本研究探討之主題為全球行動寬頻普及率是否具有空間依存性，同時以人均GDP做為一國富裕程度之資料，驗證與行動寬頻普及率間之相關性。根據國家電信聯盟(ITU)公布之資料顯示，全球行動寬頻普及率偏高之國家多彼此相鄰，群聚於特定區域，反之亦然，為了能夠實證行動寬頻普及率空間依存性，本研究除了使用統計之傳統迴歸模型外，更使用地理資訊分析軟體ArcGIS進行探索性空間資料分析驗證行動寬頻普及率是否符合本研究之假設，確立行動寬頻普及率與人均GDP皆具有空間依存性後，使用國家距離與電信產業之特性建立空間權重矩陣，並運用空間計量經濟學中之空間迴歸模型分析國家間行動寬頻普及率間之空間交互作用與模型之配適程度，而使用之空間迴歸模型包括空間落遲模型(Spatial Lag Model)、空間自變數落遲模型(Spatial Lag of X Model)以及空間Durbin模型(Spatial Durbin Model)。研究結果顯示無論於傳統迴歸模型、空間落遲模型、空間自變數落遲模型及空間Durbin模型皆說明行動寬頻普及率與人均GDP之間具有相關性，且迴歸模型相互比較之下顯示，空間迴歸模型之配適度表現更甚於傳統迴歸模型，避免行動寬頻普及率與人均GDP相關係數高估之情形，說明將空間因素納入研究之考量後更可呈現研究資料之特性，進而驗證了空間效果之重要性。本研究藉由一國之富裕程度解釋行動寬頻普及率尚未充分，建議後續研究可探討尚未被發掘之變數，並提供政府單位制定行動寬頻相關政策之建議方向。

This research aims to explore whether mobile broadband penetration has spatial dependence and use the GDP per capita as a country's wealth level to verify the correlation with mobile broadband penetration. Based on the data which published by International Telecommunication Union(ITU) indicated the country has a high mobile broadband penetration rate, the adjacent countries also has a high mobile broadband penetration rate and vice versa. This study uses ArcGIS for exploratory spatial data analysis to verify that the mobile broadband penetration rate is consistent with the hypothesis of this study. The spatial weight matrix is established by using the country's distance and the characteristics of the telecom industry then using the spatial regression model to analyze the spatial interaction. As a result, the spatial regression model is better than a linear regression model to avoid the overestimation of the coefficient. Explain that take the spatial factors into account evidencing the importance of spatial effects. Suggested that follow-up researchers can explore the hidden variables that and observe the changes in the results of the variables after adding the spatial regression model try to provide the direction of the policymakers to enhance the performance of the mobile broadband.

Anselin, L. (1988). Model Validation in Spatial Econometrics - A Review and Evaluation of Alternative Approaches. International Regional Science Review, 11(3), 279-316.
Anselin, L., Varga, A., & Acs, Z. (2000). Geographical spillovers and university research: A spatial econometric perspective. Growth and Change, 31(4), 501-515.
Aten, B. H. (1997). Does space matter? International comparisons of the prices of tradables and nontradables. International Regional Science Review, 20(1-2), 35-52.
Beck, N., Gleditsch, K. S., & Beardsley, K. (2006). Space is more than geography: Using spatial econometrics in the study of political economy. International Studies Quarterly, 50(1), 27-44.
Buys, P., Dasgupta, S., Thomas, T. S., & Wheeler, D. (2009). Determinants of a Digital Divide in Sub-Saharan Africa: A Spatial Econometric Analysis of Cell Phone Coverage. World Development, 37(9), 1494-1505.
Cai, G. (2002). A GIS approach to the spatial assessment of telecommunications infrastructure. Networks and Spatial Economics, 2(1), 35-63.
Goodchild, M. F. (1991). Geographic information systems. Progress in Human geography, 15(2), 194-200.
Crandall, R. W., Lehr, W., & Litan, R. E. (2007). The effects of broadband deployment on output and employment: A cross-sectional analysis of US data.
Cressie, N. (1992). Statistics for spatial data. 4(5), 613-617.
Czernich, N., Falck, O., Kretschmer, T., & Woessmann, L. (2011). Broadband Infrastructure and Economic Growth. Economic Journal, 121(552), 505-532.
Star, J., & Estes, J. E. (1990). Geographic information systems: an introduction. Englewood Cliffs, NJ: Prentice Hall.
García Zaballos, A., & López-Rivas, R. (2012). Socioeconomic Impact of Broadband in Latin American and Caribbean Countries. Inter-American Development Bank.
Ghosh, S. (2017). Broadband penetration and economic growth: Do policies matter? Telematics and Informatics, 34(5), 676-693.
Gleditsch, K. S., & Ward, M. D. (2001). Measuring space: A minimum-distance database and applications to international studies. 38(6), 739-758.
Greenstein, S. (2011). The direction of broadband spillovers. (2), 104.
Grosso, M. (2006). Determinants of broadband penetration in OECD nations. Paper presented at the Australian Communications Policy and Research Forum.
