CLIMATE COMFORT INDEX ANALYSIS USING SPATIO-TEMPORAL PCA-FASTMCD METHOD
Abstract
This study addresses the challenge of modeling spatio-temporal climate data that are often affected by outliers, which significantly bias conventional principal component analysis. The main contribution of this research is not merely the application of Spatio-Temporal Principal Component Analysis (STPCA), but its novel integration with the Fast Minimum Covariance Determinant (FASTMCD) method to obtain robust spatio-temporal components that are resilient to outliers in Bali’s climate data. The core methodology involves transforming four climate variables (thermal comfort, cloud cover, rainfall, and wind speed) from 24 stations in Bali (2010–2019) using Fourier basis expansion, applying spatial weighting, and utilizing robust covariance estimation via FASTMCD. The results indicate that the Inverse Power Distance (IPD) weighting scheme optimally captures the spatial structure. Furthermore, the first robust principal component (STPC1) reveals the dominant climate variability, which is driven primarily by thermal comfort and wind speed. This component successfully highlights a clear spatial differentiation between coastal lowland and highland regions despite the presence of extreme observations. These findings imply that the robust STPCA-FASTMCD framework provides a highly stable representation of regional climate patterns, offering a reliable analytical tool for developing climate comfort indices and supporting climate-informed tourism planning in tropical regions.
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References
W. K. Härdle and L. Simar, “PRINCIPAL COMPONENTS ANALYSIS,” in Applied Multivariate Statistical Analysis, Cham: Springer International Publishing, 2019, pp. 299–336. doi: https://doi.org/10.1007/978-3-030-26006-4_11
M. Krzyśko, P. Nijkamp, W. Ratajczak, W. Wołyński, and B. Wenerska, “SPATIO-TEMPORAL PRINCIPAL COMPONENT ANALYSIS,” Spat. Econ. Anal., vol. 19, no. 1, pp. 8–29, 2024. doi: https://doi.org/10.1080/17421772.2023.2237532.
S. Stahlschmidt, W. K. Härdle, and H. Thome, “AN APPLICATION OF PRINCIPAL COMPONENT ANALYSIS ON MULTIVARIATE TIME-STATIONARY SPATIO-TEMPORAL DATA,” Spat. Econ. Anal., vol. 10, no. 2, pp. 160–180, 2015. doi: https://doi.org/10.1080/17421772.2015.1023339.
F. Janatabadi and A. Ermagun, “ACCESS WEIGHT MATRIX: A PLACE AND MOBILITY INFUSED SPATIAL WEIGHT MATRIX,” Geogr. Anal., pp. 746–767, 2024. doi: https://doi.org/10.1111/gean.12395
N. Yu and T. Haskins, “KNN, AN UNDERESTIMATED MODEL FOR REGIONAL RAINFALL FORECASTING,” 2021, [Online]. Available: http://arxiv.org/abs/2103.15235
E. Ozelkan, G. Chen, and B. B. Ustundag, “SPATIAL ESTIMATION OF WIND SPEED: A NEW INTEGRATIVE MODEL USING INVERSE DISTANCE WEIGHTING AND POWER LAW,” Int. J. Digit. Earth, vol. 9, no. 8, pp. 733–747, 2016. doi: https://doi.org/10.1080/17538947.2015.1127437
P. J. Rousseeuw and M. Hubert, “ANOMALY DETECTION BY ROBUST STATISTICS,” Wiley Interdiscip. Rev. Data Min. Knowl. Discov., vol. 8, no. 2, pp. 1–14, 2018. doi: https://doi.org/10.1002/widm.1236.
J. T. Abatzoglou, S. Z. Dobrowski, and S. A. Parks, “MULTIVARIATE CLIMATE DEPARTURES HAVE OUTPACED UNIVARIATE CHANGES ACROSS GLOBAL LANDS,” Sci. Rep., vol. 10, no. 1, pp. 1–9, 2020. doi: https://doi.org/10.1038/s41598-020-60270-5.
D. I. Purnama and P. R. Sihombing, “PERBANDINGAN ANALISIS KOMPONEN UTAMA DAN ROBUST PCA (ROBPCA),” J. Bayesian J. Ilm. Stat. dan Ekon., vol. 1, no. 1, pp. 67–76, 2021. doi: https://doi.org/10.46306/bay.v1i1.7.
