Maturity and growth of Paralonchurus brasiliensis females in
Transcrição
Maturity and growth of Paralonchurus brasiliensis females in
J. Appl. Ichthyol. 21 (2005), 94–100 2005 Blackwell Verlag, Berlin ISSN 0175–8659 Received: May 2, 2004 Accepted: September 26, 2004 Maturity and growth of Paralonchurus brasiliensis females in southern Brazil (Teleostei, Perciformes, Sciaenidae) By D. dos S. Lewis1 and N. F. Fontoura2 1 Pós-Graduação em Zoologia, UFPA, Curitiba; 2Laboratório de Dinâmica Populacional Aplicada a Ecossistemas Aquáticos, PUCRS, Porto Alegre, Brazil Summary Samples of Paralonchurus brasiliensis Steindachner, 1875 (627 females; no males) were taken monthly from June 1997 to May 1998 at the fishing pier of Cidreira – Rio Grande do Sul (3008¢S; 5011¢W) in southern Brazil. The fish were captured by sport fishermen using different sizes of hook-and-line. The reproductive period of P. brasiliensis extends from August to March, presenting greater activity from October to February. Females reach first maturation at 15.4 cm total length (TL). Of the 466 scales analyzed, one to six annuli were found. Growth annuli are formed between June and August, corresponding to the winter period (southern hemisphere), with the first visible annulus being formed when the fish are 1.5 years old. The length growth curve for P. brasiliensis females is described as: Lt ¼ 20.0 (1 ) e)0.564·t), TL in centimeters and age in years. The undersize asymptotic length may be a result of excessive fishing mortality on the studied population. Introduction Paralonchurus brasiliensis Steindachner, 1875 is a very common species along the Brazilian coast (distribution recorded from Panamá to Argentina). It is a coastal species, often found up to 100 m depth in sand or mud (Menezes and Figueiredo, 1980). According to Haimovici et al. (1996), P. brasiliensis is captured in 94% of all trawling along the Rio Grande do Sul coast up to 20 m depth, and in 76% of the trawling from 20 to 40 m depth. The species is captured throughout the year, although less frequently in winter. Distribution patterns of fish species along the Brazilian coast, mainly in the southern region, have been systematically studied over the past few years. The presence of different populations along the Brazilian coast has been suggested (Vazzoler, 1971; Vargas, 1976; Yamaguti, 1979). Two populations of P. brasiliensis were identified and named São Paulo (SP) and Rio Grande do Sul (RS), located north and south of 29S, respectively. During the winter when colder waters reach northern latitudes there is a spatial overlap between the RS and SP populations (Vargas, 1976; Paiva Filho and ZaniTeixeira, 1980). The reproductive period of the northern (SP) population of P. brasiliensis extends from August to December (Paiva Filho and Rossi, 1980). In the southern population (RS), a reproductive period from September to March has been recorded (Oliveira and Haimovici, 2001). The presence of mature ovaries over several months and a large range of egg diameters in a same individual point to P. brasiliensis as a partially multiple-spawning species (Paiva Filho and Rossi, 1980; U.S. Copyright Clearance Centre Code Statement: Oliveira and Haimovici, 2001). On larval surveys in Rio Grande do Sul, P. brasiliensis was the second most abundant species, representing 28.5% of all captured larvae. Larvae smaller than 3 mm were found from spring to autumn (Ibagy and Sinque, 1995). Size estimates at first maturation ranged from 14.8 to 18.0 cm (Vazzoler et al., 1973; Paiva Filho et al., 1976; Oliveira and Haimovici, 2001). Maximum recorded total lengths (TL) are 29 and 30 cm for P. brasiliensis (Menezes and Figueiredo, 1980; Kotas, 1998). Captures of P. brasiliensis ranging from 7.0 to 23.0 cm were made in the northern (SP) population, with a sex ratio displaced to female dominance (Vazzoler et al., 1973). Up to six growth annuli were observed in scales (Yamaguti et al., 1973). Braga (1990) estimated the asymptotic length (Linf) for the species (SP population) as 26.3 cm and the instantaneous growth rate (k) as 0.2736. Although Braga (1990) suggests a low fishing mortality of P. brasiliensis because of a non-directed fishing effort, important by-catch mortalities are reported for the southern population. Bottom-trawling fisheries directed