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Eur J Appl Physiol (1992) 64:153-157 European um,= App l ied Phys io logy and Occupational Physiology @ Spdnger-Verlag 1992 Determination and validity of critical velocity as an index of swimming performance in the competitive swimmer Kohji Wakayoshi 1, Komei Ikuta ~, Takayoshi Yoshida 2, Masao Udo 2, Toshio Moritani 3, Yoshiteru _N'hltoh 4, and Mitsumasa Miyashita 4 Laboratory of Motor Behavioral Education, and 2 Laboratory of Exercise Physiology, Faculty of Health and Sport Sciences, Osaka University, Toyonaka, Osaka 560, Japan 3 Laboratory of Applied Physiology, College of Liberal Arts and Sciences, Kyoto University, Kyoto 606, Japan 4 Laboratory for Exercise Physiology, Biomechanics and Sports Sciences, University of Tokyo, Tokyo 113, Japan Accepted September 16, 1991 Summary. The purpose of this investigation was to test whether the concept of critical power used in previous studies could be applied to the field of competitive swimming as critical swimming velocity (V~rit). The Vor~t, defined as the swimming velocity over a very long pe- riod of time without exhaustion, was expressed as the slope of a straight line between swimming distance (dlim) at each speed (with six predetermined speeds) and the duration (him). Nine trained college swimmers underwent tests in a swimming flume to measure/)crit at those velocities until the onset of fatigue. A regression analysis of d~m on t~.~ calculated for each swimmer showed linear relationships (r 2 > 0.998, P< 0.01), and the slope coefficient signifying v=it ranged from 1.062 to 1.262 m.s -a with a mean of 1.166 (SD 0.052) m. s -a. Maximal oxygen consumption (1202max), oxy- gen consumption (VO2) at anaerobic threshold, and the swimming also velocity at the onset of blood lactate ac- cumulation (VoBLA) were also determined during the in- cremental swimming test. The Vor~t showed significant positive correlations with 1202 at anaerobic threshold (r = 0.818, P< 0.01), VOBLA (r= 0.949, P< 0.01) and mean velocity of 400m freestyle (r=0.864, P<0.01). These data suggested that Ucrit could be adopted as an index of endurance performance in competitive swimmers. Key words: Competitive swimming--Critical swim- ming velocity -- Onset of blood lactate accumulation -- Maximal oxygen consumption Introduction Performance capacity has separate aerobic and anae- robic components which can be evaluated by measure- ment of maximal oxygen uptake (1202 max) and maximal oxygen debt, respectively. In competitive swimming, race distances range from 50 m to 1,500 m, the former primarily dependent on anaerobic, and the latter on Offprint requests to: K. Wakayoshi aerobic capacity. Therefore each swimmer has to de- velop his performance by a programme which optim- ises the combination of aerobic and anaerobic training to correspond to his race distance and time. Recently numerous studies have revealed a high cor- relation between swimming or running velocity at anae- robic threshold (AT) and endurance performance (Allen et al. 1985; Arabas et al. 1987; Farrell et al. 1979; Kumagai et al. 1983; Olbrecht et al. 1985; Sawka et al. 1979; Tanaka et al. 1984, 1985; Yoshida et al. 1987). Furthermore, swimming velocity at 4 retool-1-1 of blood lactate concentration has been used as an impor- tant criterion of training intensity for competitive swim- ming (Madsen and Lohberg 1987; Maglischo et al. 1982; Skinner 1987). Monod and Sherrer (1965) have found linear rela- tionship between the total work done at each rate and its duration during local muscular exercise. They de- fined critical power (Worit) as the intensity of exercise which could be maintained for a very long time without exhaustion. The Wcrit was equivalent to the slope of the regression of total work and time until exhaustion. Mo- ritani et al. (1981) applied the concept of Wcrit to total body work performing cycle ergometry and found a strong relationship between Wcrit at AT as determined by the gas exchange method (r= 0.928, P< 0.01). Moreover, W~rit calculated by the same method as that of Moritani et al. (1981) was highly