Energy partitioning was studied in the larvae and early juveniles of two species of freshwater fish with different life styles, Coregonus lavaretus and Esox lucius, by measuring simultaneously the rates of feeding, oxygen consumption and growth in long-term experiments. Comparison between the two species is based on measurements at 15°C, but a group of C. lavaretus was also monitored at 10°C.

The intensity of routine oxygen consumption was mass-independent in the smallest larvae, but above about 10 mg wet body mass (m) it scaled with an allometry of m−0.103 in C. lavaretus and m−0.154 in E. lucius. Routine, minimum and maximum rates of metabolism were higher in C. lavaretus than in E. lucius, whereas the mass-specific rate induced by feeding showed a quite different and more complex relationship to species.

The mass-specific rate of growth scaled with m−0.133 (r=0.54) in C. lavaretus but with m−0 24 (r=0.90) in E. lucius.

Comparison of five experimental groups, differing from each other with respect to species, type of prey (Artemia nauplii or Rutilus rutilus larvae), experimental temperature and body size, suggested a general pattern of energy partitioning, with 62±3.7% of metabolizable food energy being allocated to growth, and 38±3.7% to metabolic expenditures.

The relationship between metabolic rate and growth rate, expressed as the ‘yield ratio’, mg dry body mass μmol−1O2, the inverse of the net cost of growth, proved to be nearly invariant in all experimental groups, namely 0.043 mg μmol−1. However, two experiments with the smallest pike larvae led to higher growth rates per metabolic expenditure, suggesting that in E. lucius oxygen consumption may reach an aerobic maximum for growth at a routine rate of about 200–220 μmol O2g−1 dry bodymassh−1.

Gross costs of growth include mass-dependent maintenance expenditures. Expressed in mass-independent units, E. lucius was more efficient in converting food energy into growth than was C. lavaretus’, its superiority in this respect ranged from 7 to 17% depending on body mass and diet.

The results are discussed with regard to the question of whether in small poikilothermie metazoans the allocation of metabolic energy follows the rules of addition or compensation. Furthermore, growth performance of the fish larvae is compared with that of microorganisms on the basis of the ‘yield ATP’ concept.

We are still quite ignorant about the rules by which metabolic energy is allocated to different physiological functions in small animals. Small body size implies a high rate of maintenance metabolism with little scope for additional physiological functions such as locomotion, stress responses, defence, repair and growth (Wieser, 1991). In consequence, the energy metabolism of small animals must respond sensitively to changes in internal or external conditions, so that metabolic energy can be allocated to different functions according to priority of demand. The rules by which priority is established are unknown, but the rapidity with which switching is likely to proceed makes it mandatory to measure simultaneously energy consumption (usually as oxygen consumption) and the intensity of the function to be investigated.

By means of a ‘feeding respirometer’ we have been able to identify some of the rules governing the conversion of food energy into body substance in small fish (Wieser and Medgyesy, 1990a,b, 1991). Since in these (and probably other) small metazoans the energy expenditures for the sum of all physiological functions may exceed the aerobic maximum, individual functions are believed to substitute for each other when metabolic energy becomes limiting. Thus, uncertainty exists as to the true costs of growth, particularly during periods of embryogenesis and larval development (Rombough, 1992). In such animals a precise accounting of energy fluxes will probably never be possible since this would require the simultaneous measurement of all energy-consuming functions. However, our knowledge of the rules of energy allocation could be furthered by comparing species with different life styles and by studying the responses of organisms to changes in external and internal factors, such as food, temperature, stress, body size, etc.

