Security Patterns: A Defensible Approach Toward
Landscape and Environmental Planning
(This paper is reprinted from: Proceedings, Athens International
Conference , Urban Regional Environmental Planning and Informatics
to Planning in An Era of Transition (T. Sellis and D. Georgoulis
eds.). National Technical University of Athens, Faculty of Architecture
Dept. of Urban and Regional Planning, PP453-463, 1997)
ABSTRACT
The methodology of landscape and environmental planning have been
severely challenged when classical concepts and models such as economic
optimum, ecological fitness, safe minimum standard, carrying capacity
and even sustainability have been questioned. It is observed that
(i) It is extremely difficulty to have planning either aimed at
ecological optimum or economic maximum, i.e. planning is not determined
nor absolute in terms of environmental and economic criteria, it
is defensible. (ii) Environment may impose some "ultimate"
or "absolute" constraints on development, which planning
has to come to terms with, but such limits and constraints are hardly
definable nor acceptable, and therefore, have limited usefulness
in planning, i.e. planning is in need of some defensible strategies
to rationalize the planning process.
A defensible approach to landscape and environmental planning is,
therefor, proposed. It is argued that planning is a defensible process
and defending using some strategic frontiers at security levels
(spatially security patterns) may be more reasonable and effective.
Using a case study, it is further demonstrated that security levels
and patterns are definable based on the disproportionate and irregularity
quality of the dynamics of the ecological processes.
Key words: Landscape planning, spatial analysis, ecological planning,
planning methodology
1 INTRODUCTION: FROM MAXIMUM TO MINIMAX
Approaches toward sustainability in planning can be discussed in
two categories, the maximization-optimization approaches and minimax-constraint
approaches. Each category is further differentiated according to
economic criteria and ecological criteria, resulting in a 2 X 2
matrix (Table 1)
Table 1 Major approaches to the sustainability
of environment and development
Maximization-optimization approaches Minimax-constraint approaches
Economic criteria Economic efficiency, maximum difference between
total social benefits and total social costs, based on cost-benefits
analysis. Avoiding very high social costs, including: Safe minimum
standards (SMS), Sustainable constraints (CS), Precautionary principles
(PP),Development threshold costs, etc.
Ecological criteria Ecological fitness, optimum relationship, based
on suitability analysis Avoiding ecological irreversibility, including:Carrying
capacity, ultimate environmental threshold (UET), etc.
Both economic-maximization and ecological-optimization
approaches follow the model of rationality, which depends on full
information to make the best choice and a belief that knowledge
can lead to the best action. The common rationale behind the minimax-constraint
approaches is not to seek the best solution but to avoid the worst
case.
1.1 Economic Maximization Approaches
In the economic maximization approaches, projected monetary benefits
and costs are used to allocate environmental and man-made capital.
The basic criterion is cost efficiency, and cost-benefits models
are used to search for the maximum net social benefits of using
or preserving environmental assets. By means of monetary terms,
depleted environmental assets can be substituted by trade-offs.
The reliability of these approaches in conservation and sustainable
use of the environment is, however, doubtful (Foy 1990; Pearce 1994).
1.2 Ecological Optimization Approaches
The ecological-optimization approaches are based on suitability
and capability analysis of the land according to physical attributes
such as geology, hydrology, soil, vegetation and so on. The goal
of planning is to search for the fittest environment for individual
land use and activities. The ecological-optimization approaches
are well known through McHarg's Design With Nature (McHarg 1969),
which can be summarized as "all systems aspire to survive and
succeed. This state can be described as syntropic--fitness--health.
Its antithesis is entropic--misfitness--morbidity. To achieve the
first state requires systems to find the fittest environment , adapt
it and themselves" (McHarg 1981). The objective of landscape
planning is thus the fittest plan, where individual uses of landscape
match the intrinsic values of the landscape. Though widely used,
ecological-optimization approach has been criticized for being physically
deterministic and technocratic (Litton and Kieiger 1971).
The common feature between ecological-optimization approaches and
economic-maximization approaches is their technocracy, or rationality
and deterministic. They are based on the assumption that there is
a best solution at which planning should be aimed, and which can
be revealed through complete information and full knowledge through
systematic analysis. It was argued, however, that all human knowledge
is fallible and uncertain, knowledge simply does not show us what
we must do ( Davidoff 1965; Faludi 1987). No real decision-making
process can meet the demands of rationality: complete information
and the simultaneous consideration of all possible alternatives.