correlated with fatigue threshold as estimated from electromyographic data and AT, respectively (de Vries et al. 1982; Nagata et al. 1983). Recently, Jenkins and Quigley (1990) have shown that Worit calculated using cycle ergometry pro- vided a simple and inexpensive means for assessing the exercise intensity which can be maintained continuous- ly, while avoiding the methodological difficulties asso- ciated with ventilatory and lactate thresholds. From this it could follow that the concept of W~rit may be used to assess the aerobic capacity in competitive swim- mers. However, no study has as yet shown the validity of Worst in competitive swimming. In the present study, critical velocity (VCrit) has been defined, based upon W~r~t, as the speed which could 154 theoret i ca l l y be mainta ined w i thout exhaust ion dur ing runn ing or sw imming . The purpose o f this invest igat ion was to eva luate whether Ucrit cou ld prov ice a non inva- sive method for es t imat ing sw imming per fo rmance in compet i t i ve sw immers . Methods Subjects. Nine male trained college swimmers (18-21 years) vo- lunteered for this study. Seven subjects specialised in freestyle (short and middle distance: n=3, and long distance: n=l ) and two subjects specialised in the individual medley. Each subject signed a statement of informed consent. Swimming flume and protocol. All swimming tests were performed in a specially designed swimming flume similar to that of Astrand and Englesson (1972) and Nomura (1982) in which water could be circulated in a deep loop by a motor-driven propeller providing a velocity from 0 to 3.0 m • s -1 with increments of 0.01 m - s-1 (Iga- rashi Co., Ltd, Tokyo, Japan). The dimensions of the swimming area were 6.0 m long, 2.5 m wide and 1.5 m deep. The water and the indoor ambient temperatures were 25-26 ° C and 24-25 ° C, re- spectively. The swimming speed of the incremental exercise test started at 0.75 m • s - i and, increased thereafter by 0.05 m • s- ~ every minute until the limit of the subject's tolerance was reached. A T and 1202 max" During the incremental exercise test, the subjects breathed through a low resistance valve assembly. Expired gas was analysed every 30 s with Mijnhardt Oxycon System (Type OX-4) for measurements of oxygen uptake (VO2), carbon dioxide output (I?CO2) and minute ventilation (IRE). The determination of AT was made during the incremental ex- ercise test using gas exchange parameters (Davis et al. 1976; Wasserman et al. 1973) summarized as follows: 1. The po!nt of departure from linearity in the relationship be- tween VE and VCO2 2. Abrupt increase of fractional concentration of expired oxygen 3. Abrupt increase in respiratory exchange ratio (R) 4. A systematic increase in the 12z/1202 without any increase in VE : VCO 2 . The highest I;'O2 value obtained during the incremental exercise test was recorded as I202 . . . . Protocol for Ocrit determination. Figure 1 illustrates the determina- tion (subject 6) of v¢~it based upon the concept of Wcrit (Monod and Scherrer 1965; Moritani et al. 1981). In the present paper, v¢~t has been defined as the swimming speed which could theoreti- cally be maintained without fatigue. When a subject swims at a steady speed in the swimming flume, exercise usually ceases at a fairly well-defined point, i.e. the subject can no longer keep up the predetermined swimming speed. The steady swimming speeds employed in the present study were six steps of 1.2, 1.3, 1.4, 1.5, 1.6 and 1.7 m • s -1 (one subject used only from 1.1 to 1.6 m • s-l). The lowest swimming speed was set as the exercise intensity at which each subject could continue to swim longer than 5 min. The end-point was marked by a line placed 90 ° to the water flow, 3 m behind the head posi- tion at which the subject began to swim. Rest periods of at least 30 rain between the test periods were allowed. For each test, the swimming velocity (v) of the swimming flume multiplied by swimming time (tli~) until the subject could no longer maintain his speed equalled the swimming distance (d t im) : d l im = t3 X t l im (1 ) '03 0 0 1.7 1.6 1.5 1.4 1.3 ~ 1.2 ~"Critical velocity 1.1 . . . . . 