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        Perciformes: Gerreidae
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1.    Most  of these organisms were young individuals and their sex was undetermined  284 individ   uals   of the samples that could be sexed  64 were females and 46 were males    Biometric relationships  The maximum value of TL was 28 6 cm and the minimum  was 9 1 cm  with a difference of 19 5 cm  Table 1      Total weight varied from 19 9  g to  362 6 g  Mode was higher than average  in the length cases  that is  in total  TL   stan   dard  SL  and height  D  lengths of the body  implying a data distribution with positive  asymmetric trend  also with more values higher than the mode  In the case of weight  the  modes are lower than the averages    Age validation  The sampled organisms were used to calculate values of each age   Gallardo Cabello et al   in press   for age 1   10 00 cm  age 2   15 00 cm  age 3    19 00cm  age 4   23 00 cm  age 5   26 00 cm and age 6   29 00 cm  These results    are further analyzed in this study     Table 1  Summary of size values of the measured variables from Diapterus brevirostris   TL  cm  SL  cm  D  cm  TW  8  EW  g    Average 14 8 10 6 5 5 46 1 42 0  Maximum 28 6 21 0 10 6 362 6 310 4  Minimum 9    4 7 3 8  9 9 18 5  Mode 15 0 11 0 6 0 34 6 32 7  SD 1 9 1 4 0 8 26 0 22 9   n 394    TL   total length  SL standard length  D  height or body depth  TW  total weight and  EW  eviscerated weight     2    gt  AVANCES EN INVESTIGACI  N AGROPECUARIA  Gallardo Cabello et al  Ala  2014  18 2   27 40  Issn 0188789 0    Revista de investigaci  n y difus
2.    Reproduction  of Mugil curema  Pisces  Mugilidae  from the Cuyutl  n lagoon  in the Pacific coast of M  xico  Avances  de Investigaci  n Agropecuaria 14 3  19 32    Cabrera Pe  a  J   Solano L  pez  Y  and Mora Hern  ndez  M   1996   Crecimiento de Diapterus peruvianus   Pisces  Gerreidae  en los estuarios de los r  os Damas y Palo Seco  Costa Rica  Revista de Biolog  a  Tropical 44 2  935 937    Castro Aguirre  J  L   1978   Cat  logo sistem  tico de los peces marinos que penetran a las aguas continentales  de M  xico  con aspectos zoogeogr  ficos y ecol  gicos  Depto  Pesca  INP Serie Cient  fica No  19   298 pp    Castro Aguirre  J  L   Espinosa P  rez  H  S  y Schmitter Soto  J  J   1999   Ictiofauna estuarino lagunar y  vicaria de M  xico  Serie Biotecnolog  as  IPN y Ed  Noriega Limusa  711 pp    Claro  R  and Garc  a Arteaga  J  P  2001   Growth Patterns of Fishes of the Cuban Shelf  In  Ecology of the  Marine Fishes of Cuba  Claro  R   Kindeman  K  C  and Parenti  L  R   Eds    Smithonian Institution  Press  Washington  D  C   USA   pp  149 178    De la Cruz Ag  ero  J   Garc  a Rodr  guez  F  J   Cota G  mez  V  M   Chollet Villalpando  J  G  and Vergara   Solana  F  J   201 1   Length weight relations of selected species of the family Gerreidae  Actinopterygii   Perciformes  from the Mexican coast  Acta Ichthyologica et Piscatoria 41 1   67 69    Espino Barr  E   Gallardo Cabello  M   Garc  a Boa  A   Cabral Sol  s  E  G  and Puente G  mez  M    2006   Morphologi
3.  investigaci  n y difusi  n cient  fica agropecuaria    Analysis of length frequency  Observed values of TL ranged from 9 1 cm to 32 0  cm  May  June and December have the smallest individuals and June the largest  Fig   3   The results of length at each age are shown in lable 3  these values are similar to  those obtained by otoliths rings growth analysis  Observed TL for each age obtained with  ELEFAN s method showed lower values from ages one to three  and higher values for  ages four to six  Growth parameters for TL were  L    49 45 cm  K   0 140 years     and t    0 492  Rn   307   The sum of square errors  SSE  between observed values  from otoliths and data obtained by ELEFAN was SSE   9 41     Figure 3  Length frequency and growth curve of Diapterus brevirostris by ELEFAN method     30    cL    N        rhn   h  MIS LLL  an  IL   i  than   i    Length  cm      h  al    0     Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec    2011    Analysis of otoliths  Analysis of the sagittae and asterisci otoliths allowed the identifi   cation of 6 age groups  Growth parameters obtained by Ford Walford Gulland method for  TL were  L    48 61 cm  K  0 135 years     t    0 696  Growth parameters obtained  by solver iterative process did not give a better fit of the calculated equation obtained from  the otoliths readings  the values of the constants of von Bertalanffy growth equation were  the same as those obtained from the Ford Walford Gulland methods    Growth from one age to the