Man does not optimize, he "satisfices", that is he looks
for a course of action that is "good enough" or "satisficing"
(Simon 1957, 1976). Furthermore, the economic-maximum approaches
and ecological-optimum approaches are, incompatible (Pearce 1973).
This recognition leads to the advancement of putting constraints
on the maximization process of development as discussed in the next
sections.
1.3 Economic Principle of Minimax-constraint Approaches
(a) Safe Minimum Standards (SMS)
Among various development constraints proposed by the economists,
the concept of Safe Minimum Standard (SMS), first developed by Ciriacy-Wantrup
and further developed by others (Ciriacy-Wantrup 1968; Bishop 1978),
is one of the most widely discussed. It aims at minimizing the potential
of the worst case such as the extinction of a species, which is
irreversible and whose social cost is uncertain.
The SMS principle was to deal with the problem of endangered species.
It is argued that species are renewable resources within limits
but have a threshold or critical zone. Once that critical zone is
reached, further depletion is irreversible. This reduces the reservoir
of potential resources for humanity. The long-run implications of
permitting the reservoir to be reduced are unpredictable because
of both social and natural uncertainties. A solution to prevent
this potential catastrophe or the worst case from happening is the
adoption of a safe minimum standard at which enough habitat is preserved
to avoid such a catastrophe. The SMS is an application of the minimax
principle rooted in game theory (von Neumann and Morgenstern 1947;
Luce and Raiffa 1957).
In addition to the minimax principle and SMS, several other similar
and closely related concepts have been proposed by economists, such
as "sustainable constraints" (CS), the "precautionary
principle" (PP) and "reserved rationality" which
implies the commitment of resources now available to safeguard against
the potential adverse future outcomes of some decisions (Foy 1990;
Perrings 1991; Pearce 1994).
In all cases there is a presumption to conserve the environmental
assets unless the social cost of conservation is "very high."
This argument is further based on the assumption that environmental
degradation beyond certain limits causes "the worst case"
of large social loss for its uncertainty and irreversibility. Two
questions arise:
The first question is about the "worst case." The "worst
case" for decision making purposes in the minimax approach
is identified as being based on incomplete information, it can not
be the most extreme of a known range of outcomes, since the range
of outcomes is not known, nor can it be the worst imaginable case.
It is thus always possible, as is argued by some scholars (Perrings
1991), to construct an excuse for any policy, in which the worst
case environmental costs are infinite, but such a construction would
not only paralyze all activity, it would fail utterly to discriminate
between different policies .
The second question concern "very high" social cost. Neither
SMS nor other similar approaches have defined what is meant by "very
high". It is noted that SMS, PP, and SC approaches look fine
when one is considering small changes in developed countries, but
the reality in the developing world is that the social cost of further
land conversion to meet the need of population growth will probably
be very high, but so is the cost of not converting (Pearce 1994).
(b) Development Threshold
Development threshold analysis was originated by Malisz in the early
sixties, and further advanced by Kozlowski and others (Kozlowski
1986; United Nations 1977; Kozlowski and Hill 1993). It was first
proposed for urban planning especially residential planning, when
it was recognized that development often encounters some physical
limitations imposed by the environment. These limitations cause
discontinuity in the development processes expressed by a slowing
down or even a stopping of those processes unless the limitations
are overcome by additional costs of development, namely threshold
costs. These threshold costs, which may be high, would not only
be investment costs but also social and ecological costs. The concept
of discontinuity and of additional cost are considered development
thresholds. It is recognized that some thresholds, named as critical
thresholds, impose distinctly greater constraints on further development
in an analyzed area than do others. Overstepping of these thresholds
may involve unusual difficulties (excessively high cost), and may
be of critical significance in the formulation of development strategies.
Thresholds that cannot be overcome by accessible technical means
(at a given level of technology) or which can be overcome only at
the expense of serious and irreversible damage to the geographic
environment can be described as ultimate (or boundary) thresholds.
These thresholds indicate the "final" boundaries of possible
location, safe scale, type and timing of particular developments
(Kozlowski 1986).
Several limitations of threshold analysis have been recognized (Kozlowski
1986). It is basically a quantitative technique in which, conventionally
various alternatives are compared by means of a single common denominator,
namely threshold costs. Though other social and environmental costs
are supposed to be taken into account, threshold cost virtually
takes only economic cost into consideration.