0 200 1000 - - - - o i , , i , , _ _ 400 300 800 y = 17.503+1.1808x 800 r 2= 1.000 £ p < 0 o 600 0 400 rq 0 200 400 600 800 Time (s) Fig. 1. Relationship between predetermined swimming velocity and time for which that velocity could be maintained (him) and between swimming distance and tlim plotted from the data of sub- ject 6 In the lower part of Fig. 1, dum obtained from five different swimming speeds was plotted as a function of hi~. Those points were accurately situated on a line defining the relationship be- tween dlim and tlim. The equation of the regression line could be expressed as fol- lows: dlim = a + b × tli m (2) dlim can be substituted by v x tlim from Eq. 1, giving: v x him = a + b x tu~ (3) v = a/him + b (4) Theoretically, if we were to set v at a level which could be performed indefinitely (tUm~ ~), a/h~m would approach zero and v would approach b. Therefore, vcrit could be expressed as the slope of the regres- sion line: vorit=b (5) Blood lactate tests and determination of the onset of blood lactate accumulation. The onset of blood lactate accumulation (OBLA) has been selected as an index for blood lactate accumulation and used for evaluating endurance (Heck et aL 1985). In the present study, OBLA was calculated as the swimming velocity at which the blood lactate concentration reached a value of 4 mmol - 1-1 (VOBLA, Karlsson et al. 1984; Olbrecht et al. 1985; Yoshida et al. 1987, 1989, 1990). For this purpose, the venous blood samples were taken at the end of each of the five stages of the incremental swimming test to determine the OBLA of each individual and the corresponding swimming speed (VoBLA). The subjects swam for 4 min at speeds of 95%, 97.5%, 100%, 102.5% and 105% of v~r~t. Rest periods longer than 20 rain were provided between test periods. Arterialized ca- pillary blood was taken from the finger tip before, immediately after, and 3 and 5 min after each test period. Blood lactate con- Table 1. Physical characteristics, performance and test results for each subject No. Subject Age Height Mass Speci- 400 m l?O2~,x VO2,AT /)OBLA /)crit r2 (years) (cm) (kg) ality (m.s -1) (ml.lg-l-min -1) (ml.kg-l'min -1 (m.s -1) (m's -1) (dlim vs tlim) 155 1 MU 20 173.5 74.3 FR-S 1.368 53.5 33.3 1.092 1.062 0.999 2 TT 20 173.5 66.4 FR-S 1.533 52.5 38.0 1.140 1.140 0.999 3 YF 21 180.6 73.2 FR-S 1.556 55.3 37.5 1.144 1.156 1.000 4 SH 19 174.5 71.9 FR-M 1.615 68.1 40.9 1.158 1.174 0.999 5 TS 21 175.1 77.2 FR-M 1.547 49.4 36.3 1.175 1.170 1.000 6 ET 20 171.0 58.5 FR-M 1.554 68.4 41.9 1.160 1.181 1.000 7 TS 19 175.0 63.3 FR-L 1.609 58.3 44.7 1.227 1.262 0.999 8 YT 20 174.0 67.9 IM 1.543 58.2 39.3 1.174 1.176 0.999 9 SY 21 173.1 71.1 IM 1.540 56.2 35.0 1.191 1.173 1.000 Mean 20.1 174.5 69.3 1.541 57.8 38.5 1.162 1.166 0.999 SD 0.8 2.6 5.9 0.071 6.6 3.6 0.037 0.052 0.001 FR, Freestyle (S, 50 m and 100 m; M, 200 m and 400 m; L, 400 m and 1,500 .m); IM, individual medley; 400 m,. velocity of 400 m freestyle; VO2 .... maximal oxygen uptake; VO2.AT, oxygen up- take at anaerobic threshold; /)OBLA, swimming velocity at 4 mmol• 1 - ~ of blood lactate accumulation; v~t, critical velocity centrations were determined by an enzymatic membrane method (HER-100, Toyobo Co., Ltd., Tokyo, Japan), which had been calibrated against a standard concentration of lactate solu- tion. Results Table 1 shows the physical characteristics, style special- ity, performance and data obtained from the tests in the present study. As will be seen the subjects in the pres- ent study were relatively homogeneous with regard to their swimming performance, having a coefficient var- iation of 3.8% for a mean velocity of 400 m (V4oo), al- though that of 1.368 m. s -1 (subject 1) was somewhat less than the others. The l?Ozm~x for these nine subjects ranged from 49.4 to 68.4 ml • kg -1 • min -a with a mean of 57.8 (SD 6.6) ml . kg -1 . min-1. The I?O2 achieved by these subjects at AT (I?O~,AT) ranged from 33.3 to 44.7 ml .kg -a .min -1 with a mean of 38.5 (SD 3.6) ml • kg - ~ • min - 1. Figure 2 illustrates the relationship between blood