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Photovoltaic (PV) and wind energy production modeling essentially follows bottom-up approaches, based on physical considerations. These models fo- cus mostly on the calculation of Energy Return on Energy Invested (ERoEI), while some also present calculation of energy payback time or energy canni- balism, to evaluate the ability of these technologies to handle energy transi- tion. Besides, sigmo ̈ıd or S-curve function are often used to fit the production of these industries over time, based on economical considerations, rather than physical ones. This paper aims at coupling net production and ERoEI, using energy conservation and ERoEI definition, to develop a model that could re- produce a S-curve function and allow to investigate the net energy delivered by PV and wind industries. This approach allows to explain the inconsis- tency which sometimes exists between bottom-up and top-down studies on PV ERoEI calculation. It also explains why the classic relationship between net and gross energy, that is a ratio equal to (ERoEI − 1)/ERoEI, does not apply to low carbon energy industries before they reach a steady-state or a quasi-static evolution. As an example, net PV production is sti

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