Considerations on the Use of Approximations to Estimate Freight Demand on the Basis of a Single Explanatory Variable with Non-Linear Functional Forms and Generalization to Statistical Modelling — Oak Academic Publishing
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Considerations on the Use of Approximations to Estimate Freight Demand on the Basis of a Single Explanatory Variable with Non-Linear Functional Forms and Generalization to Statistical Modelling
Center for Research in Innovation and Intelligence in Management (CERIIM), Excelia Business School, La Rochelle, France
1 Center for Research in Innovation and Intelligence in Management (CERIIM), Excelia Business School, La Rochelle, France
This paper presents two sets of considerations on the use of approximations to estimate freight trip generation (FTG) and freight generation (FG) rates, based on a single variable. Following recent developments in aggregation approximations for the use of non-linear functional forms in FTG models related to employment, an extension to FG models with a single variable (employment or area) is made. Furthermore, the deployment and application of such approximations to category-based exploratory variables (and not purely quantitative) are addressed. Additionally, to extend these models to FG, the suitability and possible approximations of the exponential function via a polynomial transformation using Taylor series are proposed. Moreover, an analysis of its accuracy using an error analytical assessment. Finally, applicability and generalization issues of the proposed work are addressed, and a general iterative modelling framework is formalized and discussed. This paper builds on previous works on freight demand modelling and proposes methods and estimates that can be used in situations where data disaggregation is lacking, offering complementary analyses to those works that provide a comprehensive view of the main transformable functional forms.
Abramowitz, M., & Stegun, I. A. (2006). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. US Government Print.
Ackoff, R. L. (1977). Optimization + Objectivity = Optout. European Journal of Operational Research, 1, 1-7. https://doi.org/10.1016/s0377-2217(77)81003-5
Ackoff, R. L. (2001). OR: After the Post Mortem. System Dynamics Review, 17, 341-346. https://doi.org/10.1002/sdr.222
Ackoff, R. L., Addison, H. J., & Bibb, S. (2007). Management F-Laws: How Organizations Really Work. Triarchy Press Limited.
Agmon, S. (1951). Functions of Exponential Type in an Angle and Singularities of Taylor Series. Transactions of the American Mathematical Society, 70, 492-508. https://doi.org/10.1090/s0002-9947-1951-0041222-5
Alho, A. R., & de Abreu e Silva, J. (2017). Modeling Retail Establishments’ Freight Trip Generation: A Comparison of Methodologies to Predict Total Weekly Deliveries. Transportation, 44, 1195-1212. https://doi.org/10.1007/s11116-016-9700-z
Ambrosini, C., Meimbresse, B., Routhier, J. L., & Sonntag, H. (2008). Urban Freight Modeling: A Review. In E. Taniguchi, & R. G. Thompson (Eds.), Innovations for City Logistics (pp. 197-212). Nova Science.
Ambrosini, C., Patier, D., & Routhier, J. (2010). Urban Freight Establishment and Tour Based Surveys for Policy Oriented Modelling. Procedia—Social and Behavioral Sciences, 2, 6013-6026. https://doi.org/10.1016/j.sbspro.2010.04.015
Bastida, C., & Holguin-Veras, J. (2009). Freight Generation Models: Comparative Analysis of Regression Models and Multiple Classification Analysis. Transportation Research Record: Journal of the Transportation Research Board, 2097, 51-61. https://doi.org/10.3141/2097-07
Béziat, A. (2021). Spatialiser l’offre et la demande de stationnement pour la logistique urbaine à Paris. Transports Urbains , 138, 29-33. https://doi.org/10.3917/turb.138.0029
Béziat, A., Koning, M., & Toilier, F. (2017). Marginal Congestion Costs in the Case of Multi-Class Traffic: A Macroscopic Assessment for the Paris Region. Transport Policy, 60, 87-98. https://doi.org/10.1016/j.tranpol.2017.08.008
Bonnafous, A. (1990). Le siècle des ténèbres de l’économie . FeniXX.
