GPS的連續位移記錄可以提供許多地表運動資訊，如平均速度、季節性週期振盪、同震位移等，其中，暫態訊號（transient signal）能夠反映地殼在受到短期應力作用時所產生的變形行為，例如震後變形、火山活動或地下水位變化等。因此，將這些變形訊號從觀測數據中分離出來，以提供後續的模式分析，是測地學中重要的課題。在這項研究中，我們挑選了2013至2021年間位於大屯火山區的6個GPS測站記錄，旨在檢測可能存在的暫態變形訊號。首先，我們使用最小二乘法移除時間序列中的長期運動趨勢和已知的錯移，再使用Kondrashov and Ghil (2006)提出的奇異譜分析（singular spectrum analysis, SSA）插值方法來處理缺失的數據。隨後，我們採用了多通道奇異譜分析方法（Multichannel SSA）來提取這些測站在時間和空間上相關的暫態位移事件。研究顯示，在2015年6月至2020年4月期間存在兩個明顯的暫態運動時期，分別是2015年6月至2016年10月期間的垂直下沉和水平收縮以及2015年6月至2016年10月期間的垂直抬升和水平擴張，可能與當地的火山活動相關。因此，我們將同時段的暫態位移結果與Pu et al. (2021)根據大油坑地區的微震破裂特性，以及噴氣中的總硫含量與二氧化碳比值隨時間變化所提出的模型進行了比較。研究發現，在2015年10月至2016年7月期間淺部正斷層地震和總硫含量與二氧化碳比值的顯著增加，可能表示熱液和氣體向上運動。因此，我們推測第一個暫態時期可能是由於大量的流體和氣體流出所導致的地殼解壓效應。此外，對於三個長期運行的GPS測站（自2006年以來），MSSA分析顯示，大屯火山區在2008年至2015年之間亦呈現出地表抬升和下沉的類似模式，但幅度較小。因此，利用MSSA可以有效分析該區域的GPS時間序列，作為未來監測大屯火山區地表活動特性的方法。然而，大部分的GPS測站集中在火山活動較為活躍的西半部區域，但東半部區域的YM03測站亦檢測到顯著的位移量，或許也暗示著東半部區域可能也會有火山活動所造成的地表變形。

GPS position time series can be utilized as an efficient method for monitoring surface displacement changes over time. In general, these time series can capture various ground motions such as long-term variations, short-term transient displacement, offsets, and seasonal signals. Differentiating between these different signals within GPS time series is crucial for comprehending the underlying geophysical or environmental processes. In this study, we selected six GPS stations located in the Tatun volcanic group (TVG) in northern Taiwan from 2013 to 2021 to explore potential spatially and temporally correlated transient deformations. Initially, we removed the secular trend and offsets using the least square method and addressed missing data using the singular spectrum analysis imputation method proposed by Kondrashov and Ghil (2006). Subsequently, the multichannel singular spectrum analysis (MSSA) was applied to extract the common transient displacements across these stations. Our analysis revealed two distinct periods of transient motion between June 2015 and April 2020: vertical subsidence and horizontal contraction from June 2015 to October 2016, and vertical uplift and horizontal expansion from June 2015 to October 2016, likely associated with local volcanic activity. To validate our findings, we compared our results with a hydrothermal fluid activity model proposed by Pu et al. (2021), which relied on seismic data and the ratio of surface sulfur emission (S_t) to {\rm CO}_2 at Dayoukeng fumarole from 2014 to 2017. We suggested that the notable increase in shallow normal faulting earthquakes and the S_t/{\rm CO}_2 ratio between October 2015 and July 2016 might indicate the upward movement of volcanic fluids and gases. Therefore, we infer that our first transient period, characterized by vertical subsidence and horizontal contraction from June 2015 to October 2016, may correspond to the regional crustal decompression effect resulting from the substantial outflow of hydrothermal fluids and gases. Additionally, MSSA analysis of three long-operated GPS stations (back to ~2006) revealed similar patterns of ground uplift and subsidence in the TVG from 2008 to 2015, albeit with smaller amplitudes. Utilizing MSSA effectively analyzes the GPS time series in this region as a method for monitoring future volcanic surface activity characteristics. However, most GPS stations are concentrated in the western region, and the significant displacement at station YM03 in the eastern region may suggest potential surface deformation due to volcanic activity in the eastern region.

