1982
DOI: 10.1111/j.1467-8306.1982.tb01819.x
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A Theoretical Model of Road Development Dynamics

Abstract: In this paper a recursive version of a dynamic road investment problem is developed by extending the Ellet-Walters developmental model of transportation so as to account explicitly for the effects of road investment on the supply and demand of the port hinterland's product. An explicit lagged supply function that depends upon commodity price and road penetration is related to a given linear demand function, assuming annual market clearance. A recursive formulation of a cobweb-like dynamic market is thus obtain… Show more

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Cited by 14 publications
(9 citation statements)
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“…A destination is selected from candidate nodes as the one that maximizes the transport demands, flow, or speed, or minimizes the cost under given constraints, which is usually solved through linear programming [14,19]. The problem is formulated as seeking equilibrium between travel demands and supplies [19]. Typical approaches involve flow generation, spatial interaction, gravity model, or spatial choice of destinations.…”
Section: Individual Road Locationmentioning
confidence: 99%
See 1 more Smart Citation
“…A destination is selected from candidate nodes as the one that maximizes the transport demands, flow, or speed, or minimizes the cost under given constraints, which is usually solved through linear programming [14,19]. The problem is formulated as seeking equilibrium between travel demands and supplies [19]. Typical approaches involve flow generation, spatial interaction, gravity model, or spatial choice of destinations.…”
Section: Individual Road Locationmentioning
confidence: 99%
“…Prediction of road location is defined as processes of determining nodes and links, namely the destination identification and route selection [3,4]. A destination is selected from candidate nodes as the one that maximizes the transport demands, flow, or speed, or minimizes the cost under given constraints, which is usually solved through linear programming [14,19]. The problem is formulated as seeking equilibrium between travel demands and supplies [19].…”
Section: Individual Road Locationmentioning
confidence: 99%
“…Since the road will never extend beyond the margin of production (Ralston and Barber 1982), we can show that the total commodity supplied at the port in time period t + 1 will be 'For an extended description of the developmental model, see Ralston and Barber (1982).…”
Section: Fig 1 the Developmental Frameworkmentioning
confidence: 99%
“…3The astute reader will note that equation (1) does not hold if the road exceeds the margin of production. The existence of such a solution is nonoptimal (Ralston and Barber 1982).…”
Section: Fig 1 the Developmental Frameworkmentioning
confidence: 99%
“…For example, road development predictions are used to aid environmental impact assessments, producing likely scenarios of environmental change and associated impact estimations, such as predicting future biodiversity outcomes (Soares-Filho et al 2006;Alkemade et al 2009). However, as described, multiple factors influence road development, and potentially do so in complicated ways involving nonlinear feedbacks and interactions, time lags and stochasticity (Ralston & Barber 1982). This resulted in early road models that were focused on describing and explaining the spatiotemporal development of roads, highlighting the influence of geopolitics on road location (Andersen & Reis 1997;Carvalho et al 2002;Perz et al 2007), but lacking analytical or predictive elements.…”
Section: Introductionmentioning
confidence: 99%