lactate concentration and VOBLA. Four out of nine sub- 8.0 E E 6.0 4.0 -0 0 0 m 2.0 I , i , f , i I 1.10 1,20 1.30 Swimming velocity (m. s 1) Fig. 2. Relationship between blood lactate concentration and swimming velocity at 95%, 97.5%, 100%, 102.5% and 105% critical swimming velocity with each swimmer expressed by a different symbol jects could not continue to swim at the highest exercise intensity over the full 4 rain. This may have led to an underestimation of lactate concentrations at the highest exercise intensity. The VOBLA ranged from 1.092 to 1.227 m- s -a with a mean of 1.162 (SD 0.037) m. s -1. The experimental plots used to determine Ucrit oF subject 6 are shown in Fig. 1 as an example, The regres- sion equations relating dlim with him were expressed in the general form, dlim = a + b x tlim, with r 2 value (good- ness of fit) above 0.999 (P< 0.01). The results indicated extremely good linearity regardless of time spent until exhaustion. The slope coefficient (b) signifying vorit (see Fig. 1) ranged from 1.062 to 1.262 m. s - I with a mean of 1.166 (SD 0.052) m-s -1. The average him ranged from 26.0 (SD 4.0) s for the highest speed to 497.2 (SD 141.9) s for the lowest. This range of fiim was similar to Worit data measured by Moritani et al. (1981). Subject 7 who was a specialist in 1,500 m freestyle was able to continue to swim at a speed of 1.2 m • s - I for longer than 30 min without exhaustion, and had to be in- structed to stop. Therefore, his vcrit was calculated from tlim at five speeds higher than 1.2 m • s - ] Results presented in F!g. 3 show the relationship be- tween v~tit and VO2 . . . . VO2,AT , UOBLA and/)400. Signifi- cant positive correlations were found between VO~oAT and v~it (r=0.818, P<0.01), VOBLA and v~rit (r=0.949, P< 0.01) and/)4oo and Vcrit ( r= 0.865, P< 0.01). However, there was no significant correlation between VOzmax and V4oo (r=0.437, P>0.05), and l?O2m,x and v~rit (r = 0.318, P> 0.05). On the other hand, the relationship between V4oo and VO2,AT, and that between /)400 and VOBLA (not shown in the figure, and the table in this pa- per) were significant (/)4oo) vs VOz.AT; r= 0.750, P< 0.05, V4oo vs VOBLA; r----0.763, P<0.05). Discussion The primary goal of this study was to apply the concept of Wcr i t formulated by Monod and Scherrer (1965) and Moritani et al. (1981) to vcrit, i.e. the velocity that swim- 156 ~ 70 "7 c- "7 60 U~ E ~ 50 E .> 40 c- 44 c~ 40 E ~ 36 © 32 .> A y = 10.68+40.38x r 2 = 0.101 NS 1.1 1.2 1.3 Critical velocity (m. s -1) y = -27.48 + 56.62x .~ B r2= 0.670 J p < 0.05 . / ~ , f 1.1 1.2 1.3 Critical velocity (m. s -1) 1.3 '03 1.2 E v .< d 1.1 o > 1.0 1.7 ~ 1.6 O3 E 1.5 v 8 >~ 1.4 1.3 C + 0.686x J r2= 0.901 p < 0.0I q i 1.1 1.2 Criticat velocity (m. s -1) ° e~ry2~= 0.3475 + 1.195x 0.749 p < 0.01 , t 1.1 1.2 Critical velocity (m-s -1) .3 Fig. 3. Relationship between maximal oxygen consumption (12OEm,x) (A), oxygen consump- tion at anaerobic threshold (I?O2,AT) (B), swimming velocity at onset of blood accumulation (VoaLg) (C), a mean velocity of 400 m (v400) (D) and critical swimming velocity mers can maintain without exhaustion. We used six swimming speeds to calculate vcrit for each subject in the flume. A strong correlation between dlim and tlirn (r 2 > 0.998) was found for every subject, so that the rela- tionship d~m = a+b x tlim, was remarkably linear (Fig. 1). Thus, it was possible to apply the concept of/)crit to swimming by substituting d~m and tlim in the equation (Wli m ~---a+ b x tlim) which was used to measure Wcrit in cycle ergometry (Moritani et al. 1981; Jenkins and Quigley 1990). The concept of AT rests on the notion that during sufficiently heavy exercise, the ability of the circulation to supply 02 may not be adequate to meet the meta- bolic 02 requirement of the muscles and, as a conse- quence, the aerobic energy supply is supplemented from the energy reserves available via anaerobic glyco- lysis with subsequent lactate accumulation (Davis et al. 1976). Moritani et al. (1981) have reported that the physiological significance of AT and Wcrit may well be similar since there was