Agnew, D.C., 1992. The time-domain behavior of power-law noises. Geophysical Research Letters 19, 333–336. https://doi.org/10.1029/91GL02832
Allen, M., Robertson, A., 1996. Distinguishing modulated oscillations from coloured noise in multivariate datasets. Clim. Dyn. 12. https://doi.org/10.1007/s003820050142
Allen, M.R., Smith, L.A., 1996. Monte Carlo SSA: Detecting Irregular Oscillations in the Presence of Colored Noise. Journal of Climate 9, 3373–3404.
Allen, M.R., Smith, L.A., 1994. Investigating the origins and significance of low-frequency modes of climate variability. Geophysical Research Letters 21, 883–886. https://doi.org/10.1029/94GL00978
Argus, D.F., Fu, Y., Landerer, F.W., 2014. Seasonal variation in total water storage in California inferred from GPS observations of vertical land motion. Geophysical Research Letters 41, 1971–1980. https://doi.org/10.1002/2014GL059570
Belousov, A., Belousova, M., Chen, C.-H., Zellmer, G.F., 2010. Deposits, character and timing of recent eruptions and gravitational collapses in Tatun Volcanic Group, Northern Taiwan: Hazard-related issues. Journal of Volcanology and Geothermal Research 191, 205–221. https://doi.org/10.1016/j.jvolgeores.2010.02.001
Bos, M.S., Fernandes, R.M.S., Williams, S.D.P., Bastos, L., 2013. Fast error analysis of continuous GNSS observations with missing data. J Geod 87, 351–360. https://doi.org/10.1007/s00190-012-0605-0
Broomhead, D., King, G., 1986. On the Qualitative Analysis of Experimental Dynamical Systems, in: Nonlinear Phenomena Chaos.
Broomhead, D.S., King, G.P., 1986. Extracting qualitative dynamics from experimental data. Physica D: Nonlinear Phenomena 20, 217–236. https://doi.org/10.1016/0167-2789(86)90031-X
Chang, E.T.Y., Chao, B.F., 2014. Analysis of coseismic deformation using EOF method on dense, continuous GPS data in Taiwan. Tectonophysics 637, 106–115. https://doi.org/10.1016/j.tecto.2014.09.011
Chang, W.-L., Smith, R.B., Wicks, C., Farrell, J.M., Puskas, C.M., 2007. Accelerated Uplift and Magmatic Intrusion of the Yellowstone Caldera, 2004 to 2006. Science 318, 952–956. https://doi.org/10.1126/science.1146842
Chang, W.-L., C. C. Wang, C. Y. Chiu, and R. J. Rau (2017), Interseismic Crustal Deformation of the Northern Taiwan from GPS and InSAR, Abstract T53C-08 presented at 2017 Fall Meeting, AGU, New Orleans, LA, 11-15 Dec.
Chen, C.-T., Lee, J.-C., Chan, Y.-C., Lu, C.-Y., Teng, L.S.-Y., 2014. Elucidating the geometry of the active Shanchiao Fault in the Taipei metropolis, northern Taiwan, and the reactivation relationship with preexisting orogen structures. Tectonics 33, 2400–2418. https://doi.org/10.1002/2013TC003502
Chen, C.H., 1970. Geology and geothermal power potential of the Tatun volcanic region. Geothermics, Proceedings of the United Nations symposium on the development and utilization of geothermal resources 2, 1134–1143. https://doi.org/10.1016/0375-6505(70)90425-6
Chen, Q., van Dam, T., Sneeuw, N., Collilieux, X., Weigelt, M., Rebischung, P., 2013. Singular spectrum analysis for modeling seasonal signals from GPS time series. Journal of Geodynamics, SI: Geodetic Earth System 72, 25–35. https://doi.org/10.1016/j.jog.2013.05.005
Dong, D., Fang, P., Bock, Y., Webb, F., Prawirodirdjo, L., Kedar, S., Jamason, P., 2006. Spatiotemporal filtering using principal component analysis and Karhunen-Loeve expansion approaches for regional GPS network analysis. Journal of Geophysical Research: Solid Earth 111. https://doi.org/10.1029/2005JB003806
