Title: Why is geography important
1Why is geography important?
2The fundamental issue
- "The problem of pattern and scale is the central
problem in ecology, unifying population biology
and ecosystems science, and marrying basic and
applied ecology. Applied challenges ... require
the interfacing of phenomena that occur on very
different scales of space, time, and ecological
organization. Furthermore, there is no single
natural scale at which ecological phenomena
should be studied systems generally show
characteristic variability on a range of spatial,
temporal, and organizational scales." (Levin
1992 italics added) - This quote equally applies to health studies,
crime analysis, etc., and emphasizes the fact
that geography is a fundamental element of any
and all analyses.
3A working solution
- None-the-less, many have argued that ecological
phenomena tend to have characteristic spatial and
temporal scales, or spatiotemporal domains (e.g.,
Delcourt et al. 1983, Urban et al. 1987). A
central tenet of landscape ecology is that
particular phenomena should be addressed at their
characteristic scales. Likewise, if one changes
the scale of reference, the phenomena of interest
change.
4Multiscale analyses are therefore required if one
truly wants to develop a full understanding of a
place in space. This is the study design of the
BOREAS study.
5To address the issue of multiple scales that
characterize the African Monsoon a multiscale
approach is being taken.
Source
6Why is geography important?
- Issues such as
- the scale, grain and extent of a study area,
- the modifiable areal unit problem,
- the nature of the boundaries of a study area, and
- spatial dependence / heterogeneity
- are implicit in any spatial analysis
7Why geography is important.
- Given the above, landscape ecologists,
epidemiologists, health geographers, and crime
analysts all must carefully consider the
'geography' of their problem, and what effects
that geography alone may have on their analyses
(e.g., do more crimes occur in area A than area B
simply because more people live in area A, or are
there more crimes because there are higher levels
of drug use in the area?). - Simple putare the results dependent upon the
spatial nature of the data, or do they reflect
the results of a process? (Most likely, a
combination of both.)
8Scale terminology
- Grain
- The minimum resolution of the data (defined by
scale, the "length of the ruler"). In raster
lattice data, the cell size in field sample
data, the quadrat size in imagery, the pixel
size in vector GIS data, the minimum mapping
unit. - Extent
- The scope or domain of the data (defined as the
size of the study area, typically)
9Scale
- "Scale" is not the same as "level of
organization." Scale refers to the spatial domain
of the study, while level of organization depends
on the criteria used to define the system. - For example, population-level studies are
concerned with interactions among conspecific
individuals, while ecosystem-level studies are
concerned with interactions among biotic and
abiotic components of some process such as
nutrient cycling. - One could conduct either a small- or large-scale
study of either population- or ecosystem-level
phenomena.
Conspecific Of or belonging to the same species
10Scale
- As one increases scale in a study of a system
- Fine-scale processes or constraints average away
and become constants. For example, at the scale
of a quadrat (say, 10 x 10 m) in a forest, it is
reasonable to ignore larger-scale variability in
soil parent material the trees within the
quadrat all see the same soil type. Likewise, at
the time-scale of years to decades, long-term
climate trends are not apparent (although
fluctuations in weather might be). - Reciprocally, as we increase the extent of our
analysis parameters that were constant now become
variable and must be accounted. If we were to
extend the forest sampling to cover a large
watershed or basin, soil types would indeed vary
and we would need to address this variability.
Likewise, microclimate as it varies with
elevation and topographic position would become a
real source of variability affecting forest
pattern at this larger scale.
11Scale
- Finally, new interactions may arise as one
increases the extent of inquiry. At the scale of
a landscape mosaic, interactions among forest
stands, such as via dispersal of plant or animal
species, emerge as new phenomena for study.
(Emergent processes) - The magnitude or sign of correlations may change
with spatial extent. At the scale of a single
habitat patch, abundances of different species
might be negatively correlated due to
interspecific interactions but if one considers
a set of these habitat patches in a heterogeneous
landscape, any species inhabiting similar habitat
types will be positively correlated. - Thus explanatory models are scale-dependent.
