A number of wiring tables show #6 gauge (AWG) with a maximum current carrying capacity of 95/101 amps, #4 gauge with 120/135 amps and #2 with 181 amps. Your current limiting device will be your 1000 watt inverter which could draw up to 95/100 amps allowing for a 90 to 95 percent efficient inverter - or even higher for short term current draw peaks. Using 6 gauge would be very marginal and I would recommend a minimum of #4 gauge, but if you ever increase the size of your inverter you are going to also have to increase your wiring. I have my four 6-volt batteries powering a 1,800 watt inverter with the longest cable 18 inches long wired with #2 gauge.