Local modes and x,K relations for ethene and propadiene

The results recently obtained by Mills and Robiette on local-mode effects in H2O, NH3 and CH4 type molecules are extended to ethene (C2H4) and propadiene (C3H4) type molecules. General relations among the anharmonic xrs constants and the Darling-Dennison Krrss constants for the stretching vibrations are derived, called “x,K relations”, which allow local-mode effects to be generated by adding the appropriate anharmonic and Darling-Dennison constants to the familiar normal-mode model of molecular vibrations. The general utility of x,K relations is discussed, and the results are reviewed for the molecular types for which they have so far been derived.

Are conventions solutions to uncertainty? Contrasting visions of social coordination

In recent years, there has been an increase in research on conventions motivated by the game-theoretic contributions of the philosopher David Lewis. Prior to this surge in interest, discussions of convention in economics had been tied to the analysis of John Maynard Keynes's writings. These literatures are distinct and have very little overlap. Yet this confluence of interests raises interesting methodological questions. Does the use of a common term, convention, denote a set of shared concerns? Can we identify what differentiates the game theoretic models from the Keynesian ones? This paper maps out the three most developed accounts of convention within economics and discusses their relations with each other in an attempt to provide an answer.

Evidence of dispersion relations for the nonlinear response of the Lorenz 63 system

Along the lines of the nonlinear response theory developed by Ruelle, in a previous paper we have proved under rather general conditions that Kramers-Kronig dispersion relations and sum rules apply for a class of susceptibilities describing at any order of perturbation the response of Axiom A non equilibrium steady state systems to weak monochromatic forcings. We present here the first evidence of the validity of these integral relations for the linear and the second harmonic response for the perturbed Lorenz 63 system, by showing that numerical simulations agree up to high degree of accuracy with the theoretical predictions. Some new theoretical results, showing how to derive asymptotic behaviors and how to obtain recursively harmonic generation susceptibilities for general observables, are also presented. Our findings confirm the conceptual validity of the nonlinear response theory, suggest that the theory can be extended for more general non equilibrium steady state systems, and shed new light on the applicability of very general tools, based only upon the principle of causality, for diagnosing the behavior of perturbed chaotic systems and reconstructing their output signals, in situations where the fluctuation-dissipation relation is not of great help.

Variation in the global-scale impacts of climate change on crop productivity due to climate model uncertainty and adaptation

Crop production is inherently sensitive to fluctuations in weather and climate and is expected to be impacted by climate change. To understand how this impact may vary across the globe many studies have been conducted to determine the change in yield of several crops to expected changes in climate. Changes in climate are typically derived from a single to no more than a few General Circulation Models (GCMs). This study examines the uncertainty introduced to a crop impact assessment when 14 GCMs are used to determine future climate. The General Large Area Model for annual crops (GLAM) was applied over a global domain to simulate the productivity of soybean and spring wheat under baseline climate conditions and under climate conditions consistent with the 2050s under the A1B SRES emissions scenario as simulated by 14 GCMs. Baseline yield simulations were evaluated against global country-level yield statistics to determine the model's ability to capture observed variability in production. The impact of climate change varied between crops, regions, and by GCM. The spread in yield projections due to GCM varied between no change and a reduction of 50%. Without adaptation yield response was linearly related to the magnitude of local temperature change. Therefore, impacts were greatest for countries at northernmost latitudes where warming is predicted to be greatest. However, these countries also exhibited the greatest potential for adaptation to offset yield losses by shifting the crop growing season to a cooler part of the year and/or switching crop variety to take advantage of an extended growing season. The relative magnitude of impacts as simulated by each GCM was not consistent across countries and between crops. It is important, therefore, for crop impact assessments to fully account for GCM uncertainty in estimating future climates and to be explicit about assumptions regarding adaptation.

Harnessing the ancestors: mutuality, uncertainty and ritual practice in the Eastern Cape Province, South Africa

In the Eastern Cape Province of South Africa, chronic economic uncertainty has seen social relations stretched to breaking point. Informants speak of a 'war between men and women'. While grinding poverty, death in the shape of the 'axe' (HIV/AIDS) and suspicion stalk the land, and the project of building the umzi (homestead) falters, hope for the future and with it, trust between people, leaches away. One response to such uncertainty is a turn to ritual. Through a nearly relentless schedule of ritual activity which invokes the ancestors and the Christian deity in various forms, Xhosa people attempt to dam up trust, secure ongoing investment in the rural homestead and sustain ties of reciprocity both among rural people and between them and their urban kin. It is also through the staging of these rituals that women, acting together and in support of each other, are increasingly assertive – often in the face of a violent, rearguard opposition from men - in their efforts to exercise agency over the differentiated, fragmented and fragile social and economic relationships within their homesteads and across their villages.