The Multi‐level Location Set Covering Model

The classical Location Set Covering Problem involves finding the smallest number of facilities and their locations so that each demand is covered by at least one facility. It was first introduced by Toregas in 1970. This problem can represent several different application settings including the location of emergency services and the selection of conservation sites. The Location Set Covering Problem can be formulated as a 0–1 integer‐programming model. Roth (1969) and Toregas and ReVelle (1973) developed reduction approaches that can systematically eliminate redundant columns and rows as well as identify essential sites. Such approaches can often reduce a problem to a size that is considerably smaller and easily solved by linear programming using branch and bound. Extensions to the Location Set Covering Model have been proposed so that additional levels of coverage are either encouraged or required. This paper focuses on one of the extended model forms called the Multi‐level Location Set Covering Model. The reduction rules of Roth and of Toregas and ReVelle violate properties found in the multi‐level model. This paper proposes a new set of reduction rules that can be used for the multi‐level model as well as the classic single‐level model. A demonstration of these new reduction rules is presented which indicates that such problems may be subject to significant reductions in both the numbers of demands as well as sites.     

National identity and economic development: reiteration,recapture, reinterpretation and repudiation*

Abstract. This article attempts to move beyond assumptions that nationalism is essentially cultural and/or narrowly political, and that it is primarily past‐oriented and defensive. We do this by examining evidence relating to the creative (re)construction of the nation from a contemporary economic perspective. Paying particular attention to Scotland and Wales, we show that the mobilisation of national identity within this process of (re)construction is not exclusive to those who seek greater political autonomy. National identity is also mobilised, often in a ‘banal’ fashion, by non‐political national institutions such as economic development agencies. We argue that, within the strategies and discourses of economic development, historic national characteristics are reconciled with contemporary needs and aspirations through four processes: reiteration, recapture, reinterpretation and repudiation.     

A Geometric Morphometric Study of Regional Craniofacial Variation in Mexico

Spanish speaking populations in the USA have long been categorised under the umbrella term ‘Hispanic’, which is a cultural construct. The term Hispanic ignores the unique ethnohistories and biological variation among Hispanic groups with various European, African and indigenous American influences. Considerable heterogeneity has been identified in pre‐contact America and has continued to influence the cultural and biological compositions of various regions today. The purpose of this research is to examine biological variation in Mexico, which was influenced by indigenous migration patterns and the Old World conquests of the Americans. Using multivariate statistics, this paper compares 16 three‐dimensional craniometric landmarks of samples from northern Central Mexico, northern Yucatan and western Mexico to examine the regional biological variation present in Mexico in both prehistoric and historic groups and also compares Mexican, Spanish and African American groups to examine patterns of Old World conquests. Multivariate statistics detected significant group differences for both size and shape (centroid size, p < 0.0001; shape, p < 0.0001) and showed that while significantly different, all the Mexican groups are more similar to one another except for one prehistoric inland‐western Mexican group, which is morphologically distinct from the other Mexican groups. Previous mtDNA research in these areas shows a low prevalence of African American admixture and a high indigenous component in the northern Mexican groups, which is consistent with the findings of this paper. The prehistoric and historic Mexican groups were the most similar indicating the retention of indigenous admixture after contact. The results from this analysis demonstrate that all groups are significantly different from one another supporting other findings that have shown that the indigenous populations of the New World are heterogeneous and that this variation may also contribute to the heterogeneity of contemporary populations. Copyright © 2013 John Wiley & Sons, Ltd.     

Anchors in a Three-Decker World

This paper focuses on anchors as links between two worlds. It examines medieval legends first, starting with mirabilia which link ships in the sky to the earth, then goes on to study those legends which link the surface of the sea to a submarine world. In tracing the evolution and interrelationships of these sets, the pivotal legend is shown to be one in which a man is lured to a submarine monastery. The remainder of the paper focuses on modern accounts of similar legends. Those involving ships in the sky and cloudland themes are instanced first. After a brief look at legends of anchors blocking submarine fairy paths, the final section takes up the lining theme in the modern context. The emphasis here is on a legend localised in Kerry in which a woman from the sea uses an anchor to trap her man.