Minkowski Tensors of Anisotropic Spatial Structure

This article describes the theoretical foundation of and explicit algorithms for a novel approach to morphology and anisotropy analysis of complex spatial structure using tensor-valued Minkowski functionals, the so-called Minkowski tensors. Minkowski tensors are generalisations of the well-known scalar Minkowski functionals and are explicitly sensitive to anisotropic aspects of morphology, relevant for example for elastic moduli or permeability of microstructured materials. Here we derive explicit linear-time algorithms to compute these tensorial measures for three-dimensional shapes. These apply to representations of any object that can be represented by a triangulation of its bounding surface; their application is illustrated for the polyhedral Voronoi cellular complexes of jammed sphere configurations, and for triangulations of a biopolymer fibre network obtained by confocal microscopy. The article further bridges the substantial notational and conceptual gap between the different but equivalent approaches to scalar or tensorial Minkowski functionals in mathematics and in physics, hence making the mathematical measure theoretic method more readily accessible for future application in the physical sciences

Assessing the ecological soundness of organic and conventional agriculture by means of life cycle assessment (LCA) - a case study of leek production

Purpose – Sustainable agriculture implies the ability of agro-ecosystems to remain productive in the long-term. It is not easy to point out unambiguously whether or not current production systems meet this sustainability demand. A priori thinking would suggest that organic crops are environmentally favourable, but may ignore the effect of reduced productivity, which shifts the potential impact to other parts of the food provision system. The purpose of this paper is to assess the ecological sustainability of conventional and organic leek production by means of life cycle assessment (LCA). Design/methodology/approach – A cradle-to-farm gate LCA is applied, based on real farm data from two research centres. For a consistent comparison, two functional units (FU) were defined: 1ha and 1?kg of leek production. Findings – Assessed on an area basis, organic farming shows a more favourable environmental profile. These overall benefits are strongly reduced when the lower yields are taken into account. Related to organic farming it is therefore important that solutions are found to substantially increase the yields without increasing the environmental burden. Related to conventional farming, important potential for environmental improvements are in optimising the farm nutrient flows, reducing pesticide use and increasing its self-supporting capacity. Research limitations/implications – The research is a cradle-to-farm gate LCA, future research can be expanded to comprise all phases from cradle-to-grave to get an idea of the total sustainability of our present food consumption patterns. The research is also limited to the case of leek production. Future research can apply the methodology to other crops. Originality/value – To date, there is still lack of clear evidence of the added value of organic farming compared to conventional farming on environmental basis. Few studies have compared organic and conventional food production by means of LCA. This paper addresses these issues

Bounding the Number of Hyperedges in Friendship rr-Hypergraphs

For $r \ge 2$, an $r$-uniform hypergraph is called a friendship $r$-hypergraph if every set $R$ of $r$ vertices has a unique 'friend' - that is, there exists a unique vertex $x \notin R$ with the property that for each subset $A \subseteq R$ of size $r-1$, the set $A \cup \{x\}$ is a hyperedge. We show that for $r \geq 3$, the number of hyperedges in a friendship $r$-hypergraph is at least $\frac{r+1}{r} \binom{n-1}{r-1}$, and we characterise those hypergraphs which achieve this bound. This generalises a result given by Li and van Rees in the case when $r = 3$. We also obtain a new upper bound on the number of hyperedges in a friendship $r$-hypergraph, which improves on a known bound given by Li, van Rees, Seo and Singhi when $r=3$.Comment: 14 page

Biodynamic Agriculture: The Journey from Koberwitz to the World, 1924-1938

In the last year of his life, the Austrian philosopher Rudolf Steiner challenged the direction and practice of contemporary agriculture. This was an early response to the proliferation of chemical agriculture. Steiner laid the foundation for an alternative agriculture, one that would ‘heal the earth’, in the agriculture course, a series of eight lectures at Koberwitz (now Kobierzyce, Poland) in 1924. Steiner set in train a process that led to the development, articulation, and naming of biodynamic agriculture, culminating in the publication of 'Bio-Dynamic Farming and Gardening' by Ehrenfried Pfeiffer in 1938. Pfeiffer's book appeared in Dutch, English, French, German, and Italian, and fulfilled Steiner's injunction to bring his agricultural lecture course to "a form suitable for publication"

Innovation and Social Entrepreneurship in Tourism – A Potential for Local Business Development

Over the past few years, the tourist industry has come to be recognised as a way of providing strategic support for sustainable local business development. In this article we attempt to define an appropriate innovation concept in relation to tourism on the basis of an attractor principle. We then discuss the concept of entrepreneurship in connection with tourism, looking at its significance in its relationship with local business development, thereby positing the premise of social entrepreneurship. This frame of reference is used in five cases in the analysis. The analysis shows that it is possible to innovate and draw up plans for new attractors but that it is considerably more difficult to convert these plans into reality through social entrepreneurship. The conclusion is that we need to focus upon organisation of semi-public tourist organisations, if we want tourism to promote local business development.