D. Scott, M. Rutty, B. Amelung, and M. Tang, “AN INTER-COMPARISON OF THE HOLIDAY CLIMATE INDEX (HCI) AND THE TOURISM CLIMATE INDEX (TCI) IN EUROPE,” Atmosphere (Basel)., vol. 7, no. 6, 2016. doi: https://doi.org/10.3390/atmos7060080.
N. M. Hidayat, R. Hidayati, A. Turyanti, and S. F. Al Maula, “MODIFICATION OF THE THERMAL COMFORT INDEX BASED ON PERCEPTIONS FOR URBAN TOURISM AROUND JAKARTA,” J. Meteorol. dan Geofis., vol. 25, no. 1, pp. 1–15, 2024. doi: https://doi.org/10.31172/jmg.v25i1.1051.
The Global Climate 2011-2020, no. 1338. 2020.
I. G. A. A. Wulandari, “THE COVID-19 PANDEMIC IMPACT ON TOURISM BUSINESS IN KUTA BEACH BALI: A NATURALISTIC QUALITATIVE STUDY,” Int. J. Tour. Hosp. Asia Pasific, vol. 6, no. 1, pp. 80–96, 2023. doi: https://doi.org/10.32535/ijthap.v6i1.2192.
M. R. Abdillah et al., “EXTREME WIND VARIABILITY AND WIND MAP DEVELOPMENT IN WESTERN JAVA, INDONESIA,” Int. J. Disaster Risk Sci., vol. 13, no. 3, pp. 465–480, 2022. doi: https://doi.org/10.1007/s13753-022-00420-7.
WMO, “WMO GUIDELINES ON THE CALCULATION OF CLIMATE NORMALS,” WMO-No. 1203, no. 1203, p. 29, 2017, [Online]. Available: https://library.wmo.int/doc_num.php?explnum_id=4166
U. Mawarsari, “IMPUTASI MISSING DATA DENGAN K-NEAREST NEIGHBOR DAN ALGORITMA GENETIKA,” AdMathEdu J. Ilm. Pendidik. Mat. Ilmu Mat. dan Mat. Terap., vol. 6, no. 1, 2016. doi: https://doi.org/10.12928/admathedu.v6i1.4764.
H. Ghorbani, “MAHALANOBIS DISTANCE AND ITS APPLICATION FOR DETECTING MULTIVARIATE OUTLIERS,” Facta Univ. Ser. Math. Informatics, p. 583, 2019. doi: https://doi.org/10.22190/FUMI1903583G.
F. M. Barus and Sutarman, “MENDETEKSI OUTLIER PADA DATA MULTIVARIAT DENGAN METODE JARAK MAHALANOBIS-MINIMUM COVARIANCE DETERMINANT (MMCD),” IJM Indones. J. Multidiscip., vol. 1, no. 3, pp. 1164–1172, 2023.
A. Ambarwari, Q. J. Adrian, and Y. Herdiyeni, “ANALISIS PENGARUH DATA SCALING TERHADAP PERFORMA ALGORITME MACHINE LEARNING UNTUK IDENTIFIKASI TANAMAN,” J. RESTI (Rekayasa Sist. dan Teknol. Informasi), vol. 4, no. 1, pp. 117–122, 2020. doi: https://doi.org/10.29207/resti.v4i1.1517
T. Górecki, M. Krzyśko, Ł. Waszak, and W. Wołyński, “SELECTED STATISTICAL METHODS OF DATA ANALYSIS FOR MULTIVARIATE FUNCTIONAL DATA,” Stat. Pap., vol. 59, no. 1, pp. 153–182, 2018. doi: https://doi.org/10.1007/s00362-016-0757-8.
F. Martínez, M. P. Frías, M. D. Pérez, and A. J. Rivera, “A METHODOLOGY FOR APPLYING K-NEAREST NEIGHBOR TO TIME SERIES FORECASTING,” Artif. Intell. Rev., vol. 52, no. 3, pp. 2019–2037, 2019. doi: https://doi.org/10.1007/s10462-017-9593-z.