4.  next was 9 97 cm from age 0 to age 1  4 89 cm from  age l to age 2  4 27 cm from ages 2 to 3  3 73 cm from ages 3 to 4  3 26 cm from ages  4 to 5  and 2 85 cm from ages 5 to 6  Figure 4 shows the growth curve of D  brevirostris  according to von Bertalanffy s method     AVANCES EN INVESTIGACI  N AGROPECUARIA   33  Gallardo Cabello et al  Ala  2014  18 2   27 40  IssN 0188789 0    Growth of the Shortnose Mojarra Diapterus brevirostris       Figure 4  Von Bertalanffy s growth curve in length for Diapterus brevirostris  by Ford Walford Gulland  F W G  with otolith readings  and by length frequency with ELEFAN methods        0 135 t 0 696   TL mo   48 61  l e 2130 069     TL   49 45  1 P DONEO     ELEFAN         Total Lenght  cm        0 2 4 6 8 10  Age  years     O Observed            F W G    X    ELEFAN    The sum of square errors  SSE  between observed and calculated data by Ford Wal   ford and Gulland was SSE   6 321    Growth in weight     The growth index value of the weight length equation was isometric   b  2 997 with total weight data and b   2 962 with eviscerated specimens  lable 2     Theoretical growth in weight  Values of calculated TW and EW have a slow growth  during the first years of age  starting at 13 g and 12 g  Table 3  Fig  5   After age 3 there  Is an important increment in the growth rate  The calculated asymptotic total weight was  Wt    1 507 9 g and the eviscerated asymptotic weight We    1 348 5 g     Longevity  Age A       D  brevirostris reached 9
5. 5  of its infinite length L   in 21 5  years     34    AVANCES EN INVESTIGACI  N AGROPECUARIA    Gallardo Cabello et al  Ala  2014  18 2   27 40  IssN 0188789 0    Revista de investigaci  n y difusi  n cient  fica agropecuaria    Table 3    Observed and calculated values of total length  cm  and total  IW     and eviscerated  EW  weight  g  for each age group  years     of Diapterus brevirostris     ELEFAN EW Solver   56 49 45 48 61 48 61   K 0 140 0 135 0 135  a  0 492  0 696  0 696  Age Observed ELEFAN FW Solver   years   c  m  sd   cm   cm   cm     10 00  x 1 172  9 32 9 97 9 97   2 15 00  x 1 119  14 56 14 86 14 86   3 19 00    0 813  19 12 19 13 19 13  4 23 00    0 873  23 08 22 87 22 87   5 26 00 26 53 26 12 26 12   6 29 00 29 52 28 97 28 97   7 32 12 31 46 31 46   8 34 39 33 63 33 63   9 36 36 35 52 35 52     g     44   94  160  237  323  413  503  593    EW   g     40   85  144  214  291  272  453  535    AVANCES EN INVESTIGACI  N AGROPECUARIA      Gallardo Cabello et al  Ala  2014  18 2   27 40  Issn 0188789 0    35    Growth of the Shortnose Mojarra Diapterus brevirostris       Figure 5  Von Bertalanffy s growth curve in total  and eviscerated weight for Diapterus brevirostris   700  TW  1 507 9  l e  0 1330 0 626 12 977  600 EW  1 348 5  l e  0 135  0 626 72 962 a    500    Weight  g       NO v A  cs os o     e e  CO le             Age  years   EW         TW    Discussion    Using commercial catch individuals for the growth study of this species can have been  bias
6. 88789 0    Revista de investigaci  n y difusi  n cient  fica agropecuaria    The values obtained with the length frequency analysis were similar to those found by  the identification of growth rings in the sagittae and asterisci  which render age determination  of D  brevirostris valid with both methods  and validating each other  Joseph  1962   The  differences emerged are because of the methods used  a direct and an indirect approach    Related to the growth parameters calculations done by other authors  Cabrera Pe  a et  al   1996  studied D  brevirostris in estuarine waters of two rivers  Damas and Palo Seco  in Costa Rica and found a higher value of the index K     0 26  using Allen s method   and K   0 293  applying Tomlinson and Abramson   s method  and therefore a low as   ymptotic length L_   31 9 cm and L      32 3  respectively  Because of these K values   the species would reach L faster and would have a maximum longevity of 11 1 years and  10 2 years  respectively    The differences found in the parameter values by Cabrera Pe  a et al   1996  for this  species in Costa Rica  lable 4   are related with what Taylor  1958  1960  considers  that  is  the same species living in lower latitudes and higher temperatures will present higher  values of the catabolic index K and will achieve smaller lengths of L_  and therefore lower  longevities     Table 4    Growth parameters of the von Bertalanffy equation for Diapterus brevirostris  obtained by different authors  longe
