Editing Production function (section)

===== Inter-dependent factors of production =====
The "independent" energy-dependent production function can be revised by considering energy-dependent labor and capital input functions <math>L = L(E(t))</math>, <math>K = K(E(t))</math>. This approach yields an energy-dependent production function given generally as <math>Q = f(L(E), K(E))</math>. Details related to the derivation of a specific functional form of this production function as well as empirical support for this form of the production function are discussed in more-recently published work.<ref name=":0" /> Note that similar arguments could be used to develop more-realistic production functions which consider other depletable natural resources beyond energy:

* If a geographical region runs out of the natural resources required to produce a given machine or maintain existing machines and is unable to import more or recycle, the machines in that region will eventually fall into disrepair and the machines' maximum output would be reduced to near-zero. This should be modeled as significantly affecting the total output. Therefore, therefore <math>K</math> should be modeled as depending directly on time-dependent natural resource input <math>N(t)</math>.