the experimental period. This is very hard to avoid since H. griseus is a yearly species (i.e. individuals reproduce seasonally and live no more than a year; Lamborot,1985). On the other hand, a shorter measurement period would have been less informative since repeatability is the consistency of a trait over relatively long periods of time. Thus, to minimize the effect of growth, we controlled by body mass by using residuals and excluded individuals that molted during this period (approximately three crickets).

Previous attempts to determine the repeatability of O2 or CO2 in insects suffer from serious biases. For example, Ashby(1997) reported a V.O product–moment correlation of 0.85 for a grasshopper, but N=6 and, furthermore, no significance value was provided, nor body size controlled for. This result is, therefore trivial,since apparent repeatability of MR without correction for Mb, or computed over mass-specific MR, would be very high,given that Mb is known to be a highly repeatable trait(Chappell et al., 1995). Actually, if we reanalyze our data using V.O values obtained per individual (i.e. ml O2 h–1), our repeatability would be 0.72 (P<0.01), compared with repeatability for mass-specific V.O (i.e. ml O2g–1 h–1), where r=0.55(P<0.01). These inflated values are only due to effects of Mb. On the other hand, Rourke(2000) concluded that repeatability of water loss rate is high because three measurements made 2 weeks apart in 15 individuals did not show significant differences. The problem with this reasoning is that statistical tests are designed to avoid type I error, but not type II. In other words, the absence of significant differences among means is not evidence for their similarity(Parkhurst, 2001). Thus,Rourke (2000) can only conclude that there is not enough evidence to decide whether the water loss rate is different between samples. The only study we found where accurate estimations of repeatability in an insect were provided was for the metabolic rate of forced terrestrial exercise in a beetle(Rogowitz and Chappell, 2000). These authors reported significant values of repeatability, some as high as 0.75 between trials, but with all measurements made over a time period of 5 days. This value was higher than our findings and, together, both studies report considerably higher repeatability values than any previously reported values for physiological traits in vertebrates(Chappell et al., 1995; Berteaux et al., 1996; Bech et al., 1999). The fact that standard MR in insects is repeatable is interesting, since it suggests that this trait could respond to natural selection(Falconer and Mackay, 1997). To address this key question, which is a second step directed towards addressing adaptive hypotheses of physiological traits in insects, researchers should attempt to answer the more specific question: is standard metabolic rate heritable? Studies in vertebrates yielded mixed results(Calvo et al., 2002; Nespolo et al., 2003) but the fact that metabolic rate appear as important determinant of fitness in some species of cricket (Crnokrak and Roff,2002) along with the results of this paper suggest that insect metabolism could be of selective importance.

Thermal sensitivity of metabolic rate

We assessed the metabolic response to Ta using Q10 values computed for each individual at two temperature ranges. There are plenty of studies reporting the Q10 of metabolic rate for insects, and for invertebrates in general. It appears that in most insects MR presents a Q10 ranging from 2.0 to 2.5, with extreme values of 1.0 and 4.6 (Forlow and MacMahon,1988; Hadley and Massion,1985; Cooper,1993; Chown et al.,1997), which are in agreement with our results.

From thermodynamic considerations for general biochemical reactions,Q10 is predicted to be higher at lower temperatures(Schmidt-Nielsen, 1995). However, in insects this pattern is rather variable. For example, the results of Harrison and Fewell (1995)were in agreement with this theoretical prediction for a grasshopper, since Q10 values of digestive processes were always negatively correlated with temperature. These authors found that Q10 was quite variable,depending on the specific process being tested, with extreme values such as 5.3 for excretion rate. However, for MR, these authors found that Q10 did not change with temperature, and, in fact, reported remarkably high magnitudes (Q10=3.6–3.7). Hadley and Massion(1985), on the other hand,found that altitude had inverse effects on Q10 and Ta. Low-altitude populations presented low Q10at low Ta and high-altitude populations presented high Q10 over the same temperature range. However, the pattern was completely reversed at a higher temperature range: low-altitude populations presented high Q10, and so on. Our results suggest a similar, but perhaps more surprising, outcome: first, there is intrapopulation variation in individual Q10 values of around 30%; second, this variation shows a significant dependence on Ta; third, the dependence is negative, which suggests a trade-off, where individuals with low Q10 at high Ta present high Q10 at low Ta, and the contrary for individuals with high Q10 at high Ta.

What could be the explanation for such an unusual outcome? We recomputed individual Q10 values several times and the results remained unchanged, so we believe that this finding is not an artefact. The following mechanism, modified from Heinrich(1977), and applied by Casey and Knapp (1987) to explain their results with caterpillars, provides a good explanation. Metabolic rate,as well as its thermal sensitivity, depends on biochemical reactions inside cells and tissues. These reactions are organized in metabolic pathways, whose efficiency depends primarily on limiting pathways which, in turn, depend on enzyme complexes. Enzymes in different individuals have different thermal optima. The point is that perhaps a polymorphism in such enzyme complexes could exist in a population. Then, if a key metabolic pathway is unique for an individual, it could be that such an animal with a low optimum would perform better (i.e. present higher Q10) at low temperatures but not at high temperatures. Other individuals, stocked with an enzyme complex with a higher thermal optimum, would present higher Q10 at higher Ta, but not at low Ta. Such a trade-off polymorphism would produce a response to selection, if sensitivity to temperature influences fitness.

Financial support was provided by a CONICYT doctoral thesis fellowship to M.A.L. R. F. N. and F. B. both acknowledge a FONDAP 1501-0001 (Program 1)grant. We thank M. Elgueta from Museo Nacional de Historia Natural de Chile,for kindly agreeing to assist us in identifying specimens.

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