7. Growth of the Shortnose Mojarra Diapterus  brevirostris  Perciformes  Gerreidae   in Central Mexican Pacific    Crecimiento de la malacapa Diapterus brevirostris   Perciformes  Gerreidae  en el Pac  fico centro mexicano    Manuel Gallardo Cabello   Elaine Espino Barr    Esther Guadalupe Cabral Sol  s   Arturo Garc  a Boa   y Marcos Puente G  mez     Abstract    Samples of Shortnose Mojarra Diapterus brevi   rostris were obtained from the commercial catch  from April 2010 to July 2012  morphometric  data of 394 individuals were registered  The  growth study entailed two methods  length fre   quency analysis and study of sagittae and as   terisci otoliths  Both methods identified six age  groups  Growth parameters of von Bertalanffy   s  equation were determined by Ford Walford and  Gulland methods and by ELEFAN routine ad   justment  Both methods gave the same results   L   48 61 cm  K  0 135  t    0 696  Mean  size for each age was  age     9 97 cm  age 2   14 86 cm  age 3  19 13 cm  age 4  22 87  cm  age 5    26 12 cm and age 6  28 97 cm   The allometric index from the weight length  relationship was isometric and b  2 977  the  longevity was of 21 5 years  The growth ring is      Instituto de Ciencias del Mar y Limnolog  a  Universidad Nacional Aut  noma de M  xico  Av  Ciudad Universitaria 2000  Col  Copilco  M  xico  D  F   C  P  04360       INAPESCA  CRIP Manzanillo   Playa Ventanas s n   Manzanillo  Colima  C P  28200     Tel   814  332 3750      Corresponding author  e
8. Gulland    s method  1964  and were  adjusted by convergent iterations with Newton  s algorithm in the solver program of Excel  software  Microsoft  1992   The lowest value of a sum of the squared error determined  the best adjustment    AVANCES EN INVESTIGACI  N AGROPECUARIA   29    Gallardo Cabello et al  Ala  2014  18 2   27 40  IssN 0188789 0    Growth of the Shortnose Mojarra Diapterus brevirostris       The function W   aL  gt  was used  where W   weight  L   length  to obtain the  weight length relationship  and a t  student test indicated allometry  Zar  1996   The  same function was also used to describe  Lvs SL and D relationships  where the regres   sion coefficient or slope b tends to 1  describing an isometric growth with those variables     Growth data for length  and weight length relationships were used to obtain the weight    at each age  Weight growth was obtained by substituting TL and L  by TW and W   in the von Bertalanffy  s equation  1938    Iaylor s equation  1958  1960  was used  to calculate the age limit or longevity  95  of the L   P   In  1 0 95    K   E     To compare the growth parameters of von Bertalanffy s equation obtained in this study  with those from other authors  growth performance index or phi prima test was estimated     Pauly  1979    phi      log K   2 log L_    Results  Sample  From April 2010 to July 2012  394 organisms of Shortnose Mojarra Diapterus    brevirostris were sampled in the Cuyutl  n Lagoon  Manzanillo  Colima  M  xico
9. Issn 0188789 0    Growth of the Shortnose Mojarra Diapterus brevirostris       Gonz  lez Acosta  A  F   De la Cruz Ag  ero  G  and De la Cruz Ag  ero  J   2004   Length weight  relationships of fish caught in a mangrove swamp in the Gulf of California  M  xico   Journal of Applied  Ichthyology 20 154 155    Gonz  lez Acosta  A  F   B  arez  P    lvarez Pliego  N   de la Cruz Ag  ero  J  and Castro  Aguirre  J  L    2007   On the taxonomic status of Diapterus peruvianus  Cuvier  1830  and reinstatement of Diapterus  brevirostris  Sauvae  1879   Teleostei  Gerreidae   Cybium 31 3  369 377    Gulland  J  A   1964   Manual of methods of fish population analysis  FAO Fisheries Technical Paper 40  1 60    labal  K M   Masuda  Y   Suzuki  H  and Shinomiya  A   2006   Age and growth of the Japanese Silver   biddy  Gerres equulus  in western Kyushu  Japan  Fisheries Research 77  1  45 52    Joseph  D  C   1962   Growth characteristics of two Southern California Surffishes  the California corbina  and spotfin croaker  Family Sciaenidae  The Resources Agency of California  Department of Fish and  Game  Fishery Bulletin 119 1 54    Kanak  M  K  and Tachihara  K   2006   Age and growth of Gerres sp   Perciformes  Gerreidae  in  Okinawa Island of Southern Japan  Fisheries Science 72 932 938    Microsoft   1992   Manual de usuario  Referencia de funciones  Microsoft Excel Versi  n 4 0 para Windows   702 pp  Microsoft Corporation USA  Redmond    Pauly  D   1979   Theory and management of tro
