A standard weight equation to assess the body condition of pejerrey Odontesthes bonariensis
Darío C. Colautti1,2, Mauricio Remes Lenicov1,3 and Gustavo E. Berasain1.
1 Dirección de Desarrollo Pesquero. Subsecretaría de Actividades Pesqueras. Ministerio de Asuntos Agrarios de la Provincia
de Buenos Aires. Calle 12 y 50 (1900) La Plata. Provincia de Buenos Aires, Argentina.
2 Laboratorio Ecología Pesquera. IIB-INTECH (UNSAM-CONICET). Camino de Circunvalación Laguna Km.6 C.C. 164
(B7130IWA). Chascomús. Provincia de Buenos Aires, Argentina.
3 Instituto de Limnología La Plata. Av. Calchaquí Km 23,5 (1888). Florencio Varela. Provincia de Buenos Aires, Argentina.
Address correspondence to: Dr. Darío Colautti. Laboratorio Ecología Pesquera. IIB-INTECH (UNSAM-CONICET). Camino de Circunvalación Laguna Km 6, C.C. 164, (B7130IWA) Chascomús, Provincia de Buenos Aires, ARGENTINA. Fax: (+54-2241) 424048. E-mail: colautti@intech.gov.ar
Key words: Standard weight; Pejerrey; Odontesthes bonariensis; Condition
Abstract: We developed a standard weight equation Ws to aid in the analysis of pejerrey Odonthestes bonariensis body condition over time and across populations using the relative weight index Wr. Weight - length data were compiled from 73 populations of pejerrey (N=16.022) from the Argentine pampas region. We used the regression-line-percentile technique, which provides a 75th-percentile standard by length intervals of 10 mm, to develop the Ws equation. The proposed equation is log10 Ws=-5,267+3,163 log10 Lst; Ws is weight in grams and Lst is standard length in millimeters. This equation is proposed for use with pejerrey between 120 and 520 mm of Lst. Values for Wr calculated with the Ws equation did not consistently increase or decrease as function of fish length, indicating absence of length bias. We analyze the values and distribution of Wr for pejerrey and suggest how to interpret its results. The equation of Ws that intends to calculate the index of Wr, represents a useful tool of analysis, because not only it allows to statistically compare the physical condition of the pejerrey, independently of its size, capture moment or the individual origin, but also it facilitates to relate it with other variables.
Why develop a standard weight equation for pejerrey?
In inland waters of Buenos Aires Province, the
pejerrey Odontesthes bonariensis is the main species
for commercial and sport fisheries (Thorton et al., 1982).
This fish is zooplanktivorous, and typically develop
high-density populations in shallow lakes located in the
pampean plain.
In Pampean lakes, fisheries biologists and managers
have used Fulton type condition factors (K) to assess
the relative plumpness of fish in a population as a
current tool. However, direct comparisons of different
fish populations or fish length using such indices present
conceptual problems (Wege and Anderson, 1978). To
overcome such limitations, Wege and Anderson (1978)
proposed the use of relative weight (Wr) as an index to
evaluate and compare fish condition (Wr=the ratio of a
fish weight, W, to the weight standard of fish of the
same length, Ws; Wr=W/Ws 100). The index utilizes range-wide species weight-length relationship data, and
it is therefore applicable for individuals to all populations
of given species. Relative weight index values allow
users to perform comparative condition assessments
of fish from different total length groups, facilitate comparison
between populations, and avoid the inherent
length and species biases of Fulton type condition factors
(K). (Neumann and Murphy, 1991; Willis et al,
1991). Since its creation the Wr index has been widely
accepted, and it is customarily used for condition analysis
of many species (Anderson and Neumann, 1996;
Bister et al, 2000; Blackwell et al, 2000). But the applicability
is limited by the availability of an appropriate
database for developing the standard weight equation
for the species.
The objectives of this study were to develop a standard
weight (Ws) equation for Pejerrey that could be
used to assess and compare the body condition of any
fish, independently of the size, moment of capture, population,
in order to make reliable comparisons with physiological
and environmental variables.
Improvement of standard weight equation for pejerrey
Weight length data of pejerrey O. bonariensis obtained
from 89 fish surveys in Pampean lakes were used
as basic information. Fish standard lengths were measured
to the millimeter whereas fish weights were taken
with a digital scale with a 2g precision. Population data
represented by less than 50 individuals or with a correlation
coefficient, for log10 transformed weight-length
regressions less than 0.90 were removed from the analyses.
When data for more than one sample year were available
for a particular population, we used data from the
year that contained the most observations. All weightlength
data were examined as scatter plots, and outliers
(more than 3 standard deviations) were eliminated from
subsequent analyses (Brown and Murphy, 1996; Kruse
and Hubert, 1997; Neumann and Flammang, 1997;
Fisher and Fielder, 1998).
The minimum length for weight precision was determined
by plotting the variance-to-mean ratio for individual
log10 weight by 10 mm length intervals, as
suggested by Murphy et al (1991). Only 120 mm or
longer pejerrey were included in the further calculations
because 120 mm was the inflection point at which the
ratio stabilizes as a function of length (Neumann and
Murphy, 1991). The maximum standard length used to
develop the Ws equation was 520 mm.
