Geog. 461. LOCATION AND LAND USE
QUESTIONS FROM SECOND HOUR EXAMINATIONS
Covers through Spring, 1996; more recently used ones are at the
bottom
Typically you will be asked to answer thirty-three points worth of
questions.
Responses to more than thirty-three points will be scaled downward
proportionally.
Thus, if you attempt forty points worth of questions and successfully
answer thirty, your recorded score will be 33(30/40)=25.
Your time likely will have been better spent concentrating on the
specified number of questions.
When you are finished, on this exam form encircle the numbers of the
questions you chose to answer (and want me to grade) and submit it with
your responses.
Question Number (Point Value) Question or Challenge
- (6) Benefit/Cost analysis has been criticized as a criterion
used by governmental agencies for evaluating project plans on the bases
of 1) dissociation of benefits from costs, and 2) inappropriate
selection of discount rates. Discuss
- (10) An owner of a forest considers years-waited between tree
planting and cutting as being analogous to "inputs" in the context of a
Value Product Analysis, hoping to identify planning periods associated
with maximum percent returns, maximum net returns, and maximum gross
returns.
What are the impacts on these three planning periods of discounting
anticipated incomes to "present values?"
Account for the difference between the two sequences in which the three
periods end under conditions of discounting and not discounting.
- (8)Consider land speculation: under what economic conditions is it
likely to occur? ...where on the landscape is it likely to be found?
...how can its presence be recognized? ...what is its cause?
- (4) Differentiate between "waiting costs" and "ripening costs."
- (6) What is the significance of the term "residual" in the
"building residual" and "land residual" approaches to appraising
income-producing properties?
What provision is made for recapturing capital invested in improvements
and attachments to land in these schemes?
Why is no provision made for capital recovery when attributing income to
land?
- (6) The "summation method" is one scheme for determining future
income capitalization rates.
How does it take into account concerns of investors and the risks
associated with each?
- (6) Develop the notion of "transition zone" (as in Murphy's
expansion of Burgess's spatial model of urbanization patterns) from
Barlowe's discussion of margins of transference.
- (4) Differentiate between the "materials survey" and the
"unit-in-place" methods for placing values on structures.
- (1)) How do the "discounted net present value" and the "internal
rate of return" investment-evaluation procedures differ?
Under typical conditions, how do their optimum planning periods compare?
Under what special conditions might the discount rate for the former and
the percentage rate of return for the latter be the same for operators
seeking to determine optimum planning periods?
Under these special conditions, how do the planning periods compare?
- (8) What are the economic-geographic implications of government
policies promoting industrial decentralization--U.S. regional
air-quality control standards may have this consequence.
How might production scales of manufacturing establishments forced to
operate at "remote" sites be impacted?
Will their suppliers and/or customers be affected?
- (6) Differentiate among "contract rent," "land rent" and "economic
rent."
- (4) What is "conservation?"
- (4) Under conditions of varying incremental costs of project
scales, how might one identify those scales likely to yield maximum
percent, net and gross benefits?
- (6) The owner of a newly planted forest anticipates a one-time
payment at the time of cutting in, say, thirty-five years.
A large forest-products firm offers to purchase the land and trees today
for a stated price.
How might the owner evaluate the offer?
- (8) Determining "discounted net present values" (DNPV) of
accumulating, annually received benefits enables developers to
anticipate numbers of years required for discounted returns to be
maximized.
Of what value is such knowledge?
What is the effect on planning-period length of adopting the higher of
two discount rates that might be considered in a hypothetical DNPV
analysis.
- (6) Differentiate between "highest comparative advantage" and
"lowest comparative disadvantage."
- (8) The notion that rent is an "unearned increment" accruing to
land owners was recognized by David Ricardo, Karl Marx and Henry George,
all of whom were "social critics" in their days.
Discuss the thinking of any two of these. ...all three for a couple of
"bonus points."
- (8) Even when many available suburban locales afford land rents
that are at best only equal to those of few available urban sites, why
might operators elect to locate businesses in their suburbs rather than
within central cities?
- (8) Assuming inputs to be continuously variable, verify my
estimates of land rents generated over a short time period for sites at
20 and 80 distance units from the point of minimum aggregate
transportation costs for an operator whose marginal and average
production costs vary with output levels and shown below.
Are my estimates are $35.00 and $18.00, respectively, close--within
$5.00--to yours?
If not, provide your land rent estimate[s] for the errant one[s].
- (10) Consider two operators producing the same thing in the same
way, with identical factor costs--payments to labor and capital, etc.