10. al Sol  s  E  G  and Puente G  mez  M   2006    Morphologic and morphometric analysis and growth rings identification of otoliths  sagitta  asteriscus and  lapillus of Caranx caballus  Pisces  Carangidae  in the coast of Colima  Mexico  International Journal of  Zoological Research 2 1  34 47    Gallardo Cabello  M   Espino Barr  E   Garc  a Boa  A   Cabral Sol  s  E  G  and Puente G  mez  M    2007   Study of the growth of the green jack Caranx caballus G  nther 1868  in the coast of Colima   Mexico  Journal of Fisheries and Aquatic Science 2 2  130 139    Gallardo Cabello  M   Espino Barr  E   Nava Ortega  R  A   Garc  a Boa  A   Cabral Sol  s  E  G  and  Puente G  mez  M   2011   Analysis of the otoliths of sagitta  asteriscus and lapillus of Pacific sierra  Scomberomorus sierra  Pisces  Scombridae  in the coast of Colima  Mexico  Journal of Fisheries and  Aquatic Science 6 4  390 403    Gallardo Cabello  M   Espino Barr  E   Cabral Sol  s  E  G   Puente G  mez  M  and Garc  a Boa  A   in  press   Study on the otoliths sagitta  asteriscus and lapillus of shortnose mojarra Diapterus brevirostris   Pisces  Gerreidae  in the Cuyutlan lagoon  Colima  M  xico  Revista de Biolog  a Marina y Oceanograf  a   Gayanilo  F  C   Sparre  P  and Pauly  D   1994   The FAO ICLARM Stock Assessment Tools  FISAD   user s guide  FAO Computarized Information Series Fisheries 6 1 186  FAO  Roma     AVANCES EN INVESTIGACI  N AGROPECUARIA    39    Gallardo Cabello et al  Ala  2014  18 2   27 40  
11. and Sivashanthini   2011   In Gerres cinereus  1t has been calculated a K   0 34    lvarez Hern  ndez   1999   K   0 65  Claro and Garc  a Arteaga  2001     Differences found in the values of the growth parameters of the von Bertalanffy  equation are determined by the environmental conditions such as latitude  temperature   salinity  among other  Taylor  1958  1960   The pressure of the fishing activity has also  an influence  1f there is overfishing  the older age groups will disappear  Espino Barr et    al   2010  Gallardo Cabello et al   2011      Conclusions    This study shows the age and sex composition  growth index and longevity of the Short   nose Mojarra Diapterus brevirostris in the Mexican Central Pacific  This information   together with studies of reproduction will allow the management of the fishery by sug   gesting fishing gears such as size of the mesh opening  closed seasons to the fishing  catch  quotas  which will avoid the overexploitation of the natural resources    The growth ring marked during the months of spring  and the calculated birthday   also calculated in this season are due to metabolic factor  as a result of the changes in the  currents near the coast line of the central Mexican Pacific    The analysis of growth of the Shortnose Mojarra Diapterus brevirostris by several  methods strengthens the calculated parameters  and assures the use of these results in the  fisheries research     Acknowledgments    We are thankful to the fishers who obtai
12. c and morphometric analysis and growth rings identification of otoliths  sagitta   asteriscus and lapillus of Caranx caninus  Pisces  Carangidae  in the coast of Colima  Mexico  Journal  of Fisheries and Aquatic Science 1  2  157 170    Espino Barr  E   Cruz Romero  M  y Garcia Boa  A   1998   Edad y crecimiento del huachinango Lutjanus  peru  Nichols y Murphy  1922   en la costa del estado de Colima  M  xico  Avances de Investigaci  n  Agropecuaria 7  1  040 051    Espino Barr  E   Gallardo Cabello  M   Cabral Sol  s  E  G   Garc  a Boa  A  and Puente G  mez  M    2008   Growth of the Pacific jack Caranx caninus  Pisces  Carangidae  from the coast of Colima   M  xico  Revista de Biolog  a Tropical 56 1  171 179    Espino Barr  E   Gallardo Cabello  M   Granados Flores  K   Cabral Sol  s  E  G   Garc  a Boa  A  and  Puente G  mez  M   2010   Growth analysis of Microlepidotus brevipinnis from the Pacific coast of Jalisco   Mexico  Journal of Fisheries and Aquatic Science 5 293 303    Espino Barr  E   Gallardo Cabello  M   Cabral Sol  s  E G   Puente G  mez  M  and Garc  a Boa  A    2013   Otoliths analysis of Mugil curema  Pisces  Mugilidae  in Cuyutlan Lagoon  Mexico  Avances  en Investigaci  n Agropecuaria 17 1  35 64    Ford  E   1933   An account of the herring investigations conducted at Plymouth during the years from 1924  to 1933  Journal of the Marine Biological Association of the United Kingdom 19 305 384    Gallardo Cabello  M   Espino Barr  E   Garc  a Boa  A   Cabr
