A little while ago I created some basic measures of spatial equity for my main study site in Southwark, London. Spatial equity in this case relates to a measure of the ‘fairness’ of spatial distribution of services. The NHS as a public institution has a requirement in its universal terms of service to provide a fair service to all.
The following maps aim to show how different areas in Southwark, in this case output areas (OAs), have different characterisitics in terms of: the level of primary care provision available, and the distance to centres of primary healthcare. Following Truelove (1993), Talen and Anselin (1998) and Ricketts et al (1994) the first 3 maps use a buffer-approach to spatial equity, whilst the final shows a gravity model approach.
This first map (figure 1) demonstrates that large parts of Southwark do not have access to healthcare services within 500 metres (euclidian distance), whereas the best served areas have access to more than one GP surgery and as many as 24 individual doctors.
Figure two demonstrates that with a 750m buffer most areas are served, although there are still unserved areas, particularly in the south of the borough. The most well-served areas not have access to as many as 48 doctors.
A 1km buffer still shows areas of Southwark which are unserved, particularly in the south. My recent working paper features a map which confirms that residents of these areas are less likely to use Southwark services than those in the more core areas in the centre of the borough.
This final map uses a distance decay function rather than a buffer to represent spatial equity and is specified thusly (Talen and Anselin, 1998 p.600):
where Sj is the size of a facility (measured by number of doctors, operating capacity etc.) at location j and d is a distance decay factor between area i and facility j with a friction parameter alpha, here set to 2.
The result is not hugely different to the buffered approaches, giving a similar account of affairs. It is notable that in all cases the spatial equity correlates with provision of social housing. In the UK context Southwark is a special case, being amongst the most deprived Local authorities by IMD07 rank, in which fair access to services is skewed towards the needs of the more deprived, whether or not uptake, or ability to uptake actually reflects this is another question.
References
Ricketts, T.C. et al., 1994. Geographic Methods for Health Services Research: A Focus on the Rural-Urban Continuum, London: University Press of America.
Talen, E. & Anselin, L., 1998. Assessing spatial equity: an evaluation of measures of accessibility to public playgrounds. Environment and Planning A, 30, 595-613.
Truelove, M., 1993. Measurement of spatial equity. Environment and Planning C: Government and Policy, 11, 19-34.
Acknowledgement
All maps are subject to the following:
Crown Copyright 2009 Ordnance Survey. An UKborders/JISC supplied service.




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