Hospital Trip Production and Attraction Modeling for Future Predictions
Publication: Journal of Urban Planning and Development
Volume 147, Issue 4
Abstract
The demand for healthcare facilities in the world is growing daily, and this growth in demand exceeds general population growth. This situation has made hospital trips a vital issue during urban transportation planning. In this context, the aim of this study is twofold: (1) to investigate the hospital trip behavior as home-based hospital trips within the scope of trip production and attraction (trip generation) models and (2) to evaluate the predictive power of some robust and regularization methods in trip generation modeling. Within this scope, approximately 49,000 valid Household Survey Data (HSD) from 2001 (base year) and 2015 (target year) were used to develop comprehensive trip generation models for the home-based hospital trips. Multiple linear regression (MLR), ridge regression (RR), Liu, least trimmed squares (LTS), least trimmed squares–ridge (LTS–R), and least trimmed square–Liu (LTS–L) methods were used for the analysis, and results were evaluated in terms of specialized mean squared error (MSE) and root mean square error (RMSE). As a result, LTS–R and LTS–L increased future predictive power by approximately 55% compared with OLS. This study fills an important gap in the literature in terms of not only the use of regularization and robust methods in trip demand modeling but also examining characteristics that affect hospital trip behaviors. In addition, the paper proposes a “Hospital Mobility Coefficient” projection that could be useful in demand estimation for future hospital trips.
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Acknowledgments
This work was supported by the Eskişehir Osmangazi University, Scientific Research Projects Department (2017/1565).
References
Abdel-Aal, M. M. M. 2014. “Calibrating a trip distribution gravity model stratified by the trip purposes for the city of Alexandria.” Alexandria Eng. J. 53 (3): 677–689. https://doi.org/10.1016/j.aej.2014.04.006.
Abu-Ameerh, S. A., and M. Al-Trawneh. 2007. Trip attraction model for hospitals in Jordan. Amman, Jordan: Univ. of Jordan.
Adegoke, A. S., E. Adewuyi, K. Ayinde, and A. F. Lukman. 2016. “A comparative study of some robust ridge and liu estimators.” Sci. World J. 11 (4): 16–20.
Ahmed, B. 2012. “The traditional four steps transportation modeling using a simplified transport network: A case study of Dhaka City, Bangladesh.” Int. J. Adv. Sci. Eng. Technol. Res. 1 (1): 19–40.
Alkan, B. B., C. Atakan, and N. Alkan. 2018. “Dayanikli Lineer Diskriminant Analizi Için Yeni BIr Yaklaşim.” Erciyes Üniv. Bilimleri Enst. Bilimleri Dergisi 34 (2): 12–19.
Alpar, R. 1997. Uygulamalı çok değişkenli istatistiksel yöntemlere giriş-I. Ankara, Turkey: Bağırgan Yayımevi.
Alpar, R. 2011. Çok Değişkenli İstatistiksel Yöntemler. Ankara, Turkey: Detay Yayıncılık.
Alpu, Ö. 2016. “Aykırı değer varlığında sağlam konum ve ölçek kestiricilerinin faktör analizinde kullanımı.” SAÜ Bilimleri Enst. Dergisi 20 (3): 701–709. https://doi.org/10.16984/saufenbilder.56188.
Alpu, Ö., H. Şamkar, and E. Altan. 2010. “Sağlam Ridge Regresyon Analizi ve Bir Uygulama.” Dokuz Eylül Üniv. İktisadi İdari Bilimler Fakültesi Dergisi 25 (2): 137–148.
Arzu, A. R. I., and H. Önder. 2013. “Farkli veri yapilarinda kullanilabilecek regresyon yöntemleri.” Anadolu Tarım Bilimleri Dergisi 28 (3): 168–174.
Barclay, K., K. Keenan, E. Grundy, M. Kolk, and M. Myrskylä. 2016. “Reproductive history and post-reproductive mortality: A sibling comparison analysis using Swedish register data.” Soc. Sci. Med. 155: 82–92. https://doi.org/10.1016/j.socscimed.2016.02.043.
Berki, Z., and J. Monigl. 2017. “Trip generation and distribution modelling in Budapest.” Transp. Res. Procedia 27: 172–179. https://doi.org/10.1016/j.trpro.2017.12.023.