One is close to the market at which they sell their products under
competitive conditions and the other is quite far away.
Justify differences in scales of operation that each may select in order
to maximize net returns (max(TR-TC)).
How might their production intensities differ if both decide to maximize
percentage returns (max(TR/TC))?
Compare the ranges of profitable operating intensities available to
each.
- (4) Write an equation for calculating the present value of future
income expected at a particular time in the future and define all of its
terms.
- (8) Differentiate among "cut-off period," "pay-back period,"
"average rate of return" and "net average rate of return."
- (8) Differentiate between "spatial margin of transference" and
"spatial margin of production."
Differentiate between "extensive margin of land use" and "extensive
margin of production."
- (8) Differentiate between "development-" and "supersession costs"
arising from land redevelopment.
- (6) Of what significance is "geometry"--distance and area--in
situations where manufacturers consider relocating production activities
and are confronted with having to select among sites located at varying
distances from large market centers?
Under what circumstances might operators prefer more remote locations
with relatively low land-rent potentials to more central sites with
higher ones?
- (8) Write an equation for calculating the present value of future
income expected at one particular time in the future.
Write a second equation for calculating the present value of future
income expected each year for a particular number of years into the
future.
Define all terms in both equations.
- (8) Differentiate between "spatial margin of transference" and
"spatial margin of production." Differentiate between "intensive margin
of land use" and "intensive margin of production."
- (10) Refer to the attached table.
.us Note that input-units cost $4.00 each.
How many input units will be consumed when the three tracts are used at
or just below their intensive margins of land use?
Has the analysis been carried far enough to recognize the intensive
margins of production for any of the tracts (and, if so, which ones and
how many input units would be consumed by each to sustain operations at
that level)?
Following the equimarginal principle, how would you allocate thirty of
the $4.00 input units among the three tracts and what would be the net
return?
- (6) Differentiate among the "economic law of diminishing returns,"
the "physical law of diminishing returns" and the "secular law of
diminishing returns."
- (6) The term "spatial margin of production" is used to describe
the locus of points on a landscape on one side of which production of
some output is prohibited because of transportation costs.
Compare this term to "extensive margin of land use," which can be
derived from a cost analysis of operators' production.s
- (8) When Ricardo spoke of "natural fertility" as being the key
determinant of agricultural land value, he really implied a number of
environmental characteristics that contribute to agricultural
productivity of land.
What natural characteristics contributed to making lands in the colonies
more productive than land in Britain?
- (6) Dependency is a critical factor in determining demands for land
resources in many regions and, indeed, may reach crisis levels in the
future.
Discuss.
- (8) Assuming that competitive market conditions prevail and all
producers of some output use the same means of production, describe the
effects of varying distances from markets on the following:
a)$intensive margin of land use; b)$extensive margin of production;
c)$range of profitable operation scales; d)$prices paid at markets
- (6) Assuming all producers of some output use the same means of
production, describe the effects of varying distances from markets on
operators attempting to follow the "equimarginal principle" as they
commit inputs to operations at sites located near the market, near the
spatial margin of production, and at places between the two.
- (4) What is meant by the term "highest and best use?"
- (8) In what ways can you describe the limits to the "zone of
rational behavior" in the context of Value Product Analysis? (Hint:
maximum MVP is not one of the ways.)
- (6) What sorts of changes are accounted for in the notion of the
demographic transition, and in what sequences to they reach their
maxima?
- (4) Differentiate between the terms "highly elastic" and "highly
inelastic" in the context of either demand or supply schedules.
- (8) Differentiate between "margins of transference" and "zones of
transference."
How are they related geographically?
How are they related to "spatial margins of production?"
- (8) Cast Barlowe's notion of the "extensive margin of land use"
into the contexts of Ricardo and Von Thunen.
- (6) Simon's article, "Resources, Population, Environment: An
Oversupply of False Bad News," seems to question Marshall's "secular law
of diminishing returns."
Discuss.
- (6) Differentiate between migratory and sedentary agriculture as
regards people's relationships with the resources on which they depend.
- (6) Consider two operators producing the same thing in the same
way, with identical factor costs--payments to labor and capital, etc.
One is close to the market at which they sell their products under
competitive conditions and the other is quite far away.
Both adopt as their production objective the maximization of net
returns.
How does that decision affect their operations in similar ways? ...in
different
ways?
- (6) "Planning periods" are critical to developers and resource
users.
Their selection is affected by operators' production objectives and
discount rates they choose to apply to future incomes.
What are the general effects of each?
- (8) What advantages are offered analysts of costs and benefits by
considering ratios of incremental benefits to incremental costs?
