3.3. Estimation of the Number of ALDFGs in the Gulf of Gabès
The results of multiple linear regression analysis, conducted to establish a regression equation estimating the annual rates of ALDFGs in the Gulf of Gabès are presented in two tables. The first provides descriptive statistics for all variables both dependent and independent indicating the sample size and mean for each variable (
Table 3). In this study, multicollinearity was checked for its possible presence between the independent variables before the multiple regressions were carried out. Generally, the maximum collinearity tolerance is 1 with a maximum Variance Inflation Factor (VIF) of 10. The universal standard for multicollinearity, however, has more stringent criteria with tolerance limits of less than 0.1 and a VIF greater than 10 [
23]. The second table displays coefficients that define the multi-collinearity among the independent variables (
Table 4). This is achieved through then VIF, along with the significance tests (P-values) for the coefficients. Furthermore, the table include the parameters of the regression equation such as the regression coefficients for each independent variable and the constant (B). For each fishing gear, an equation is derived, expressing the rate of ALDFG (dependent variable) in relation to the influencing independent variables.
Ten independent variables utilized in the multiple regression analysis to estimate the annual number of trawl net pieces lost per fishing boat.
The VIF are below 10 (table 4) indicating the absence of collinearity among them. Consequently, these variables are deemed independent of each other. In formulating the regression equation, we considered coefficients of regression for independent variables with a significance level of P <0.05 (table 4). The number of abandoned, lost, or discarded trawl nets is affected by 5 independent variables, including the depth of fishing activities (X1), the tonnage of the boats (X2), the number of sets per 24 h (X3), the number of trawl net parts abandoned per year (X4), and the frequency of nets replacement per year (X5).
Using these variables, the regression equation is expressed as follows:
b, c, d, e, and f: the regression coefficients of each independent variable.
The loss rates of trawl net pieces were calculated using those means: the average depth of fishing activities (44.51 m), the average trawler tonnages (94.77 t), the average number of sets per 24 h (8.69), the average number of abandoned parts (1.56) and the average frequency of net replacement per year (3.13) (
Table 3).
The annual number of discarded trawl net pieces (Y) can be estimated as follows:
This implies that approximately 2 pieces of benthic trawl net are lost in the study area per year by a trawler with an average tonnage of 94.77 operating in an average depth of 44.51 m and conducting an average of 8.69 sets per 24 hours.
The total number of active trawlers in the Gulf of Gabès is 263 [
20]. Based on this information, the total number of abandoned, discarded, or lost trawl nets by the entire trawl fleet in the Gulf of Gabès can be estimated as:
T = Y × 263
T = 263 × 1.939 = 509.957
Rounding up, approximately 510 pieces of trawl nets are discarded annually in the Gulf of Gabès.
Multiple regression analysis of encircling nets presents a VIF strictly less than 10 (
Table 4). These variables are therefore not collinear and independent of each other. Two independent variables with a P<0.05 are used to formulate the equation for estimating the rate of encircling nets abandoned, discarded, or lost annually, including the depth of fishing activities (X1) and the annual number of abandoned encircling net pieces (X2).
The regression equation is written as follows:
b and c : regression coefficients of each independent variable.
The average depth of fishing activities is 34.5 m and the average number of abandoned parts is 1.097 (
Table 4). Using these means, the annual rate of discarded encircling net pieces (Y) can be estimated as follows:
Y = 2.584 + -0.039 × 34.5 + 0.909 × 1.097 = 2.23
About 2 pieces of encircling nets are lost annually and by a boat operating in an average depth of 34.5 m in the Gulf of Gabès.
The total number of active purse seiners in the Gulf of Gabès stands at 184 [
20]. The total number of pieces of encircling nets abandoned, rejected, or lost by the whole encircling nets fleet in the Gulf of Gabès is determined by the following equation:
Y being the total number of abandoned, discarded, or lost encircling net pieces per year in the Gulf of Gabès
T = 184 × 2.23 = 410.32
Around 410 pieces of encircling nets are rejected each year in the Gulf of Gabès.
Regarding the coastal fishing gears, all variance inflation factors VIF are consistently less than ten (Tables 4). These eleven variables used to estimate the rate of abandoned, lost, or otherwise discarded gill-nets, trammel nets, and longline hooks, exhibit non-collinearity.
Three independent variables, each with a significant level of P <0.05 were used to produce the regression equation for the rate of abandoned, rejected, or lost trammel nets. These are the number of pieces of net used (X1), the soak time (X2), and the number of pieces of net left in the sea (X3).
Using these variables, the regression equation is written as follows:
Y (the total number of lost trammel nets) = a (constant) + (b × X1) + (c × X2) + (d × X3)
b, c and d being the regression coefficients of each independent variable.
The loss rates of pieces of trammel net were calculated using the following descriptive statistics: the average number of pieces of net used (74.71), the soak time (10.7147), and the average number of pieces of abandoned nets (12.2) (
Table 5).
The annual number of rejected trammel nets (Y) can be estimated as follows:
About 23 pieces of trammel nets are lost in the Gulf of Gabès annually by a fishing boat using an average number of net pieces of 74.71 with an average soak time of 10.71 hours.
To derive the estimation equation for the rate of abandoned, discarded, or lost gill nets, five independent variables with a significance level of p<0.05 were incorporated. These variables comprise the number of net pieces abandoned per year (X1), the sets in 24 hours (X2), the replacement frequency of the gear per year (X3), the number of gillnet pieces used (X4), and the number of fishing days per month (X5).
The regression equation is written as follows:
Y (the total number of lost gill nets) = a (constant) + (b × X1) + (c × X2) + (d × X3) + (e × X4) + (f × X5)
b, c, d, e and f being the regression coefficients of each independent variable.
The loss rate of gill net pieces was calculated using the following values: The average number of pieces of net discarded per year (4.3), the average soak time in hours (3.026), the average frequency of gear replacement per year (1.3), the average number of gillnets pieces used (35.56), and the average number of fishing days per month (15.03) (
Table 4).
The estimation of the annual number of discarded gillnets by fishing boat (Y) can be determined as follows:
About 9 pieces of gillnets are lost in the Gulf of Gabès annually by a fishing boat using about 35 pieces of nets, replacing its nets about 1.3 times per year and operating about 15 days per month, with an average soak time of 3.026h.
To estimate the rate of abandoned, rejected, or lost hooks, five independent variables with a significant level of P<0.05 were retained. These variables include the annual number of abandoned hooks (X1), the yearly frequency of gear replacement (X2), the number of hooks used (X3), the depth of fishing activities (X4), and the annual number of gears used per boat (X5).
The resulting regression equation is estimated as follows:
b, c, d, e and f being the regression coefficients of each independent variable.
The longline hook loss rates were calculated using the following descriptive statistics: the average number of discarded hooks per boat (401.69), the average gear replacement frequency per year (1.61), the average number of hooks used (2076.79), the average depth of fishing activities (34.46 m), and the average number of gears used per year per boat (2.304) (
Table 5).
The total number of discarded hooks (Y) can be estimated as follows:
About 249 hooks are lost annually in the Gulf of Gabès per boat with an average of 2.304 gears used annually and using around 2076.79 hooks at an average depth of 34.46 m.