You must look at the pump specifications. There will be a chart for gallons per minute (or hours) verses lift and discharge pipe size. I looked up a gas Honda pump at
http://powerequipment.honda.com/pumps/models/wx10 and surprising it does state 121 feet of lift but not the GPM. It does show a number but it is for zero lift.
Your problem will be the elevation. 60 feet is a lot to push up plus 450 feet has a lot of resistance. Probably at least 2" pipe to get any amount of water to flow. However, you might get away with a smaller diameter pipe since you only would need to do drip type irrigation for the trees. Another fact of life (physics) is no pump can suck more that 25 feet in lift so your pump (gas or electric) will have to be at the lake. If you need to have the pump at the tree level you'll need a jet pump. The jet would have to be in the lake and two pipes from the pump to the lake but I think the 450 feet is too much. Jet pumps are used for domestic water needs with a pressure tank.
I also looked up a pump that is a typical
2 HP irrigation pump but it does not mention any kind of head lift on line. It's usually in the manual.
If you can go with electric, 2 HP at 240 volts will be needed to get any kind of decent water flow. Just have to look at the specification charts. There are 3 hp pump that will work at 240 volts but you'll need 10 gauge wiring. Above 3 HP you start getting into three phase motors, very expensive.