Proceedings of MatricesFor IITTEP – ICoMaNSEd 2015
ISBN: 978-602-74204-0-3
Physics Page 260
Figure 2. Flowchart of Data Processing
Satellite  radiance  conversion  became  effective  temperature  using  equation  5,  followed  by the emissivity correction to calculate the surface temperature using equation 6.
 
 
 
 
1 ln
1 2
L K
K T
5
T = temperature effective satellite K1, K2 = constant calibration
L   = spectral radiancethe sensor w  m
2
.sr.μm.
Emissivity correction to calculate the surface temperature using equation 6.
 
ln 1
T T
T
s
 
6
T
s
= temperature of the surface = wavelength of the emission radiation
= 1.438 x 10
-2
mK Planck constant h = 6.3 x 10
-34
J.detik σ = Stefan Boltzmann constant 1.38 x 10
-23
J  K c = speed of light 3 x 10
8
m  sec ε = emissivity 0.95
3. Result and Discussion
The  results  showed  that  high  temperatures  are  in  the  northern  part  of  the  crater  Mahawu recording is done in 2010, 2011, and 2014. In 2010 the surface temperature of the area around
the summit of the mountain ranges Mahawu 23.2°C and distribution centered in the northern part of the crater.  In 2011 the highest temperature was in the range of 25.8°C with a spread
Proceedings of MatricesFor IITTEP – ICoMaNSEd 2015
ISBN: 978-602-74204-0-3
Physics Page 261
pattern that is different from the previous year that is more directed to the  North - Northeast N-NE. In 2014 the highest temperature in the range of 25.2°C.,the spreading leads to NE.
Based  on  the  results  of  the  recording  and  mapping  in  three  different  years,  shows  that  the temperature around the Mahawu volcano peak relative increase, but a decrease in 2014 but the
decreasing relatively small. The spreading heat pattern from year to year tends to lead to the NE Figure 3.
Figure 3. Temperature Distribution of Mahawu Volcano in Three Different Years
4. Conclusion
The result of mapping and analysis shows that the thermal anomaly zone located on the north section of Mahawu volcano peak, and the flow of heat laterally trend to the northeast.
References
Bujung,  C.A.N.,  Singarimbun,  A.,  Muslim,  D.,  Hirnawan,  F.,    Sudradjat,  A.  2010 Karakteristik Spektral Permukaan Daerah Panas Bumi [Spectral Characteristics of the
Geothermal  Surface  Area].  Proceedings  of  National  Seminar  on  Physics,  pp.10-17. [Bahasa Indonesia]
Bujung, C.A.N., Singarimbun, A., Muslim, D., Hirnawan, F.,  Sudradjat, A. 2011. Analisis data Multispektral untuk Identifikasi Potensi Panas Bumi [Multispectral Data Analysis
for  the  Identification  of  Geothermal  Potention].  Journal  of  Bionatura  Vol.13  No.1. [Bahasa Indonesia]
Calvin,  M.,  Coolbaugh,  M.,  Kratt,  Ch.,    Vaughan,  R.G.  2007.  Application  of  Remote Sensing Technology to Geothermal Exploration. Nevada: GBCGE and Department of
Geological Sciences University of Nevada. Haselwimmer,  C.    Prakash,  A.  2012.  Thermal  Infrared  Remote  Sensing  of  Geothermal
Systems. Alaska: Geophysical Institute, University of Alaska Fairbanks Lillesand,  T.M,  Kiefer  R.W.,    Chipman,  J.W.  2004.  Remote  Sensing  and  Image
Interpretation 5ed. New York: John Wiley and Sons.
Proceedings of MatricesFor IITTEP – ICoMaNSEd 2015
ISBN: 978-602-74204-0-3
Physics Page 262
Poedjo  Prajitno,  S.  2012.  Morphostructure  Control  Towards  the  Development  of  Mahawu Volcanic  Complex,  North  Sulawesi.  Indonesian  Journal  of  Geology,  Vol.  7,  No.  1,
pp.39-54. Siahaan,  E.E.,  2005.  Tectonism  and  Volcanism  Study  in  the  Minahasa  Compartment  of  the
North  Arm  of  Sulawesi  Related  to  Lahendong  Geothermal  Field,  Indonesia. Proceedings World Geothermal Congress. Antalaya Turkey,
p5. Yu-Jun Zhang  Fo-Jun Yao. 2015. Interpreting the Shortwave Infrared  Thermal  Infrared
Regions  of  Remote  Sensed  Electromagnetic  Spectrum  with  Application  for  Mineral- Deposits  Exploration.  Journal  of  Applied  Mathematics  and  Physics,  Vol.3,  pp.254-
261.
Proceedings of MatricesFor IITTEP – ICoMaNSEd 2015
ISBN: 978-602-74204-0-3
Physics Page 263
WTP-WTA INSTRUMENT FOR CONTROLLING THE TOURISM DESTINATION LIFE-CYCLE
Paulus A. Pangemanan
1
, Christophil S. Medellu
2
1
Department of Agribusiness, Faculty of Agriculture, Sam Ratulangi University, Manado, Indonesia
2
Department of Physics, Faculty of Mathematics and Sciences, State University of Manado adrian.pangemanangmail.com
Abstract The sustainable development of tourism destination is depends on the equilibrium of economic aspects
and the natural resources conservation. Controlling this equilibrium can focused on the Willingness to Pay  WTP  of  tourist  versus  the  Willingness  to  Accept  WTA  of  community,  supported  by
government and the tourism business. In 2012 the authors formulate a model of instrument to control the  collinearity  of  WTP  -  WTA  vectors  plotted  in  two  dimensions,  which  its  abscissa  the  value  of
resources conservation and the ordinate is the economy economic growth. Data for plotting the WTP and WTA vector derived from indicators for the conservation of natural resources destination and the
economy which were converted to the rupiah. Tourist needs will be met if the vector of WTP co-linear or  nearly  co-linear  with  the  vector  of  WTA.  Management  leads  to  economic  exploitation  if  the  two
vectors  are  closer  to  the  axis  of  the  economy.  Management  will  ensure  the  longer  utilization  of resources if the two vectors closer to the axis of conservation. Simulation of the model to the Bunaken
National  Park  shows  three  scenarios:  1  faster  economic  growth,  with  faster  accession  of  optimal utilization  limit,  2  proportional  and  natural  growth  as  existing  condition,  3  normal  economic
growth  with  longer  accession  of  optimal  utilization  limit.  This  instrument  models  can  be  applied  or adapted in the analysis and control of the utilization of other resources that have a significant impact
on natural resources and environmental degradation Keywords:
Sustainable development, tourism destination, willingness to pay, willingness to accept.
1. Introduction