Bonnafous, A., Gonzalez-Feliu, J., & Routhier, J. L. (2013). An Alternative UGM Paradigm to OD Matrices: The FRETURB Model. In WCTR 2013 WCTR 2013 (pp. 1-21). WCTRS.
Britton, G. A., & McCallion, H. (1994). An Overview of the Singer/Churchman/Ackoff School of Thought. Systems Practice, 7, 487-521. https://doi.org/10.1007/bf02173378
Carlesi, E., Sorce, J. G., Hoffman, Y., Gottlöber, S., Yepes, G., Libeskind, N. I. et al. (2016). Constrained Local Universe Simulations: A Local Group Factory. Monthly Notices of the Royal Astronomical Society, 458, 900-911. https://doi.org/10.1093/mnras/stw357
Churchman, C. W. (1968). Challenge to Reason. McGraw-Hill.
Connelly, R., Gayle, V., & Lambert, P. S. (2016). Statistical Modelling of Key Variables in Social Survey Data Analysis. Methodological Innovations, 9, 1-17. https://doi.org/10.1177/2059799116638002
Coulombel, N., Dablanc, L., Gardrat, M., & Koning, M. (2018). The Environmental Social Cost of Urban Road Freight: Evidence from the Paris Region. Transportation Research Part D: Transport and Environment, 63, 514-532. https://doi.org/10.1016/j.trd.2018.06.002
Crainic, T. G., & Semet, F. (2014). Operations Research and Goods Transportation. In V. T. Paschos (Ed.), Applications of Combinatorial Optimization (pp. 111-175). Wiley-ISTE.
Dablanc, L. (2013). Commercial Goods Transport, Paris, France. Case Study Prepared for Global Report on Human Settlements. United Nations Human Settlements Programme.
Daganzo, C. (2005). Logistics Systems Analysis. Springer Science & Business Media.
Dobson, A. J. (2013). Introduction to Statistical Modelling. Springer.
Donnelly, R., Thompson, R. G., & Wigan, M. (2012). Process Validation of Urban Freight and Logistics Models. Procedia—Social and Behavioral Sciences, 39, 400-408. https://doi.org/10.1016/j.sbspro.2012.03.117
Erdoğan, G. (2017). An Open Source Spreadsheet Solver for Vehicle Routing Problems. Computers & Operations Research, 84, 62-72. https://doi.org/10.1016/j.cor.2017.02.022
Feliu, S. (2003). Ciencia y verdad . Publicacions de l’Universitat de València.
Gonzalez-Feliu, J. (2019). Logistics and Transport Modeling in Urban Goods Movement. IGI Global. https://doi.org/10.4018/978-1-5225-8292-2
Gonzalez-Feliu, J. (2024). Equivalences of Freight Trip Generation Functional Forms: Formulations, Approximations and Error Formalization Issues. Theoretical Economics Letters, 14, 617-631. https://doi.org/10.4236/tel.2024.142033
Gonzalez-Feliu, J., & Gatica, G. (2022). Stating on the Use of Operations Research for Historical Analysis: A Hierarchic-Transport Model Clio-Combinatorics Approach and Its Applications in Current Problem Solving. In J. C. Figueroa-García, C. Franco, Y. Díaz-Gutierrez, & G. Hernández-Pérez (Eds.), Applied Computer Sciences in Engineering (pp. 265-276). Springer Nature Switzerland. https://doi.org/10.1007/978-3-031-20611-5_23
Gonzalez-Feliu, J., & Routhier, J. (2012). Modeling Urban Goods Movement: How to Be Oriented with So Many Approaches? Procedia—Social and Behavioral Sciences, 39, 89-100. https://doi.org/10.1016/j.sbspro.2012.03.093
Gonzalez-Feliu, J., & Sanchez-Díaz, I. (2019). The Influence of Aggregation Level and Category Construction on Estimation Quality for Freight Trip Generation Models. Transportation Research Part E: Logistics and Transportation Review, 121, 134-148. https://doi.org/10.1016/j.tre.2018.07.007