The present investigation extends previous analyses of flux and allocation of metabolic energy in fish larvae (Wieser and Medgyesy, 1990a,b, 1991). Specifically, we asked to what extent the rules of energy partitioning may be influenced by (1) the life style of the fish species, and (2) the type of food offered. In order to answer the first question we compared the larvae of the white fish Coregonus lavaretus (L.), a fast-swimming predator, with those of the pike, Esox lucius (L.), a sit-and-wait predator, feeding on the nauplii of Artemia sp. To answer the second question we compared the larvae of pike feeding on Artemia with juveniles of the same species feeding on the larvae of a cyprinid species, Rutilus rutilus. An additional aim of the present investigation was to compare the two forms, or subspecies, of C. lavaretus, i.e. C. l. wartmanni (Gangfisch) and C. l. macrophthalmus (Blaufelchen), which spawn at different depths in Lake Constance and are believed by aquaculturists and fishermen to differ in their rates of growth (Ruhlé, 1986; Roesch, 1987). In a feeding experiment with dry food, Roesch and Dabrowski (1986) observed Gangfisch to grow faster than Blaufelchen, but this difference may have been due to the latter hatching from smaller eggs. At any rate, we found no differences between the two forms and shall, for the purposes of this investigation, consider them as representing a single taxon.

In conjunction with the results of previous reports, the present investigation permits the formulation of some general rules of energy allocation and growth efficiency in small fish.

Fish

Larvae and juveniles of Coregonus lavaretus (L.) and pike, Esox lucius (L.), were raised from eggs fertilized in the laboratory, the parent fish originating from Bodensee (Lake Constance; Vorarlberg) and Mondsee (Upper Austria), respectively. After hatching, the fish were maintained in running water at 15°C and fed Artemia nauplii. When the pike had reached a wet body mass of about 200 mg, they were fed larvae of the cyprinid species Rutilus rutilus (L.). A group of C. lavaretus was also raised at 10°C.

Respirometry

Oxygen consumption was determined on groups of fish by means of the automatic feeding respirometer described previously (Wieser and Medgyesy, 1990a,b; Medgyesy and Wieser, 1991). The experiments comparing the two fish species were performed at 15°C, but a group of C. lavaretus was also studied at 10°C. The experiments consisted of four feeding periods in the light, each lasting 15 h, interrupted and terminated by four non-feeding periods in the dark, each lasting 7h. Between these periods, the fish were removed from the respirometer for lh, and the bacterial oxygen consumption of the system was determined. When Artemia nauplii were used as food, each feeding period was again subdivided into eight 1-h periods of actual feeding, and seven 1-h periods when the nauplii were flushed out of the system, the unconsumed prey being retained by a plankton net for later counting. The approximate number of prey presented to the fish was known from the concentration of Artemia in the holding cylinder and the volume of the solution passing through the magnetic valve into the experimental chamber (which had a volume of about 0.5 dm3). At the end of a feeding period the live nauplii retained by the faeces sampler were counted and added to the number remaining in the holding cylinder. Subtracting this figure from the initial number of nauplii in the holding cylinder yielded an estimate of the number of prey consumed by the fish.

A different approach, had to be used when juvenile pike were fed larvae of R. rutilus. During each of the four 15-h feeding periods, two groups of 15–20 prey larvae were introduced into the respirometer chamber, one at 1 and one at 6h after the beginning of the feeding period. The pike preyed upon the larvae rapidly and efficiently. After about 15 min they seemed to be satiated and stopped feeding, at which time the respirometer chamber was opened, the remaining prey were removed by suction and the chamber was closed again. In this way, a nearly uninterrupted record of oxygen consumption of the pike was obtained prior to, during and after consumption of two meals of R. rutilus larvae during four feeding periods of 15h each. The mass of the prey eaten was estimated by weighing samples of R. rutilus from the same group as those used in the experiments.

Protocol

The fish fed ad libitum were deprived of food for about 12 h and were then introduced into the respirometer chamber, where they were left for another 6h without food to ensure that the lowest rate of oxygen consumption measured during this period represented what, in the usual terminology, has been called the ‘basal’, ‘standard’ or ‘resting’ rate of metabolism (Brett, 1972). The fish were then removed, bacterial oxygen consumption was determined and the fish were returned to the experimental chamber.

