Proceedings of MatricesFor IITTEP – ICoMaNSEd 2015
ISBN: 978-602-74204-0-3
Physics Page 265
destination will be varies according to the kind of destination. For the protected area, carrying capacity  was  based  on  the  number  of  tourists,  visitor  flows  and  spatial  patterns  of
concentrationdispersion along the functioning of ecosystems and the quality of experience of visitors Coccossis and Mexa, 2002. The debate on carrying capacity of tourist destinations,
among  others  related  tothe  maximum  number  of  people  or  tourism  in  any  given  space  at  a given time Libosada, 2009. Environmental experts promote the concept of carrying capacity
as the limits of acceptable change LAC qualitative and used as a baseline to determine the size  of  the  correction  or  environmental  protection  Libosada,  2009.    Setting  capacity  limits
for  sustaining  tourism  activity  in  a  place  involves  a  vision  about  local  development  and decisions about  managing tourism  Coccossis    Mexa 2002.   Environmental indicators  are
used  to  indicate  the  sensitivity  of  environment  and  development.  Indicators  form  a  set  of indicators index that help us to recognize on-going problems and propose corrective actions.
These  factors  are  translated  into  quantitative  or  semi-quantitative  values  which  measure  the adaptability of environmental, socio-
economic subsystem and tourists’ demand. Nghi et al., 2007.
In  2012,  the  authors  formulate  a  model  instrument  to  evaluate  the  willingness  of  tourists  to pay tourism products and services, and compensation for the conservation confronted with a
willingness to accept of the local community. Willingness to accept is the willingness of local communities to prepare the products, services and environmental protection activities with the
compensation given by tourist. This instrument can predict the product, activity, conservation and  compensation  that  tourists  backfire  and  be  accepted  by  local  communities.  The  output
becomes  the  input  to  evaluate  the  critical  limit  on  the  life-cycle  of  tourism  destinations.
Tourism destination life cycle developed from Buttler’s model, into a two-dimensional model based  on  economic-conservation  frame.  In  spite  of  this  instrument  was  developed  for
ecotourism,  but  can  be  extended  to  other  resource  management  with  adaptive  quantization indicator  and  economic  value.  This  article  discusses  methods  of  instrument  development,
analysis methods, and examples of its application in the Bunaken National Park as a marine park
2. Materials and Method
This instrument models are formulated based on the assumptions: 1 sustainable development guaranteed by balancing of economic growth with conservation of resources, 2 activities and
sustainable  tourism  products  is  guaranteed  by  a  rapprochement  between  the  tourist willingness  to  pay  WTP  with  willingness  to  accept  WTA  of  local  community.  For  the
analysis  of  ecotourism  destination  management,  the  factors  that  affect  and  are  affected  by such  social-cultural,  political  Libosada,  2009;  Diesendorf,  2000;  Barkauskiene    Snieska,
2013, Health related to pollution and waste Koens et al., 2009, are projected into dimension of  economic  growth  and  conservation.  Community-based  ecotourism  management  likes
CBET  develop  the  local  community  roles  in  setting  up  services  and  products  for  tourists Koens  et  al.,  2009;  Barkin,  2003.  The  strength  and  sustainability  of  ecotourism  is
determined  mainly  by  interaction  of  tourists  with  the  local  community  Wunder,  2000; Scheyvens, 1999; Barkin 2003, so it is important to reconcile rating of tourist willingness to
pay on services and tourism products with the willingness to accept of local community on the needs of tourists and the compensation given. Stages of formulation of WTP-WTA instrument
including the analysis, and its projection into two dimension of tourism destination life cycle are as follows:
1. Identification  and  analysis  of  existing  condition:  the  utilization  of  space,  activities
and  tourism  products.  Besides  for  problem  analysis,  these  steps  are  to  analyze  the
Proceedings of MatricesFor IITTEP – ICoMaNSEd 2015
ISBN: 978-602-74204-0-3
Physics Page 266
development opportunities, as well as to determine the position of destinations in the life cycle of ecotourism management as a foothold macro strategy
2. Identification  and  analysis  of  emerging  environmental  issues  and  systemic  impact,
as  well  as  alternative  solutions.  Identification  and  analysis  primarily  to  objects  or natural  resources  that  are  the  hallmark  but  prone  to  natural  degradation  or  due  to
human activity.