The regression line percentile technique (RLP) was
used to develop the Ws equation for pejerrey (Murphy et al, 1990).
Log10 weight-log10 length regression equation was
calculated for 120 and longer fish from 77 pejerrey
populations Table 1 that met the above requirements for
inclusion in the development of the Ws equation. As
suggested by Neumann and Flammang (1997), we plotted
individual pairs of weight-length regression slopes
and intercepts detecting and removing four populations
with extremes values from the Ws equation calculation.
TABLE 1.
Sample populations by location (county, latitude lat, longitude long) and regression parameters for weight-length
regression equations developed for 73 populations of pejerrey. a:intercept, b:slope, R2: coefficient of determination,
N:sample size, Max and Min: maximum and minimum standard length in population sample. All regressions
were developed using common (log10) logarithms. Lengths were measured as standard length in millimeters
and weights were measured in grams. Asterix indicates the parameters not used in Ws equation calculation.
Mean weights were predicted for the midpoints of
1 cm length intervals from 120 mm to 520 mm standard
length for each population, and the 75th percentile
weights (a value slightly superior to the average that
represent the "optimal condition") were regressed on
length to develop the proposed Ws equation.
The following Ws equation for pejerrey was calculated
with the 75th-percentile RLP technique:
log10 Ws = -5.267 + 3.163 log10 Lst. |
were Ws is the standard weight in grams and Lst the
standard length in millimetres. This equation is proposed
for use with pejerrey from 120 mm to 520 mm.
We calculated and regressed the Wr values for individual
pejerrey as a function of fish length for each
population to determine whether there was a consistent
tendency for Wr values to increase or decrease as fish
size increased. The total number of significant (p≤0.05)
positive and negative slopes were compared using Chi-square
analysis to detect consistent length-related bias.
Although Wr may vary with length in a given population,
there should be no consistent pattern of increasing
or decreasing Wr values for a series of populations.
When Wr was regressed on fish length for 73 populations,
slopes were all significant (p≤0.05), being 30 of
them positive and 43 negative: Chi-square test (p=0.128)
indicates no length bias associated with the Ws equation
(Fig. 1).
FIGURE 1. Individual relative weights of
pejerrey sampled in 73 pampean lakes
(N=16.022) in function of its lengths.
The relative weigth index and its interpretation in pejerrey
In order to use the relative weight as a diagnostic tool it is essential to count with a formula to estimate the standard weights of the species. The tests we carried out indicate that the proposed index has correctly compensated the change of body form due to growth and normal distribution (Figs. 1 and 2), which makes possible to carry out meaningful comparisons among individuals with different sizes. Furthermore, the wide geographic area covered by the data qualifies the use of this equation as reference for Pampean lakes, allowing to compare individual condition among populations. In consequence, variation in Wr may be primarily due to ecological factors and their influence on pejerrey populations (Murphy et al, 1990). Several studies also documented that Wr is related to growth rate, reproductive potential, recruitment, production-biomass ratio, prey abundance, population density, structural indices, and environmental variables such as surface, depth, salinity, average temperature and primary production (Guy and Willis, 1991; Liao et al, 1995; Marwitz and Hubert, 1997; Blackwell et al, 2000).
FIGURE 2. Frequency distribution of relative weight values for individual
pejerrey (N=16022) sampled from 73 pampean lakes. Full bar
indicates the 75th percentile (Wr=100).
To take advantage of the index, we suggest to make
individual analyses instead of calculating population averages
that could hide or mask the condition of different
population strata. However, since Wr is not related to
length, a mean Wr can be estimated by size strata
(Marwitz and Hubert, 1997; Quist et al, 1998). Baigún
and Anderson (1993) proposed several interval size for
the pejerrey. On the other hand, the interpretation of results
must consider management objectives and the environmental
limitations (Blackwell et al, 2000), thus defining
optimal or "desirable" Wr values. Current optimal
conditions have been set to 95-105 (Murphy et al, 1990;
Blackwell et al, 2000), but 85-95 Wr values were noted
in high productive populations (Gabelhouse, 1987; Fisher
and Fielder, 1998). Adjusting of optimal Wr values for
pejerrey will require to analyze their variablity and relationship
with environmental conditions, biological and
fisheries parameters. Colautti et al (2003) found that Wr
was inversely related to pejerrey capturability by the recreational
fishery.
Use of Wr represents also a valuable tool for management
objectives and can be very effective if it is combined
with structural indices such as PSD, RSD and
abundance or density data. We encourage colleagues/
readers to incorporate such indices in regular fisheries
assessments and to test their effectivity for population
management.
Aknowledgments
We thank Claudio R.M. Baigún, Juan M. Morales and Rolando Quiros for their critical reviews of the manuscript, and Laboratory of fisheries biology of "Instituto de Limnología de La Plata" (ILPLA) for their contribution with four data sets used in this paper.
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Received on March 15, 2005.
Accepted on June 24, 2005.