Bulut, H., and T. Zaman. 2018. “Robust Hedonik Modellerin Karşılaştırılması: Beetle Türkiye Piyasa Fiyatını Etkileyen Faktörlerin İncelenmesi.” Cumhuriyet Üniv. İktisadi İdari Bilimler Dergisi 19 (1): 24–43.
Bwambale, A., C. F. Choudhury, and N. Sanko. 2015. Modelling car trip generation in the developing world: The tale of two cities. Washington, DC: Transportation Research Board.
Calvo, F., L. Eboli, C. Forciniti, and G. Mazzulla. 2019. “Factors influencing trip generation on metro system in Madrid (Spain).” Transp. Res. Part D: Transp. Environ. 67: 156–172. https://doi.org/10.1016/j.trd.2018.11.021.
Case, A., and C. Paxson. 2011. “The long reach of childhood health and circumstance: Evidence from the Whitehall II Study.” Econ. J. 121 (554): F183–F204. https://doi.org/10.1111/j.1468-0297.2011.02447.x.
Chai, T., and R. R. Draxler. 2014. “Root mean square error (RMSE) or mean absolute error (MAE)?” Geosci. Model Dev. 7 (1): 1525–1534.
Chang, J. S., D. Jung, J. Kim, and T. Kang. 2014. “Comparative analysis of trip generation models: Results using home-based work trips in the Seoul metropolitan area.” Transp. Lett. 6 (2): 78–88. https://doi.org/10.1179/1942787514Y.0000000011.
Deaton, A. 2002. “Policy implications of the gradient of health and wealth.” Health Aff. 21 (2): 13–30. https://doi.org/10.1377/hlthaff.21.2.13.
de Dios OrtÃozar, J., and L. G. Willumsen. 2011. Modelling transport. Hoboken, NJ: John Wiley & Sons.
Demirci, M. A. 2014. “Ridge Regresyonda Sapma Parametresi k'nın Elde Edilmesinde Genetik Algoritma Yaklaşımı.” Graduate thesis, Mayıs Üniversitesi, Fen Bilimleri Enstitüsü.
Dorugade, A. V., and D. N. Kashid. 2010. “Alternative method for choosing ridge parameter for regression.” Appl. Math. Sci. 4 (9): 447–456.
Ergül, B., A. A. Yavuz, and E. Gündoğan. 2016. “Çocuklardaki Kısa Süreli Anlık Bellek İşlevinin Değerlendirilmesi.” Eğitimde Psikolojide Ölçme Değerlendirme Dergisi 7 (2): 459–459. https://doi.org/10.21031/epod.280208.
Etzioni, D. A., J. H. Liu, M. A. Maggard, and C. Y. Ko. 2003. “The aging population and its impact on the surgery workforce.” Ann. Surg. 238 (2): 170–177. https://doi.org/10.1097/01.SLA.0000081085.98792.3d.
Ewing, G. O. 1980. “Progress and problems in the development of recreational trip generation and trip distribution models.” Leisure Sci. 3 (1): 1–24. https://doi.org/10.1080/01490408009512924.
FitzGerald, G., S. Toloo, J. Rego, J. Ting, P. Aitken, and V. Tippett. 2012. “Demand for public hospital emergency department services in Australia: 2000–2001 to 2009–2010.” Emergency Med. Australas. 24 (1): 72–78. https://doi.org/10.1111/j.1742-6723.2011.01492.x.
Frank, L. D. 1995. An analysis of relationships between urban form (density, mix, and jobs: housing balance) and travel behavior (mode choice, trip generation, trip length, and travel time). Technical Rep. Prepared for Federal Highway Administration. Rep. No. WA-RD 351.2. Seattle, Washington, DC: Washington State Transportation Center.
Goel, R. 2018. “Distance-decay functions of travel to work trips in India.” Data Brief 21: 50–58. https://doi.org/10.1016/j.dib.2018.09.096.
Golob, T. F. 2000. “A simultaneous model of household activity participation and trip chain generation.” Transp. Res. Part B: Methodol. 34 (5): 355–376. https://doi.org/10.1016/S0191-2615(99)00028-4.