Gonzalez-Feliu, J., Palacios-Argüello, L., & Suarez-Nuñez, C. (2020). Links between Freight Trip Generation Rates, Accessibility and Socio-Demographic Variables in Urban Zones. Archives of Transport, 53, 7-20. https://doi.org/10.5604/01.3001.0014.1738
Gonzalez-Feliu, J., Ramirez-Rios, D. G., Pani, A., & Bouraoua, S. (2024). A Categorization-Modelling Procedure to Estimate Urban Goods Transport Demand with a Minimum Number of Activity Categories. Transportation Research Procedia, 79, 108-115. https://doi.org/10.1016/j.trpro.2024.03.016
Gonzalez-Feliu, J., Toilier, F., Ambrosini, C., & Routhier, J. (2014). Estimated Data Production for Urban Goods Transport Diagnosiss: The Freturb Methodology. In J. Gonzalez-Feliu, F. Semet, & J. L. Routhier (Eds.), Sustainable Urban Logistics: Concepts, Methods and Information Systems (pp. 113-143). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-31788-0_7
Havenga, J. H., & Simpson, Z. P. (2018). National Freight Demand Modelling: A Tool for Macrologistics Management. The International Journal of Logistics Management, 29, 1171-1195. https://doi.org/10.1108/ijlm-11-2017-0290
Holguin-Veras, J., & Jaller, M. (2014). Comprehensive Freight Demand Data Collection Framework for Large Urban Areas. In J. Gonzalez-Feliu, F. Semet, & J. L. Routhier (Eds.), Sustainable Urban Logistics: Concepts, Methods and Information Systems (pp. 91-112). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-31788-0_6
Holguin-Veras, J., Jaller, M., Destro, L., Ban, X., Lawson, C., & Levinson, H. S. (2011a). Freight Generation, Freight Trip Generation, and Perils of Using Constant Trip Rates. Transportation Research Record: Journal of the Transportation Research Board, 2224, 68-81. https://doi.org/10.3141/2224-09
Holguin-Veras, J., Jaller, M., Sanchez-Díaz, I., Campbell, S., & Lawson, C. T. (2014). Freight Generation and Freight Trip Generation Models. In L. Tavasszy, & G. de Jong (Eds.), Modelling Freight Transport (pp. 43-63). Elsevier. https://doi.org/10.1016/b978-0-12-410400-6.00003-3
Holguin-Veras, J., Ramírez-Ríos, D. G., Encarnación, T., Gonzalez-Feliu, J., Caspersen, E., Rivera-González, C., González-Calderón, C., & da Silva Lima, R. (2019). Metropolitan Economies and the Generation of Freight and Service Activity: An International Perspective. In M. Browne, S. Behrends, J. Woxenius, G. Giuliano, & J. Holguín-Veras (Eds.), Urban Logistics. Management, Policy and Innovation in a Rapidly Changing Environment (pp. 19-51). Kogan Page.
Holguin-Veras, J., Sanchez, I., González-Calderón, C., Sarmiento, I., & Thorson, E. (2011b). Time-Dependent Effects on Parameters of Freight Demand Models: Empirical Investigation. Transportation Research Record: Journal of the Transportation Research Board, 2224, 42-50. https://doi.org/10.3141/2224-06
Holguin-Veras, J., Sarmiento, I., & Gonzalez-Calderon, C. A. (2011c). Parameter Stability in Freight Generation and Distribution Demand Models in Colombia. Dyna, 78, 16-20.
Jackson, M. C. (1982). The Nature of Soft Systems Thinking: The Work of Churchman, Ackoff and Checkland. Journal of Applied Systems Analysis, 9, 17-29.
Jin, H., & Wang, T. (2017). Dynamic Currency Intervention and International Monetary Neutrality. Theoretical Economics Letters, 7, 575-581. https://doi.org/10.4236/tel.2017.73042
Kneib, T., & Tutz, G. (2010). Statistical Modelling and Regression Structures. Springer.