13. ed due to the different fishing gears used to fish  Nevertheless the sample had a large  distribution of lengths and ages    The relationship between standard and total length showed an isometric growth  Data  of the relationships between total length and height  Iable 2  show a higher tendency to  positive allometry  This tendency is even higher in males than females  and with all the  individuals it was average  Table 2   In the case of the relationships between total weight  and total length  an isometric growth is observed  for the species and for both sexes  that  is  the organisms grow in the same proportion in weight than in length throughout their  life cycle  Table 2   Gonz  lez Acosta et al   2004  report for this species a value of the  alometric index of the weight length relationship of b     2 21 in the Gulf of California   M  xico  Similarly  de la Cruz Agiiero et al   2011  found a value of b   3 21  95   Confidence Interval from 3 18 to 3 24     Each year a band of fast and slow growth are deposited on the otoliths sagittae and  asterisci  allowing the use of this structure to estimate age of D  brevirostris and its growth   This has also been found in other tropical species  where scales are not present  Gallar   do Cabello et al   2006  2007  201 1  Espino Barr et al   2006  2008   allowing a good    assessment of ageing  not always possible with scales     26 s AVANCES EN INVESTIGACI  N AGROPECUARIA  Gallardo Cabello et al  Ala  2014  18 2   27 40  Issn 01
14. el  where the adjustments of data from females and males can   t be differentiated     AVANCES EN INVESTIGACI  N AGROPECUARIA   3   Gallardo Cabello et al  Ala  2014  18 2   27 40    Issn 0188789 0    Growth of the Shortnose Mojarra Diapterus brevirostris       Figure    Observed data and weight length relationship  by potential model with data of Diapterus brevirostris     350  300  250  200    150    Eviscerated Weight  g     100    50       0 5 10 15 20 25 30 35  Total lenght  cm     OEW              cakal          calc f     calc m    Note  for the species calc all   all the organisms  calc f   females and calc m   males     Time of growth rings formation of the slow and fast growth bands  Diapterus brevirostris  showed that a higher percentage of sagittae and asterisci otoliths with fast growth borders  occur from September to February  while the highest percentage with slow growth bands  otoliths in the borders were observed from March to August  n   180   Fig  2      Figure 2  Monthly frequency of growth borders in Diapterus brevirostris sagittae     100   90   80   70   60   50   40   30   20   10    0              Frequency                                                                            Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec    Months  Hyaline Opaque                            Hyaline   slow growth  Opaque   fast growth     32  gt  AVANCES EN INVESTIGACI  N AGROPECUARIA  Gallardo Cabello et al  Ala  2014  18 2   27 40  Issn 0188789 0    Revista de
15. erentes m  to     dos es un resultado robusto para la aplicaci  n  Keywords de modelos de pesquer  as   Otoliths  length frequency distribution  von A hs  Bertalanffy  growth equation  growth in weight   longevity  Otolitos  distribuci  n de frecuencia de longi   tud  von Bertalanffy  ecuaci  n de crecimiento     crecimiento en peso  longevidad     Introduction    hortnose Mojarra Diapterus brevirostris  Sauvage  1879  used to be named Peruvian   Mojarra D  peruvianus  Cuvier  1830   Gonz  lez Acosta et al   2007   Its common   name  Peruvian Mojarra has also been changed for Shortnose Mojarra  pers  com   H  ctor Espinosa P  rez   It is distributed in the Eastern Pacific from southern part of the  Gulf of California to