no signfiicant difference be- tween 1202,AT and Wcrit" 1202 and a high correlation between these two variables. Furthermore, Jenkins and Quigley (1990) have recently demonstrated that Wcrit was equivalent (with an error of only a few percent) to the maximal exercise intensity which can be maintained for up to 30 min. These data, together with the present finding of significant positive correlations between v~r~t and VO2.A-r, /3crit and VOBLA, and Pcrit and V4oo, seems to support the assumption that v~rit in the present study could be adopted as an index indicating swimming per- formance. Recently, numerous studies have found that blood lactate variables such as lactate threshold or OBLA ac- count for a large part of the variation in endurance per- formance. In fact, VOBLA calculated mathematically for each swimmer has been found to appraise performance and to establish training intensities (Maglischo et al. 1982; Skinner 1987). Furthermore, Olbrecht et al. (1985) have reported that the relationship between blood lactate concentration and v could be understood better if it were based on the results from the two-speed test (Mader et al. 1980). In the previous studies re- ported by Costill et al. (1985) and Ribeiro et al. (1990), there was little correlation between 1202max and per- formance in front crawl swimming over 365.8 m and 400 m. In the present study, an insignificant correlation between V4oo and VO2 . . . . and a significant correlation between V40o and VOBLA support their results. Further- more, a significant correlation was found between V4oo and VOz, Aa" as this parameter has a close physiological link with OBLA, suggesting that muscle respiratory ca- pacity is of primary importance in determining the ex- ercise intensity at which blood lactate begins to in- crease rapidly (Ivy et al. 1980). Our finding, i.e. significant correlation between VOBLA and V40o, is consistent with previous studies of male distance runners, indicating the importance of blood lactate variables in achieving success (Allen et al. 1985; Farrell et al. 1979; Kumagai et al. 1983; Tanaka et al. 1984, 1985). Moreover, using untrained women, Yoshida (1986) and Yoshida et al. (1987) have sug- gested that lactate variables may be more useful indices for endurance performance than other variables such as I202 . . . . the step test score, and predicted physical work capacity at a heart rate of 170 beats • min -1. Blood lactate concentration at a v of 100% vcrit for 4min in the lactate test ranged from 3.4 to 5.1 mmol-1-1 with a mean of 4.23 (SD 0.67) mmol. 1-1. This value agrees with the previous report by Heck et al. (1985), who have described that a maximal lactate steady-state, which has been defined as a maximal value of blood lactate without a sustained increase dur- ing exercise, was found at a lactate concentration value of 4.02 (SD 0.7) mmol. 1-1. However, it has been diffi- cult to determine blood lactate concentration after peri- ods of swimming training, because the athletes and 157 coaches have tended to refuse to allow blood to be sampled. The /)crit of this noninvasive method for esti- mating aerobic performance could therefore be used as a practical and useful measurement. In conclusion, it was found that the concept o f Wcrit could be appl ied to competitive swimming, and Ucrit ob- tained by this simple and inexpensive method could be adopted as an index for indicating swimming perform- ance. This investigation, however, has been done using a swimming flume. I f the concept of v~it could be ad- opted by using not only a swimming flume, but also a normal swimming pool, coaches and the swimmers could easily f ind a valuable index for assessing aerobic performance without employing highly expensive equipment. Acknowledgement: This work has been supported in part by a Grant-in-Aid from the Japanese Ministry of Education, Science and Culture (no. 02780110). References Allen WK, Seals DR, Hurley B, Ehsani AA, Hagberg JM (1985) Lactate threshold and distance running performance in young and old endurance athletes. 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