To monitor growth, wet body mass, dry body mass and protein concentrations (measured by the method of Lowry) were determined at the beginning and at the end of each experiment. The initial values were determined on samples of fish from the same group from which the experimental animals had been taken. There was no significant difference in body water and protein concentration between fish at the beginning and at the end of the experiments (Wieser and Medgyesy, 1990b). The method of sample weighing was employed for fish up to a wet body mass of about 70 mg, which were too sensitive to be subjected to the stress of weighing. In larger fish, the initial wet body mass was determined on the experimental animals themselves by lightly anaesthetising them with benzocaine (stock solution: 1 g dm−3 70% ethanol, 4 ml added to 150 ml tap water) before weighing.

Assimilation efficiency was expressed as (P+R)/C×100; P, R, and C being the energy equivalents of growth, total oxygen consumption and food consumption, respectively, during a 4-day experiment. The following energy equivalents were used for the construction of energy budgets: l μmol O2=0.45 J; 1 mg dry body mass fish=22.7 J; 1 mg dry body mass Artemia nauplii=20 J; 1000 nauplii=42 J (Wieser and Medgyesy, 1990a).

In each experiment the following rates were distinguished: Rmin, the average of the three lowest preprandial rates of oxygen consumption; Rmax, the average of the three highest postprandial rates of oxygen consumption; Rrout, the average rate of oxygen consumption during an experiment, determined by dividing the total amount of oxygen consumed by the number of experimental hours; and Rf (called FIT in previous pubheations), the rate of oxygen consumption connected with feeding, i.e. Rrout—Rmin. This definition assumes that all oxygen consumed above the preprandial minimum is connected with the uptake and conversion of food energy. In agreement with Jobling (1981,1983,1985), we assume that most of Rf has to do with fuelling growth but, as will be shown below, this is not the whole story.

All metabolic rates are given in μmol O2 g−1h−1, based on either wet or dry body mass.

We also determined g, the relative or specific rate of growth, calculated from (ln dbmend–ln dbmbegin)/ Δt (where dbm is dry body mass), and expressed as either% per day or mg dry body mass g−1h−1, where t is time.

Statistics

Simple regressions were calculated for the relationship between metabolic or growth rate and body mass. The relationship between metabolic rate and growth rate, which are both subject to error, was defined by calculating Bartlett’s best fitting lines. Differences in physiological variables between groups were estimated by means of Student’s t-test.

Body composition and levels of metabolic rate

In Table 1 the results of the present investigation are summarized and compared with relevant data from previous investigations. Although the pike larvae contained significantly more body water than the white fish larvae (columns A,C; P<0.001), the water content of the two species was fairly similar up to a wet body mass of about 1.5g (mean 85±1.5%). However, the water content of the larger juvenile pike described in Wieser and Medgyesy (1991) was very much lower (76%) than that of smaller fish. Protein content was significantly higher in pike than in white fish larvae and early juveniles (60±5.5% as against 44.4±2.2% of dry body mass).

Table 1.

Basic variables (means±S.D.) for the construction of energy budgets in two species of freshwater fish Coregonus lavaretus and Esox lucius

Basic variables (means±S.D.) for the construction of energy budgets in two species of freshwater fish Coregonus lavaretus and Esox lucius
Basic variables (means±S.D.) for the construction of energy budgets in two species of freshwater fish Coregonus lavaretus and Esox lucius

In fish of identical size, the routine, minimum and maximum rates of oxygen consumption were 1.3-1.7 times higher in C. lavaretus than in E. lucius. However, Rf was higher in the latter species by a factor of 1.15 (12.3±1.7 as against 10.8±1.7μmol g−1 h−1; P=0.0166) (Table 1, columns A and C). The ratio of the highest to the lowest metabolic rates measured (Rmax/Rmin) ranged from 1.9 to 2.1 in C. lavaretus but from 2.4 to 3.1 in E. lucius, which may reflect the characteristic ‘sit-and-wait’ life style of the pike, already fully developed in the larvae.