Peru  Its habitat is near shore on sandy bottoms  Juveniles penetrate  brackish coastal lagoons  The species is mainly carnivorous  it consumes small benthonic  invertebrates and fish  also small amounts of algae matter  Castro Aguirre  1978  Allen  and Robertson  1994  Bussing  1995  Castro A guirre et al   1999     This species is an important fishery resource  caught by gill nets and cast nets by arti   sanal fishers  although it is not the target species  During 201 1 the production in M  xico  of this resource was 62 thousand tons  the fishery in the Pacific coast contributes with 6296  of the total catch  and Colima registered 345 t  1  of the Pacific production according to  SAGARPA  2011   The price at the market is of  30 00 Mexican pesos   2 30 US  d
16. i  n cient  fica agropecuaria    Data of the relationships between length  maximum height and weight were highly  significant  with i   gt  0 85  P  lt  0 05   Table 2   There were no statistical differ     ence between sexes with size data  P  lt  0 05   that is  between females and males    cd    0 05  2  109   3 929       1 269   The slopes of the relationships between lengths  IL  and    SL  were not statistically different to one  but the slopes of the relationships between Lt    and maximum height  He  were statistically different to one  positive allometric  Those  between TL and TW and EW were isometric  not different to three     Morphometric relationships of the variables from Diapterus brevirostris     TL vs SL    a    TL vs EW    a  b  e  F    n    Species    0 701  1 009  0 932  5 337 0    0 265  1 125  0 892  3 230 1    0 014  2 941  0 931  5 291 4    0 014  2 962  0 925  4 811 0  394    Females    0 667  1 029  0 973  22109    0 290  1 081  0 948  1 1522    0 010  3 104  0 977  2 614 7    0 011  3 037  0 958  1 407 1  64    Males    0 687  1 019  0 984  2 791 8    0 182  1 256  0 961  1 071 5    0 012  3 060  0 951  852 2    0 010  3 063  0 952  869 5  46    TL   total length  SL standard length  D height  TW  total weight and EW     eviscerated weight  a      Y intercept  b   regression coefficient or slope  r    coefficient of determination  F   statistic test     Figure 1 shows the scatter diagram of the relation weight length  adjusted by the potential  mod
17. ied out  Zar  1996     The length frequency distribution was analyzed with the ELEFAN program of the  FISAT package  Gayanilo et al   1994  Sparre and Venema  1995  to obtain the aver   age length of corresponding to each age group  This method uses a goodness of fit index  called Rn on a response surface  where the maximum value indicates the best combination  of growth parameters    The time of the growth ring formation was determined  observing whether the borders  had slow or fast growth rings  In every case  otoliths were observed by transparency with  transmitted light  Gallardo Cabello et al   in press   the hyaline  translucent  zone corre   sponds to the slow growth band and the opaque zone to the fast growth band  which is in  contrast with reflected light  Blacker  1974     The average length of each growth ring determined by the analysis of the sagittae and  asterisci otoliths by Gallardo Cabello et al   in press  was used to obtain the parameters of  von Bertalanffy    s  1938  growth equation  These observed values  translated to fish length  were  for age     10 00 cm  age 2   15 00 cm  age 3   19 00cm  age 4   23 00 cm   age 5     26 00 cm and age 6     29 00 cm    Von Bertalanffy   s equation  1938  in the form of L   L   l e 9   was used   where L   length  L    asymptotic length  K   growth factor and t    theoretic length  at age 0  The parameters L_  K and t of von Bertalanffy  s  1 938  equation were ob   tained with Ford s  1933   Walford S  1 946  and 
