Greetings Keith,
Calculating wire gauge sizes for a required amperage load at a given voltage using copper or aluminum wire and a specific insulation type operating at a specific ambient air temperature inside or outside of a conduit and allowing for only a small voltage drop as a percentage of the source voltage and accounting for acceptable derating factors is a royal pain in the ass.
In its simplest form these equations look something like this ...
CrossSectionalAreaOfWireinSquareMilimeters = 2 x LengthOfWire * AmperageDraw * WireResistance / VoltageDrop
For the Weekender, the LengthOfWire is about 15 ft. The WireResistance per ft for the type of conductor can be looked up in a American Wire Guide (AWG) table. For most 12 volt trolling motors, the AmperageDraw in amps is roughly the same as the thrust rating in pounds. For 24 volt trolling motors, the amps is about 1/2 of the thrust rating. Acceptable voltage drop for a motor is 2% to 3% of the source voltage.
Brain melting yet?
No worries. Use this handy calculator instead ...
http://beta.circuitwizard.bluesea.com/
A reasonable set of values for a 45 # thrust trolling motor mounted on the stern of a Weekender with the battery in the forepeak would be ...
Circuit Voltage: 12 v
Load Current: 45 amps
Length of Conductor: 15 feet
Allowable Voltage Drop: 3%
Type of Load: Fixed
Wire Insulation Temperature Rating: 75 c
In Engine Room [ ]
Duration: 120 minutes
Terminated on Fuse? [ x ]
In Conduit or Sheath? [ x ]
Extra Thermal Insulation? [ x ]
Press the ( Calculate ) button, and the answer is ..
AWG 6
(We will assume that you installed the wires in conduit and that the conduit runs through a compartment full of foam flotation (extra insulation)Â
 )
If you don't use conduit and do not encase the wires in foam, then the wire size jumps up to
AWG 8
Or, you could just run down to the local Bass Pro Shop, Cabella's, Dicks Sporting Goods, or wherever, and take a peak inside a one of those fancy new production bass fishing boat in the 16 to 20 ft range with the glitter paint job sitting all sitting on a matching trailer for a cool 20 large, sporting a bow mounted trolling motor, and you will find ...
AWG 6 wires
For the same thrust rating, a 24 volt system will use only 1/2 the amperage which would lead to AWG 10 for the above numbers (ie. Circuit Voltage: 24v and Load Current: 23 amps)
AWG 10 probably is not up to the task for 12 volt systems unless the battery is right next to the motor and you only use the motor for a short time, just to get away from the dock, etc.
If you are really cheap, use AWG 8.
I personally would just go ahead and use AWG 6.
Cheers,
Tom