for increasing yielding of potato, you should use the high yielding variety, free of disease i.e disease resistant variety, sufficient and proper dose of organic manure, maintain the proper soil health system i.e to manage the soil physical and biological properties. If you are the first time to potato farming, you should consult an expert farmer. you should have profound knowledge of serious potato disease known as late blight or potato blight. (Early blight, caused by Alternaria solani, is also often called "potato blight".) Even you need to be careful for insect pests of potato to protect
There are huge works on potato over the world, You may have consult with :
American Journal of Potato Research http://link.springer.com/journal/12230
The Potato Association of America http://potatoassociation.org/
Central Potato Research Institute http://cpri.ernet.in/
Major new potato research project announced in New Zealand http://www.potatopro.com/news/2015/major-new-potato-research-project-announced-new-zealand
Now I think you may have a direction to get some experiences on potato farming.
Probably a good satart is some validated model on climates that can be assimilated to your target. for an example as in http://www.tandfonline.com/doi/pdf/10.1080/01140671.2004.9514285 or control odl literatures from Wageningen as the ones from Herman van Keulen (-2013), and p40 of a general report would give the actual limits in North europe. http://www.wrr.nl/fileadmin/nl/publicaties/DVD_WRR_publicaties_1972-2004/W062_Input_and_output_coefficients_fo_various_cropping.pdf