M. Masoudi, “ESTIMATION OF THE SPATIAL CLIMATE COMFORT DISTRIBUTION USING TOURISM CLIMATE INDEX (TCI) AND INVERSE DISTANCE WEIGHTING (IDW) (CASE STUDY: FARS PROVINCE, IRAN),” Arab. J. Geosci., vol. 14, no. 5, 2021. doi: https://doi.org/10.1007/s12517-021-06605-6.
U. Barudžija, J. Ivšinović, and T. Malvić, “SELECTION OF THE VALUE OF THE POWER DISTANCE EXPONENT FOR MAPPING WITH THE INVERSE DISTANCE WEIGHTING METHOD—APPLICATION IN SUBSURFACE POROSITY MAPPING, NORTHERN CROATIA NEOGENE,” Geosci., vol. 14, no. 6, 2024. doi: https://doi.org/10.3390/geosciences14060155.
J. Fan, W. Wang, and Y. Zhong, “AN ∞ EIGENVECTOR PERTURBATION BOUND AND ITS APPLICATION TO ROBUST COVARIANCE ESTIMATION,” J. Mach. Learn. Res., vol. 18, pp. 1–42, 2018, [Online]. Available: https://www.jmlr.org/papers/volume18/16-140/16-140.pdf
N. Fat’Ha and H. T. Sutanto, “IDENTIFIKASI AUTOKORELASI SPASIAL PADA PENGANGGURAN DI JAWA TIMUR MENGGUNAKAN INDEKS MORAN,” MATHunesa J. Ilm. Mat., vol. 8, no. 2, pp. 89–92, 2020. doi: https://doi.org/10.26740/mathunesa.v8n2.p89-92.
B. E. Susilowati and P. R. Sihombing, “METODE ROBPCA (ROBUST PRINCIPAL COMPONENT ANALYSIS) DAN CLARA (CLUSTERING LARGE AREA) PADA DATA DENGAN OUTLIER,” J. Ilmu Komput., vol. 13, no. 2, p. 11, 2020. doi: https://doi.org/10.24843/JIK.2020.v13.i02.p04.
X. Yao, M. Zhang, Y. Zhang, H. Xiao, and J. Wang, “RESEARCH ON EVALUATION OF CLIMATE COMFORT IN NORTHWEST CHINA UNDER CLIMATE CHANGE,” Sustain., vol. 13, no. 18, pp. 1–19, 2021. doi: https://doi.org/10.3390/su131810111.
K. Sumaja, I. K. M. Satriyabawa, S. Maharani, and W. A. Mustika, “THE CLIMATE COMFORT AND RISK ASSESSMENT FOR TOURISM IN BALI, INDONESIA,” Springer Proc. Phys., vol. 290, no. July, pp. 545–553, 2023. doi: https://doi.org/10.1007/978-981-19-9768-6_50.
L. R. Z. Dini and Sobirin, “TINGKAT KENYAMANAN IKLIM DI PULAU BALI BERDASARKAN TOURISM CLIMATE INDEX,” Ind. Res. Work. Natl. Semin., pp. 678–684, 2017, [Online]. Available: https://jurnal.polban.ac.id/index.php/proceeding/article/view/602/457
J. Kemppinen et al., “MICROCLIMATE, AN IMPORTANT PART OF ECOLOGY AND BIOGEOGRAPHY,” no. March, 2024. doi: https://doi.org/10.1111/geb.13834
A. S. Prinsloo and J. M. Fitchett, “QUANTIFYING CLIMATIC SUITABILITY FOR TOURISM IN SOUTHWEST INDIAN OCEAN TROPICAL ISLANDS : APPLYING THE HOLIDAY CLIMATE INDEX TO RÉUNION ISLAND,” Int. J. Biometeorol., vol. 68, no. 9, pp. 1717–1728, 2024. doi: https://doi.org/10.1007/s00484-024-02700-x.
X. Huang, Y. Hui, J. Chen, Z. Huang, X. Li, and X. Yang, “Research Progress on the Evaluation of Tourism Climate Comfort and Its Application in China : A Bibliometrics-Based Review,” pp. 1–23, 2025. doi: https://doi.org/10.3390/atmos16060714
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