University
of Washington
Geography
207
Professor
Harrington
Transportation Analysis
The essential fact
of economic geography is the need to overcome distance in order to sustain
economic activity.
Relevant factors
of production (workers, materials, equipment) are seldom in exactly the
same place, and centralized production is only possible if there is a distribution
system to get goods to their markets (or to get clients to the services).
Thus, transportation
is required to make an economy run. This lecture will address three
questions:
1) How
does transportation “work”?
2) How
does transportation affect competition?
3) How can we describe
transportation
modes and systems?
COMPARING MODES OF TRANSPORTATION
Economically, the basic modes of transportation (ship, rail, truck,
pipeline, air) are distinguished according to three factors:
-
speed
-
fixed costs
-
variable costs
Speed is a function of the mode of transportation and the congestion
of the particular system.
The importance of speed depends on the opportunity cost of the time
spent in transit.
-
For perishable commodities, the opportunity cost is low until we approach
the time-limit of the commodity, at which point the opportunity cost
equals the value of the commodity: the commodity is worthless if
it arrives after its useful life is over.
-
For valuable commodities, the opportunity cost is the alternative use of
the financial capital that was spent to produce or buy the commodity:
while in transit, the commodity is not providing an economic rent.
-
For people, the opportunity cost is the value of the best use of their
time if they weren’t in transit. For a wage-earner, this is assumed
to be the wage rate. For a parent, it might be the cost of child
care.
The fixed costs are the capital costs for investing in
the transport equipment [the vessels that hold the cargo or people
to be transported; the relevant cost is the cost of a vessel divided
by the amount of cargo or people it can carry],
the terminal facilities [the fixed facility or infrastructure that
is required to allow docking and loading/unloading of the people and cargo],
and
the right of way [the surface upon which the transport occurs;
the costs include any land acquisition, grading, dredging, construction,
and maintenance of that surface]. High right-of-way costs make flexible
routing very expensive, so routes are quite limited.
-
Ocean and inland-water transport have moderate equipment costs (the
costs of ships, ferries, or barges, divided by their capacity) and facility
costs (docks, warehousing), and very inexpensive rights of way (only the
dredging at ports and sometimes of inland waterways, generally paid for
by the public)
-
Pipelines have moderate facility costs (for loading and unloading);
the equipment and right-of-way are the same, but moderately expensive.
-
Railroads have moderate equipment costs (rolling stock) , relatively
low facility costs (a rail siding and unloading facilities), and fairly
expensive right-of-way costs (it's expensive to acquire land, grade it,
and build rail, especially since trains can't travel on steep slopes or
sharp curves).
-
Trucking and automobiles have fairly high equipment costs (per unit
of weight carried), but low facility costs (a parking space and a loading
dock (or walkway for passengers)); the right-of-way costs are moderate
and generally borne by the public.
-
Air transport has very high equipment costs (aircraft), moderate
facility costs (airports: runways, terminals, and cargo handling),
and near-zero right-of-way costs (the air is free; the air traffic
control system might be considered a right-of-way cost).
The variable costs are the energy, labor, and other operating costs.
Transport entails expending energy per unit of weight per unit of distance.
Physically, the faster the transport, the higher the marginal energy costs
per unit of weight-distance (e.g., ton-miles). The smaller the individual
unit, the more expensive the labor costs per unit of weight. Up to
a capacity constraint, there’s a tremendous increase in the variable
costs as a function of weight- distance as you go from
-
pipeline to
-
waterborne to
-
rail to
-
truck/ automobile to
-
airborne transport.
These characteristics are encapsulated in the typical freight-rate schedule,
which is stepped as shown in Figure 4.4 in the S&deS text.
The texts distinguish between “terminal” (fixed) and “line-haul” (variable)
costs.
[see S&deS Figure 4.1]
[see S&deS Figure 4.2, Hamink Fig. 6.8: comparison
among modes]
Curvilinear freight rates
Because the fixed costs are incurred regardless of how heavy or distant
the shipment, longer or heavier shipments have to bear less of these fixed
costs per ton-mile. For most modes and shipments, the
cost of transportation per ton-mile falls as a shipment is heavier and/or
is shipped a longer distance. Another way to say the same
thing is that transportation costs increase with weight and distance carried,
but at a declining rate.
As a result, transport pricing schedules (price charged to the client,
as a function of distance or weight of the shipment) are often stepped
or
curvilinear: the price charged rises with distance and weight,
but at a declining rate of increase.