Scaling of physiological rates

As has been pointed out before (Giguere et al. 1988; Rombough, 1988; Wieser, 1991), the mass-specific rates of metabolism of fish pass through a short mass-independent phase after hatching. In C. lavaretus and E. lucius this phase lasted until the larvae had reached a wet body mass of about 10 mg (from a hatching mass of 1.5–2mg). Above 10mg, Rrout at 15°C is defined by the following scaling relationships (m in mg wet body mass; Rrout in μmol O2g−1 wet body mass h−1; Fig. 1):

Fig. 1.

Scaling of Rrout (μmol O2g−1 wet body mass h−1) against wet body mass (mg) in C. lavaretus (circles) and E. lucius (squares). Open squares, pike fed Artemia nauplii; filled squares, pike fed Rutilus rutilus larvae. Each symbol represents one feeding experiment of 4 days duration. The values representing larvae below 10 mg wet body mass (logl.O) were not included in the calculation of the regression lines (see text).

Fig. 1.

Scaling of Rrout (μmol O2g−1 wet body mass h−1) against wet body mass (mg) in C. lavaretus (circles) and E. lucius (squares). Open squares, pike fed Artemia nauplii; filled squares, pike fed Rutilus rutilus larvae. Each symbol represents one feeding experiment of 4 days duration. The values representing larvae below 10 mg wet body mass (logl.O) were not included in the calculation of the regression lines (see text).

Whereas Rrout was distinctly higher in C. lavaretus than in E. lucius over the whole size range tested, this was not true for Rf (Fig. 2). Up to a wet body mass of about 100 mg the mass-specific metabolic rate of C. lavaretus induced by feeding is represented by a mass-independent rate of 10.8±1.7 μmol O2 g−1 h−1. In E. lucius, however, Rf decreased with body mass (m in mg wet body mass) according to:
Fig. 2.

Scaling of Rf in C. lavaretus and E. lucius. Symbols as in Fig. 1. A regression line was calculated through all the data for E. lucius, but the scatter of the values representing C. lavaretus prevented such a calculation (see text).

Fig. 2.

Scaling of Rf in C. lavaretus and E. lucius. Symbols as in Fig. 1. A regression line was calculated through all the data for E. lucius, but the scatter of the values representing C. lavaretus prevented such a calculation (see text).

Thus, Rf was about 50% higher in a 10 mg pike larva than in a white fish larva of the same mass.
The specific rates of growth also scaled negatively with body mass (Ursin, 1979; Reiss, 1989), the inter-specific pattern resembling that of Rf (g in mg g−1 h−1; m in mg):

Energy budgets

The results of the present investigation can be fitted into the balanced energy equation (Winberg, 1956):
where C is consumption, A is assimilation efficiency, P is growth and R is respiration.

A comparison of these results with those of previous studies (Wieser and Medgyesy, 1990b, 1991) revealed some general rules of energy partitioning in small fish. From the basic data summarized in Table 1, we extracted the values for C, P and R and converted them to the common unit, J g−1 dry body mass h−1. Table 2 suggests a general pattern of energy partitioning for a wide range of experimental conditions, such as species used (C. lavaretus and E. lucius), prey (Artemia and R. rutilus), experimental temperature (10–20°C) and body size (7–3600 mg). Although E. lucius allocated a larger proportion of energy to somatic production than did C. lavaretus, the difference was small. Across all experimental groups 62±3.7% of energy was allocated to P and 38±3.7% to R.

Table 2.

Allocation of ingested (C) and metabolizable (P+R) food energy to growth and respiration in five experimental groups of freshwater fish

Allocation of ingested (C) and metabolizable (P+R) food energy to growth and respiration in five experimental groups of freshwater fish
Allocation of ingested (C) and metabolizable (P+R) food energy to growth and respiration in five experimental groups of freshwater fish

Table 1 (columns D,E) also shows that the reduced consumption rates of the larger pike feeding on R. rutilus were partly offset by high assimilation efficiencies and that the Q10 values of physiological variables in the larvae of C. lavaretus feeding on Artemia (columns A,B) ranged from 1.6 to 2.7.

