Tente isto:
SELECT schema_name, sum(table_size), (sum(table_size) / database_size) * 100 FROM ( SELECT pg_catalog.pg_namespace.nspname as schema_name, pg_relation_size(pg_catalog.pg_class.oid) as table_size, sum(pg_relation_size(pg_catalog.pg_class.oid)) over () as database_size FROM pg_catalog.pg_class JOIN pg_catalog.pg_namespace ON relnamespace = pg_catalog.pg_namespace.oid ) t GROUP BY schema_name, database_size
Edit:acabei de notar que a solução de somar todas as tabelas para obter o tamanho do banco de dados não é necessária:
SELECT schema_name, pg_size_pretty(sum(table_size)::bigint), (sum(table_size) / pg_database_size(current_database())) * 100 FROM ( SELECT pg_catalog.pg_namespace.nspname as schema_name, pg_relation_size(pg_catalog.pg_class.oid) as table_size FROM pg_catalog.pg_class JOIN pg_catalog.pg_namespace ON relnamespace = pg_catalog.pg_namespace.oid ) t GROUP BY schema_name ORDER BY schema_name