1.4 Ecological Constraints of Development
(a) Carrying Capacity (CC):
The concept of carrying capacity (CC) is the most widely used as
an ecological or environmental constraint over development. CC was
originally used in biology to indicate the maximum number of individuals
of a particular species that can be supported by a given area (e.g.
Odum 1971). Defined as "capacity of an ecosystem to support
healthy organisms while maintaining its productivity, adaptability,
and capability of renewal" (IUCN/UNEP/WWF 1991), it is now
broadly applied to describe the limits of environment or ecosystems
to accommodate development and specific activities. The concept
of CC implies that : "If we apply to our lives the rules we
seek to apply when managing other species, we should try to leave
a substantial safety margin between our total impact and our estimate
of what the planetary environment can withstand. This is more essential
because while we know that the ultimate limits exist we are uncertain
at exactly what point we may reach them." (IUCN/UNEP/WWF 1991,
p.43).
Like the concept of safe minimum standard, the CC concept is useful
in landscape and environmental planning until an operationally meaningful
definition can be found. Unfortunately, efforts to determine such
a definition is, in most cases, far from being successful. Carrying
capacity is in most cases not an inherent and fixed quality of the
site. Definitions of what constitutes an unacceptable level of impact
vary with management objectives. Consequently, depending on one's
objectives, any area has many possible capacities, and there are
as many opinions as there are "capacities" (Held, Brickler
et al. 1969). The issue here virtually becomes the acceptability
of human impacts on environmental quality, and the trade-offs between
loss of environment and the increase of uses, in addition to the
investment required. This is especially the case when human uses
of landscape in many cases have surpassed the biophysical capacity.
(b) Ultimate Environmental Thresholds (UETs):
The approach of ultimate environmental thresholds is a new development
of the threshold analysis that is originally developed in urban
planning emphasizing economic aspects of development. The new scope
of threshold analysis directly addresses the regenerative capability
of the environment and ecosystems. This leads to the recognition
of environmental thresholds or thresholds imposed directly by natural
resources some of which represent significant and specific development
limits. Among these thresholds there are some final boundaries,
called Ultimate Environmental Thresholds (UETs) which are: "the
stress limit beyond which a given ecosystem becomes incapable of
returning to its original condition and balance. Where these limits
are exceeded as a result of the functioning or development of particular
tourist or other activities, a chain reaction is generated leading
towards irreversible environmental damage of the whole ecosystem
or of its essential parts." (Kozlowski 1986, p.146).
It has been argued that the definition of UETs, which can be considered
as having final (boundary, ultimate) character, is of key importance
at any planning level. They should play a critical role in defining
concrete and "absolute" ecological limits and establishing
an ecologically sound "solution space" within which development
proposals would have to be generated and contained. This space,
is considered to be the contribution of planning towards defining
"carrying capacity."
It is stated that planning must both safeguard the appropriate conservation
of nature and, at the same time, guide or even stimulate socio-economic
development. This contradiction can be dealt with by subdividing
the planning process into two independent but mutually related strands:
restrictive and promotional (Kozlowski and Hill 1993). In the restrictive
strand, priority is given to ecological conservation and resource
protection. In the promotional strand, planning should concentrate
on elaborating a whole range of development options (scenarios)
to be contained and fostered within the "solution space"
determined by the restrictive strand.
The main objective of the UETs method, as well as being the main
contribution to planning for sustainability, is the definition of
ecologically sound "solution space." Beyond this space,
priority should go to the protection of natural resources. UETs,
however, can hardly be used to address such a situation when planning
must to face the survival of humanity as well as the survival of
other species, when definitions of an economically sound "solution
space" are no less important than an ecologically sound "solution
space". This is an issue particularly important in the developing
countries, where survival is still the most important goal of the
planning. The related difficulty comes about when the two "solution
spaces," the ecological (survival of species) and the economic
(survival of humanity), overlap and compete with each other. Should
the priority go to the sustainability of natural resources, or to
the temporary survival of humanity?
Above literature reviews lead to the following observations:
(i) It is extremely difficulty (if possible at all) to have planning
either aimed at ecological optimum or economic maximum, i.e. planning
is not determined nor absolute in terms of environmental and economic
criteria, it is defensible.