Gonzalez-Feliu, J., and C. Peris-Pla. 2017. “Impacts of retailing attractiveness on freight and shopping trip attraction rates.” Res.Transp. Bus. Manage. 24: 49–58. https://doi.org/10.1016/j.rtbm.2017.07.004.
Hass, Z., G. DePalma, B. A. Craig, H. Xu, and L. P. Sands. 2017. “Unmet need for help with activities of daily living disabilities and emergency department admissions among older medicare recipients.” Gerontologist 57 (2): 206–210. https://doi.org/10.1093/geront/gnv142.
He, S., B. A. Craig, H. Xu, K. E. Covinsky, E. Stallard, J. Thomas, III, and L. P. Sands. 2015. “Unmet need for ADL assistance is associated with mortality among older adults with mild disability.” J. Gerontol. Ser. A Biol. Sci. Med. Sci. 70 (9): 1128–1132. https://doi.org/10.1093/gerona/glv028.
Hinkle, D. E., W. Wiersma, and S. G. Jurs. 2003. Vol. 663 of Applied statistics for the behavioral sciences. Boston: Houghton Mifflin College Division.
Hoerl, A. E., and R. W. Kennard. 1970. “Ridge regression: Applications to nonorthogonal problems.” Technometrics 12 (1): 69–82. https://doi.org/10.1080/00401706.1970.10488635.
Hoerl, A. E., and R. W. Kennard. 1976. “Ridge regression iterative estimation of the biasing parameter.” Commun. Stat. Theory Methods 5 (1): 77–88. https://doi.org/10.1080/03610927608827333.
Högnäs, R. S., D. J. Roelfs, E. Shor, C. Moore, and T. Reece. 2017. “J-curve? A meta-analysis and meta-regression of parity and parental mortality.” Popul. Res. Policy Rev. 36 (2): 273–308. https://doi.org/10.1007/s11113-016-9421-1.
Hsu, W.-C., and Y.-P. Hsu. 2016. “Patterns of outpatient care utilization by seniors under the National Health Insurance in Taiwan.” J. Formosan Med. Assoc. 115 (5): 325–334. https://doi.org/10.1016/j.jfma.2015.12.001.
Hubert, M., and M. Debruyne. 2010. “Minimum covariance determinant.” WIREs Comput. Stat. 2 (1): 36–43. https://doi.org/10.1002/wics.61.
Hurt, L. S., C. Ronsmans, O. M. Campbell, S. Saha, M. Kenward, and M. Quigley. 2004. “Long-term effects of reproductive history on All-cause mortality Among adults in rural bangladesh.” Stud. Family Plann. 35 (3): 189–196. https://doi.org/10.1111/j.1728-4465.2004.00022.x.
Hutcheson, G. D. 2011. “Ordinary least-squares regression.” In The SAGE dictionary of quantitative management research, edited by L. Moutinho, and G. D. Hutcheson, 224–228. Thousand Oaks, CA: SAGE.
John, R. C. S. 1983. Applied linear regression models. London: Taylor & Francis.
Junor, E. J., F. R. Macbeth, and A. Barrett. 1992. “An audit of travel and waiting times for outpatient radiotherapy.” Clin. Oncol. 4 (3): 174–176. https://doi.org/10.1016/S0936-6555(05)81082-9.
Kan, B., Ö. Alpu, and B. Yazıcı. 2013. “Robust ridge and robust Liu estimator for regression based on the LTS estimator.” J. Appl. Stat. 40 (3): 644–655. https://doi.org/10.1080/02664763.2012.750285.
Kejian, L. 1993. “A new class of blased estimate in linear regression.” Commun. Stat. Theory Methods 22 (2): 393–402. https://doi.org/10.1080/03610929308831027.
Khandokar, F., A. Price, and T. Ryley. 2017. “Healthcare representatives’ perspectives on hospital travel plans in England.” Case Stud. Transp. Policy 5 (1): 61–70. https://doi.org/10.1016/j.cstp.2016.12.004.
Khisty, C. J., and T. Arslan. 2005. “Possibilities of steering the transportation planning process in the face of bounded rationality and unbounded uncertainty.” Transp. Res. Part C: Emerging Technol. 13 (2): 77–92. https://doi.org/10.1016/j.trc.2005.04.003.