12Spatial autocorrelation scale
-ve correlation within each stand, ve
correlation between stands
13Spatial autocorrelation
- Cliff and Ord (1973) define spatial
autocorrelation as If the presence of some
quantity in a sampling unit (county) makes its
presence in neighbouring sampling units
(counties) more or less likely, we say that the
phenomenon exhibits spatial autocorrelation. - It may be classified as either positive or
negative. In a positive case similar values
appear together, while a negative spatial
autocorrelation has dissimilar values appearing
in close association.
14Spatial autocorrelation
- The distribution of organisms over the earths
surface means that most ecological problems have
a spatial dimension. Biological variables are
spatially autocorrelated for two reasons - inherent forces such as limited dispersal, gene
flow or clonal growth tend to make neighbours
resemble each other - organisms may be restricted by, or may actively
respond to environmental factors such as
temperature or habitat type, which themselves are
spatially autocorrelated (Sokal Thomson 1987).
15Spatial autocorrelation
Moran's I is a weighted product-moment
correlation coefficient, where the weights
reflect geographic proximity. Values of I larger
than 0 indicate positive spatial autocorrelation
values smaller than 0 indicate negative spatial
autocorrelation.
16MAUP
- The modifiable areal unit problem is endemic to
all spatially aggregated data. It consists of two
interrelated parts. - First, there is uncertainty about what
constitutes the objects of spatial
study--identified as the scale and aggregation
problem. - Second, there are the implications this holds for
the methods of analysis commonly applied to zonal
data and for the continued use of a normal
science paradigm which can neither cope nor admit
to its existence.
17MAUP
18Scale
- The scale effect is the tendency, within a system
of modifiable areal units, for different
statistical results to be obtained from the same
set of data when the information is grouped at
different levels of spatial resolution (e.g.,
enumeration areas, census tracts, cities,
regions). - This definition infers that as one changes the
scale of the study there is a corresponding
change in grain.
19Aggregation
- The aggregation or zoning effect is the
variability in statistical results obtained
within a set of modifiable units as a function of
the various ways these units can be grouped at a
given scale, and not as a result of the variation
in the size of those areas. - A figure illustrating the issues
20Aggregation
- The problem with aggregated data comes not (only)
with the data themselves or any conclusions drawn
from them, but from attempts to extend the
conclusions to another level of spatial
resolution (usually finer, like to individual
households or people). Attempting to do this is
called ecological fallacy. - All the statistics and model parameters differ
between the two levels of resolution, and we have
no way to predict what they are at the finer
level given the values at the coarser level.
21MAUP
- The second component of MAUP follows from the
uncertainty in choosing zonal units. Different
areal arrangements of the same data produce
different results, so we cannot claim that the
results of spatial studies are independent of the
units being used, and the task of obtaining valid
generalizations or of comparable results becomes
extraordinarily difficult. - MAUP therefore consists of two problems--one
statistical and the other geographical /
philosphophical, and it is difficult to isolate
the effects of one from the other.
22Given that many policy decisions are made on the
basis of statistical associations obtained from
the analysis of spatial data (e.g., funding for
multicultural activities to neighbourhoods on
the basis of the percentage ethnic population
living there), much more attention needs to be
paid to the problem.
23Using the MAU effect we can create zonings with
particular statistical aims in mind.
Another example
24MAUP in action
Redrawing the balanced electoral districts in
this example creates a guaranteed 3-to-1
advantage in representation for the blue voters.
Here, 14 red voters are packed into the yellow
district and the remaining 18 are cracked across
the 3 blue districts. This is known as
gerrymandering.
25Gerrymandering
- The MAUP is a very real issue for politicians.