(ii) Environment may impose some "ultimate" or "absolute"
constraints on development, which planning has to come to terms
with, but such limits and constraints are hardly definable nor acceptable,
and therefore, have limited usefulness in planning, i.e. planning
is in need of some defensible strategies to rationalize the planning
process.
2. THE APPROACH OF SECURITY PATTERNS: THE CONCEPT
It is assumed that there is some disproportionate irregularity,
or step-type quality in the effects of landscape spatial variables
on certain processes (e.g. the ecological processes of species dispersal,
spread of disturbances, the visual process of perception and preference,
the economic process of agricultural conversion, etc.). At some
thresholds (in terms of scale, shape, number, portions or positions
of landscape components), changes in landscapes result in disproportionate
impacts on the processes (e.g. disproportionately impede or promote
species dispersal). These thresholds are thus critical in safeguarding
the processes. They are not the ultimate defense lines of the process,
but they are "stop signs" for decision making, which signals
process defenders and decision makers to "slow down and carefully
consider". Overstepping these thresholds will disproportionately
undermine the security of certain processes, and dramatically increase
the risk of the irreversibility of decision making. Landscape and
environmental planning should, therefore, pay attention to identifying
those defense thresholds that are critical and more effective in
safeguarding the landscape processes of our concern, reducing the
risk of irreversibility of decision making.
Each of the thresholds is associated with a certain security level
for the process that one wants to safeguard. It is assumed that
in correspondence with individual security levels, there exists
certain spatial patterns, namely security patterns (SPs) --strategic
portions, positions and their relationships-- that have or potentially
have critical influences on landscape processes. SPs can most or
more effectively safeguard landscape-related processes while maximally
providing possibilities for changes at a certain security level.
Using a case study, the next paragraph is to demonstrate that there
are some kind of thresholds that can be used to define security
levels and security patterns. These SPs may be useful for planners
and defenders of a certain process, e.g., ecologists, to safeguard
the process in a more effective way.
3. IDENTIFY SECURITY LEVELS AND SECURITY PATTERNS:
A CASE
The case is Red Stone National Park, China, 313 square kilometers
in size. The ecological processes of species dispersal and maintenance
are threatened by tourism development and agriculture . Landscape
planning is aimed at providing defensible solutions for the landscape
change so that the ecological processes can be safeguarded effectively
at the minimal sacrifice of economic cost. The SP approach is proposed.
Four steps are followed in identifying security levels and security
patterns:
Step 1 The target species and processes
Three groups of species are targeted: medium-sized mammals (Cervidae
and Viverridae families), pheasants (Phasianidae family) and amphibians
(Cryptobranchidae and Ranidae families). These species are native
to this region and have an endangered status.
Step 2 The Source for the process
Remnant forest patches are identified as the source of the process
of native species dispersal and maintenance
Step 3. The resistance surface of the ecological process
The resistance surface that represents the dynamics of the ecological
process are developed using a minimum cumulative resistance(MCR)
model (Knaapen, et al 1992; Yu, 1995a), this model conceives the
dynamics of species dispersal as a function of sources, distance
and intermediate landscapes. Native remnant forest patches of the
target species are taken as sources of dispersal. Intermediate landscapes
are evaluated for their resistance to the dispersal of species,
and the dynamics of the dispersal process is simulated based on
the minimum cumulative resistance to the dispersal of a certain
species. Comparative resistance values are assigned to various landscape
attributes. Various factors such as cover, slope, elevation and
aspect may contribute to the resistance value of each cell of the
landscape. Figure1-2 show a resistance surface for the pheasants
(other resistance surfaces see Yu, 1996a).
Step 4. Security levels and security patterns
From figure 1, two charts can be developed that represent two mathematical
relationships (Figure 3-4):
Chart 1 (Figure 3) is developed when a section is made across the
resistance surface. It represents a relationship between distance
(from the source) and cumulative resistance. A step-wise irregularity
is recognized. It suggests that at some points away from the source,
namely points a and b, resistance may increase dramatically when
the species move any further. Within a certain range, landscape
resistance only increase slowly and linearly. These steps are thresholds
for a certain species or groups of species. Any points on the sections
are actually resistance isoline on a surface (Yu, 1996a). It is
therefore, argued that these thresholds (resistance isolines) can
be used to define buffer zones of ecological protection at various
security levels .
