TPWD 1968 F-6-R-15 #1172: Job Completion Report: Fisheries Investigations - Region 5-B, Appraisal of Various Mesh Sizes in Taking Fishes at Lake Corpus Christi, Texas, Project F-6-15, Job D-3
Open PDFExtracted Text
--- Page 1 ---
JOB COMPLETION REPORT
As required by
FEDERAL AID IN FISHERIES RESTORATION ACT
TEXAS
Federal Aid Project No. F-6-15
FISHERIES INVESTIGATIONS - REGION 5-B
Job No. D-3 (3rd of 4 segments) Appraisal of Various Mesh
Sizes in Taking Fishes at Lake Corpus Christi, Texas
Project Leader: John C. Barron
J. R. Singleton
Executive Director
Parks and Wildlife Department
Austin, Texas
Marion Toole Eugene A. Walker
D-J3J Coordinator Director, Wildlife Services
October 17, 1968
--- Page 2 ---
ABSTRACT
Uniform mesh gill nets varying from 1 to 4 inches square mesh were set
monthly at three locations in Lake Corpus Christi. These data were collected
and transposed to punched cards for computer analyses.
Tentative analysis utilizing the negative binomial distribution provided
information on the net mesh sizes to which various fish species were vulner-
able. A detailed example analysis with freshwater drum showed that mesh size
introduced the greatest variability into the catch distribution, followed
closely by location. Except for blue catfish, few game fish were taken in
3-inch and larger mesh.
--- Page 3 ---
Project No.
Fob No.
JOB COMPLETION REPORT
Texas
F-6-15 Name: Fisheries Investigations -
Region 5-B
D-3 Title: Appraisal of Various Mesh Sizes
in Taking Fishes
Period Covered: January 1, 1967 to December 31, 1967
Ovjective:
To determine the relation between mesh size of gill nets and species
-omposition of the catch.
Procedures:
Monthly netting was conducted at Lake Corpus Christi. The nets used
‘re uniform mesh gill nets 100 feet long and of the following bar measures:
ly-, 2-, 2%-, 3-, 3%-, and 4-inches. The nets were set parallel to each
ther approximately fifty yards apart. A random design was used to deter-
ioe set and run order so that fishing time variation would be minimized.
ree stations were established and each mesh size set at each location every
A total of 252 settings were made. Station No. 1 was immediately
nth
ive the dam; Station No. 2 was at Miller's Island, about five miles above
‘he dam; and Station No. 3 in Ramirena Creek, about 11 miles above the dam.
"or each fish taken, the following data were recorded:
ieail on
| OR ee
£ Us
° °
Ne OO On Der
Species
Net mesh size
Date collected
Station location
Body depth (not measured over curvature)
Total length
Standard length
Weight
Fishing time (number of minutes net remained in water)
Mean water temperature (average of set and run values)
Water turbidity (Secchi disc)
Mean station depth (average of inner, mid, and outer depth
readings)
--- Page 4 ---
2.
All data were recorded in the field; and upon return to headquarters
were typed, checked for accuracy, and mailed to the Data Processing Section
at the Austin Headquarters to be transferred to punched cards. This
procedure was in preparation for future analysis by electronic data
processing equipment.
Results:
There is substantial literature on the subject of fishing gear and gear
selectivity, and the mathematics are sometimes formidable. Beverton and
Holt (1957) have covered the subject extensively in their book, although
most of their examples deal with marine species and their equations usually
presuppose a knowledge of age of the specimen.
Since the purpose of this study was not to determine the fishing power
or efficiency of gill nets, but instead to determine the composition of
their catches (with particular emphasis on game fishes), a simple approach
seemed justifiable. Moyle and Lound (1960), Lambou (1963), and numerous
other investigators have demonstrated that the negative binomial distri-
bution will yield an appropriate unit for comparing catches of the number
of fishes of specific species.
The negative binomial is a contagious distribution; contagion being
used in the sense that if an individual of a species is found in a given
area then the probability that a similar individual will be in the same
area is increased and implies that fishes are not distributed at random.
The negative binomial distribution concerns the number of times a
specific number of individuals of a species is taken in a series of samples.
The shape of the curve is usually positively skewed indicating that more
individual observations occur below the mean than do above it. Generally
the zero class (no fish of the species in question taken in a sample) has
the greatest frequency. The distribution is described by three parameters:
the mean, m; the variance, v; and the coefficient of contagion, K. Com-
putation of the first two is common knowledge, and the latter can be
approximated by:
K = nie
v-m
Obviously, m = v since division by zero is undefined; therefore, if v =m
then the distribution in question cannot be fitted to the negative binomial.
The mean, too, is never larger than the variance in the negative binomial.
This distribution has the advantage in that transformations are available
which tend toward the normal distribution. Moyle and Lound demonstrated
that the transformation y; = log (x; + 4K) is more applicable than the easier
to use yy =A/ xe oT 4 These transformations are of primary importance if
analysis of variance is contemplated.
