A majorization comparison of apportionment methods in proportional representation

From the inception of the proportional representation movement it has been an issue whether larger parties are favored at the expense of smaller parties in one apportionment of seats as compared to another apportionment. A number of methods have been proposed and are used in countries with a proportional representation system. These apportionment methods exhibit a regularity of order, as discussed in the present paper, that captures the preferential treatment of larger versus smaller parties. This order, namely majorization, permits the comparison of seat allocations in two apportionments. For divisor methods, we show that one method is majorized by another method if and only if their signpost ratios are increasing. This criterion is satisfied for the divisor methods with power-mean rounding, and for the divisor methods with stationary rounding. Majorization places the five traditional apportionment methods in the order as they are known to favor larger parties over smaller parties: Adams, Dean, Hill, Webster, and Jefferson. Received: 5 August 2000/Accepted: 24 October 2001     

The arithmetic of growth: Methods of calculation

This is a tutorial on the relations between population data and the rates of growth that are calculated from the data. For the calculation of rates of growth, discrete and continuous compounding will be compared so that the reader can see the reasons for using the mathematics of continuous compounding, which is the mathematics of exponential growth. Some properties of exponential growth are developed. Semi-logarithmic graphs will be discussed as a device for representing the size of growing populations and for analyzing the nature of the growth. Illustrative examples will be worked out in order to emphasize applications and utility.     

Children with Hydrocephalus and Spina Bifida in East Africa: Can family and community resources improve the odds?

Hydrocephalus and spina bifida are life-threatening conditions that often result in severe disabilities. Risks are much reduced by immediate surgery and careful management, but neither has been available for most of the sub-Saharan African population. This paper traces the growth of solutions and some socio-cultural resources that historically have supported family and community care for children with severe disabilities, mainly in Tanzania, and nearby Uganda, Kenya, Malawi, Zambia and Zimbabwe. Some community-based rehabilitation (CBR) work with children with spina bifida and hydrocephalus is described, and challenges to the CBR approach are noted from the increased survival of people with disabilities requiring complex care. More appropriate information, recognition of indigenous knowledge, enlistment of community resources and financial assistance are needed to enhance the lives of East Africans with hydrocephalus, spina bifida and other severely disabling conditions.     

A Quantitative Assessment of the Risks from Illegally Imported Meat Contaminated with Foot and Mouth Disease Virus to Great Britain

Foot and mouth disease (FMD) is considered by many as the most important animal disease in the world. FMD is highly contagious and outbreaks incur significant costs as affected countries are severely limited in their ability to trade. A number of trade commodities may be contaminated with FMD virus (FMDV) including animal products, for example, meat. As a member of the European Union, Great Britain (GB) has put in place a number of regulations to prevent the importation of pathogens in imported meat products. However, the illegal importation of meat provides a route by which safety controls may be circumvented and meat from FMD affected areas may be imported. This study assesses the FMD infection risk posed to the livestock population of GB from the illegal importation of meat, and estimates the major contributors to this overall risk, through the development of a quantitative risk assessment model. From model results, the total amount of illegal meat entering GB each year is estimated on average to be 11,875 tonnes. with 90% certainty that this is between 4,398 and 28,626 tonnes per year; of which between 64.5 and 565 kg are contaminated with FMDV. This flow of illegal meat results in an estimate of a frequency of FMD infection in GB livestock of 0.015 cases of infected animals per year, with 90% certainty it is between 0.0017 and 0.053. Imports from the region Near and Middle East account for 47% of this risk, and 68% of the risk is attributed to bone-in and dried de-boned products.     

A magical model to predict individual differences in mood change

We tested a mathematical model of psychological well-being (PWB) with data from a paradigm that included a negative mood induction followed by a positive induction. The propositions from the model encompass the hypothesis that the relative mood prior to either induction has implications for the magnitude of subsequent induction effects, such that relative mood is defined by current mood as a ratio of the prevailing mood that is predicted by the model. The findings confirm the hypothesis that the relative mood at baseline predicts mood change in a nonoverlapping time period, even after control for potentially mediating variables.     

Engaging with the Disability Rights Movement: the experience of community-based rehabilitation in southern Africa

This paper argues that unless community-based rehabilitation CBR programmes enter into genuine consultation with the disability rights movement they are in danger of repeating the mistakes of institution-based rehabilitation. Partnership between CBR programmes, and disabled people's and parents' organisations in southern Africa has led to the development of a more consumer focused approach to CBR Where disabled adults and parents have been fully involved in the design and implementation of programmes, CBR workers have a clearer understanding of disability as a development issue. Education, employment and poverty alleviation have been given a higher priority than medical rehabilitation in these programmes. The evolving concept of CBR and its relationship with the disability rights movement has been observed and documented by The Save the Children Fund, and forms the basis of this paper.     

Happiness has traitlike and statelike properties: A reply to Veenhoven

Veenhoven (1994) contrasted hypotheses of whether happiness is a trait or state, concluding that it is a state variable. This article critiques the conceptual foundation of Veenhoven's paper, and examines technical deficiencies in his review of evidence. Based on previous findings and new analyses, we conclude that happiness has both traitlike and statelike properties, but that individual differences in happiness endure despite its situational reactivity, and explain greater variance than situational effects.     

Non-profit institutions in a flow of funds framework

The benefits of providing a separate accounting for non-profit organisations in the financial accounts of the United States are discussed. At present, national economic accounts in the US include non-profit organisations with individuals in the household sector; separate information on the financial activity of non-profit institutions until now has not been available. In this paper, aggregate statistics from federal government tax-exempt filings for non-profit institutions are put into a US flow-of-funds framework. The data for the 1982–1988 period indicate that non-profit institutions accounted for a significant and growing proportion of assets of the household sector in the United States. Their liabilities were also a surprisingly large share of the household sector total. Moreover, funds supplied by the non-profit sector for investment were in some years comparable to funds made available by several important groups of non-depository financial intermediaries. Separate accounting for non-profit organisations within national economic accounts would be likely to reveal an important channel for investment financing in the United States and would significantly improve our ability to measure and analyse the financial activity of individuals by allowing for a purer household sector.The analysis and conclusions set forth are those of the authors and do not necessarily indicate concurrence by Salomon Brothers, the Board of Governors, Federal Reserve Banks or other members of their staffs.