Chart 2 (Figure 4) is developed when a histogram is developed that
represents the relationship between area and resistance level in
the surface. Some kind of step-wise irregularity is also recognized
(see Yu, 1996a for the realistic charts). Increase in the area for
ecological protection is associated with the decrease of use frequency
by species in the periphery areas. At some points, the increase
of the protected area may dramatically increase the accumulative
resistance, namely, the chance for the species to use the increased
area is dramatically reduced. These thresholds may be very useful
in determining the effective area of the protected landscapes.
These accessibility thresholds not only imply relatively effective
points for the buffering in order to reach a certain level of ecological
security, but also indicate a certain shape of effective buffer
zone bounded by isolines. Buffering according to resistance further
indicates where and how to change the landscape so that a better
shape of buffered area can be achieved by reducing landscape resistance
or smooth the intermedium, but not by simply drawing a boundary
labeled as "buffer zone" (Yu, 1996a).
When integrating the information from both chart 1 and 1 (Figure
3-4), the mathematical thresholds can be translated into spatial
patterns, namely ecological security patterns, defined through lower
resistance portions and positions of the landscape and their inter
relationships. More components of security patterns can also be
identified according the properties of the resistance surface. The
surface model developed by W. Warntz (1966, 1967) are especially
useful in spatial analysis of security levels and security patterns
(Yu, 1995b, 1996a). Figure 2,5,6 are three security patterns for
the protection of pheasants at three security levels: low, moderate
and high.
These ecological SPs can be used by ecologists as defensive frontiers
for the defense of the ecological processes at various security
levels in the process of landscape planning and change(Yu, 1995a,c,
1996b).
3. DISCUSSION
Various alternative change models can be developed based on SPs.
They include: differentiating management concentrations based on
SPs; strengthening landscape infrastructures based on SPs; modifying
introduced change models or trade-off SPs and exercising spatial
bartering based on SPs.
The essence of putting the concepts of security, patterns and changes
together is that landscape planning and change is considered a procedure
of defending, spatial bartering and gaming among defenders of various
processes. It is the difference in values that makes landscape planning
a defensible procedure (Steinitz 1979), and SPs are spatial representations
of these values for individual processes represented by individual
defenders. Each side of the game would probably claim his SPs as
frontiers of defense and expansion. Loss of these frontiers means
a dramatic threat to the security level of certain processes. Spatial
bartering may result in the retreat or advance of frontiers that
will alter the security level, but may also result in a rearrangement
of spatial patterns without losing or reducing the security level
(Yu, 1996b).
SPs do not imply the final defense boundaries of the security of
certain processes. The minimum safe standard, or ultimate environment
thresholds, if definable, may contribute to the definition of one
level of security pattern, which is, however, not the only strategic
frontier, neither the first nor the last. The definition of security
patterns is flexible in the sense that it corresponds to the security
levels one expects to achieve. SPs are not the "dead ends",
but "stop signs" where decision makers as well as defenders
of various processes should "slow down and carefully consider"
and maximally explore alternatives within a certain security level,
and only knowingly overstepping a certain security level when none
of the alternatives within this security level is "satisficing."
This paper is therefor concluded with the following arguments:
(i) landscape and environmental planning are not for the optimum
(neither ecologically nor economically);
(ii) planning should not depend on the "ultimate" or "absolute"
boundaries to defend the environment or ecologically processes,
since such boundaries may already have been passed or socially unacceptable
or does not exist; there may be no "worst" case;
(iii) planning is a defensible process and defending using some
strategic frontiers at security levels (spatially security patterns)
may be more reasonable and effective;
(iv) security levels and patterns are definable based on the disproportionate
and irregularity quality of the dynamics of the ecological processes.
ACKNOWLEDGE: Thanks are due to Carl Steinitz, Stephen
Ervin and Richard T. T. Forman at Harvard University for their advice
and support of this research, Hugh Keegan and other staffs at the
ESRI (Environment Systems Research Institute) for their support.
REFERENCES
Bishop, R. C. (1978). Endangered species and uncertainty: the economics
of a safe minimum standard. American Journal of Agricultural Economics
60: 10-18.
Ciriacy-Wantrup, S. V. (1968). Resource Conservation: Economics
and Policies. Berkeley
Davidoff, P. (1965). Advocacy and pluralism in planning. Journal
of the American Institute of Planners 31(331-8).
Faludi, A. (1987). A Decision-centered View of Environmental Planning.
Pergamon Press.
Foy, G. (1990). Economic sustainability and the preservation of
environmental assets. Environmental Management 14(6): 771-778.
