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Tourists and traditional divers in a common fishing ground

Model Type
SES Library XPP model

A social-ecological model of a fishing ground open to eco-tourism is presented here. To assess the impact of introducing eco-tourism on the welfare of the fishing association and on the resource level, Lee and Iwasa (2011) constructs a model in which the fishing association charges an entrance fee to tourists. The level of the fee is chosen to regulate tourist number as well as maximing benefits accrued to the fishing association (combined revenue from tourism and conventional fishing by traditional fishers).

Reference
Lee, J.-H., & Iwasa, Y. (2011). Tourists and traditional divers in a common fishing ground. Ecological Economics, 70(12), 2350-2360. Elsevier B.V. doi:10.1016/j.ecolecon.2011.07.013
Scenarios

One interesting case is explored here. Under certain parameter choices, there could be a conflict of interest between traditonal fishers and the fishing association because the total benefit to the fishing association (revenue from tourism and fishing) and the benefits to traditional fishers (revenue from fishing only) are maximized at different parameter values. To see this, set F=1, to=10, alpha=1, p=1, a=0.1, b=1, beta=0.5, r=2, K=100, and q=1. View the change of auxiliary variable 'total benefit' in the y-axis as q (entrance fee) is varied from 0 to 25. Clearly, the total benefit to the fishing association is maximized when q=11. Now, view the change of auxilary variable 'divers' benefit' in the y-axis as q (entrance fee) is varied from 0 to 25. The benefit to traditional fishers is maximized when q=25. Therefore, there occurs a conflict of interest between traditional divers and the fishing association.

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$$\Large \frac{dX}{dt}=rX \left (1-\frac{X}{K} \right )-aFX-bTX$$
$$\Large T=t_{o}X^{\alpha}e^{-\beta q}$$
$$\Large \phi = paFX+qT$$
$$\Large \phi_{divers}=paFX$$
tourists_and_traditional_divers_in_a_common_fishing_ground.ode
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