toward the shrimp Xiphopenaeus kroyeri (Coelho et al., 1993) are responsible for teleost discards, mainly Sciaenids, of up to 95% (85.2% on average), with P. brasiliensis catch of up to 643 individuals h)1 (Kotas, 1998). In this paper, estimates of the reproductive period, size, and age at first maturation and growth curves are made for P. brasiliensis females in the southern distribution range. Comparisons with available growth information are made to assess if the population structure is being changed by the nondirected fishery effort. Material and methods Samples of P. brasiliensis (627 females; no males) were taken monthly from June 1997 to May 1998 from the fishing pier of Cidreira – RS (3008¢S; 5011¢W). The fish were captured by sport-fishermen using hook-and-line of different sizes and employing different bait (mainly Annelida: cf. Diopatra; Mollusca: Mesodesma mactroides; Crustacea: Emerita brasiliensis, Sergio mirim, Farfantepenaeus paulensis, Artemesia longinaris). Once captured, each fish was measured (TL; ±1 mm) and weighed (mechanical balance, ±0.1 g). Gonads were weighed in the laboratory on an analytical balance (±0.01 g). The ovaries were classified macroscopically as immature, maturing, mature, spent, or at rest. Size at first maturation was obtained through the relative frequency of adult females (maturating, mature, and spent) by size class as follows: 0175–8659/2005/2102–0094$15.00/0 www.blackwell-synergy.com Maturity and growth of Paralonchurus brasiliensis F ¼ 1=ð1 þ eaþbL Þ 95 ð1Þ where, F ¼ frequency of adult females for each length class interval; L ¼ pivotal point of each length class interval; a and b are parameters. The parameters a and b were estimated by least squares of the linearized form of the previous function: ln½ð1=F Þ 1 ¼ a þ b L ð2Þ The size at first maturation (L50) as the length in which 50% of the individuals joined the reproductive population was estimated as: L50 ¼ a=b ð3Þ where, a and b are the same parameters of the previous equation (2). The reproductive period was graphically determined by the variation of individual and mean values of the gonadosomatic index (GSI): GSI ¼ ðWg =W Þ 100 ð4Þ where, Wg ¼ gonad weight (g); W ¼ total weight (g). For analysis of the P. brasiliensis growth pattern, trials were made to identify growth annuli in otoliths and scales. As growth annuli were easily identified on scales without any special treatment, this structure was used for further analysis. Four to five scales from around the pectoral fin area as well as the ovaries were stored in plastic bags with 4% formaldehyde. The scales were permanently mounted on microscope glass slides. Scale reading was performed using a microfile machine (IEC MICROstar F 285). Measurements of the TL of each scale from the center to the left edge and from the focus to each opaque growth annulus were recorded. The morphometrical relationship between the fish total length (L, cm) and the scale total length (D, mm) was adjusted by a power function: L ¼ a Db ð5Þ where, a and b are the coefficients of the function. The function parameters ÔaÕ and ÔbÕ were estimated with logtransformation by least squares. The parameters were then used to estimate the corresponding fish total length (Li, cm) at the moment of each annulus formation (Di, mm): Li ¼ a Dbi ð6Þ For a range of Linf- and tf-values within acceptable biologically limits, the growth parameter k was estimated through the following equation: X k¼ f ln½1 ðLt =Linf Þ=ðti 1 þ tf Þg=n ð9Þ where, Lt ¼ estimated total length (cm) of each individual when forming scale annuli is related to age ti ) 1 + tf (years); n ¼ number of length to age data pairs. The best fit of the VBGF was then obtained with Linf- and tf-values that minimize the residual variance (S2): X ½fLinf ð1 ekðti 1þtf Þ Þ Lt g2 =ðn 1Þ ð10Þ S2 ¼ By log-transformation and least-squares method, parameters of the length/weight relationship were adjusted and applied on the length growth curve to estimate the weight growth curve. Longevity (A0.95), as defined by Taylor (1962), is the time for reaching 95% of the maximum average length (Linf), and estimated as follows: A0:95 ¼ 0:996=k ð11Þ Results The seasonal pattern of the GSI (Fig. 1) for P. brasiliensis females shows a long reproductive period. The median GSI in June and July