“…The Cobb-Douglas Production functions are the most widely used types to depicts the production theory (Chisasa and Makina, 2013), while it cannot cope with the complex systems that with multiple inputs/multiple outputs production systems that influenced by natural resources, external environmental attributes, and the preferences of land managers. To address the multiple-inputs/multiple outputs production functions, the efficiency frontier method has become popular (Grosskopf et al, 1992), which can be traced back to the ideas put forward by Farrell (Farrell, 1957).…”