Economic Risk and Efficiency Assessment of Fisheries in Abu-Dhabi, United Arab Emirates (UAE): A Stochastic Approach
Abstract
:1. Introduction


2. Methods
2.1. Standard Stochastic Dominance Techniques
for all values of X. Graphically, this means SSD requires that the curve of the cumulative area under the CDF for a dominant alternative lies everywhere below and to the right of the corresponding curve for the dominated alternative. Although more powerful than FSD, SSD often leaves a large number of choices as being risk-efficient. To improve the discriminating power of SSD, Meyer [29] proposed SDRF, which is a more general notion of stochastic dominance. This rule helps to identify risk-efficient options for the class of decision-makers whose risk aversion coefficients are bounded by lower and upper values. The smaller the range of risk aversion coefficients, the more powerful is the criterion. The SDRF criterion orders the choices by defining intervals using the ra absolute risk aversion coefficients. These risk-preference intervals are bounded by a lower risk aversion coefficient, raL, and an upper risk aversion coefficient, raU, which characterize the general degree of risk aversion for a manger. A risk-efficient set of strategies will include the choices preferred by each manager having risk preferences consistent with the restrictions imposed by the lower to upper interval. Furthermore, Hardaker et al. [30] argued that eliciting decision-makers (or inferring) the bounds on their risk aversion coefficients may be simpler than eliciting a complete utility function. Further discussion of SDRF is provided by Cochran [31], King and Robison [32] and Robison and Barry [24].2.2. Stochastic Efficiency with Respect to a Function (SERF)
2.3. Risk Simulation Analyses
2.4. Study Data Source
3. Results and Discussion
3.1. Fisheries Survey Descriptive Statistics
| Variable | Annual total revenue (TR) (AED) | Annual variable costs (VC) (AED) | Annual gross margin (GM) = TR − VC (AED) |
|---|---|---|---|
| Mean | 298,173 | 159,112 | 139,061 |
| Median | 276,000 | 157,680 | 125,320 |
| Standard deviation (SD) | 185,899 | 52,415 | 174,042 |
| Coefficient of variation (SD/mean) | 0.62 | 0.33 | 1.25 |
| Number of observations | 131 | 131 | 131 |
| Statistical measure | Traps | Thread | Nets |
|---|---|---|---|
| Mean | 167,551 | 65,078 | 67,274 |
| Median | 159,360 | 66,430 | 45,280 |
| Standard deviation (SD) | 175,891 | 169,834 | 142,885 |
| Coefficient of variation (SD/mean) | 1.05 | 2.61 | 2.12 |
| Number of observations | 94 | 10 | 27 |
3.2. First Degree Stochastic Dominance (FSD)



| Pairs of fishing management alternatives | K-S test values | D values | Conclusion |
|---|---|---|---|
| Fishing methods | D value is greater than the absolute value of the greatest difference between each pair; cannot conclude the presence of significant difference between the three distributions. | ||
| Traps/Threads | −0.034 | 0.140 | |
| Traps/Nets | 0.041 | ||
| Threads/Nets | 0.074 | ||
| Trap size | D value is less than the absolute value of the greatest difference between each pair; can conclude the presence of significant difference between the three distributions. | ||
| Large/Medium | −0.256 | 0.166 | |
| Large/Small | 0.322 | ||
| Medium/Small | 0.389 | ||
| Number of traps | D value is greater than the absolute value of the greatest difference between each pair; cannot conclude the presence of significant difference between the three distributions. | ||
| Less than 100/100–120 | 0.173 | 0.205 | |
| Less than 100/More than 120 | 0.19 | ||
| 100–120/More than 120 | −0.144 | ||
3.3. Second Degree Stochastic Dominance (SSD)
| Fishing methods | Traps | Threads | Nets | SSD dominance ranking |
|---|---|---|---|---|
| Traps | -- | Dominant | Dominant | 1 |
| Threads | Not Dominant | -- | Not Dominant | 3 |
| Nets | Not Dominant | Dominant | -- | 2 |
| Trap size | Large | Medium | Small | SSD dominance ranking |
| Large | -- | Dominant | Dominant | 1 |
| Medium | Not Dominant | -- | Dominant | 2 |
| Small | Not Dominant | Not Dominant | -- | 3 |
| Number of traps | 100 traps or less | More than 100 to 120 traps | More than 120 traps | SSD dominance ranking |
| 100 traps or less | -- | Not Dominant | Not Dominant | 3 |
| More than 100 to 120 traps | Dominant | -- | Not Dominant | 2 |
| More than 120 Traps | Dominant | Dominant | -- | 1 |
3.4. Stochastic Dominance with Respect to a Function (SDRF)
| Management alternatives | Efficient set ranking with an absolute risk aversion coefficient = 0.0 | Efficient set ranking with an absolute risk aversion coefficient = 0.004 |
|---|---|---|
| Fishing methods | ||
| Thread | Most Preferred | Most Preferred |
| Traps | 2nd Most Preferred | 2nd Most Preferred |
| Nets | 3rd Most Preferred | 3rd Most Preferred |
| Trap size | ||
| Large | Most Preferred | 3rd Most Preferred |
| Medium | 2nd Most Preferred | 2nd Most Preferred |
| Small | 3rd Most Preferred | Most Preferred |
| Number of traps | ||
| More than 120 traps | Most Preferred | Most Preferred |
| More than 100 to 120 traps | 2nd Most Preferred | 2nd Most Preferred |
| 100 traps or less | 3rd Most Preferred | 3rd Most Preferred |
3.5. Stochastic Efficiency with Respect to a Function (SERF)



4. Summary and Conclusions
Author Contribution
Conflicts of Interest
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Fathelrahman, E.; Basarir, A.; Gheblawi, M.; Sherif, S.; Ascough, J., II. Economic Risk and Efficiency Assessment of Fisheries in Abu-Dhabi, United Arab Emirates (UAE): A Stochastic Approach. Sustainability 2014, 6, 3878-3898. https://doi.org/10.3390/su6063878
Fathelrahman E, Basarir A, Gheblawi M, Sherif S, Ascough J II. Economic Risk and Efficiency Assessment of Fisheries in Abu-Dhabi, United Arab Emirates (UAE): A Stochastic Approach. Sustainability. 2014; 6(6):3878-3898. https://doi.org/10.3390/su6063878
Chicago/Turabian StyleFathelrahman, Eihab, Aydin Basarir, Mohamed Gheblawi, Sherin Sherif, and James Ascough, II. 2014. "Economic Risk and Efficiency Assessment of Fisheries in Abu-Dhabi, United Arab Emirates (UAE): A Stochastic Approach" Sustainability 6, no. 6: 3878-3898. https://doi.org/10.3390/su6063878
APA StyleFathelrahman, E., Basarir, A., Gheblawi, M., Sherif, S., & Ascough, J., II. (2014). Economic Risk and Efficiency Assessment of Fisheries in Abu-Dhabi, United Arab Emirates (UAE): A Stochastic Approach. Sustainability, 6(6), 3878-3898. https://doi.org/10.3390/su6063878
