Optimizing Forest Sampling by using Lagrange Multipliers

Penulis

  • Suhud Wahyudi Institut Teknologi Sepuluh Nopember
  • Farida Agustini Widjajati Institut Teknologi Sepuluh Nopember
  • Dea Oktavianti Institut Teknologi Sepuluh Nopember

Abstrak

To obtain information from a population, we use a sampling method. One of sampling techniques that we can use is double sampling. Double sampling is a sampling technique based on the information of first phase which is used as an additional information obtaining estimates for the second phase. In this case, we discuss the model of double sampling with regression estimator. Then, to obtain the optimal number of samples for the first and second phases, we use Lagrange multipliers. The model analysis result is a formula to calculate the optimal number of samples for the first phase (n0) and the second phase (n1). Implementation of this method is simulated by using teak stands data from previous studies at Forest Management Unit (FMU) Madiun which consists of Section Forest Management Units (FSMU) Dagangan and Dungus. The calculation result of data from FSMU Dagangan, we get optimal number of plots must be observed in image interpretation are 149 plots and field survey are 14 plots. And with the data from FSMU Dungus, we get optimal number of plots to be observed in image interpretation are 153 plots and field survey are 20 plots.

Referensi

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P. Malamassam, Modul Mata Kuliah Inventarisasi Hutan. Makassar: Hasanuddin University, 2009.

K. Kitikidou, “Optimizing forest sampling by using Lagrange multipliers,” American Journal of Operations Research, vol. 2, no. 1, pp. 94–99, 2012.

S. Makridakis, S. Wheelwright, and V. McGee, Metode dan Aplikasi Peramalan Jilid 1 (Ir. Untung Sus Ardiyanto, M. Sc. & Ir. Abdul Basith, M. Sc. Terjemahan). Jakarta: Erlangga, 1999.

P. de Vries, Sampling Theory for Forest Inventory. Wageningen: Wageningen Agricultural University, 1986.

D. Luknanto, Pengantar Optimasi Non Linier. Yogyakarta: Gajah Mada University, 2000.

Diterbitkan

2017-08-15

Cara Mengutip

Wahyudi, S., Widjajati, F. A., & Oktavianti, D. (2017). Optimizing Forest Sampling by using Lagrange Multipliers. (IJCSAM) International Journal of Computing Science and Applied Mathematics, 3(2), 40–45. Diambil dari https://journal.its.ac.id/index.php/ijcsam/article/view/4557

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