Using the weighted Lorenz curve to represent balance in collaborations: the BIC indicator

Current research on scientific collaboration lacks a comprehensive measure of balance among partners. Existing indicators focus on intensity or volume but not on the equitable distribution of collaboration efforts. Prior work has established metrics like collaboration intensity and country-level contributions, but no single measure captures balance across weighted partnerships. This gap motivated the need for a new indicator that accounts for both the number and the relative strength of collaborations. The absence of such a tool limits the ability to assess equitable scientific partnerships. The Gini evenness index has been used in economics to measure inequality, but its application to collaboration networks is novel. This paper introduces a new approach by adapting the index for scientific collaboration. The study addresses the need for a more nuanced understanding of how collaboration efforts are distributed among countries.

The goal is to develop a new indicator that evaluates the balance of collaboration efforts among countries. The BIC indicator builds on the Gini evenness index and applies it to a weighted Lorenz curve. This approach allows for a more accurate representation of collaboration equity. The study aims to fill a gap in the literature by providing a measure that reflects not only the quantity but also the fairness of collaboration. The indicator is designed to work alongside existing metrics like RIC. The focus is on the collaboration network involving the top twenty countries in scientific output. The timeframe spans 2000 to 2020 to capture long-term trends. The study seeks to enhance the toolkit available for analyzing scientific collaboration networks.

The study introduces the BIC indicator based on the Gini evenness index applied to a weighted Lorenz curve. The indicator is calculated using data from the top twenty countries in scientific collaboration. The weighted Lorenz curve is constructed to represent the distribution of collaboration efforts. The Gini index is adapted to measure the evenness of this distribution. The method involves analyzing the collaboration network between these countries over twenty years. Data sources include publication records and collaboration metrics. The approach extends the use of the RIC indicator by incorporating balance into the analysis. The method is validated through examples from the collaboration network data.

The BIC indicator successfully captures the balance of collaboration efforts among the top twenty countries. The indicator ranges from 0 to 1, with higher values indicating greater balance. The study found that the indicator provides a more nuanced view of collaboration equity than existing measures. The weighted Lorenz curve approach allows for a detailed analysis of collaboration distribution. The results show that some countries exhibit high collaboration intensity but low balance. The indicator is sensitive to changes in collaboration patterns over time. The examples demonstrate the utility of the BIC indicator in assessing collaboration equity. The method is shown to be effective in capturing the fairness of scientific partnerships.

The BIC indicator offers a new way to assess the balance of collaboration efforts among countries. The indicator complements existing measures like RIC by adding a dimension of equity. The study shows that the indicator is effective in capturing collaboration balance. The results suggest that the BIC indicator can be used to evaluate the fairness of scientific partnerships. The approach is validated through examples from the collaboration network data. The indicator is sensitive to changes in collaboration patterns over time. The study demonstrates the utility of the BIC indicator in analyzing scientific collaboration networks. The findings support the use of the BIC indicator as a valuable addition to the existing toolkit.