Kroeger, L., F. Heinitz, and C. Winkler. 2018. “Operationalizing a spatial differentiation of trip generation rates using proxy indicators of accessibility.” Travel Behav. Soc. 11: 156–173. https://doi.org/10.1016/j.tbs.2017.07.002.
Lee, I.-C., C.-S. Chang, and P.-L. Du. 2017. “Do healthier lifestyles lead to less utilization of healthcare resources?” BMC Health Serv. Res. 17 (1): 243. https://doi.org/10.1186/s12913-017-2185-4.
Lenhart, O. 2019. “The effects of income on health: New evidence from the earned income tax credit.” Rev. Econ. Household 17 (2): 377–410. https://doi.org/10.1007/s11150-018-9429-x.
Lieber, J., L. Clarke, I. M. Timæus, P. A. C. Mallinson, and S. Kinra. 2020. “Changing family structures and self-rated health of India’s older population (1995–96 to 2014).” SSM Popul. Health 11: 100572. https://doi.org/10.1016/j.ssmph.2020.100572.
Lukman, A. F., and K. Ayinde. 2017. “Review and classifications of the ridge parameter estimation techniques.” Hacettepe J. Math. Stat. 46 (5): 953–967.
Mafauzy, M. 2000. “The problems and challenges of the aging population of Malaysia.” Malaysian J. Med. Sci. 7 (1): 1.
Mao, L., and D. Nekorchuk. 2013. “Measuring spatial accessibility to healthcare for populations with multiple transportation modes.” Health Place 24: 115–122. https://doi.org/10.1016/j.healthplace.2013.08.008.
Marmot, M. 2002. “The influence of income on health: Views of an epidemiologist.” Health Aff. 21 (2): 31–46. https://doi.org/10.1377/hlthaff.21.2.31.
Mathew, T. V., and K. V. K. Rao. 2006. Transportation engineering I. Mumbai, India: Civil Engineering–Transportation Engineering, IIT Bombay.
Meurs, H. 1990. “Dynamic analysis of trip generation.” Transp. Res. Part A: Gen. 24 (6): 427–442. https://doi.org/10.1016/0191-2607(90)90034-4.
Midi, H., and A. Bagheri. 2010. “Robust multicollinearity diagnostic measure in collinear data set.” In Proc., 4th Int. Conf. on Applied Mathematics, Simulation, Modeling, 138–142. Athens, Greece: World Scientific and Engineering Academy and Society (WSEAS).
Naik, S. M., R. P. K. Jagannath, and V. Kuppili. 2020. “An automatic estimation of the ridge parameter for extreme learning machine.” Chaos: Interdiscip. J. Nonlinear Sci. 30 (1): 013106. https://doi.org/10.1063/1.5097747.
Naser, M., and H. Faris. 2015. “Developing trip generation rates for hospitals in Amman.” Jordan J. Civ. Eng. 9 (1): 8–19.
Nevitt, J., and H. P. Tam. 1997. A comparison of robust and nonparametric estimators under the simple linear regression model. Chicago, IL: ERIC.
Papatzikou, E., and A. Stathopoulos. 2012. “A dynamic traffic assignment measure of stability based on network efficiency.” IFAC Proc. Vol. 45 (24): 158–164. https://doi.org/10.3182/20120912-3-BG-2031.00031.
Prasad, P., and B. Maitra. 2019. “Identifying areas of interventions for improvement of shared modes for school trips.” Transp. Res. Part A: Policy Pract. 121: 122–135. https://doi.org/10.1016/j.tra.2019.01.009.
Price, B. 1991. Regression analysis by example. Hoboken, NJ: Wiley.
Quesnel-Barbet, A., A. Duhamel, B. Quesnel, P.-J. Thumerelle, and R. Beuscart. 2001. “A mathematical model of hospital attraction area.” In Medinfo, edited by V. Patel et al. Amsterdam, Netherlands: IOS Press.
Raphael, S., and L. Rice. 2002. “Car ownership, employment, and earnings.” J. Urban Econ. 52 (1): 109–130. https://doi.org/10.1016/S0094-1190(02)00017-7.
Rousseeuw, P. J., and K. V. Driessen. 1999. “A fast algorithm for the minimum covariance determinant estimator.” Technometrics 41 (3): 212–223. https://doi.org/10.1080/00401706.1999.10485670.