Ghil, M., Allen, M.R., Dettinger, M.D., Ide, K., Kondrashov, D., Mann, M.E., Robertson, A.W., Saunders, A., Tian, Y., Varadi, F., Yiou, P., 2002. Advanced Spectral Methods for Climatic Time Series. Reviews of Geophysics 40, 3-1-3–41. https://doi.org/10.1029/2000RG000092
Groth, A., Ghil, M., 2015. Monte Carlo Singular Spectrum Analysis (SSA) Revisited: Detecting Oscillator Clusters in Multivariate Datasets. Journal of Climate 28, 150811121421002. https://doi.org/10.1175/JCLI-D-15-0100.1
Gruszczynska, M., Klos, A., Rosat, S., Bogusz, J., 2017. Deriving common seasonal signals in GPS position time series: by using multichannel singular spectrum analysis. Acta Geodynamica et Geomaterialia 14, 267–278. https://doi.org/10.13168/AGG.2017.0010
Hsu, Y.-J., Segall, P., Yu, S.-B., Kuo, L.-C., Williams, C.A., 2007. Temporal and spatial variations of post-seismic deformation following the 1999 Chi-Chi, Taiwan earthquake. Geophysical Journal International 169, 367–379. https://doi.org/10.1111/j.1365-246X.2006.03310.x
Hsu, Y.-J., Yu, S.-B., Simons, M., Kuo, L.-C., Chen, H.-Y., 2009. Interseismic crustal deformation in the Taiwan plate boundary zone revealed by GPS observations, seismicity, and earthquake focal mechanisms. Tectonophysics, Arc-continent Collision 479, 4–18. https://doi.org/10.1016/j.tecto.2008.11.016
Hsu, Y.-J., Fu, Y., Bürgmann, R., Hsu, S.-Y., Lin, C.-C., Tang, C.-H., Wu, Y.-M., 2020. Assessing seasonal and interannual water storage variations in Taiwan using geodetic and hydrological data. Earth and Planetary Science Letters 550, 116532. https://doi.org/10.1016/j.epsl.2020.116532
Huang, H.-H., Wu, E.-S., Lin, C.-H., Ko, J.Y.-T., Shih, M.-H., Koulakov, I., 2021. Unveiling Tatun volcanic plumbing structure induced by post-collisional extension of Taiwan mountain belt. Sci Rep 11, 5286. https://doi.org/10.1038/s41598-021-84763-z
Huang, Y.-C., Lin, C.-H., Kagiyama, T., 2017. Shallow crustal velocities and volcanism suggested from ambient noise studies using a dense broadband seismic network in the Tatun Volcano Group of Taiwan. Journal of Volcanology and Geothermal Research 341, 6–20. https://doi.org/10.1016/j.jvolgeores.2017.05.016
Ji, K., Herring, T., 2013. A method for detecting transient signals in GPS position time-series: Smoothing and principal component analysis. Geophysical Journal International 193, 171–186. https://doi.org/10.1093/gji/ggt003
Ji, K.H., Herring, T.A., 2012. Correlation between changes in groundwater levels and surface deformation from GPS measurements in the San Gabriel Valley, California. Geophysical Research Letters 39. https://doi.org/10.1029/2011GL050195
Ji, K.H., Herring, T.A., 2011. Transient signal detection using GPS measurements: Transient inflation at Akutan volcano, Alaska, during early 2008. Geophysical Research Letters 38. https://doi.org/10.1029/2011GL046904
Ji, K.H., Yun, S.-H., Rim, H., 2017. Episodic inflation events at Akutan Volcano, Alaska, during 2005–2017. Geophysical Research Letters 44, 8268–8275. https://doi.org/10.1002/2017GL074626
Juang, W.-S., 1993. Diversity And Origin Of Quaternary Basaltic Magma Series In Northern Taiwan. Bulletin of the National Museum of Natural Science No.4, 125–165.