--- Page 5 ---
we
Table 1
Catch Distribution of the Freshwater Drum Fitted
to the Negative Binomial Distribution
Number of Calculated Observed
Fish per Net Frequency (F) Frequency (f
OMNKDUPWNHEO
me Ww
Nw hd
;
FA
6
5
3
3
1
1
1
4
0
0
L
0
1
10)
3
0
2
--- Page 6 ---
Table 2
Analysis of Variance of the Catch Distribution of Freshwater Drum
Source of Variation
Mesh sizes
Months
Locations
Months x location
Months x mesh sizes
Locations x mesh sizes
Second order interaction
; Total
* Significant at the 0.5% level.
-149016
+475807
- 160780
» 362863
.162521
2819736
- 883419
2014142
32.358169
1.679618
20.580390
1.789221
0.487310
4.401644
0.824874
24.95%
aL?
--- Page 7 ---
Table 3
Catch Distribution Per Mesh Size for Several Species
Species
Smallmouth buffalo
Mesh
(in. )
Number of fish per net
*Denotes an infinite or negative reciprocal.
--- Page 8 ---
Table 4
Catch Distribution Per Mesh Size for Several Species
Number of fish per net
1 2
Channel catfish
Blue catfish
Flathead catfish
White bass
*Denotes an infinite or negative reciprocal.
--- Page 9 ---
Table 5
Catch Distribution Per Mesh Size for Several Species
1/K
5+
2
1
Number of fish per net
3 4
0)
(in.)
Mesh
Species
6.47
29
Largemouth bass
35
Warmouth
oe eRe keone)
oooocoo°o
oOo 0O0C00 0
eee eoke)
0
0
ooo°o
Bluegill
oo0o0o0c°o
oooo°c°o
oCoO0000
oo0oCoCc oO
HoOoooc eo
ooo00 ONNOOO°O
N
oqHoOooo°o
HOoOOC 0
3
3
15
*Denotes an infinite or negative reciprocal.
Redear sunfish
| White crappie
--- Page 10 ---
Table 6
Catch Distribution Per Mesh Size for Several Species
Species ,
*Denotes an infinite or negative reciprocal.
Number of fish per net
ll 2 3 4
Black crappie 8 2 0 2
4 4 6 2
6 0 1 0
0 0 0 0
1 0 0 0
0 0 0 0
0 oO _0 0
Freshwater drum 5 4 2
2 3 0
8 4 1
4 4 1
6 2 0
5 0 0
2 om 0
PN
|
io ooooor
|
peneees
--- Page 11 ---
In order to demonstrate the use of the negative binomial a catch distri-
bution of freshwater drum was used (Table 1). Some precision was lost due
to the combination of all mesh sizes, but’ the difference measured by Chi
square is still not highly significant. Since the process is tedious, time
did not permit the fitting of any more of the distributions; but a computer
program will be prepared during the next segment for this procedure, and all
of the species will be tested.
An analysis of variance was also conducted with the drum data making use
of the logarithmic transformation shown above. This test was intended to
show the source of the variation in the catch distribution. Table 2 shows
that the greatest variation in catch was attributed to the different mesh
sizes with the different locations following closely. The interaction between
location and mesh size is also highly significant. The variation attributable
to months and monthly interaction was not significant and can be considered
sampling deviations.
In Tables 3 to 6 the catch distributions of each species taken are
stratified by mesh size. Using 36 net sets, a negative binomial distribution
was computed for each mesh size. The quantity 1/K was defined by Moyle and
Lound as the dispersion index. The greater the value of this reciprocal, the
greater the spread of the data. This appears to be true if the distribution
fits the negative binomial. In the above mentioned tables, those meshes which
show an infinite or negative reciprocal are of little value for capturing a
species. Those meshes which show the smallest frequency for the zero-class
should be considered the optimum mesh size for the species.
Observation of the maximum mesh size for capture shows that nets of 3-inch
mesh produce a negligible catch of all game species except blue catfish. It
would appear that gill nets of 3-inch mesh or larger will not harm game fish
populations which reaffirms present regulations to this effect.
During the 16th segment of this project additional analyses will be
conducted using the ADP methods.
we / i
Prepared by John C. Barron Approved by 4
Project Leader Coordinator
Date October 17, 1968 Elgin M. C. Dietz
Inland Supervisor
--- Page 12 ---
-10-
References Cites
Beverton, R. J. H. and S. J. Holt. 1957. On the dynamics of exploited fish
populations. Her Majesty's Stationery Office, London. 533.
Lambou, Victor W. 1963. Application of distribution pattern of fishes in
Lake Bistineau to design of sampling programs. Prog. Fish-Culturist
25(2) :79-87.
Moyle, John B. and Richard Lound. 1960. Confidence limits associated with
means and medians of series of net catches. Trans. Am. Fish Soc.
89(1) :53-58.