Hello Hussein, Thank you for the interesting question. This is my first time answering a question in this forum. I have investigated the dynamics of urban areas using the Systems Frameworks for Big Data processes for various governments and commented on issues relating to your question - hoping to publish in science literature soon. However, I have posted reports/peer reviewed publications on Researchgate that relate to the water cycle economics of urbanism - such as the Living Ballarat systems economics report etc. Moreover, early work on Urban Dynamics by Forrestor (1969) from MIT is good reading for policy background.
Several arguments points to postive relationship between urbanization and growth. Cities allow for more efficient distribution of social services such as health care, create larger markets for business, can attract more investment and stimulate consumption. Non-agricultural, high-paying jobs like banking, law, and engineering are generated etc
For an overview on the subject, I recommend the book : "Triumph of the City: How Our Greatest Invention Makes Us Richer, Smarter, Greener, Healthier, and Happier" by Edward Glaeser (Harvard University).