Foster and Shneyerov (2000) explore an additive decomposition property for inequality measures that they call path independent decomposition. They characterise the class of measures that have this property. Taking their results as a reference, we seek here to generalise the notion of decomposability, and to characterise inequality measures that admit path independent multiplicative decompositio...

In Spain, recruiting and promotion procedures in the public sector would appear to leave less room for gender discrimination than in the private sector. Employing data for 1977 and 1992, this paper explores the consequences of these procedures for gender segregation using an additive segregation index based on the entropy concept. It is found that gender segregation in the private sector is sig...

We present a class of decomposable inequality indices for ordinal data (e.g. self-reported health survey). It is characterized by well-known inequality axioms (e.g. scale invariance) and a decomposability axiom which states that an index can be represented as a function of inequality values in subgroups and subgroup sizes. The only decomposable indices are strictly monotonic transformations of ...

We will discuss some relations among values, i.e., global/overall importance of each single element of the object to be considered, interaction indices, i.e., simultaneous interaction among the elements in a coalition, and inclusion-exclusion coverings, i.e., decomposability of non-additive measures and/or of the Choquet integral. So, we show that inclusion-exclusion coverings are characterized...

Land use and climate changes induce shifts in plant functional diversity and community structure, thereby modifying ecosystem processes. This is particularly true for litter decomposition, an essential process in the biogeochemical cycles of carbon and nutrients. In this study, we asked whether changes in functional traits of living leaves in response to changes in land use and climate were rel...

Forest ecosystems are critical for their carbon sequestration potential. Increasing tree diversity has been shown to enhance both forest productivity and litter decomposition. Litter increases decomposability by increasing the of substrates offered decomposers. However, relative importance decomposer community in mediating effects on decomposition remains unknown. Moreover, modulation litterfal...

This first talk is dedicated to assessing the theoretical recovery performance of this class of regularizers. We consider regularizations with convex positively 1homogenous functionals (in fact gauges) which obey a weak decomposability property. The weak decomposability will promote solutions of the inverse problem conforming to some notion of simplicity/low complexity by living on a low dimens...