Integrating Clustering and Hybrid Nonparametric Path Modeling for Waste Management Behavior in Batu City
Abstract
This study formulates a hybrid nonparametric path analysis utilizing truncated spline-Fourier series integrated with Fuzzy C-Means clustering methodologies to investigate nonlinear behavioral patterns in community-based waste management. The model was utilized on survey data from 210 respondents in Bumiaji District, Batu City, encompassing Environmental Quality, Use of Waste Banks, Use of the 3R Principles, and Economic Benefits from Waste. Two distinct behavioral groups with varying emphasis on Use of Waste Banks and Environmental Quality were identified by the analysis. The hybrid model obtained a high coefficient of determination (0.891) and captures nonlinear relationships more successfully than the traditional linear approach. These results emphasize how crucial nonlinear behavioral dynamics are in influencing waste management behavior/decisions. The proposed framework helps local governments create more focused and efficient waste-management plans by offering a useful and adaptable analytical for understanding community behavior.
Keywords
Full Text:
PDFReferences
A. Istiqamah, T. Noor, and P. Sukowati, “Study of household scale waste management in Batu City, Indonesia: Implementation of Batu mayor’s regulation on household waste management policy,” International Journal of Advanced Science Research and Engineering, vol. 8, no. 2, pp. 23–29, 2022, doi: 10.31695/IJASRE.2022.8.2.3
I. Y. Prastya, “Co-production in waste management through waste bank programs in Batu City,” Journal of Local Government Issues, vol. 2, no. 2, pp. 149–160, 2024, doi: 10.22219/logos.vol2.no2.149-167.
Y. Zahrah, J. Yu, and X. Liu, “How Indonesia’s cities are grappling with plastic waste: An integrated approach toward sustainable plastic waste management,” Sustainability, vol. 16, no. 10, pp. 3921, 2024, doi: 10.3390/su16103921.
H. Kamaruddin, Maskun, F. Patittingi, H. Assidiq, S. N. Bachril, and N. H. A. Mukarramah,
“Legal aspect of plastic waste management in Indonesia and Malaysia: Addressing marine plastic debris,” Sustainability, vol. 14, no. 12, p. 6985, 2022, doi: 10.3390/su14126985.
E. Sembiring, M. R. Fenitra Rakotoarisoa, A. R. Dangkua, et al., “Improving household waste management in Indonesia: A mixed-methods approach for waste sorting,”
Recycling, vol. 10, no. 10, p. 100185, 2024, doi: 10.1016/j.clwas.2024.100185.
P. Pongpunpurt, P. Muensitthiroj, and P. Pinitjitsamut, “Studying waste separation behaviors and environmental impacts toward sustainable solid waste management,” Sustainability, vol. 14, no. 9, p. 5040, 2022, doi: 10.3390/su14095040.
U. Rohma, A. A. R. Fernandes, S. Astutik, and Solimun, “Development of nonparametric path function using hybrid truncated spline and kernel for modeling waste-to-economic value behavior,” Barekeng: Jurnal Ilmu Matematika dan Terapan, vol. 19, no. 1, pp. 331–344, 2025, doi: 10.30598/barekengvol19iss1pp331-344.
A. Budiyarto, C. Beverley, and K. Ross, “Overview of waste bank application in Indonesian regencies,” Waste Management & Research: The Journal for a Sustainable Circular Economy, vol. 43, no. 3, pp. 1298–1310, 2025, doi: 10.1177/0734242X241242697.
M. Alaghemandi, “Sustainable solutions through innovative plastic waste recycling technologies,” Sustainability, vol. 16, no. 23, p. 10401, 2024, doi: 10.3390/su162310401.
A. Budiyarto, “Enhancing solid waste management system through waste banks: A strategy for increasing household waste recycling in Indonesia,” Environmental Research Communications, vol. 4, no. 3, 2023.
M. T. Rahman, S. Ghosh, and P. Singh, “Modeling determinants of waste sorting behavior: A path analysis approach,” Journal of Environmental Management, vol. 307, no. 1, p. 114539, 2022, doi: 10.1016/j.jenvman.2022.114539.
H. S. Kwon, J. H. Lee, and S. Y. Kim, “Applying path analysis to examine factors influencing pro-environmental behavior in urban communities,” Sustainability, vol. 13, no. 24, p. 13677, 2021, doi: 10.3390/su132413677.
D. A. Adyatama, S. Solimun, S. Efendi, N. Nurjannah, and M. B. T. Mitakda, “Estimated path analysis parameters using weighted least square to overcome heteroskedasticity at various sample sizes,” Journal of Statistics Applications & Probability, vol. 12, no. 2, pp. 345–356, 2023, doi: 10.18576/jsap/120223.
Solimun, "Analisis multivariat pemodelan struktural metode partial least square (PLS)". Malang, Indonesia: CV Citra, 2010.
A. Hermawati, “Marketing strategy with path analysis in increasing competitive advantage in tourism industry SMEs in East Java,” Journal of Theoretical and Applied Information Technology, vol. 100, no. 20, pp. 5935–5944, 2022.
A. A. R. Fernandes and Solimun, "Analisis regresi dalam pendekatan fleksibel: ilustrasi dengan paket program R". Malang: Universitas Brawijaya Press, 2021.
A. Iriany and A. A. R. Fernandes, “Hybrid Fourier series and smoothing spline path non-parametric modelling,” Frontiers in Applied Mathematics and Statistics, vol. 9, pp. 1–10, 2023, doi: 10.3389/fams.2022.1045098.
R. Ruliana, R. Maru, Z. Rais, and A. Saleh Ahmar, “Integration of SEM and nonparametric spline in spatial data modeling and visualization for analysis of CO₂ reduction through green space in Makassar City,” International Journal on Informatics Visualization, vol. 9, no. 3, pp. 1319-1329, 2025, doi: 10.62527/joiv.9.3.3807.