- (6) What are "supersession costs?"
Who is affected by them?
Which ones are actual losses and which are opportunity costs?
- (8) Barlowe describes conservation as "the wise use of resources
over time."
He then goes on to develop notions of conservation in the context of
ordinary production functions.
Explain
- (10) Write the "land rent" equation commonly used by geographers to
assess impacts of production and transportation costs.
Define all its terms.
Which elements account for the thinking of Ricardo? ...which ones
account for Von Thunen?
Using the same notation, rewrite the equation in such a manner that an
individual operator might recognize his "intensive margin of land use."
- (8) The "no-rent margin" is easy to portray graphically when
considering the Von Thunen model of agricultural land uses.
Prepare a diagram of a no-rent margin situation under conditions
appropriate to Ricardo's model.
So that I know you know what you're doing, illustrate a different
Ricardian situation allowing profits to operators faced with identical
market prices.
- (6) Mathematically speaking, the "extensive margin of land use" can
be expressed in the same way as the "extensive margin of production."
Explain.
- (6) What's the objective of the equimarginal principle?
In what ways does it help operators?
- (6) A potential buyer reviews "the books" of a mine operation that
is available for purchase to develop a sense of its future
income-producing capabilities.
How might that information be employed by the seller to arrive at an
asking price, and by the potential buyer to prepare an offer?
How will the potential buyer's offer differ from the seller's asking
price if the buyer intends to maintain current operations, but has used
a higher discount rate to estimate the mine's worth?
How might the potential buyer's offer differ from the seller's asking
price if they apply the same discount rate to future earnings, but after
purchasing the mine the buyer intends to accelerate extraction rate by,
say, one third with relatively little increase in operating costs?
- (6) Consider Murphy's "transition zone" surrounding an expanding
Central Business District (CBD) to be the landscape expression of the
margin of transference discussed by Barlowe.
Under conditions of rapid growth, some developers may commit investments
to sites relatively remote from the established CBD (perhaps later
finding their efforts were "premature developments", but not
necessarily).
Justify their decisions employing the notion and properties of Barlowe's
"zone of transference".
- (10) Consider two operators producing the same thing in the same
way with identical factor costs--payments to labor and capital, etc.
One is close to the market at which they sell their products under
competitive conditions and the other is quite far away.
Justify differences in scales of operation that each may select in order
to maximize net returns (max(TR-TC)).
How might their production intensities differ if both decide to maximize
percentage returns (max(TR/TC))?
Compare the ranges of profitable operating intensities available to each.
- (4) In terms of the "investment strategies" approach to evaluating
development options, differentiate between "cut-off periods" and
"pay-back periods."
- (9) Differentiate between "development-" and "supersession costs"
arising from land redevelopment.
How do "waiting costs" and "ripening costs" fit into the picture?
- (6) How do the most primitive aspects of landscape
geometry--distance and area--enter into decisions by competing owners
attempting to attract potential renters or buyers to their tracts of
land?
- (6) Write an equation for calculating the present value of future
income expected at one particular time in the future.
Write a second equation for calculating the present value of future
income expected each year for a particular number of years into the
future.
Define all terms in both equations.
- (8) What production objectives can be identified in the various
analyses of the "economic law of diminishing returns" that cannot be
recognized in "physical product analysis".
What production relatiships indicate that objective?
(Hint: TVP = TFC is not one of them.)
- (8) Describe the conditions of a "competitive market?"
Why has the assumption of a competitive market been critical to
developing notions of intensive margins of land use in lecture and
textbook discussions?
- (10) Define the intensive margin of land use in as many ways as you
can.
Employ a value-product analysis presentation to diagram how its value
can be expected to change with decreasing access to central markets.
On the same sketch, show how production intensities vary as a
consequence.
- (8) Think of benefit-cost analysis as a value-product-like
production function.
What "project scale" has been achieved when the ratio of marginal
project benefits to marginal project costs equals one (1.0)?
What scale has been achieved when the ratio of marginal project benefits
to marginal project costs equals the ratio of average project benefits
to average project costs? ...when the ratio of marginal project
benefits to marginal project costs equals zero (0.0)? ...when the ratio
of average project benefits to average project costs equals one (1.0)?
- (8) The "extensive margin of production" can be defined in eight
different ways, two of which are "MVP$=$AVP" and "min AC"
Write out the other six definitions using similar terminology.
(Limit what you include in your symbolic expressions to selections from
among the following terms and mathematical operators: TPP, MPP, APP,
TVP, TFC, MVP, MFC, AVP, AFC, TR, TC, MR, MC, AR, AC, max, min, +, -,
*, /, =, >, <.)