represents only 1% of total body weight, beginning a process of gradual increase from August onward. From October to January the median ovary weight attains more than 4% of total body weight, indicating a period of greater reproductive activity. For the following months a falling pattern is observed until May, when average IGS reaches its minimal annual value. The maximum individual GSI was observed in November when the ovarian weight of one female reached 8.25% of the total weight. From August to March, females presenting GSI values >4% can be observed, which is the average GSI value for peak reproductive months and may be a possible criteria to define the limits of the reproductive period. Nevertheless, two females captured in June with GSI >4% suggests that some individuals may present an off-season reproduction. The smallest P. brasiliensis female accepted as an adult (maturing, mature, or spent) was a 14.5 cm individual. From 16.5 cm upwards, all females captured during reproductive months were recognized as adults. The mean length at first The growth curve length was adjusted following the von Bertalanffy (1938) model (VBGF): Lt ¼ Linf ð1 ekðtto Þ Þ ð7Þ kðti 1þtf Þ Lt ¼ Linf ð1 e Individual IGS 8.00 6.00 5.00 4.00 3.00 2.00 1.00 0.00 1 Þ ð8Þ where, ti ¼ number of scale annuli; tf ¼ time interval between Lt ¼ 0 to the first annulus formation. Median IGS 7.00 GSI (%) where, Lt ¼ mean total length (cm) at age t (years); Linf ¼ average maximum total length (cm); k ¼ instantaneous growth rate; to ¼ time parameter-related length at birth or recruitment. Linf- and k-values were estimated using the minimal residual variance method following Gonçalves and Fontoura (1999) and the MINIVAR file for Microsoft Excel (N. F. Fontoura, 2002, unpubl. data). To incorporate the age at first annuli formation, the von Bertalanffy (1938) formula was rewritten as: 9.00 2 3 4 5 6 7 8 9 10 11 12 Months Fig. 1. Gonadosomatic index (GSI) of Paralonchurus brasiliensis females captured at Cidreira fishing pier, Rio Grande do Sul, Brazil, between June 1997 and May 1998 96 D. dos S. Lewis and N. F. Fontoura 45 0.9 40 n = 151 0.8 Average distance from each annulus to the scale edge (mm) Frequency of adult females 1.0 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 12.5 13.5 14.5 15.5 16.5 17.5 18.5 Table 1 Number of captured Paralonchurus brasiliensis females showing one to six scale annuli by total length size-classes (hook-and-line capture at Cidreira fishing pier, southern Brazil) 0 0 0 0 0 1 0 2 2 8 17 13 9 4 56 19.36 20 15 10 Jun 0 0 0 0 0 0 0 0 0 2 3 4 6 3 18 19.88 0 0 0 0 0 0 0 0 0 0 0 1 3 1 5 20.52 maturation (L50, equation 10) for P. brasiliensis was estimated as 15.4 cm (Fig. 2). Scales from 466 females ranging from 12.4 to 23.6 cm TL were analyzed and measured. Up to six annuli (five individuals) were found, while the great majority presented two or three annuli. Table 1 shows the size frequency distribution of females presenting one to six annuli. An unusual growth data series can be observed, with animals with just one annuli attaining 16.6 cm and then growing almost linearly at rates ranging from 0.53 to 1.31 cm year)1 (average 0.78), with no age reduction pattern. A large overlap of the size range of females with different numbers of growth annuli is also clear. Even considering scale misreadings, the data set suggests great growth plasticity for individuals of the same age. Thus, when ÔagedÕ females did not fit the von Bertalanffy growth model, back-calculation trials were then made. Considering a seasonal growth cycle, new annuli are formed during periods of reduced growth. At that time, the average distance from the last annuli to the edge of the scale is reduced, since a new ring appears just within the external border of the scale. For P. brasiliensis, the mean distance from the last annulus to the edge of the scale for individuals with the same number of annuli indicates the period of opaque annulus Jul Aug Sept Oct Nov Feb Mar Apr May formation from June to August (Fig. 3). Annulus formation has an annual periodicity in all age-classes, although it is more evident in animals with just one annulus. 