Rousseeuw, P. J., and A. M. Leroy. 2005. Vol. 589 of Robust regression and outlier detection. Hoboken, NJ: John Wiley & Sons.
Rousseeuw, P. J., and K. Van Driessen. 2006. “Computing LTS regression for large data sets.” Data Min. Knowl. Discovery 12 (1): 29–45. https://doi.org/10.1007/s10618-005-0024-4.
Stoll, M. A., H. J. Holzer, and K. R. Ihlanfeldt. 2000. “Within cities and suburbs: Racial residential concentration and the spatial distribution of employment opportunities across sub-metropolitan areas.” J. Policy Anal. Manage. 19 (2): 207–231. https://doi.org/10.1002/(SICI)1520-6688(200021)19:2%3C207::AID-PAM3%3E3.0.CO;2-H.
Strunk, B. C., P. B. Ginsburg, and M. I. Banker. 2006. “The effect of population aging on future hospital demand: A simulation of future spending finds that aging will not be the strongest influence on inpatient hospital use.” Health Aff. 25 (Suppl1): W141–W149. https://doi.org/10.1377/hlthaff.25.w141.
Suel, E., and J. W. Polak. 2017. “Development of joint models for channel, store, and travel mode choice: Grocery shopping in London.” Transp. Res. Part A: Policy Pract. 99: 147–162. https://doi.org/10.1016/j.tra.2017.03.009.
Thompson, C. G., R. S. Kim, A. M. Aloe, and B. J. Becker. 2017. “Extracting the variance inflation factor and other multicollinearity diagnostics from typical regression results.” Basic Appl. Soc. Psychol. 39 (2): 81–90. https://doi.org/10.1080/01973533.2016.1277529.
Tian, L.-J., and H.-J. Huang. 2015. “Modeling the modal split and trip scheduling with commuters’ uncertainty expectation.” Eur. J. Oper. Res. 244 (3): 815–822. https://doi.org/10.1016/j.ejor.2015.02.030.
Tian, L.-J., H. Yang, and H.-J. Huang. 2013. “Tradable credit schemes for managing bottleneck congestion and modal split with heterogeneous users.” Transp. Res. Part E: Logist. Transp. Rev. 54: 1–13. https://doi.org/10.1016/j.tre.2013.04.002.
Turgut, K. 2010. “Çok Değişkenli Veride Aykırı Değerlerin Tespiti İçin MVV Yöntemi Ve Diğer Yöntemlerle Karşılaştırılması.” Yüksek Lisans Tezi, İstatistik Bölümü, Fen Bilimleri Enstitüsü, Gazi Üniversitesi.
Turkish Statistical Institute. 2020. Number of physicians, number of persons per physician and number of patient hospital visits per physician, 2009–2018. Ankara, Turkey: Turkish Statistical Institute.
Wilson, P. A. 1981. “Hospital use by the aging population.” Inquiry 18 (4): 332–344.
Yıldırım, N. 2010. “En Küçük Kareler, Ridge Regresyon ve Robust Regresyon Yöntemlerinde Analiz Sonuçlarına Aykırı Değerlerin Etkilerinin Belirlenmesi.” Yüksek Lisans Tezi, Zootekni Anabilim Dalı, Fen Bilimleri Enstitüsü, Çukurova Üniversitesi.
Yu, B., J. Zhang, and X. Li. 2017. “Dynamic life course analysis on residential location choice.” Transp. Res. Part A: Policy Pract. 104: 281–292. https://doi.org/10.1016/j.tra.2017.01.009.
Zeng, Y., Z.-m. Ni, S.-y. Liu, X. Gu, Q. Huang, J.-a. Liu, and Q. Wang. 2016. “Parity and all-cause mortality in women and men: A dose-response meta-analysis of cohort studies.” Sci. Rep. 6 (1): 19351. https://doi.org/10.1038/srep19351.
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Journal of Urban Planning and Development
Volume 147 • Issue 4 • December 2021
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© 2021 American Society of Civil Engineers.
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Received: Dec 22, 2020
Accepted: May 11, 2021
Published online: Aug 13, 2021
Published in print: Dec 1, 2021
Discussion open until: Jan 13, 2022
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