Yield and cost of growth

Instead of plotting Rf (=FIT) against relative growth rate as in our previous pubheations (Wieser and Medgyesy, 1990a,b, 1991) we have chosen this time to plot g (mg dry body mass g−1 h−1) against the total energy consumed during the feeding experiments, represented by Rrout (μmol O2 g−1 dry body mass h−1). This is the inverse of the procedure advocated by Smith (1957), who considered the intensity of Rrout to be determined by specific growth rate (g) and maintenance rate, according to
where a and b are constants. Our approach results in a ‘yield ratio’ with the dimension mg dry body mass μmol−1O2, the inverse of the net cost of growth, but comparable to the yield ratios customarily employed by microbiologists. The usefulness of this ratio will become apparent in the Discussion.

Fig. 3 combines the data of the present investigation with previous data on C. lavaretus (C. wartmanni in Wieser and Medgyesy, 1990b), thus including an experiment with reduced rations. By distinguishing between two sets of experiments according to the type of prey used it can be shown that the relationship between g and Rrout (x) is defined by the following equations (based on Bartlett’s best fitting lines):

Fig. 3.

Growth rate plotted against Rrout in C. lavaretus (circles) and E. lucius (squares). Different experimental groups are represented by different symbols. Filled squares, pike fed R. rutilus larvae; open symbols, C. lavaretus and E. lucius fed Artemia nauplii; dotted circles, C. lavaretus at 10°C (all other experiments at 15°C); crossed circles, C. lavaretus on reduced rations. See Tables 1 and 3 for more details. Bartlett’s best fitting lines were calculated for the experiments with R. rutilus larvae and for the experiments with Artemia nauplii as prey. However, the two experiments with the highest growth rates (open squares) were not included in the calculation (see text).

Fig. 3.

Growth rate plotted against Rrout in C. lavaretus (circles) and E. lucius (squares). Different experimental groups are represented by different symbols. Filled squares, pike fed R. rutilus larvae; open symbols, C. lavaretus and E. lucius fed Artemia nauplii; dotted circles, C. lavaretus at 10°C (all other experiments at 15°C); crossed circles, C. lavaretus on reduced rations. See Tables 1 and 3 for more details. Bartlett’s best fitting lines were calculated for the experiments with R. rutilus larvae and for the experiments with Artemia nauplii as prey. However, the two experiments with the highest growth rates (open squares) were not included in the calculation (see text).

Artemia as prey
Table 3.

Gross cost of growth based on energy allocation to metabolic expenditures (Rrout) and growth (g) in five experimental groups of two species of freshwater fish

Gross cost of growth based on energy allocation to metabolic expenditures (Rrout) and growth (g) in five experimental groups of two species of freshwater fish
Gross cost of growth based on energy allocation to metabolic expenditures (Rrout) and growth (g) in five experimental groups of two species of freshwater fish
Rutilus as prey
The Artemia experiments were carried out with larvae of E. lucius and C. lavaretus, ranging in size from 7 to 83 mg wet body mass, whereas the Rutilus experiments were with E. lucius only, ranging from 200 to 1600 mg wet body mass (Table 1). The slopes of the two lines are identical but the coefficients are significantly different (P<0.001). This means that, irrespective of the experimental conditions (i.e. species, prey type and temperature) the yield ratio amounted to approximately 0.043 mg dry body mass μmol−1 O2. By extrapolating the best fitting lines to g=0, a value of Rrout is obtained that corresponds to the maintenance level of classic nutrition physiology. These levels were 62.9 and 20 μmol g−1 dry body mass h−1 for the Artemia and Rutilus experiments, respectively, which, on the basis of the average water content of 85% (Table 1), convert to 9.5 and 3 μmol g−1 wet body mass h−1.