18. lespino Q gmail com    Resumen    Se obtuvieron muestras y datos morfom  tricos  de 394 individuos de la malacapa Diapterus  brevirostris  de la captura comercial entre abril  de 2010 y julio de 2012  El estudio del creci   miento se realiz   por dos m  todos  an  lisis de  frecuencia de longitud y el estudio de los otoli   tos sagittae y asteriscus  Ambos m  todos iden   tificaron seis grupos de edad  Los par  metros  de crecimiento de la ecuaci  n de von Berta   lanffy se determinaron con el m  todo de Ford   Walford y Gulland y por rutina ELEFAN   Ambos m  todos dieron los mismos resultados   L_  48 61 cm  K  0 135  t      0 696  La  longitud media para cada edad fue  edad 1     9 97 cm  edad 2  14 86 cm  edad 3  19 13  cm  edad 4  22 87 cm  edad 5  26 12 cm  y edad 6  28 97 cm  El   ndice alom  trico de    la relaci  n longitud peso fue isom  trico y b     AVANCES EN INVESTIGACI  N AGROPECUARIA   27  Gallardo Cabello et al  Ala  2014  182   27 40    Issn 0188789 0    Growth of the Shortnose Mojarra Diapterus brevirostris       marked because of the metabolic changes in the  fish together with its response to environmental  factors  The use of the growth parameters ob   tained by different methods is a robust result in  the use of fishery models     2 977  la longevidad fue de 21 5 a  os  El anillo  de crecimiento se marca por cambios en el me   tabolismo del pez  junto con su respuesta a los  cambios ambientales  El uso de los par  metros  de crecimiento obtenidos por dif
19. liths sagittae and asterisci   4  to obtain the weight   length relationships  total and eviscerated weight   and asymptotic  values of weight  5  to estimate the longevity of D  brevirostris  and 6  to compare results  obtained in the present study with those obtained by other authors in other places     Materials and methods    From April 2010 to July 2012  individuals of D  brevirostris were obtained monthly from  the commercial captures from Cuyutl  n lagoon in Colima  M  xico  19 00  to 19  02   N  and 104 10  to 104  21 W  and in Tomatl  n  Jalisco  Mexico  19 58  to 20  04   N and  105 26  to 105  32 W   Samples were identified using identification keys for the family   Castro Aguirre  1978  Bussing  1995  Castro Aguirre et al   1999  Gonz  lez Acosta  et al   2007   Total length  TL  cm  and weight  IW  g  of 1 886 individuals were mea   sured  Of these  394 were transported to the fish laboratory of the Instituto Nacional de  Pesca  where total  TL  cm   standard length  SL  cm   height or body depth  D  cm   measured at the base of the dorsal fin were taken  total  IW  g  and eviscerated weight   EW  g  were registered and sex was observed macroscopically for each specimen  These  individuals were captured with gillnets of different sizes  2 5 3 5 inch   which resulted in  the capture of a diversity of different length sizes and age groups    To compare the relation and morphometric differences between males and females  a  one way variance analysis  ANOVA  was carr
20. ned the sample and always are willing to help  and teach us their knowledge of the fish  Also  we are grateful to the anonymous review   ers who improved this study     Cited Literature    Allen  G R  and Robertson  D R   1994   Peces del Pac  fico Oriental Tropical  CONABIO  Agrupaci  n  Sierra Madre y CEMEX  M  xico  327pp      lvarez Hern  ndez  J  H   1999   Edad y crecimiento de la mojarra Gerres cinereus en la costa sur del  estado de Quintana Roo  M  xico  Proc  Gulf Carrib  Fish  Inst  45 514 523    Ayala P  rez  L  A   G  mez Montes  B  A  and Ramos Miranda  J   2001   Distribuci  n  abundancia  y par  metros poblacionales de la mojarra  Diapterus rhombeus  Pisces  Gerreidae  en la Laguna de  T  rminos  Campeche  M  xico  Revista de Biolog  a Tropical 49 2  635 642    Blacker  R  W   1974   Recent advances in otolith studies  In  Harden Jones  E   Ed   Sea Fisheries  Research  pp  67 90  Elek Science  London    Bussing  W  A   1995   Gerreidae  Mojarras  In  Fischer  W   Krupp  F   Schneides  W   Sommer  C    Carpenter  K  E  and Niem  U  H  Gu  a Fao para la identificaci  n de especies para los fines de la pesca   Pac  fico Centro Oriental  Vertebrados  Vols  II  Roma  FAO  Italia  p  1114 1128     38  gt  AVANCES EN INVESTIGACI  N AGROPECUARIA  Gallardo Cabello et al  Ala  2014  18 2   27 40  Issn 0188789 0    Revista de investigaci  n y difusi  n cient  fica agropecuaria    Cabral Sol  s  E G   Gallardo Cabello  M   Espino Barr  E  and Ib    ez Aguirre  A L   2010