King, N.E., Argus, D., Langbein, J., Agnew, D.C., Bawden, G., Dollar, R.S., Liu, Z., Galloway, D., Reichard, E., Yong, A., Webb, F.H., Bock, Y., Stark, K., Barseghian, D., 2007. Space geodetic observation of expansion of the San Gabriel Valley, California, aquifer system, during heavy rainfall in winter 2004–2005. Journal of Geophysical Research: Solid Earth 112. https://doi.org/10.1029/2006JB004448
Komori, S., Utsugi, M., Kagiyama, T., Inoue, H., Chen, C.-H., Chiang, H.-T., Chao, B.F., Yoshimura, R., Kanda, W., 2014. Hydrothermal system in the Tatun Volcano Group, northern Taiwan, inferred from crustal resistivity structure by audio-magnetotellurics. Progress in Earth and Planetary Science 1, 20. https://doi.org/10.1186/s40645-014-0020-7
Kondrashov, D., Ghil, M., 2006. Spatio-temporal filling of missing points in geophysical data sets. Nonlinear Processes in Geophysics 13, 151–159. https://doi.org/10.5194/npg-13-151-2006
Konstantinou, K.I., Lin, C.-H., Liang, W.-T., 2007. Seismicity characteristics of a potentially active Quaternary volcano: The Tatun Volcano Group, northern Taiwan. Journal of Volcanology and Geothermal Research 160, 300–318. https://doi.org/10.1016/j.jvolgeores.2006.09.009
Langbein, J., 2008. Noise in GPS displacement measurements from Southern California and Southern Nevada. Journal of Geophysical Research: Solid Earth 113. https://doi.org/10.1029/2007JB005247
Larson, K.M., Freymueller, J.T., Philipsen, S., 1997. Global plate velocities from the Global Positioning System. Journal of Geophysical Research: Solid Earth 102, 9961–9981. https://doi.org/10.1029/97JB00514
Lee, H.-F., Yang, T.F., Lan, T.F., Chen, C.-H., Song, S.-R., Tsao, S., 2008. Temporal variations of gas compositions of fumaroles in the Tatun Volcano Group, northern Taiwan. Journal of Volcanology and Geothermal Research, Evolution, Transfer and Release of Magmas and Volcanic Gases 178, 624–635. https://doi.org/10.1016/j.jvolgeores.2008.06.005
Lin, C.-H., 2016. Evidence for a magma reservoir beneath the Taipei metropolis of Taiwan from both S-wave shadows and P-wave delays. Sci Rep 6, 39500. https://doi.org/10.1038/srep39500
Lin, C.-H., Konstantinou, K., Pu, H.-C., Hsu, C.-C., Lin, Y.-M., You, S.-H., Huang, Y., 2005a. Preliminary Results from Seismic Monitoring at the Tatun Volcanic Area of Northern Taiwan. Terrestrial, Atmospheric and Oceanic Sciences 16, 563–577. https://doi.org/10.3319/TAO.2005.16.3.563(T)
Lin, C.H., Konstantinou, K.I., Liang, W.T., Pu, H.C., Lin, Y.M., You, S.H., Huang, Y.P., 2005b. Preliminary analysis of volcanoseismic signals recorded at the Tatun Volcano Group, northern Taiwan. Geophysical Research Letters 32. https://doi.org/10.1029/2005GL022861
Lin, C.H., Lai, Y.C., Shih, M.H., Lin, C.J., Ku, J.S., Huang, Y.C., 2020. A Major Hydrothermal Reservoir Underneath the Tatun Volcano Group of Taiwan: Clues from a Dense Linear Geophone Array. Pure Appl. Geophys. 177, 2889–2902. https://doi.org/10.1007/s00024-019-02396-w
Mao, A., Harrison, C.G.A., Dixon, T.H., 1999. Noise in GPS coordinate time series. Journal of Geophysical Research: Solid Earth 104, 2797–2816. https://doi.org/10.1029/1998JB900033
McGuire, J.J., Segall, P., 2003. Imaging of aseismic fault slip transients recorded by dense geodetic networks. Geophysical Journal International 155, 778–788. https://doi.org/10.1111/j.1365-246X.2003.02022.x
Miller, M.M., Melbourne, T., Johnson, D.J., Sumner, W.Q., 2002. Periodic Slow Earthquakes from the Cascadia Subduction Zone. Science 295, 2423–2423. https://doi.org/10.1126/science.1071193
Murase, M., Lin, C.-H., Kimata, F., Mori, H., Pu, H.-C., 2014. Volcano-hydrothermal activity detected by precise levelling surveys at the Tatun volcano group in Northern Taiwan during 2006–2013. Journal of Volcanology and Geothermal Research 286, 30–40. https://doi.org/10.1016/j.jvolgeores.2014.09.001
Nikolaidis, R., 2002. Observation of geodetic and seismic deformation with the Global Positioning System. Ph.D. dissertation, University of California, San Diego.