Koning, M., & Conway, A. (2016). The Good Impacts of Biking for Goods: Lessons from Paris City. Case Studies on Transport Policy, 4, 259-268. https://doi.org/10.1016/j.cstp.2016.08.007
Krisztin, T. (2017). The Determinants of Regional Freight Transport: A Spatial, Semiparametric Approach. Geographical Analysis, 49, 268-308. https://doi.org/10.1111/gean.12125
Lagorio, A., Gonzalez-Feliu, J., & Pinto, R. (2018). Urban Freight Demand Estimation: A Probability Distribution Based Method. In Proceedings of the 7th International Conference in Information Systems, Logistics and Supply Chain (pp. 415-422). INSA.
Le Nir, M., & Routhier, J. L. (1995). Survey and Modelling in Urban Freight Transport [Les transports de marchandises en ville: Quelques pistes pour une modélisation]. In World Transport Research : Proceedings of 7th World Conference on Transport Research . WCTRS.
Ljung, L., & Lei Guo, (1997). The Role of Model Validation for Assessing the Size of the Unmodeled Dynamics. IEEE Transactions on Automatic Control, 42, 1230-1239. https://doi.org/10.1109/9.623084
Morin, L. (2020). Transport de marchandises et logistique urbaine à Paris. Transports urbains , 137, 29-32. https://doi.org/10.3917/turb.137.0029
Pani, A., & Sahu, P. K. (2019). Comparative Assessment of Industrial Classification Systems for Modeling Freight Production and Freight Trip Production. Transportation Research Record: Journal of the Transportation Research Board, 2673, 210-224. https://doi.org/10.1177/0361198119834300
Pendyala, R. M., Shankar, V. N., & McCullough, R. G. (2000). Freight Travel Demand Modeling: Synthesis of Approaches and Development of a Framework. Transportation Research Record: Journal of the Transportation Research Board, 1725, 9-16. https://doi.org/10.3141/1725-02
Puente-Mejia, B., Palacios-Argüello, L., Suárez-Núñez, C., & Gonzalez-Feliu, J. (2020). Freight Trip Generation Modeling and Data Collection Processes in Latin American Cities. Modeling Framework for Quito and Generalization Issues. Transportation Research Part A: Policy and Practice, 132, 226-241. https://doi.org/10.1016/j.tra.2019.10.013
Ramfou, I., & Sambracos, E. (2023). Exploring the Use of Systems Dynamics for the Valuation of Freight Transport Time Changes. Theoretical Economics Letters, 13, 1418-1433. https://doi.org/10.4236/tel.2023.136080
Sanchez-Díaz, I., Holguin-Veras, J., & Wang, X. (2016). An Exploratory Analysis of Spatial Effects on Freight Trip Attraction. Transportation, 43, 177-196. https://doi.org/10.1007/s11116-014-9570-1
Tiwari, A. K., Aruna, M., & Dash, A. K. (2015). Do the Indian Agricultural Commodities’ Prices Exhibit Non-Linear Mean Reversion? An Empirical Evidence. Theoretical Economics Letters, 5, 332-342. https://doi.org/10.4236/tel.2015.52039
Toilier, F., Serouge, M., Routhier, J., Patier, D., & Gardrat, M. (2016). How Can Urban Goods Movements Be Surveyed in a Megacity? The Case of the Paris Region. Transportation Research Procedia, 12, 570-583. https://doi.org/10.1016/j.trpro.2016.02.012
Ulrich, W. (2012). Operational Research and Critical Systems Thinking—An Integrated Perspective: Part 1: OR as Applied Systems Thinking. Journal of the Operational Research Society, 63, 1228-1247. https://doi.org/10.1057/jors.2011.141
Vencálek, O., Hron, K., & Filzmoser, P. (2020). A Comparison of Generalised Linear Models and Compositional Models for Ordered Categorical Data. Statistical Modelling, 20, 249-273. https://doi.org/10.1177/1471082x18816540
Wonnacott, T. H., & Wonnacott, R. J. (2015). Introductory Statistics for Business and Economics. John Wiley & Sons.