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<p>Water resources optimization conventionally maximizes system-wide efficiency, treating distributional equity as secondary. Here we present a framework that directly incorporates equity into optimization using Atkinson’s inequality measure. This approach makes distributional value judgements transparent through a single, interpretable inequality aversion parameter that spans principles from utilitarian efficiency to Rawlsian justice, enabling stakeholders to negotiate between efficiency and fairness. Applied to hydropower operations and floating photovoltaic expansion in the Zambezi Watercourse, we demonstrate that substantial equity improvements (3–25 percentage point reduction in the Atkinson index) can be achieved with minimal efficiency sacrifices (1.0–4.2% of total hydropower generation). These gains arise through increases in reliable (‘firm’) power generation, enhancing drought resilience for the most vulnerable riparian states. The framework adapts to changing objectives, prioritizing investments towards disadvantaged actors without requiring predetermined weights or hierarchies. The methodology generalizes to any multi-actor resource allocation problem in which monotonically increasing, concave objectives create scope for welfare-improving redistribution.</p>

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Balancing equity and efficiency in transboundary water systems with Atkinson’s welfare function

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月24日

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  • Wyatt Arnold,
  • Matteo Giuliani,
  • Andrea Castelletti

摘要

Water resources optimization conventionally maximizes system-wide efficiency, treating distributional equity as secondary. Here we present a framework that directly incorporates equity into optimization using Atkinson’s inequality measure. This approach makes distributional value judgements transparent through a single, interpretable inequality aversion parameter that spans principles from utilitarian efficiency to Rawlsian justice, enabling stakeholders to negotiate between efficiency and fairness. Applied to hydropower operations and floating photovoltaic expansion in the Zambezi Watercourse, we demonstrate that substantial equity improvements (3–25 percentage point reduction in the Atkinson index) can be achieved with minimal efficiency sacrifices (1.0–4.2% of total hydropower generation). These gains arise through increases in reliable (‘firm’) power generation, enhancing drought resilience for the most vulnerable riparian states. The framework adapts to changing objectives, prioritizing investments towards disadvantaged actors without requiring predetermined weights or hierarchies. The methodology generalizes to any multi-actor resource allocation problem in which monotonically increasing, concave objectives create scope for welfare-improving redistribution.