21. ollar  exchange rate in 2012     Although the Shortnose Mojarra is a commercially important species  studies on its  biology and population dynamics are limited  growth patterns were analyzed by geometric  morphometrics by Vergara Solana et al   2013   weight length relationships were reported  by Gonz  lez Acosta et al   2004  and de la Cruz Agiiero et al   201 1   Age and growth  studies of this species were only carried out by Cabrera Pe  a et al   1996  in Costa Rica  coasts  Therefore  this investigation provides data on age and growth of D  brevirostris in  Mexico  analyzing length frequency data and otoliths  for the first time   Also  the otolith  asterisci analysis has never been done on this species   hese results are important in terms  of the fish community  ecology  and biology  also they can be used in fishery models and  capture quotas that will help assess and manage the fishery resource  Espino Barr et al    1998  2013  Cabral Sol  s et al   2010     The aim of this paper was  1  to analyze Diapterus brevirostris length frequency histo   grams  2  to determine time of growth ring formation in sagittae and asterisci  and analyze  minima and maxima growth  2  to calculate von Bertalanffy s growth constants parameters    28  gt  AVANCES EN INVESTIGACI  N AGROPECUARIA  Gallardo Cabello et al  Ala  2014  18 2   27 40  Issn 0188789 0    Revista de investigaci  n y difusi  n cient  fica agropecuaria    by length frequency analysis data and ring identification in oto
22. pical multispecies stocks  a review with emphasis on the  Southeast Asian demersal fisheries   CLARM Studies Reviews 1 1 35    SAGARPA   2011   Anuario estad  stico de pesca 2009  Comisi  n Nacional de Acuacultura y Pesca   Secretar  a de Agricultura  Ganader  a  Desarrollo Rural  Pesca y Alimentaci  n  305 pp   http   www   conapesca sagarpa gob mx wb cona anuano 2011     Shutharshan  S  and Sivashanthini  K   201 1   Growth characteristics of Slender Silver biddies Gerres  oblongus  Pisces  Perciformes  from the Jaffna Lagoon  Sn Lanka  Journal of Fisheries and Aquatic  Sciences 6 6  592 603    Sparre  P  and Venema  S  C   1995   Introducci  n a la evaluaci  n de recursos pesqueros tropicales  Parte      Manual  FAO Doc  Tec  de Pesca 306 1  Roma    Taylor  C  C   1958   Cod growth and temperature  Journal du Conseil 23 3  366 370    Taylor  C  C   1960   Temperature  growth and mortality     the Pacific cockle  Journal du Conseil 26 1  177   124    Von Bertalanffy  L   1938   A quantitative theory of organic growth  inquiries on growth laws  Human  Biology 10 2  181 213    Vergara Solana  F  J   Garc  a Rodr  guez  F  J  and De la Cruz Ag  ero  J   2013   Interspecific comparison  of growth and shape within Diapterus  Gerreidae  Perciformes  using geometric morphometrics  Journal  of Ichthyology 53 6  445 454    Walford  L  A   1946   A new graphic method of describing the growth of animals  The Biological Bulletin  90 2  141 147    Zar  J  H   1996   Biostatistical analy
23. sis  3  edn  Prentice Hall  USA  662 pp     Recibido  Octubre 04  2013   Inicio de arbitraje  Octubre 17  2013  Dictamen para autor  Diciembre 02  2013  Aceptado  Abril 10  2014    4    AVANCES EN INVESTIGACI  N AGROPECUARIA  Gallardo Cabello et al  Ala  2014  18 2   27 40  IssN 0188789 0    
24. vity and p    values were calculated by us      This paper Cabrera Pe  a et al  Cabrera Pe  a et al   Year 2011 1996 1996  Area Colima  M  xico Costa Rica Costa Rica  Method otoliths Allen Tomlinson  amp  Abramson  Loo  em  48 61 31 9 323  K 0 135 0 268 0 293  h  0 696 0 046 0 042  Longevity  years  21 5 11 1 10 2  p 2 504 2 436 2 485    Besides  in the Atlantic ocean  in the Lagoon of T  rminos  Campeche  M  xico  Aya   la P  rez et al   2001  found values for Diapterus rhombeus of L  von Bertalanffy K    0 74  L_   20 4 cm and t     4 207  The value of K is very high  therefore this organism  will reach L_ very fast  presenting longevity of four years  Ayala P  rez et al   2001  found  in their study that 69 9  of individuals are juveniles therefore this analysis corresponds to  the first part of the curve of von Bertalanffy and the catabolic index is higher than the real   Had these authors used organisms of a higher age  they would have found lower values    of K and higher L       AVANCES EN INVESTIGACI  N AGROPECUARIA   37  Gallardo Cabello et al  Ala  2014  18 2   27 40  Issn 0188789 0    Growth of the Shortnose Mojarra Diapterus brevirostris       Other studies show also a fast growth in the Gerreidae family during the first 3 years  of age  K can range between K   0 425 and 0 452 in females and males of Gerres equu   lus  Iqbal et al   2006   K   0 80 and 0 82 in females and males of Gerres sp   Kanak  and lachihara  2006   to K   1 0 in Gerres oblongus  Shutharshan 
    
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