RECURSIVE ALGORITHMS FOR THE ELIMINATION OF REDUNDANT PATHS IN SPATIAL LAG OPERATORS*

ABSTRACT. Recursive algorithms for the elimination of redundant paths in spatial lag operators are introduced. It is shown that these algorithms have superior computational properties in comparison with the cumbersome procedure proposed by Ross and Harary (1952). A rigorous definition of spatial lag operators is given, while a number of mathematical results and properties are derived. Theoretical and empirical results regarding the performance of the proposed algorithms are presented.     

Death on the Seine: The mystery of the pagan king Setric

In 943, a pagan king called Setric arrived with a fleet on the Seine, seeking to ‘take over the whole area without a grant from the king’ and to bring the young Richard and his Rouen Northmen back ‘to the worship of idols, and to bring back pagan rites’. But this was not to be because the young Carolingian king Louis IV d’Outremer was quickly on the scene and engaged Setric and his dux Turmod in battle. Louis’s mounted forces were victorious and both Setric and Turmod were killed. As the great French historian Philippe Lauer said: ‘La défaite du viking Setric et du renégat Turmod est un événement important dans l’histoire de l’établissement des Normands en Neustrie’. The mystery examined in this article is, who was this pagan king Setric (ON Sigtryggr) who had been sent to Valhalla? And where had he come from —York or Denmark? It is shown that whilst a Danish origin for King Setric cannot be completely excluded, the equation of a King Sihtric of York with King Setric on the Seine is more likely and is supported by a plethora of onomastic, chronological, numismatic and contextual evidence.     

Franz Boas and Friends? Not Really

Blackhawk, Ned, and Isaiah L. Wilner. 2018. Indigenous Visions: Rediscovering the World of Franz Boas. New Haven: Yale University Press.

The editors of this volume proclaim their intention to demonstrate the revolutionary influence of Indigenous thinkers on the ideas of Franz Boas, but the work falls far short of their aim. Despite the inclusion of a number of interesting contributions dealing with remarkable individuals, with one exception none of the fourteen papers attempts to make such a case.     

Shopping,social inclusion and the urban geographies of people with intellectual disability

In this paper, we examine the social geographies of people with intellectual disabilities. We focus particular attention on the significance of shopping and spaces of consumption as they relate to questions social inclusion and belonging in the lives of PWID. The focus on consumption offers a useful counterpoint to a prevailing policy emphasis on social inclusion through productive activities. The paper also contributes to the literature on intellectual disability within social and health geography, shedding light on the varied socio-spatial experiences of people beyond the confines of community-care facilities and other separate spaces. Our analysis draws on data collected from a participatory research project in Toronto (Canada). The project involved a small but diverse group of people with intellectual disabilities, who led academic researchers on a series of excursions designed to explore those places and routes that make up their everyday social geographies. Shopping emerged as a significant but often ambivalent theme in the context of these geographies, and the analysis demonstrates the complex interplay of autonomy and control, pleasure and restraint, care and support that shape people’s experiences of consumption. We conclude by discussing the significance of these findings for notions of social inclusion and belonging.     

Humans in the Environment: Plants,Animals and Landscapes in Mesolithic Britain and Ireland

Environmental archaeology has historically been central to Mesolithic studies in Britain and Ireland. Whilst processual archaeology was concerned with the economic significance of the environment, post-processual archaeology later rejected economically driven narratives, resulting in a turn away from plant and animal remains. Post-processual narratives focused instead on enigmatic ‘ritual’ items that economic accounts struggled to suitably explain. Processual accounts of landscapes, grounded in economic determinism, were also rejected in favour of explorations of their sociocultural aspects. However, in moving away from plant and animal remains, such accounts lacked the ability to rigorously explore the specificities of particular landscapes and humans actions within them. This paper will bridge this gap by considering how palaeoecological and zooarchaeological analyses can be used to explore human interactions with plants and animals, which were key in developing understandings and relationships that ultimately structured landscapes, influenced past human actions and shaped archaeological assemblages.     

Book reviews

The Devil in the New World: The Impact of Diabolism in New Spain. By FERNANDO CERVANTES. New Haven: Yale University Press, 1994. Pp. x, 182.

An Evil Lost to View? An Investigation of Post‐Evangelisation Andean Religion in Mid‐Colonial Peru. By KENNETH MILLS. Liverpool: Institute of Latin American Studies, University of Liverpool, Monograph Series No. 18, 1994. Pp. 147.

The Limits of Racial Domination: Plebeian Society in Colonial Mexico City, 1660–1720. By R. DOUGLAS COPE. Madison: University of Wisconsin Press, 1994. Pp. xiii, 220.

Memory, Myth, and Time in Mexico: From the Aztecs to Independence. By ENRIQUE FLORESCANO. Trans, by Albert G. Bork and Kathryn R. Bork. Austin: University of Texas Press, 1994. Pp. ix, 282.

Fuentes manuscritas para la historia de Iberoamérica. Guía de instrumentos de investigación. Por SYLVIA L. HILTON e IGNACIO GONZALEZ CASASNOVAS. Madrid: Fundación Mapfre América‐Instituto Histórico Tavera, 1995. Pp. 617.

The Town of San Felipe and Colonial Cacao Economies. By EUGENIO PINERO. Philadelphia: Transactions of the American Philosophical Society, vol. 84, 1994. Pp. 189.

Imperial Panama: Commerce and Conflict in Isthmian America 1550–1800. By CHRISTOPHER WARD. Albuquerque: University of New Mexico Press, 1993. Pp. xii, 272.     

Envisioning Future Landscapes in the Environmentally Sensitive Areas of Scotland

Environmentally Sensitive Areas (ESAs) designated under EC Structure Regulation 797/85 now cover 1.4 million ha of the Scottish countryside and are likely to make a substantial contribution to the regulation of landscape change. Visual changes to landscapes with (policy on) and without (policy off) the ESA programme in two Scottish ESA areas, Breadalbane and the Machair, are predicted through impact-assessment procedures and computer manipulation of photographic images. The methodological requirements for such predictions are outlined and substantial differences in landscape characteristics under policy on/off scenarios are revealed. Such approaches to landscape change are an essential foundation for the development of environmental cost-benefit analyses and will contribute to public consultation processes.     

The Demand for and Supply of Technical Information and Analysis in State Legislatures

With states making more substantive decisions in technically complex policy areas, the capacity of state legislatures to gather and use technical information and analysis is crucial. Applying a "market" metaphor, the article examines the demand for and the supply of technical information and analysis in state legislatures. The demand among legislators and staff is widespread and increasing, and the supply is varied in origin, importance, and quality. Reliance on sources external to the legislature—usually perceived as biased—is related to a lack of professionalization in legislatures, although the level of satisfaction in the available technical information and analysis is not. Identifiable barriers on both the demand side and the supply side prevent better use of technical information and analysis. There are ways to strengthen the relationship between state legislatures and a broad array of sources, as well as to educate the legislative consumer of technical information and analysis.