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Segregation is a spatial outcome of spatial processes that needs to be measured spatially and at a scale meaningful to the study. This is the axiom from which local indices of segregation are developed and applied to the patterns of admission observed for cohorts of pupils entering London's state-funded secondary (high) schools in each of the years from 2003 to 2008. The indices - local indices of difference, isolation and of concentration – are used to measure social segregation not between arbitrary areas or regions but specifically for schools that overlap in regard to their admission spaces. This is made possible by the use of detailed and geographically referenced governmental micro-data that allow the pupil flows from elementary to high schools to be modeled and therefore "competing" schools to be identified. Using eligibility for free school meals as a measure of social segregation, sizable differences in the proportions of FSM eligible pupils recruited by apparently competing schools are found, with selective schools especially and also faith schools under-recruiting such pupils. Whilst there is some evidence that social segregation has decreased over the period, the trend is considered to be an artifact of using free school meals as a measure of disadvantage. As such the problem shifts from at what scale to measure between-school segregation to what actually is an appropriate measure to use.