Held, R. B., S. Brickler, et al. (1969). A Study to Develop Criteria
for Determining The Carrying Capacity of Areas Within the National
Park System. Department of Recreation and Watershed Resources, Colorado
State University
IUCN/UNEP/WWF (1991). Caring for the Earth: A Strategy for Sustainable
Living. Gland, Switzerland,
Knaapen, J. P., M. Scheffer, et al. (1992). Estimating habitat isolation
in landscape planning. Landscape and Urban Plann. (23): 1-16.
Kozlowski, J. (1986). Threshold Approach in Urban, Regional and
Environmental Planning: Theory and Practice. St. Lucia, Queensland,
Australia, University of Queensland Press.
Kozlowski, J. and G. Hill (1993). Towards Planning for Sustainable
Development: A Guide for the Ultimate Environmental Threshold (UET)
Method. Vermont, USA, Avebury, Ashgate Publishing Company.
Litton, R. B. J. and M. Kieiger ( 1971). (A Review on) Design With
Nature. Journal of the American Institute of Planners 37(1): 50-52.
Luce, R. D. and H. Raiffa (1957). Games and Decisions: Introduction
and Critical Survey. New York, John Wily & Sons, Inc.
McHarg, I. ( 1969). Design With Nature. John Wiley & Sons, Inc.
McHarg, I. (1981). Human ecological planning at Pennsylvania. Landscape
Planning (8): 109-120.
Odum, E. P. (1971). Fundamentals of Ecology. Philadelphia, PA.,
Saunders.
Pearce, D. W. (1973). An incompatibility in planning for a steady
state and planning for maximum economic welfare. Environment and
Planning 5: 267-271.
Pearce, D. W. (1994). The great environmental values debate. Environment
Planning 26: 1329-1338.
Perrings, C. (1991). Reserved rationality and the precautionary
principle: Technological change, time and uncertainty in environmental
decision making. Ecological Economics: The Science and Management
of Sustainability. New York, Columbia University Press. 154-166.
Simon, H. A. ( 1957). Models of Man, Social and Rational. New York,
Wiley.
Steinitz, C. (1979). Defensible Processes for Regional Landscape
Design. Washington D. C., Sept. 1979., LATIS., ASLA.
Taaffe, E. J. and H. L. Gauthier (1973). Geography of Transportation.
Englewood Cliffs, New Jersey, Prentice Hall.
United Nations (1977). Threshold Analysis Handbook. New York: Department
of Economic and Social Affairs, UN.
von Neumann, J. and O. Morgenstern (1947). Theory of Games and Economic
Behavior. Princeton, Princeton University Press.
Warntz, W., (1966). The topology of a social-economic terrain and
spatial flows. In:(Thomas, M. D.s), Papers of The Regional Science
Association. University of Washington, Philadelphia, pp. 47-61
Warntz, W. and M. Woldenberg (1967). Geography and The Properties
of Surfaces, Concepts and Applications -- Spatial Order. Harvard
Papers in Theoretical Geography No. 1
Yu, K-J, (1996a). Security patterns and surface model in landscape
planning. Landscape and Urban Plann. 36(5)1~17.
Yu, K-J, (1996b). Ecologists, farmers, tourists -GIS support planning
of Red Stone Park, China. In. Craglia, M. and H. Couclelis (Eds.),
Geographic Information Research:Bridging the Atlantic. Tayor &Francis.
pp. 480-494.
Yu, K-J, (1995a). Security Patterns in Landscape Planning with a
Case Study in South China. Doctorial Thesis, Graduate School of
Design, Harvard University, MA. USA.
Yu, K-J, (1995b).Ecological security patterns in landscape and GIS
application. Geographic Information Sciences. 1(2):88-102.
Yu, K-J, (1995c). Ecological security patterns of landscapes: concept,
method and a case study. Proceedings of Geomatics'95. Hongkang.
pp396-405.
Figure captions
Figure 1 Resistance for the movement of pheasants
Figure 2 Security pattern for the protection of
pheasant at a less secure level
Figure 3 A cross section from a source A to a point
B at the end of the resistance surface (refer to Figure 1 for the
location)
Figure 4 The area-resistance level histogram suggests the exist
of step-wise thresholds
Figure 5 Security pattern for the protection of
pheasants at a moderately secure level
Figure 6 Security pattern for the protection of
pheasants at a highly
thesis, Harvard University.