Estimation of methane and carbon dioxide from open dumps in developing countries where there is no available statistics of quantity of waste generated and population.
Not sure if there is an official method. But my approach would be something like:
1. Look up statistics for waste generation in an proxy area that is similar to the area you are interested in.
2. Look up the share of degradable materials in waste from these areas. Maybe subdivided in Fast degradable (food waste etc.) and slower degradable (wood, paper etc.).
3. Use either the IPCC values for finding methane production rates, or use one of the freely available models for calculating this.
I would probably choose the latter model, as it has some predefined data. So if you base it on this, you just need to choose what type of waste is in your landfill from some set types (defined earlier, but where you can get inspired here), and how has it been landfilled, what is the type of landfill (shallow or deep), and a few other settings. And it will then give you the year by year and commulative rates of methane.