Screening on a relative basis would most appropriately be used to construct a balanced and diversified portfolio. This approach involves comparing companies within the same industry or sector and selecting those that perform better on ESG criteria relative to their peers.

Relative Comparison: Screening on a relative basis allows investors to identify the best-performing companies within each sector or industry, ensuring a balanced approach across different segments of the market.

Diversification: By selecting top ESG performers from various industries, investors can maintain a diversified portfolio while still adhering to ESG principles. This helps in spreading risk across different sectors.

Sector-Neutral: This approach ensures that the portfolio is not overly concentrated in specific sectors, which can happen with thematic investing or absolute screening. It allows for sector-neutrality, maintaining exposure to a broad range of industries.