Grubesic, T. H. (2004). The geodemographic correlates of broadband access and availability in the United States. Telematics Informatics, 21(4), 335-358.
Grubesic, T. H. (2010). Efficiency in broadband service provision: A spatial analysis. Telecommunications Policy, 34(3), 117-131.
Globerman, S., & Booth, P. (1989). The Canada-US free trade agreement and the telecommunications industry. Telecommunications Policy, 13(4), 319-328.
Grubesic, T. H. (2010). Efficiency in broadband service provision: A spatial analysis. Telecommunications Policy, 34(3), 117-131.
Grzybowski, L., & Liang, J. (2015). Estimating demand for fixed-mobile bundles and switching costs between tariffs. Information Economics and Policy, 33, 1-10.
Holt, L., & Jamison, M. (2009). Broadband and contributions to economic growth: Lessons from the US experience. Telecommunications Policy, 33(10-11), 575-581.
Jayakar, K., & Park, E. A. (2013). Broadband availability and employment: An analysis of county-level data from the National Broadband Map. Journal of Information Policy, 3, 181-200.
Kongaut, C., & Bohlin, E. (2016). Investigating mobile broadband adoption and usage: A case of smartphones in Sweden. Telematics and Informatics, 33(3), 742-752.
Koutroumpis, P. (2009). The economic impact of broadband on growth: A simultaneous approach. Telecommunications Policy, 33(9), 471-485.
Lee, H. (2003). The growth of broadband and electronic commerce in South Korea: Contributing factors. Information Society, 19(1), 81-93.
Lee, S., Marcu, M., & Lee, S. (2011). An empirical analysis of fixed and mobile broadband diffusion. Information Economics and Policy, 23(3-4), 227-233.
Le Gallo, J. (2004). Space-time analysis of GDP disparities among European regions: A Markov chains approach. International Regional Science Review, 27(2), 138-163.
Le Gallo, J., & Ertur, C. (2003). Exploratory spatial data analysis of the distribution of regional per capita GDP in Europe, 1980− 1995. Papers in Regional Science, 82(2), 175-201.
Legendre, P. (1993). Spatial autocorrelation: trouble or new paradigm?. Ecology, 74(6), 1659-1673.
Ng, T. H., Lye, C. T., & Lim, Y. S. (2013). Broadband penetration and economicgrowth in ASEAN countries: a generalized method of moments approach. Applied Economics Letters, 20(9), 857-862.
Ohmori, S., Yamao, Y., & Nakajima, N. (2000). The future generations of mobile communications based on broadband access technologies. Ieee Communications Magazine, 38(12), 134-142.
Prieger, J. E. (2013). The broadband digital divide and the economic benefits of mobile broadband for rural areas. Telecommunications Policy, 37(6-7), 483-502.
Qiang, C. Z. W. (2009). Mobile telephony: A transformational tool for growth and development. Private Sector & Development, 4(7), 7-8.
Sawyer, S., Allen, J. P., & Lee, H. (2003). Broadband and mobile opportunities: a socio-technical perspective. Journal of Information Technology, 18(2), 121-136.
Sawada, M., Cossette, D., Wellar, B., & Kurt, T. (2006). Analysis of the urban/rural broadband divide in Canada: Using GIS in planning terrestrial wireless deployment. Government Information Quarterly, 23(3-4), 454-479.
Srinuan, P., Srinuan, C., & Bohlin, E. (2012). Fixed and mobile broadband substitution in Sweden. Telecommunications Policy, 36(3), 237-251.
Sawyer, S., Allen, J. P., & Lee, H. (2003). Journal of Information Technology, 18(2), 121-136.
Thompson Jr, H. G., & Garbacz, C. (2011). Economic impacts of mobile versus fixed broadband. Telecommunications Policy, 35(11), 999-1009.
Thompson, H., & Garbacz, C. (2008, June). Broadband impacts on state GDP: Direct and indirect impacts. In International Telecommunications Society 17th Biennial Conference, Canada.
Wulf, J., Zelt, S., & Brenner, W. (2013, January). Fixed and Mobile Broadband Substitution in the OECD Countries--A Quantitative Analysis of Competitive Effects. In System Sciences (HICSS), 2013 46th Hawaii International Conference on (pp. 1454-1463). IEEE.
ITU(2016a). Fixed broadband Internet subscribers. Retrived from https://www.destatis.de/EN/FactsFigures/CountriesRegions/InternationalStatistics/Topic/Tables/BasicData_BroadbandInternet.html
Germany Bundesministerium des Innern, Statistisches Bundesamt(2016b). Active mobile-broadband subscriptions. Retrived from https://www.destatis.de/EN/FactsFigures/CountriesRegions/InternationalStatistics/Topic/Tables/BasicData_MobileBroadband.html
World Bank(2016c). GDP per capita. Retrived from https://data.worldbank.org/indicator/NY.GDP.PCAP.CD
United Nations(2016d). GDP per capita. Retrived from http://data.un.org/Data.aspx?q=GDP+per+capita&d=SNAAMA&f=grID%3a101%3bcurrID%3aUSD%3bpcFlag%3a1