140 120 100 80 60 40 20 0 0.0 Annulus 1 n = 130 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 3.0 3.5 4.0 3.5 4.0 3.5 4.0 120 Annulus 2 100 80 60 40 Number of measurements 0 0 0 0 0 2 6 11 19 34 25 20 13 6 136 18.05 25 Fig. 3. Monthly variation of the distance from the last annulus to the scale edge of Paralonchurus brasiliensis females captured at Cidreira fishing pier, Rio Grande do Sul, Brazil, between June 1997 and May 1998 1 annulus 2 annuli 3 annuli 4 annuli 5 annuli 6 annuli 0 0 0 0 0 8 11 28 59 61 38 18 8 3 234 17.32 More than 2 annulus 30 0 Fig. 2. Relative frequency of adult Paralonchurus brasiliensis females (in maturation, mature, and spent) by total length classes. Reference lines from the maturation curve indicate L50, defined as the size at which 50% of the females attain sexual maturity. Fish captured at Cidreira fishing pier, Rio Grande do Sul, Brazil, between June 1997 and May 1998 9 0 10 1 11 0 12 0 13 2 14 7 15 17 16 26 17 25 18 22 19 22 20 4 21 2 22 2 Total 130 Average Lt 16.63 Annulus 2 5 19.5 Total length (cm) Lt (cm) Annulus 1 35 n = 234 20 0 0.0 100 0.5 1.0 1.5 2.0 2.5 Annulus 3 80 60 40 20 n = 136 0 0.0 0.5 1.0 1.5 2.0 2.5 3.0 30 Annulus 4 25 20 15 10 n = 56 5 0 0.0 0.5 1.0 1.5 2.0 2.5 3.0 10 Annulus 5 8 6 4 n = 18 2 0 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 Distance from the focus to the annulus (mm) Fig. 4. Frequency distributions of distances from the scale focus to each growth annuli of Paralonchurus brasiliensis females captured at Cidreira fishing pier, Rio Grande do Sul, Brazil, between June 1997 and May 1998 Maturity and growth of Paralonchurus brasiliensis 97 26 Fish total length (cm) 24 n = 603 22 20 18 16 14 12 10 1 1.5 2 2.5 3 3.5 4 4.5 Distance from the scale focus to the scale border (mm) Fig. 5. Relationship between fish total length and the distance from the scale focus to the scale edge of Paralonchurus brasiliensis females captured at Cidreira fishing pier, Rio Grande do Sul, Brazil, between June 1997 and May 1998 To evaluate the effects of selective capture with hook-andline sport fishing, we compared the mean distance from the focus to the first annulus in individuals with only one annulus (D1 ¼ 1.97 mm) to that of individuals with two or more annuli (D1 ¼ 1.38 mm). A significant difference was identified (t ¼ 13.57; P < 0.001), suggesting selective capture or selective mortality (Lee Phenomena). Working with the first hypothesis (selective capture), only individuals with two or more annuli were considered in back-calculation procedures. Frequency distribution of the distance from the focus to each scale annulus presents a mainly unimodal pattern (Fig. 4), although polymodality (annulus 2) or asymmetry (annuli 4 and 5) were also observed, suggesting interpretation errors in reading scales. To minimize the effects of scale misreading, we chose to use the pivotal point of the most frequent class interval instead of employing the mean values of all focus/annulus distances. Figure 5 shows the relationship between TL (Lt) and the distance from the focus to the edge of the scale (Dt). This relationship is described by the equation: L ¼ 9.22 ·D0.633 (r ¼ 0.796; n ¼ 603), showing a negative allometric growth of TL in relation to scales (or positive of the scales in relation to TL) as the allometric coefficient is significantly smaller than one (b ¼ 0.633 ± 0.0385). Table 2 summarizes growth data from direct measurement of females with ÔnÕ annuli and the estimated sizes from scale data through back-calculation (Li ¼ 9.22 D0:633 ). As can be i seen, very different growth stories can be told with different data sets. A direct comparison with data from the northern (SP) population (Yamaguti et al., 1973) suggests selective capture by hook-and-line because of the larger size of animals presenting one or two annuli. On the contrary, the compressed Table 2 Number of scale annuli, scale length and estimated total length (TL) of Paralonchurus brasiliensis females in southern Brazil range of lengths by back-calculation points to selective size mortality (Lee Phenomena). Using back-calculation data, considering a spring/summer reproduction and a winter annulus formation, different ages (tf) were simulated as the age of first annulus formation (Table 3). Best statistical results (little residual variance, S2, equation 10) were obtained when the estimated age of first annulus formation was 1.5 years. This result implies a lack of visible annuli from the