The affix āhi comes after the word dakṣiṇa in the sense of astāti as well as āc when the reference is to a distant limit.,
Thus दक्षिणाहि वसति or दक्षिणा वसति 'he lives far away in the south'. Similarly दक्षिणाहिं रमनायम्, दक्षिणा रमणीयम् ॥
Why do we say दूरे 'when the adverb denotes a distant limit'? Observe दक्षिणतो वसति ॥ The word अपञ्चम्याः governs this also: as, दक्षिणत आगतः ॥,