"greater dependence" is a correct and commonly used phrase in written English.
It refers to a stronger or more significant reliance on something or someone. Example: "In today's society, there is a greater dependence on technology for communication and information sharing."
Subsidized loans translate into higher tuition and greater dependence on borrowing.
That might largely be explained by China's much greater dependence on exports of manufactured goods.
America's greater dependence on its rich is due in part to their good fortune.
The worldwide outlook thus led to a greater dependence on books.
Reduction in prey populations results in greater dependence on livestock and the consequent retribution from man.
The paradox of celebrating better economic relations with Beijing as essential to Taiwan's prosperity while repudiating them as leading to greater dependence on Beijing reflects Taiwan's difficult situation.
Mr. Sena, the analyst, said the earnings indicated that Groupon was moving toward a greater dependence on selling discounted merchandise rather than the more profitable coupons.
The low cost of petrol encourages greater dependence; the average American uses much more oil per day than other rich world citizens.
Sharecropping as a system of land tenure and labour relations emerged, and with it came an even greater dependence on a single crop: cotton.
Greater dependence on oil imports in Asia, where demand is rising because more people are buying cars, could raise concerns about the reliability of oil supply.
The teeth of Pliohippus are taller and more complexly folded than those of earlier horses; these features indicate a greater dependence on grazing than browsing for food.
