ATCT LCL CTLR WORKING ONE OF THE TWO LCL CTL POS IN THE TWR AND UNDER NONSTANDARD CONFIGN; CLRED A SMA FOR TKOF ON RWY 16L. THE ACFT TOOK OFF RWY 16R AND WAS IN CONFLICT WITH A BANNER TOW ACFT BEING WORKED BY LCL CTL #2 POS. LCL CTL #2 SAW THE POTENTIAL CONFLICT AND HAD GND CTL ATTEMPT TO CONTACT THE ERRANT SMA. CONFLICT WAS RESOLVED BY SEE AND AVOID CONCEPT.

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LONG BEACH ARPT WAS OPERATING IN AN 'S TFC' CONFIGN WITH RWYS 16L; 16R; AND 12 IN USE. LCL CTL #1 HANDLES RWY 16L. LCL CTL #2 HANDLES RWY 16R AND BOTH SHARE RWY 12. LCL CTL #1 HANDLES RWY 12 DEPS AND LCL CTL #2 'DOWNS' THE RWY AND HANDLES THE RWY 12 ARRS. THE S TFC OP IS NOT NEARLY AS SAFE AN OP AS THE W TFC CONFIGN AT LONG BEACH ARPT. PLTS AS WELL AS CTLRS ARE NOT AS PROFICIENT AT S TFC OPS AS W TFC OPS. S TFC IS MUCH MORE DEMANDING OF PLTS AND CTLRS BECAUSE OF THE INHERENT CONFLICTS AND COMPLEXITY. AFTER I HAD BEEN WORKING LCL CTL #1 OVER 1 HR 20 MINS OF BUSY AND COMPLEX S TFC; A KITFOX; ACFT X; CALLED ME FOR DEP. I OBSERVED WHAT APPEARED TO BE APPROPRIATE ACFT AT THE USUAL DEP POINT FOR RWY 16L AND ISSUED A DEP (TKOF) CLRNC TO THE ACFT X. VERY SHORTLY THEREAFTER I HEARD LCL CTL #2 ASKING ABOUT THE ACFT DEPARTING ON RWY 16R AND GND CTL ATTEMPTING TO CONTACT THE ACFT. I RECOGNIZED THE CALL SIGN AND TYPE AS THE ACFT I HAD JUST CLRED FOR TKOF ON THE OTHER RWY 16; THAT BEING RWY 16L. I CANCELED TKOF CLRNC; BUT THE ACFT BECAME AIRBORNE. I THEN ISSUED TFC (THE OPPOSITE DIRECTION BANNER-TOW ACFT Y APCHING FROM THE SW) AND THERE WAS RESOLUTION TO THE POSSIBLE CONFLICT. THE ACFT X WAS ISSUED TKOF CLRNC FOR RWY 16L YET DEPARTED RWY 16R. ACFT X CALLED THE WRONG LCL CTL FREQ (CORRECT FREQS ARE ON THE ATIS) FOR THE RWY HOLDING SHORT OF. SINCE ACFT DO NOT ALWAYS START ROLLING AS SOON AS CLRNC IS ISSUED; THE ACFT HOLDING SHORT OF RWY 16L NOT MOVING (IMMEDIATELY) WOULD NOT INDICATE ANYTHING WRONG. I WAS FATIGUED AFTER WORKING OVER 1 HR 20 MINS OF BUSY AND COMPLEX S TFC. IT WAS FORTUNATE THAT LCL CTL #2 WAS WORKING THE NONSTANDARD OPPOSITE DIRECTION BANNER TOW ACFT Y SO THERE WERE NO ACFT LNDG OR ON SHORT FINAL APCH TO RWY 16R. ALSO; IT WAS FORTUNATE THAT THERE WERE NO RWY XINGS OCCURRING AT THE TIME THE ACFT X DEPARTED.