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quadrat analysis Amethodofpoint pat-
tern analysiswidely used inecology, particu-
larly in the analysis of plant distributions and
adopted for geographical use. A rectangular
mesh is laid across an area and the distribution
of points in each rectangle counted. That distri-
bution can be modelled using a variety of
procedures to assess whether it: conforms to
what would occur under a random allocation
process; is significantly clustered in some
portion of the space; or is more regular than
random.central place theory,forexample,
predicts that the distribution of settlements in a
rural area would fall into the third of those
categories, whereas theories ofagglomeration
suggest that industrial plants should be signifi-
cantly clustered. (cf.categorical data analy-
sis;poisson regression). Quadrat analysis can
generatelocal statistics, but artificial bound-
aries imposed around the study region at the
limits of each quadrat affect their utility: a more
sophisticated approach, taking a more continu-
ousdefinitionofspace,isgeographically
weighted regression. rj
Suggested reading
Getis and Boots (1978); O’Sullivan and Unwin
(2002).
quadtree A procedure for compressing the
file size of geographical data sets that works by
splitting a study region into four quadrants –
as with the division of a rectangular area into
four smaller rectangles – and then recursively
splitting the quadrats until each is homoge-
neous on defined variables of interest that
it contains. Quadtrees are also used ingeo-
graphic information systems to index
phenomena within an area – such as points,
lines and areas – according to their spatial
location. The approach assumesspatial auto-
correlationin data sets and allows them –
especially those in arasterformat – to be
efficiently sorted, explored and disseminated
(e.g. over the Internet). rj
Suggested reading
Wise (2002).
qualitative methods Guidelines to frame
research questions, assess what counts as
authoritative evidence and knowledge, and
collect interpretable data, and distinguished
fromquantitative methods. The discipline
ofgeographyhas a long tradition of qualita-
tive methods, and it has been argued that the
prioritizing of quantitative methods, associ-
ated with thequantitative revolutionof
the 1950s and 1960s, was an aberration within
the discipline’s history (Winchester, 2000).
Explicit calls for qualitative methods came in
the late 1970s fromhumanistic geograph-
ers, in reaction to what was perceived as the
economic determinism, one-dimensionality
and objectification of social life withinspatial
science(Ley and Samuels, 1978). There were
(at least) two methodological strands tohu-
manistic geography: an historical andher-
meneutic understanding of the production
and meaning of landscape, and another
withinsocial geography that drew upon
phenomenologyandsymbolic interaction-
ism, and sought to understand social worlds
from insiders’ perspectives, often throughpar-
ticipant observation or ethnography
(Limb and Dwyer, 2001). Through the
1980s,feminist geographiestook up and
expanded humanist geographers’ concerns to
acknowledge and examine thevalues, politics
andethicsunderlying all social research, and
the need to understand and document the
plurality of coexisting and divergent social
worlds in all of their affective intensity and
complexity. Feminists have been particularly
concerned to think through implications of the
positionality of the researcher and re-
searched, the workings ofpowerwithin the
research process and the responsibility of
using research to create social change. The
influence of post-colonialism and post-
structuralismhas furthered these preoccu-
pations. Qualitative methods are now
common and seen as appropriate in all sub-
disciplines of geography, includingeconomic
geography, migration studies, political
geographyandhealth geography.
By the 1990s ‘a frightening array of philo-
sophical, conceptual and theoretical terms
[were] embedded in the qualitative research
literature’, and neat links betweenphilosophy,
theory and method were being ‘unpicked’
(Smith, S.J., 2001, pp. 23–4). Nonetheless,
Gregory / The Dictionary of Human Geography 9781405132879_4_Q Final Proof page 603 31.3.2009 7:14pm Compositor Name: ARaju