Ohtani, R., McGuire, J.J., Segall, P., 2010. Network strain filter: A new tool for monitoring and detecting transient deformation signals in GPS arrays. Journal of Geophysical Research: Solid Earth 115. https://doi.org/10.1029/2010JB007442
Plaut, G., Vautard, R., 1994. Spells of Low-Frequency Oscillations and Weather Regimes in the Northern Hemisphere. Journal of the Atmospheric Sciences 51, 210–236. https://doi.org/10.1175/1520-0469(1994)051<0210:SOLFOA>2.0.CO;2
Prevost, P., Chanard, K., Fleitout, L., Calais, E., Walwer, D., van Dam, T., Ghil, M., 2019. Data-adaptive spatio-temporal filtering of GRACE data. Geophysical Journal International 219, 2034–2055. https://doi.org/10.1093/gji/ggz409
Pu, H.-C., Lin, C.-H., Hsu, Y.-J., Lai, Y.-C., Shih, M.-H., Murase, M., Chang, L.-C., 2020b. Volcano-hydrothermal inflation revealed through spatial variation in stress field in Tatun Volcano Group, Northern Taiwan. Journal of Volcanology and Geothermal Research 390, 106712. https://doi.org/10.1016/j.jvolgeores.2019.106712
Pu, H.-C., Lin, C.-H., Huang, Y.-C., Chang, L.-C., Lee, H.-F., Leu, P.-L., Hsiao, N.-C., Chang, C., Yeh, Y.-H., 2014. The Volcanic Earthquake Swarm of October 20, 2009 in the Tatun Area of Northern Taiwan. Terrestrial, Atmospheric and Oceanic Sciences 25, 625. https://doi.org/10.3319/TAO.2014.04.11.02
Pu, H.C., Lin, C.H., Lai, Y.C., Shih, M.H., Chang, L.C., Lee, H.F., Lee, P.T., Hong, G.T., Li, Y.H., Chang, W.Y., Lo, C.H., 2020a. Active Volcanism Revealed from a Seismicity Conduit in the Long-resting Tatun Volcano Group of Northern Taiwan. Sci Rep 10, 6153. https://doi.org/10.1038/s41598-020-63270-7
Pu, H.-C., Lin, C.-H., Lee, H.-F., Lai, Y.-C., Chang, L.-C., Shih, M.-H., 2021. Ascending Volcanic Fluids Portended by Spatiotemporal Variations of the Earthquake Mechanisms in the Tatun Volcano Group in Northern Taiwan. Geophysical Research Letters 48, e2020GL091686. https://doi.org/10.1029/2020GL091686
Riel, B., Simons, M., Agram, P., Zhan, Z., 2014. Detecting transient signals in geodetic time series using sparse estimation techniques. Journal of Geophysical Research: Solid Earth 119, 5140–5160. https://doi.org/10.1002/2014JB011077
Silverii, F., D’Agostino, N., Métois, M., Fiorillo, F., Ventafridda, G., 2016. Transient deformation of karst aquifers due to seasonal and multiyear groundwater variations observed by GPS in southern Apennines (Italy). Journal of Geophysical Research: Solid Earth 121, 8315–8337. https://doi.org/10.1002/2016JB013361
Song, S.-R., Yang, T.F., Yeh, Y.-H., Tsao, S.-J., Lo, H.-J., 2000. The Tatun volcano group is active or extinct? Journal of the Geological Society of China 43, 521–534.
Teng, L.S., 1996. Extensional collapse of the northern Taiwan mountain belt. Geology 24, 949–952. https://doi.org/10.1130/0091-7613(1996)024<0949:ECOTNT>2.3.CO;2
Tiampo, K.F., Rundle, J.B., Fernandez, J., Langbein, J.O., 2000a. Spherical and ellipsoidal volcanic sources at Long Valley caldera, California, using a genetic algorithm inversion technique. Journal of Volcanology and Geothermal Research 102, 189–206. https://doi.org/10.1016/S0377-0273(00)00185-2
vanDam, T.M., Blewitt, G., Heflin, M.B., 1994. Atmospheric pressure loading effects on Global Positioning System coordinate determinations. Journal of Geophysical Research: Solid Earth 99, 23939–23950. https://doi.org/10.1029/94JB02122
Vautard, R., Ghil, M., 1989. Singular spectrum analysis in nonlinear dynamics, with applications to paleoclimatic time series. Physica D: Nonlinear Phenomena 35, 395–424. https://doi.org/10.1016/0167-2789(89)90077-8