first winter of life. Table 4 and Fig. 6 present the relationships between the estimated growth constant (k, equation 5), residual variance (S2, equation 6) and estimated longevity (A0.95, equation 7) for different values of the asymptotic length (Linf). It can be observed when the asymptotic length values increase from 19.0 cm that the residual variance values show a substantial decrease, reaching its minimum value (S2 ¼ 0.054) at the asymptotic length of 20.0 cm. From 20.0 cm on, the residual variance again has a relevant increase. Best fit is then obtained with an asymptotic TL of 20 cm, resulting in a growth constant (k) of 0.535 and a longevity (A0.95) of 5.6 years (67 months). Thus, the mathematical expression of the length growth curve is (TL in cm, age in years; Fig. 7): Lt ¼ 20.0(1 ) e)0.535·t). By using Yamaguti et al. (1973) data for the northern (SP) population of P. brasiliensis (Table 2, Fig. 7), best fit to the von Bertalanffy growth model (S2 ¼ 0.114) was either obtained when the average age of animals presenting just one annuli was 2 years old (first annuli formation at 1.5 years), resulting in an asymptotic length (Linf) estimate of 25.5 cm, growth constant (k) equal to 0.340 and longevity (A0.95) of 8.8 years. For growth pattern comparison, Fig. 7 also presents a plot of the von Bertalanffy growth curve as estimated by Braga (1990). The relationship between total weight (g) and TL (cm) is described by the equation (Fig. 8): Wt ¼ 0.00224 L3:52 t (r ¼ 0.98; n ¼ 627). According to the allometric coefficient of the weight/length relationship (b ¼ 3.52 ± 0.055), P. brasiliensis females present an allometrically positive growth. Applying the weight/length relationship to the length growth curve, the weight growth curve is then described by the equation (weight in g, age in years): Wt ¼ 85.1(1)e)0.535·t)3.52. Discussion No P. brasiliensis male was captured on the Cidreira fishing pier, suggesting a differential habitat occupation related to sex, males not being present in shallow waters (or at least not susceptible to hook-and-line). Haimovici (1998) pointed out that P. brasiliensis capture on the Brazilian southern continental shelf takes place in depths of up to 50 m, although with decreasing frequencies at trawling depths >20 m. Haimovici Number of scale annuli Average distance from scale focus to each annulus (mm) Estimated TL by back-calculation at moment of annuli formation (cm) Average female TL with ÔnÕ annuli (cm) Average female TL with ÔnÕ annuli (cm) according to Yamaguti et al. (1973), SP population 1 2 3 4 5 6 1.37 2.12 2.62 2.87 3.12 – 11.25 14.84 16.96 17.97 18.95 – 16.63 17.32 18.05 19.36 19.88 20.52 12.6 15.6–16.7 18.9–19.5 20.3–20.7 – 23.3 98 D. dos S. Lewis and N. F. Fontoura Table 3 Parameters of von Bertalanffy growth formulae for Paralonchurus brasiliensis females in southern Brazil and residual variance with different simulated ages for first annulus formation Linf (cm) k Residual Variance Longevity (A0,95, years) 0.5 1.5 2.5 19 20 22.5 1.170 0.535 0.294 5.175 0.054 0.306 2.6 5.6 10.2 20 Total length (cm) Age at first annulus formation (tf, years) 25 Mean total length of aged females according YAMAGUTI et al. (1973), SP population. Calculated length to age according BRAGA (1990), SP Population. Mean total length (our data) estimated by back-calculation at the moment of annuli formation. Estimated von Bertalanffy growth curve from our data. 15 10 5 Longevity estimate defined as the time (years) to attain 95% of the asymptotic length. Data that result in the best fit are printed in bold italics. 0 0 1 2 3 4 5 6 7 8 Age (years) Table 4 Parameters of von Bertalanffy growth formulae for Paralonchurus brasiliensis females in southern Brazil and residual variance with different simulated asymptotic lengths and first annulus formation at age 1.5 years Linf (cm) k Residual variance Longevity (A0.95, years) 19 20 21 22 23 24 25 26 27 28 0.714 0.535 0.465 0.417 0.380 0.350 0.325 0.303 0.285 0.269 1.446 0.054 0.518 1.266 2.169 3.167 4.224 5.315 6.422 7.533 4.2 5.6 6.4 7.2 7.9 8.6 9.2 9.9 10.5 11.1 Fig. 7. Length growth curve of Paralonchurus brasiliensis females captured at Cidreira fishing pier, Rio Grande do Sul, Brazil, between June 1997 and May 1998. For comparison purposes, age to length data available in the literature is