However, this generalisation has to be qualified in one important respect: in calculating the best fitting lines through the data of the Artemia experiments, the two experiments with the smallest pike larvae (1.01 mg) were excluded. The specific growth rates of these fish were nearly twice as high (9.4 and 10 mg g−1 h−1) as those of the next largest fish, whereas Rrout was in the range of the highest values recorded in other experiments (Fig. 3). Since two samples are not sufficient to determine the shape of the curve in the upper range, we take these samples as merely suggesting that in E. lucius RTOut may reach an aerobic maximum at about 200–220 μmol O2g−1 dry body mass h−1. In our previous investigations, an aerobic maximum for growth has been defined with regard to Rf only (Wieser and Medgyesy, 1990a,b).

By using the scaling exponents given in equations 1–5 as well as that of a lowration group of C. lavaretus studied previously (Wieser and Medgyesy, 1990b), we have also calculated Rrout, g and the cost of growth, for two standard fish weighing 10 and 100 mg dry body mass. The values summarized in Table 3 allow the following conclusions. (1) When comparing groups of similar ranges of body mass subjected to identical experimental conditions (groups A and D), the cost of growth was found to be lower in E. lucius than in C. lavaretus, savings ranging from 17 to 7% in standard fish weighing 10 and 100 mg, respectively. (2) The cost of growth was lower by 17–18% in the larger fish-fed pike than in the smaller Artemia-fed pike. (3) Between 10 and 15°C the cost of growth was more or less independent of experimental temperature in C. lavaretus. (4) In the experiments with reduced rations the lower growth rate was not accompanied by an equivalent reduction in total oxygen consumption, leading to exaggerated gross costs of growth. This is due to the increased swimming activity of small fish maintained on low rations, a phenomenon observed previously (Wieser et al. 1988). According to the rules of classic nutrition physiology, a proportional decrease in growth rate and metabolic rate would have been expected under these circumstances (Wieser, 1991).

Arecent subject of discussion has been whether in small poikilothermic animals the allocation of metabolic energy follows the rules of addition or of compensation (Wieser, 1989, 1991; Rombough, 1992). As far as the metabolic costs of growth and production are concerned, the classic approach consists of determining the relationship between growth and oxygen consumption following ingestion of food in excess of the maintenance ration (Brody, 1945; Jobling, 1985). The amount of oxygen consumed after ingestion of a meal has been called the specific dynamic action (SDH: Rubner, 1902), diet-induced thermogenesis (DIT: Rothwell and Stock, 1989), feeding-induced thermogenesis (FIT: Wieser and Medgesy, 1990a) or simply - as in the present paper - oxygen uptake rates associated with feeding (Rf: Jobling, 1985). Despite the difficulty of defining a maintenance level in most poikilothermic animals, a proportional relationship between metabolic intensity above maintenance (Rf) and growth rate (g) has been reported in several studies with fish (Hogendoom, 1983; Jobling, 1981, 1985). However, in the larvae and small juveniles of several species of freshwater fish Rf was found to become independent of g above a critical threshold (Wieser and Medgyesy, 1990a,b).

If the metabolic potential above what in this investigation has been called Rmin (the lowest preprandial rate) is not sufficient to fuel the rates of growth observed, the most likely explanation is that Rmin contains components of energy expenditure that can be replaced by some of the costs of fast growth. This is supported by the finding that extrapolation of the best fitting lines for Artemia-fed fish to zero growth resulted in a metabolic rate of 9.5 μmol O2 g−1 wet body mass h−1, which is only half the minimum metabolic rate actually measured in C. lavaretus (Table 1). In E. lucius the difference between the extrapolated and the empirical maintenance level is much smaller (9.5 as against 11.0μmol g−1h−1), underscoring the conclusion that, in this species, as a result of its larger scope for growth, compensatory measures of energy allocation may have come into play only at the highest growth rates. Growth rates as high as 22–24% per day were measured in the two experiments with the smallest pike larvae (8.7 mg wet body mass), practically the same relative growth rates as those observed in pike larvae growing in small ponds at 15°C (Bry et al. 1991).