- One of the requirements of Civil Rights era
legislation is that states that had a history of
racial discrimination (generally, the states that
constituted the Confederacy, including Texas)
must obtain "pre-clearance" of all redistricting
plans from the U.S. Department of Justice. This
is because of the tendency of those states to
engage in so-called "racial gerrymandering"
configuring districts in order to minimize
minority representation. This can be done either
by concentrating minorities in as few districts
as possible (minority vote concentration), or
distributing them across many districts (minority
vote dilution). Source.
26Carved out with the aid of a computer, this
congressional district was the product of
California's incumbent gerrymandering.
27Spatial units
- We should identify that two distinct types of
spatial units are commonly used in geographic
analysis--artificial and natural units. Census
data collected for individuals, but aggregated
and represented as artificial areas, present a
major problem in interpretation to social
geographers, and cannot be treated in the same
way as 'natural' areal data, such as soil type,
that is collected and represented as areal data. - However, even natural units are not without
their problems (e.g., fuzzy / fractal boundaries)
28Spatial units
29Simpsons paradox
- However, there are other elements which may
impact any study using aggregated data. - Simpson's Paradox is commonly encountered.
- If the values of the variables vary in
correlation with another (e.g., areas with high
unemployment rates are often associated with
areas that also exhibit high rates of other
social-economic characteristics), then it may be
impossible to obtain a reliable estimate of the
true correlation between two variables.
Example
30Simpsons paradox
- The paradox in the example arises because we
assume that race is the independent variable
while unemployment is the dependent variable. In
fact, location is the independent variable (and
unavailable for examination when we only examine
the totals) and unemployment and race are the
dependent variables. - An example of a common-response relation. (?)
31Why does the MAUP exist?
- Geographical areas are made up not of random
groupings of individuals / households, but of
individuals / households that tend to be more
alike within the area than to those outside of
the area. Three main classes of models have been
identified - Grouping
- Group-dependent
- Feedback
32Neighbourhood models
- Grouping models, in which similar individuals /
households choose, or are constrained, to locate
in the same area / group, either when those
groups are formed or through migrations. - That is to say, some process has operated and /
or continues to operate such that individuals /
households are not randomly assigned to areas.
(Chinatown, Sikh neighbourhoods in Surrey) - A tendency for plants with similar ecological
requirements to be located in 'communities'.
33Neighbourhood models
- Group-dependent models, in which individuals /
households in the same area / group are subject
to similar external influences. - For example, there may be some 'contextual'
variable affecting all individuals in the area.
Alternatively, some common influence may have
operated in the past, the effects of which are
still felt. Simply said-the effects of other
characteristics of the area, which may or may not
be available for analysis (e.g., the restrictive
covenants that used to be in place in the British
properties in West Vancouver). - The rain shadow effects felt in the Okanagan
Valley, and the dryland communities that result.
34Neighbourhood models
- Feedback models, in which individuals /
households interact with each other and influence
each other, and the frequency / strength of such
interaction is likely to be greater between
individuals in the same area / group than between
individuals in different areas. Simply said-a
tendency for people living nearby to interact and
as a result to develop common characteristics. - A bog community, wherein the acid conditions are
maintained by the decomposition of the plants
found therein.
35Neighbourhood models
36Neighbourhood models
- These models could all be operating, and be
operating at different scales (block,
neighbourhood, city, province). - Therefore, attempting to achieve a perfect
understanding of the reasons why MAUP occurs may
be impossible. These models describe different
ways in which spatial (auto)correlation may be
acting on the variables of interest.
37Conclusion
- So, as you can see, developing an understanding
of the role that geography alone can play in an
analysis is vital--before one can search for
meaningful biological, environmental or
sociological explanations for an observation, one
should first eliminate the geographic
explanation. - Ultimately, neighbourhoods are composed of unique
combinations of biological (behavioral, social,
political, economic) and physical environments
(all of which might change over time), and no
combination of statistical manipulations may be
able to unpack such a complex set of 'actors.'