also presented 180 Fish total weight (g) 160 140 n = 627 120 100 80 60 40 20 0 10 0.9 8 0.8 7 0.7 6 0.6 5 0.5 4 0.4 3 0.3 0.2 0.1 Variância residual 2 k (annual) 1 Longevity (A0.95) k (annual) – Residual variance Longevity estimate defined as the time (years) to attain 95% of the asymptotic length. Data that result in the best fit are printed in bold italics. Longevidade (A0.95) 0 18.5 19.0 19.5 20.0 20.5 21.0 21.5 22.0 0 22.5 Asymptotic total length (cm) Fig. 6. Estimated values of the growth constant (k), longevity (A0.95) and residual variance in relation to simulated values of the asymptotic lengths (Linf) of Paralonchurus brasiliensis females. Data from fish captured at Cidreira fishing pier, Rio Grande do Sul, Brazil, between June 1997 and May 1998. Parameters adjusted by MiniVar file (Microsoft Excel, N. F. Fontoura, 2002, unpubl. data) (1998) did not mention the species sexual proportion as a function of depth levels, thus this aspect of P. brasiliensis biology deserves further investigation. An interesting pattern relative to the reproductive period of P. brasiliensis came from a comparison of the present study with previous studies. On northern populations (SP population), the estimated reproductive period of the species is from July to September (Vazzoler et al., 1999) or from August to December (Paiva Filho and Zani-Teixeira, 1980). For the 12 14 16 18 20 22 24 26 Fish total length (cm) Fig. 8. Weight/length relationship of Paralonchurus brasiliensis females captured at Cidreira fishing pier, Rio Grande do Sul, Brazil, between June 1997 and May 1998 southern population (RS population) Oliveira and Haimovici (2001) identified, by GSI monthly variation, a reproductive period from September to March, very similar to the pattern of the present work. Considering an annual cycle, populations closer to the equator usually start to reproduce first; this may also be the case with P. brasiliensis. Nevertheless, a longer reproductive period for populations at higher latitudes is not the usual pattern rule for species with extended latitudinal ranges. A longer reproductive period in the southern population of P. brasiliensis is also corroborated by the presence of larvae (<3 mm) in spring, summer, and autumn (Ibagy and Sinque, 1995). These results indicate the necessity for new comparative studies between northern (SP) and southern (RS) populations of P. brasiliensis, as the selective forces driving the reproductive biology of both populations are quite different. Available information (Paiva Filho and Zani-Teixeira, 1980; Vazzoler, 1999) indicate that P. brasiliensis start to reproduce first in the northern population, possibly due to high water temperatures. On the contrary, increased natural productivity on the Rio Grande do Sul coast, because of subtropical convergence and summer upwelling (Garcia, 1998), may be contributing to an extended reproductive period of the southern population. Opaque growth annuli in P. brasiliensis scales are formed in the winter, between July and August. Such a pattern is frequent for fish of temperate regions, being related to a decrease in the growth rate because of low temperatures. The von Bertalanffy growth function applied to aged animals Maturity and growth of Paralonchurus brasiliensis (Yamaguti et al., 1973) and back-calculation from scale annuli (our data) of P. brasiliensis resulted in best fit (minimum residual variance) when the age of the first annuli was simulated at 1.5 years. For most of the temperate species, annuli start to be formed in the first winter, although Lentsch and Griffith (1987) had reported a lack of first-year annuli on scales of salmonids. The largest specimen of P. brasiliensis captured off the Cidreira fishing pier was a female of 23.6 cm TL presenting five annuli in the scales. Although 29 and 30 cm TL had been recorded (Menezes and Figueiredo, 1980; Kotas, 1998), according to Vazzoler et al. (1973) and Braga (1990) through the analysis of commercial fishery data both from São Paulo and Rio Grande do Sul populations, no individuals larger than 25 cm were captured. Available literature points out that the estimated value of 20 cm for the asymptotic length is clearly undersized. This pattern can result from back-calculation when there is size selective mortality (Lee Phenomena), when