Chapter 1. Modeling coupled climate ecosystems and economic systems Human economies and ecosystems form a coupled system coevolving in time and space since human economies use ecosystems services and at the same time affect ecosystems through their production and consumption activities. The study of the interactions between human economies and ecosystems is fundamental for the efficient use of natural resources and the protection of the environment. This necessitates the development and use of models capable of tracing the main interactions links and feedbacks. In developing this chapter our objective was to focus on a segment of rapidly developing literature on coupled ecological economic models with an emphasis on climate change. The advantage of this approach is that it introduces the reader to a very important current research topic but it also allows by using climate as the reference ecosystem the exploration of new modeling approaches which are relevant and useful for the modeling of other types of coupled ecological economic systems. These include modeling of deep structural uncertainty by using robust control methods exploring modeling through cumulative carbon budgeting studying spatial transport phenomena and spatial aspects in economic ecological modeling.