n n
X X
X X
Q ln
... ln
ln ln
ln
3 3
2 2
1 1
1 1
3 3
2 2
ln ln
... ln
ln ln
X X
X X
Q
n n
1 1
ln ln
X Q
…………………………………….. 8 b Transforming back into the form of demand function from equation equation
1, to obtain the function of the use of coral reef resources and the integration with the coefficients of socioeconomic variables indicated by equation 9 the
following:
1 1
X Q
..................................................................................9
c Estimate the total willingness to pay Score Resource Economics
dQ Q
f U
a
………..................………………………………..10 Annotation :
U : utility value of resources or total WTP of potential utilization of fish
resources in the conservation area, fQ
: demant function
a
: limit the amount of average resources consumed d Estimating the value of consumer surplus CS which is the direct value of
reef fishery resource use per unit of the individual as follows:
PQ U
CS
……..................………......………… 11 Q
X Pt
1
Annotation : CS
: consumer surplus which is the direct value of reef fishery resource utilization
Pt : price paid,
Q : The average amount of resources consumed requested
X
1
: price per unit of resource consumed requested
3.5.2.3. Analysis Model of Coral Reef Fish System
Determination of limit models here are based on a review of the basic model and the issues raised in a case, which includes several main components, namely
the carrying capacity of the environment, fish resources, fishing effort, market and infrastructure. To facilitate an understanding of determining the limits of this
model, then developed a simple model built to illustrate a concept thought of developing a model, in which already incorporates all the sub-sub-model into a
model is intact, as shown in Figure 7.
Figure 7. Causal loop development model of reef fishery This model tries to combine the economic approach and analysis of fish
population dynamics. Economic approach usually concentrates on the analysis of the property where there is a balance point, but on this model again enriched by
experimental research and try to show how if both are combined to predict the sensitivity of modeling results in order to get a specific model, initial conditions,
empirical estimates, and guide data collection, analysis, and how to make policy.
4. GENERAL CONDITION
4.1. Geographic Location and Administrative Area
Liwutongkidi Island or commonly named by the people of Buton as Ular Island is a small island that lies between Kadatua Island and Siompu Island. All
the three islands have a bottom structure of coastal waters that are not quite different. The coastal beaches with sandstone walls are spread across the Islands
of Kadatua and Siompu. Also we could find small white sandy beaches in those three islands.
Liwutongkidi Island is covering an area of 101.88 km
2
and coastal line of 4747 m. Geographically, Liwutongkidi is located at 05 035 23 LS-05 035 59
LS and 122 029 57 BT-12203051 BT with the boundary area: the western side is bordered by the Strait of Sulawesi, the northern side is bordered by Kadatua
island, the Eastern side is bordered by Buton island, and the southern side is bordered by Siompu island. Physically, the island of Liwutongkidi is categorized
as a small and uninhabited island, therefore the coverage area of demographic data survey is comprise of Kadatua and Siompu District. The Administrative
boundaries of Kadatua and Siompu District can be seen on Table 6.
Table. 6 Administrative boundaries of Siompu and Kadatua District No. District
Boundary area North
South East
West 1
Siompu Kec. Kadatua
Laut Flores Kec. Batauga Laut Flores
2 Kadatua
Selat Buton Kec. Siompu
Kec. Batauga Laut Flores
Source : BPPS Buton, 2009
Liwutongkidi Island ecosystem have a flat to a steep topography. On the flat area, the substrate condition is mixture between sand and soil, while on the
steep area is dominated by rock. On the flat area the eastern part of Liwutongkidi Island commonly found pandan vegetation, various species of grasses, climbing
plants herbs and coconut. On the steep topography the western island of Liwutongkidi is generally overgrown by various kinds of bushes plants. While in
the center of the island is overgrown by vegetation which varied in composition and structure.
On Liwutongkidi Island are found several animal species such as canary crabs and some species of snake. Meanwhile there is a migration path of dolphins
and turtles on the western waters of Liwutongkidi island. On the island of Liwutongkidi there is also a well, as a source of fresh water for communities
surround the main island, community of Kapoa Village District of Kadatua.
4.2. Physical Condition
Kadatua Island, Siompu Island, and Liwutongkidi Island have a tropical climate and located on the equator. Temperature during the day is hot and high
intensity of rainfall. The rainy season is influenced by the west monsoon that occurred in December to April, characterized by high rainfall, large waves and
strong winds. In this season, the wind blows from Asia and Pacific Ocean. While the dry season occurs from June to September, the east monsoon blows from the
dry Australian continent. In April-May the wind direction and rainfall is erratic, known as the transitional season.
The depth of the coastal water in Kadatua, Siompu and Liwutongkidi are varied from one region to another with a depth between 1-1000 m. The condition
of coastal water in the east season is largely determined by the pattern of current and wave that moved from the Makassar Strait into the Banda Sea, on the contrary
in the west season there is a flow movement from the Makassar Strait, entering Flores Sea into Banda Sea.
4.3. Biophysical Condition 4.3.1. Coral Reef Condition
Coral reef in Siompu, Liwutongkidi and Kadatua coastal water is the type of fringing reef. The form of coral colony that is found are massive coral,
branching, encrusting, and fallacious. Based on observations by Anonimous 2003, percentage of live coral
cover on the reef flat at the depth of 3 meters generally was in good condition 50 and even at several observational site was in the category of very good
