A Gravity Model of Mortality Rates for Two Related Populations

Abstract

The mortality rate dynamics between two related but different-sized populations are modeled consistently using a new stochastic mortality model that we call the gravity model. The larger population is modeled independently, and the smaller population is modeled in terms of spreads (or deviations) relative to the evolution of the former, but the spreads in the period and cohort effects between the larger and smaller populations depend on gravity or spread reversion parameters for the two effects. The larger the two gravity parameters, the more strongly the smaller population’s mortality rates move in line with those of the larger population in the long run. This is important where it is believed that the mortality rates between related populations should not diverge over time on grounds of biological reasonableness. The model is illustrated using an extension of the Age-Period-Cohort model and mortality rate data for English and Welsh males representing a large population and the Continuous Mortality Investigation assured male lives representing a smaller related population.     

Redistributive effects of the shift from personal income taxes to indirect taxes: Belgium 1988–93

Between 1988 and 1993, the Belgian personal income tax system and the indirect tax system were reformed to a considerable extent. We use microsimulation models to investigate the impact of the reform on the liability progression and the redistributive effect of the combined tax system. The redistributive effect of personal income taxes decreased, notwithstanding an increase in liability progression. For indirect taxes, both the liability regressivity and the reverse redistributive effect have been enhanced. We use recently developed statistical tests to gauge the significance of the observed changes.     

Evidence on the Relationship between Low Income and Poor Health: Is the Government Doing Enough?

The government's report, Opportunity for All: Tackling Poverty and Social Exclusion (Department of Social Security, 1999), identified poor health as one of the major problems associated with low income. However, much of the available evidence on the relationship between income and health is of little help in forming policies to reduce health inequalities, as it has tended to be based on cross‐section surveys and is therefore unable to shed much light on causal effects. Here, we make use of two British longitudinal datasets to examine the longer‐term influences of income on health within a life‐course perspective. We then use the results of our analysis to provide a brief critical assessment of the likely success of the government's anti‐poverty strategy in reducing health inequalities. A more detailed assessment of government policy in this respect can be found in Benzeval et al. (forthcoming).     

The impact of citizens' groups on urban policies: towards a contextual analysis

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