GEOGRAPHIC COMPETITION FOR MARKETS
See Hanink Fig. 6.11 & 6.12; S&deS Fig. 4.11 - 4.13,
showing delivered cost as a function of production costs, terminal costs,
and line-haul costs (transparencies shown in class). If the
products of the two producers are identical, the division of the market
between the producers is determined by the intersection of the delivered-cost
curves: you’ll procure the product from the nearest producer.
Even the producer with higher production costs will have some market.
This analysis assumed that the purchaser pays the cost of transport.
For bulky, commodity items, this is often the case.
However, for consumer goods, the producer generally pays the
cost of transport, folding it into the wholesale price.
-
Under freight-on-board (FOB) pricing, the base price includes packaging
and loading on a transport vehicle from the plant. The buyer pays
from shipping separately.
-
Under cost, insurance, and freight (CIF) pricing, the price includes
shipping costs to the buyer. Under strict CIF pricing, the price
charged to the buyer includes the precise costs of freight and insurance,
so the end result is the same as FOB pricing (see upper portions of
S&deS Figure 4.13; transparency shown in class).
-
Under uniform delivered pricing, the product carries the same price
regardless of the market location. Nearby markets “subsidize” the
shipment of the product to more distant markets. In this case, the
producers compete for market based on characteristics other than proximity
— price, reputation, service, etc. Note, however, that the producers’
profit levels will vary with how well located they are relative to their
markets.
Note that the text books do not make the distinction between CIF and uniform-delivered
pricing.
DESCRIBING TRANSPORT SYSTEMS
Since the purpose of a transportation system is to connect points, we
can compare very different transport systems by comparing how completely
they connect points.
See S&deS Figures 4.15 & 4.16 (transparencies shown in class).
The top figure (a) shows a “map” of a transport system, e.g., a road system.
We can draw a schematic diagram of this map, (b), in which each place (each
possible origin or destination) is called a vertex and each connection
(direct link) is called an edge.
We can define a variable beta, that describes the number
of connections, or edges, per points, or vertices: b = e/v
Figure 4.16 shows how b increases as the connectivity
of the system increases.
Note that beta is not accurately described as a index, as it
can easily have values greater than 1.0. A better measure would
vary from 0 to 1.0, so that when we knew the value, we would know just
how well-served the system was by edges (e.g., roads). The gamma
index is the ratio between the actual number of edges and the maximum
number of edges:
gamma = e / 3(v - 2)
The formula above is for a planar network: a network in
which any intersection of edges creates a vertex (like in a basic road
system; all the roads are in the same plane).
For a nonplanar network (such as an airline system, or perhaps
a system of limited-access highways), in which we edges or routes don't
intersect unless we make them intersect and create a vertex,
gamma = 2e / v(v - 1)
We can also compare the connection by looking at the degree of duplication
of possible routes. S&deS Figure 4.19 (transparency shown
in class) shows five network graphs, each with five vertices.
-
(a) and (d) are minimally connected networks. If any edge
were cut or disrupted, we would have two separate networks instead of one.
If the right-of-way costs are very high relative to total transport demand
(e.g., freeways in a fairly poor country or region), this might be the
best network structure.
-
(e) is a minimal circuit network: there are two ways to get
from each vertex to each vertex.
-
(c) shows a strict hierarchy, in which all connections go through
a central vertex; this inhibits interaction among the peripheral
places (e.g., hub and spoke airline routes; transport patterns in
a country with a primate city).
-
(b) is a maximally connected network: this is not uncommon
in a system where the right-of-way costs are very low compared to the total
transport demand and resources available (e.g., a secondary-road system
in a wealthy economy, or airline routes among major cities in a wealthy
country).
A note on accessibility: We made use of the concept of
accessibility when we developed a model
of urban land use, but we did not define the concept. If we imagine
a matrix in which each row is a vertex (a "node") that is an origin and
each column is a vertex that is a destination, the cell entries might be
a "0" if there is no direct edge ("link" or "nonstop route") between the
origin and destination, and a "1" if there is such an edge. The column
(or row) sums would be a measure of the accessibility of each vertex.
|
A
|
B
|
C
|
D
|
E
|
|
A
|
|
1
|
1
|
0
|
0
|
2
|
B
|
1
|
|
0
|
1
|
0
|
2
|
C
|
1
|
0
|
|
1
|
0
|
2
|
D
|
0
|
1
|
1
|
|
1
|
3
|
E
|
0
|
0
|
0
|
1
|
|
1
|
|
2
|
2
|
2
|
3
|
1
|
|
In this table, D is the most accessible vertex, and E is the least accessible
vertex. |
copyright James W. Harrington, Jr.
revised 15 April 2000