'demographic' originates from Greek, specifically the word 'dēmos,' meaning 'people,' and 'graphia,' meaning 'writing or description.' 'Increase' originates from Latin, specifically the word 'increscere,' where 'in-' meant 'into' and 'crescere' meant 'to grow.'

'Demographic' evolved from the Greek 'dēmos' and 'graphia' into the modern English term through French influence. 'Increase' transformed from the Latin 'increscere' into the Old French 'encreistre,' eventually becoming the modern English 'increase.'

Initially, 'demographic' referred to the study of populations, while 'increase' meant 'to grow.' Over time, 'demographic-increasing' has come to specifically denote a rise in population numbers.