Why are there only two definitions from Physical Product Analysis?
- (4) An operator recognizes only one solution to a costly production
problem.
In deciding whether or not to implement that solution, which of the
following investment criteria is the operator likely to employ and why?
average annual rate of return; average annual return; pay-back period;
cut-off period
- (10) Some time ago it was suggested by Prof. W. Isard, an economist
and the principal founder or the Regional Science Association, that
every production decision also is a location decision.
Now, that known contrarian Prof. T.--once again attempting to give
primacy to the geographical perspective, suggests that every location
decision also is a production decision.
In one paragraph justify Prof. T.'s contention.
In a second paragraph (and maybe a third) explain how it is that these
two statements are not really contradictory, but at the same time are
not saying the same thing either.
- (8) Differentiate between "use capacity" and "economic capacity."
Which of the various production objectives (that is, to operate at the
extensive margin of production, ...the intensive margin of production,
...the intensive margin of land use, or ...the extensive margin of land
use) satisfies operators attempts to produce at the economic capacities
of sites at which they undertake activities?
How will operators know they are operating at the economic capacity or
their production activity?
- (4) The equi-marginal principle suggests that owners of several
tracts of land with varying economic capacities should commit
investments to operations on them differentially.
Explain.
- (8) Write a pair of equations for the present value ("PV") of net
income from: 1) a single payment expected some time in the future
("FI"), as when owners anticipate selling a grown forest "Y" years after
planting it; and 2) a stream of annual payments is expected in the
future, as when owners lease a tract of "improved" land to others for a
term of "Y" years.
When year "Y" rolls around, which owner (the person who owns the forest
or the one who owns the leased land) will have to receive the larger
payment in that year order to satisfy the expectation of earning, say,
an eight percent return on similar totals of initial investments plus
annual operating costs?
Why?
- (15) Prepare a sketch of the relationships among marginal value
product, average value product, marginal factor cost and average factor
cost.
Identify the following key points: 1) the extensive margin of
production; 2) the intensive margin of production; 3) the intensive
margin of land use; 4 and 5) the limits of the range of profitable
operations.
Duplicate the sketch without any of the labels.
Add a "local cost line" (to be labeled "LC") based on the assumption
that the original represents a "market location" and LC depicts the
effects of rising transportation costs with increasing distance from
markets.
Now, identify the above-mentioned margins and range reflecting a "remote
location."
Which of the comparably labeled elements on the two diagrams are
different and how?
Which ones are the same?
- (10) Differentiate between "development-" and "supersession costs"
arising from land redevelopment.
What are "waiting-" and "ripening costs," and to which of the above two
categories to they belong?
Where does "unrecovered capital investment" fit into the picture?
- (12) Differentiate between "spatial margin of transference" and
"spatial margin of production."
How do they differ from the "margin of transference" and "no-rent
margin" identified by Barlowe?
In what way is Barlowe's presentation of this material more general
than Prof. T.'s?
How might Prof. T. generalize his diagramatic presentation on the
effects of distance from markets on production-intensity decisions to
accommodate Barlowe's discussion?
- (4) What is a "competitive market?"
Do they really exist?
Who is (which producers are) most likely to encounter them?
- 1 ea. Define or identify in the context of this course--select as
needed to bring your "total points attempted" to that specified in the
instructions for this examination.
- excess profits;
- MVP = MFC;
- margin of transference;
- spatial margin of transference;
- physical-product analysis;
- no-rent margin;
- A. Losch;
- premature development;
- central good or service;
- annular effective demand;
- wise use;
- speculation;
- local price;
- pay-back period;
- intensive margin of production;
- economic capacity of land;
- AVP = 0;
- discount rate;
- MPB/MPC = APB/APC;
- indifference;
- (B-OC)/C;
- opportunity cost;
- Malthus;
- the equimarginal principle;
- MVP;
- locational advantage;
- population pyramid;
- resource pyramid;
- frost free period;
- productivity index;
- proportionality;
- in perpetuity;
- income capitalization;
- capital recovery;
- urban cost plateau;
- isodapane;
- internal rate of return;
- Harris and Ullman;
- incurable depreciation;
- site characteristics;
- R. M. Haig;
- social opportunity costs;
- use capacity of land;
- competitive market;
- MPB/MPC;
- planning period;
- demand schedule;
- AVP$=$AFC or AR$=$AC;
- MPB/MPC$>$1.0;
- land rent;
- net accumulating benefit;
- indivisible input;
- market equilibrium
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