Grantham supervisor Christian Reynolds has co-authored a paper examining healthy and sustainable diets.
Their objective was to model the dietary changes required to shift the UK population to diets that meet dietary recommendations for health, have lower greenhouse gas emissions (GHGE) and are affordable for different income groups. They found that healthy and lower GHGE diets could be created in all income quintiles but tailoring changes to income groups to minimise deviation may make dietary changes more achievable. Specific attention must be given to interventions and policies to be appropriate for all income groups.
You can read the full paper here