The phrase "a shift in the distribution of" is correct and usable in written English.
It can be used when discussing changes in how something is spread or allocated, often in contexts like statistics, economics, or social sciences.
Example: "The study revealed a shift in the distribution of wealth among different socioeconomic groups over the past decade."
Alternatives: "a change in the allocation of" or "a variation in the spread of".
This was caused not just by rising incomes, but also by a shift in the distribution of incomes to the wealthy, who pay the highest tax rates.
The new figures show a shift in the distribution of poverty among different tenure types, with the greatest number – 860,000 (of whom 260,000 are children) – now in the fast-growing private rented sector, which currently accommodates about 30% of all households in London.
The row threatened to overshadow a shift in the distribution of the awards, which saw the number of women receiving a gong outnumber men for the first time in the modern era of the honours system, which began in 1917 with the advent of the OBE.
The perturbation, such as mutation, phosphorylation and reaction with small molecules at any site in the protein or DNA structure, leads to a shift in the distribution of the conformational states.
Other possible explanations include declining worker mobility resulting from better initial worker-firm matching, a shift in the distribution of outside wage offers, increased mobility costs or employment adjustment costs, or the globalization of the production process.
This may indicate the start of a shift in the distribution of the two species, as D. octaedra generally has a northern European distribution and is frost-tolerant, while D. attemsi has a southern European distribution and is more drought-tolerant.
However, these goals - like too many agreed by government summits before - will not be met unless the next 15 years sees a fundamental shift in the distribution of power.
A considerable shift in the distribution of government research funding was observed between 2008 and 2012.
Commentator Fareed Zakaria sees this "rise of the rest" as a transformative, tectonic shift in the distribution of global power.
