I’m in Southeast Louisiana. I have a newly rebuilt Yanmar YM2500 with the 3 cylinder Yanmar 3T80 diesel engine. It gets very hot here and the humidity is unbearable at times. I was going to use 15w-40 engine oil, until I did research online and found what Steve posted.
Here is notes that I’ve taken on what I’ll be using in my tractor:
     Engine Oil:
  -Shell Rotella T1 SAE 30 weight straight grade diesel engine oil
 -4.5 quarts 
 -Sold at Walmart, Tractor Supply,
and O’Reilly’s
  Transmission/Hydraulic Oil: 
-21 Quarts, John Deere JDM J20C or 
Yanmar TF500A. This is known as 
Hygard. Aftermarket oil must “meet” JDM J20C specs, not be “compatible” with.
-Tractor Supply “Traveller Universal 
Premium Tractor Fluid Trans/Hydraulic and Walmart “Super Tech Tractor Heavy Duty Transmission & Hydraulic Oil” meets JDM J20C specs.