M. Fidino, A. Hargrove, M. P. Anderson, and J. L. Martin, “Using Fourier series to estimate periodic patterns in dynamic occupancy models,” Ecological Applications, vol. 27, no. 6, pp. 1827–1834, 2017, doi: 10.1002/ecs2.1944.
K. A. Yasa, I. N. Suparta, and A. A. N. G. S. Sapteka, “Pemodelan multiple pulse width modulation berbasis Fourier series untuk jumlah pulsa sebanyak tiga,” Jurnal Simetrik Politeknik Negeri Madiun, vol. 14, no. 2, pp. 873–876, 2024, doi: 10.31959/js.v14i2.2669.
M. Yasir, U. K. Zaheer, H. U. Rehman, and S. Z. Ali, “Machine learning–assisted efficient demand forecasting in supply chains: role of exogenous indicators,” International Journal of Production Research, vol. 62, no. 21, pp. 6671-6688, 2024, doi: 10.1080/13675567.2022.2100334.
Solimun, A. A. R. Fernandes, and Nurjannah, "Metode statistika multivariat: pemodelan persamaan struktural (SEM) pendekatan WarpPLS". Malang: UB Press, 2017.
A. A. Puspitasari, A. A. R. Fernandes, A. Efendi, S. Astutik, and E. Sumarminingsih, “Development of nonparametric truncated spline at various levels of autocorrelation of longitudinal generating data,” Journal of Statistical and Applied Probability (J. Stat. Appl. Pro), vol. 12, no. 2, pp. 757–766, 2023, doi: 10.18576/jsap/120234.
L. P. Inasari, M. Irwan, W. Abidin, and W. Alwi, “Model regresi nonparametrik dengan pendekatan deret Fourier pada kasus tingkat kemiskinan di Sulawesi Selatan,” Jurnal MSA (Matematika dan Statistika serta Aplikasinya), vol. 12, no. 2, pp. 79–87, 2024, doi: 10.24252/msa.v12i2.51107.
S. P. Aditiyo, E. Sumarminingsih, and R. Fitriani, “Fuzzy C-Means in content-based document clustering for grouping general websites based on their main page contents,” ComTech: Computer, Mathematics and Engineering Applications, vol. 14, no. 2, pp. 87–96, 2023, doi: 10.21512/comtech.v14i2.9732.
A. S. Suriaslan, I. N. Budiantara, and V. Ratnasari, “Nonparametric regression estimation using multivariable truncated splines for binary response data,” MethodsX, vol. 14, p. 103084, 2025, doi: 10.1016/j.mex.2024.103084.
M. A. Juniar, A. Fania, D. Ulya, R. Ramadhan, and N. Chamidah, “Modelling crime rates in Indonesia using truncated spline estimator,” Barekeng: Journal of Mathematics and Its Applications, vol. 18, no. 2, pp. 1201–1216, 2024, doi: 10.30598/barekengvol18iss2pp1201-1216.
N. I. R. Wisisono, A. I. Nurwahidah, and Y. Andriyana, “Regresi nonparametrik dengan pendekatan deret Fourier pada data debit air Sungai Citarum,” Jurnal Matematika MANTIK, vol. 4, no. 2, pp. 75–82, 2018, doi: 10.15642/mantik.2018.4.2.75-82.
L. R. Khairunnisa, A. Prahutama, and R. Santoso, “Pemodelan regresi semiparametrik dengan pendekatan deret Fourier (studi kasus: Pengaruh indeks Dow Jones dan BI rate terhadap indeks harga saham gabungan),” Jurnal Gaussian, vol. 9, no. 1, pp. 50–63, 2020, doi: 10.14710/j.gauss.14.2.302-313.
M. Zulfadhli, I. N. Budiantara, and V. Ratnasari, “Nonparametric regression estimator of multivariable Fourier series for categorical data,” MethodsX, vol. 13, p. 102983, 2024, doi: 10.1016/j.mex.2024.102983.
Y. N. Fuadah, I. D. Ubaidullah, N. Ibrahim, F. F. Taliningsing, N. K. Sy, and M. A. Pramuditho, “Optimasi convolutional neural network dan k-fold cross validation pada sistem klasifikasi glaukoma,” ELKOMIKA: Jurnal Teknik Energi Elektrik, Teknik Telekomunikasi, dan Teknik Elektronika, vol. 10, no. 3, p. 728, 2022, doi: 10.26760/elkomika.v10i3.728.
A. Nugroho and A. Amrullah, “Evaluasi kinerja algoritma k-NN menggunakan k-fold cross validation pada data debitur KSP Galih Manunggal,” JINTEKS: Jurnal Informatika Teknologi dan Sains, vol. 5, no. 2, pp. 294–300, 2023, doi: 10.51401/jinteks.v5i2.2506.
J. White and S. D. Power, “K-fold cross-validation can significantly over-estimate true classification accuracy in common eeg-based passive bci experimental designs: An empirical investigation,” Sensors, vol. 23, no. 13, p. 6077, 2023. doi: 10.3390/s23136077
R. Caro-Carretero, A. Carnicero, J. R. Jiménez-Octavio, and D. Cousineau, “Utilizing jackknife and bootstrap to understand tensile stress to failure of an epoxy resin,” Quality Engineering, vol. 36, no. 4, pp. 726–742, 2024. doi: 10.1080/08982112.2023.2286500.
DOI: http://dx.doi.org/10.30829/zero.v10i1.26671
Refbacks
- There are currently no refbacks.
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Publisher : Department of Mathematics Faculty of Science and Technology Universitas Islam Negeri Sumatera Utara Medan | ||||
| ||||
 |  |  |  |  |