3. Identification and analysis of the utilization of alternative spaces, activities, services
and  product  diversification  that  ensures  conservation  and  transfer  of  pressure  from the  critical  resources.  Identification  and  analysis  relates  to  the  carrying  capacity  of
the object or the main tourist areas, which need to be controlled, while enhancing the tourist attraction support.
4. Formulation  of  activities  and  indicators  for  economic  growth  while  ensuring  the
conservation, based on the identification and analysis of items 1, 2, 3. 5.
WTP-WTA drafting instrument with the following format:
Tabel 1.  Format of WTP-WTA Drafting Instrument
Respondent: local communitytourist:                                                     date:
Activities products
Economic compensation Conservation compensation
weig ht
score weig
ht score
1  2 3  4
5  6 7  8
9 10
1 2
3 4
5  6 7
8 9
10
Note:  score 1:  not agree to pay or to accept, score 10: very agree to pay or to accept Weight 1: lowest priority, weight 5 highest priority
WTP and WTA vector data obtained by multiplying the weight and the scores for all activities and all respondents.
6. Mapping of vector WTP and WTA in the field of economic growth  - conservation,
with  support  and  control  by  the  government  including  universities  and  tourism businesses
7. Analysis  of  WTP-WTA  rapprochement  as  a  guarantee  of  adherence  of  choose
activities. Assumptions: activities will be carried out if there is a match between the activities that backfire and willingness to pay by tourists WTP with a  willingness
to  accept  and  carry  out  the  activities  by  the  local  community  WTA.  The  level  of conformity  is  shown  by  the  degree  of  collinearity  or  collinearity  index  of  vector
product  WTP.WTA  in  the  economic-conservation  coordinate.  The  maximum
-150 -100
-50 50
100 150
-150 -100
-50 50
100 150
WTP
WTA
Figure 1.  WTP and WTA vector in economic growth-conservation  coordinate conservation value
economic growth
value government and
tourism business suppot
government and tourism business
suppot
Proceedings of MatricesFor IITTEP – ICoMaNSEd 2015
ISBN: 978-602-74204-0-3
Physics Page 267
conformance  level  maximum  probability  of  activity  carried  out  if  the  collinearity index = -1 or WTP.WTA = -
│WTP││WTA│. To achieve the condition of WTP- WTA  collinear  or  nearly  collinear,  needed  the  role  of  government,  including
universities and tourism businesses to facilitate and control the activities that tourists backfire  and  accepted  by  society.  The  formulation  of  the  role  of  government  and
other institutions as well as tourism businesses, are based on activities and products which  choose  by  tourist  and  the  local  community.  The  role  of  government,  among
others;  establish  policiesregulations,  build  supporting  infrastructure,  directing  and controlling the use of space, monitor and supervise waste and environmental impact,
empowering  community,  socialize  the  program  etc.  The  role  of  tourism  business include:  investments,  business  partnerships,  technical  guidance  for  the  community,
promotion and marketing, etc.
8. Simulation  of  integration  of  activities  WTP-WTA  as  instrument  output  in  control
planning  and  destination  development,  and  analysis  of  accession  of  resources utilization  limit.  Figure  2  shows  the  life  cycle  of  tourism  destination  according  to
Buttler  Pangemanan,  2012;  Director  General  of  Tourism  Destinations,  2015.This destination life cycle corresponds to economic growth or revenues and the utilization
of resources and environmental impacts. Boundary conditions of stagnation visit in Figure-2,  corresponding  to  the  limits  of  economic  growth  and  limit  the  carrying
capacity of natural resources and the environment. The author to modify the Buttler model of life cycle into two-dimensional time based, that is economic growth versus
resources  conservation.  This  two-dimensional  model  of  destination  life  cycle analysis  may  indicate  the  accession  of  optimum  resources  utilization  for  various
alternative scenarios of WTP-WTA.  The limit of optimal utilization of resources is the  stagnant  economic  conditions  which  associate  with  the  carrying  capacity  of
destinations.
Ecotourism  management  should  be  able  to  bring  the  two  sides  or  the  dimensions  of  this management. Life cycle model in economic growth-conservation coordinate was presented in
Figure-3.
Figure 2. Buttler model of tourism destination life cycle Source: DirjenPengembanganDestinasiPariwisata,
KementrianPariwisata
Proceedings of MatricesFor IITTEP – ICoMaNSEd 2015
ISBN: 978-602-74204-0-3
Physics Page 268
3. Result and Discussion