due to natural causes, or more frequently due to fishery, there is an increased mortality of the larger fish of the same age-group. This may be the case for the P. brasiliensis southern population as a result from by-catch mortality as reported by Kotas (1998). Estimates of size at first maturation were similar in several papers: 15.7 (SP pop., Vazzoler et al., 1973); 14.8 (RS pop., Paiva Filho et al., 1976), 16.8 (RS pop., Oliveira and Haimovici, 2001), and 15.4 cm (present work). The largest discrepancy was obtained by Paiva Filho et al. (1976) for the northern population, where females presented an estimated 18.0 cm mean size at first maturation. Comparing size at first maturation with age and growth data (Table 2; Fig. 7), P. brasiliensis starts reproduction in the spring when completing 3 years of life (two growth annuli, estimated TL from 14.7 to 16.3 cm on the three different growth curves). This pattern does not apparently differ from other South Atlantic sciaenids, as reported by Haimovici (1997); maximum sizes (inside parentheses) recorded by Menezes and Figueiredo, 1980: Micropogonias furnieri (60 cm) and Cynoscion striatus (50 cm), 3 years; Umbrina canosai (40 cm), 2 years; and Macrodon ancylodon (45 cm) at 1 or 2 years. The problem is that species that first reproduce at 3 years are significantly larger than P. brasiliensis; other larger species seem to reproduce even earlier. Furthermore, why start to reproduce at 3 years when maximum recorded age is 6–7 years and longevity (A0.95) is estimated as 5.6 years? The explanation might be associated with a remarkable fecundity increase related to female size, so that delaying reproduction for 1 year can be overcompensated by more egg production the following year. Paiva Filho and Rossi (1980) reports the fecundity/length relationship for the species, fecundity increasing at a power of 5.3. This figure suggests that for P. brasiliensis it could be an advantage to reproduce later, saving energy to grow and reducing mortality related to reproductive stress, compensating delayed maturation by increased egg production. This hypothesis nevertheless remains to be confirmed, since a direct analysis of fecundity was not done in the present work. Paralonchurus brasiliensis presents a sexually related distribution pattern, with males not being captured near the shoreline. The southern population has a long reproductive period, from August to March, with greater activity from October to February. Scale annuli formation is annual and occurs during the winter, the first visible annuli being formed at age 1.5 years. The estimated asymptotic length (Linf) as 20 cm and instantaneous growth rate (k) as 0.535 are probably 99 biased as a result of size-related fishing mortality (Lee Phenomena). A maximum of six growth annuli was found on scales; longevity A0.95 was estimated as 5.6 years. Females reach first maturation with 15.4 cm, presenting two annuli on the scales and a presumed age of 3 years. Acknowledgements The authors thank Dr Manuel Haimovici and Dr Jorge P. Castello for their valuable suggestions to the present work. Thanks also to the staff of the Cidreira fishing pier for their cooperation and incentives during this research. References von Bertalanffy, L., 1938: A quantitative theory of organic growth (inquiries on growth laws). Human Biol. 10, 79–102. Braga, F. M. 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M.; Kawakami, E., 1973: Estudo preliminar sobre o ciclo de vida dos Sciaenidae: Parte I. Composição da população em classes de comprimento e aspectos D. dos S. Lewis and N. F. Fontoura da roprodução. Publ. Esp. Inst. Oceanogr. de São Paulo 3, 242– 291. Yamaguti, N., 1979: Diferenciação geografica de Macrodon ancylodon (Bloch & Schneider, 1801) na costa, entre as latitudes 1836¢S e 3210¢S. Etapa I. Bol. Inst. Oceanogr. São Paulo 28, 53–118. Yamaguti, N.; Zaneti, E. M.; Kawakami, E., 1973: Estudo preliminar sobre o ciclo de vida dos Sciaenidae: Parte I. Composição da população em classes de comprimento e aspectos do crescimento. Publ. Esp. Inst. Oceanogr. São Paulo 3, 293–306. Author’s address: Nelson Ferreira Fontoura, Laboratório de Dinâmica, Populacional Aplicada a Ecossistemas Aquáticos, PUCRS – Av Ipiranga 6681, Porto Alegre, RS, CEP 90619-900, Brazil. E-mail: [email protected]