Vautard, R., Yiou, P., Ghil, M., 1992. Singular-spectrum analysis: A toolkit for short, noisy chaotic signals. Physica D: Nonlinear Phenomena 58, 95–126. https://doi.org/10.1016/0167-2789(92)90103-T
Walwer, D., Calais, E., Ghil, M., 2016. Data-adaptive detection of transient deformation in geodetic networks. Journal of Geophysical Research: Solid Earth 121, 2129–2152. https://doi.org/10.1002/2015JB012424
Wdowinski, S., Bock, Y., Zhang, J., Fang, P., Genrich, J., 1997. Southern California permanent GPS geodetic array: Spatial filtering of daily positions for estimating coseismic and postseismic displacements induced by the 1992 Landers earthquake. Journal of Geophysical Research: Solid Earth 102, 18057–18070. https://doi.org/10.1029/97JB01378
Wang, K.-L., Chung, S.-L., Chen, Chang-Hwa, Shinjo, R., Yang, T.F., Chen, Cheng-Hong, 1999. Post-collisional magmatism around northern Taiwan and its relation with opening of the Okinawa Trough. Tectonophysics 308, 363–376. https://doi.org/10.1016/S0040-1951(99)00111-0
Wang, K.-L., CHUNG, S.-L., O’REILLY, S.Y., SUN, S.-S., SHINJO, R., CHEN, C.-H., 2004. Geochemical Constraints for the Genesis of Post-collisional Magmatism and the Geodynamic Evolution of the Northern Taiwan Region. Journal of Petrology 45, 975–1011. https://doi.org/10.1093/petrology/egh001
Wang, X., Cheng, Y., Wu, S., Zhang, K., 2016. An enhanced singular spectrum analysis method for constructing nonsecular model of GPS site movement. Journal of Geophysical Research: Solid Earth 121, 2193–2211. https://doi.org/10.1002/2015JB012573
Williams, S.D.P., Bock, Y., Fang, P., Jamason, P., Nikolaidis, R.M., Prawirodirdjo, L., Miller, M., Johnson, D.J., 2004. Error analysis of continuous GPS position time series. Journal of Geophysical Research: Solid Earth 109. https://doi.org/10.1029/2003JB002741
Xu, C., 2016. Reconstruction of gappy GPS coordinate time series using empirical orthogonal functions. Journal of Geophysical Research: Solid Earth 121, 9020–9033. https://doi.org/10.1002/2016JB013188
Xu, C., Yue, D., 2015. Monte Carlo SSA to detect time-variable seasonal oscillations from GPS-derived site position time series. Tectonophysics 665, 118–126. https://doi.org/10.1016/j.tecto.2015.09.029
Yang, T.F., Sano, Y., Song, S.R., 1999. 3He/4He ratios of fumaroles and bubbling gases of hot springs in Tatun Volcano Group, North Taiwan. Il nuovo cimento C 22 C, 281–286.
Yang, X.-M., Davis, P.M., Dieterich, J.H., 1988. Deformation from inflation of a dipping finite prolate spheroid in an elastic half-space as a model for volcanic stressing. Journal of Geophysical Research: Solid Earth 93, 4249–4257. https://doi.org/10.1029/JB093iB05p04249
Yu, S.-B., Chen, H.-Y., Kuo, L.-C., 1997. Velocity field of GPS stations in the Taiwan area. Tectonophysics, An Introduction to Active Collision in Taiwan 274, 41–59. https://doi.org/10.1016/S0040-1951(96)00297-1
Zhang, B., Liu, L., Khan, S.A., van Dam, T., Zhang, E., Yao, Y., 2017. Transient Variations in Glacial Mass Near Upernavik Isstrøm (West Greenland) Detected by the Combined Use of GPS and GRACE Data. Journal of Geophysical Research: Solid Earth 122, 10,626-10,642. https://doi.org/10.1002/2017JB014529
Zhang, J., Bock, Y., Johnson, H., Fang, P., Williams, S., Genrich, J., Wdowinski, S., Behr, J., 1997. Southern California permanent GPS geodetic array: Error analysis of daily position estimates and site velocities. Journal of Geophysical Research: Solid Earth 102, 18035–18055. https://doi.org/10.1029/97JB01380
曹恕中, 1994. 大屯火山群火山岩的鉀氬年代分析. 經濟部中央地質調查所彙刊 第137-154頁.
莊文星, 陳汝勤, 1989. 臺灣北部火山岩之定年與地球化學研究. 經濟部中央地質調查所彙刊 第31-66頁.
陳文山, 楊志成, 楊小青, 劉進金, 詹瑜璋, 謝凱旋, 謝有忠, 2007. 從LiDAR的2公尺*2公尺數值模擬地形分析大屯火山群的火山地形.