Whilst there can be no doubt that compensatory strategies of energy allocation do occur in the larvae of fish, the question remains whether these strategies affect only a fraction or all of the energy budget. Total lack of correlation between growth rate and oxygen consumption has recently been described in the embryos and yolk larvae of chinook salmon, Oncorhynchus tshawytscha, by Rombough (1992). This has also been claimed for the nematode species Caenorhabditis briggsae and for the feeding larvae of Rutilus rutilus by Wieser (1989). However, in the latter species oxygen consumption and growth were not measured simultaneously. The results of the present investigation in combination with those of a previous study (Wieser and Medgyesy, 1990b) provide only marginal support for the occurrence of compensatory strategies in the larvae and young juveniles of C. lavaretus and E. lucius if the total metabolic rate, Rrout, is taken into account. There is a hint that in E. lucius a metabolic ceiling is reached at growth rates of 6–7 mg dry body mass g−1 h−1 (=14–17% per day), but this suggestion is based on two 4-day experiments only (Fig. 3).

The net yield ratio of about 43 μg dry body mass μmol−1 O2 was calculated on the basis of best fitting lines through 43 samples, each representing a 4-day experiment. This figure is, therefore, a fairly robust statement about the efficiency or net cost of somatic production in these small metazoans, usually defined by:
where r is the energy cost per unit growth (Jobling, 1985).

Another way of comparing the use of metabolic energy is by calculating partitioning into somatic production (P) and metabolic expenditure (R). As summarized in Table 2, E. lucius allocated slightly more energy into P than did C. lavaretus (62–67% as against 57–60%) but across all the experimental groups studied about 62% of metabolizable energy was allocated to P and 38% to R. This may be compared with the generalized energy budget for larger fish constructed by Brett and Groves (1979), in which the allocation of metabolizable energy to growth and respiration was almost exactly the opposite of our results for the larvae and young juveniles, about 40% being allocated to P and about 60% to R (see also Brafield, 1985).

The metabolic cost of production has been intensively studied in microorganisms and is usually expressed as the yield per ATP (YATP) i-e-grams dry microbial mass per mole of ATP. According to Stouthamer (1973) the theoretical YATP.max is about 32 g dry body mass mol−1 ATP, provided that all the monomers for the synthesis of macromolecules are supplied externally. However, the yield found empirically is only about one-third of the theoretical maximum, and this discrepancy has been the subject of numerous investigations by microbiologists (Stouthamer, 1979; Tempest and Neijssel, 1984).

Since protein synthesis accounts for about 75% of the total cost of synthesis in microbial cells, and since the protein content of these cells is, on average, 50–60% of the dry mass, the values for microorganisms can be directly compared with those for the fish larvae in which the average protein content was 55% of dry body mass.

A net yield of 43 μg dry body mass μmol−1 O2 calculated for the data assembled in Fig. 3 converts to about 7 g dry body mass mol−1 ATP (assuming 1mol O2= 6 mol ATP), which is approximately 70% of the average empirical yield in microorganisms (Stouthamer and Bettenhaussen, 1973). The similarity of these values is, perhaps, not particularly surprising since it has been shown on several occasions that the cost of producing 1 g of organism is the same irrespective of the latter’s systematic position (Wieser, 1985). However, the fact that the empirical cost of growth is 3–4 times higher than the theoretical cost, in microorganisms as well as in metazoans, should puzzle zoologists as much as it has been puzzling microbiologists for some time (Stouthamer 1973, 1979).

This investigation has been supported by the ‘Fonds zur Forderung der wissenschaftlichen Forschung’ of Austria, project no. P 7804. We thank Joy Wieser for assistance with the language.

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In a recent publication Kamler et al. (1992) reported net conversion efficiencies (K2) of 55–80% in carp larvae fed zooplankton and different types of formulated diets.