AN ACR PILOT DESCRIBES THE FATIGUE AND RESULTING ERROR AFTER THE FIRST LEG OF AN INTERNATIONAL TRIP AT THE DESTINATION.

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WITH FATIGUE ISSUES COMING MORE AND MORE TO THE FOREFRONT OF OUR ATTN I AM REALIZING JUST HOW BIG A PROB THIS REALLY IS. AFTER WALKING OFF THE AIRPLANE IN ZZZ2 IT OCCURRED TO ME THAT WE HAD NOT READ A PARKING CHKLIST. FLT HAS A SCHEDULED DEP TIME OF XA27 CENTRAL TIME. I HAD BEEN UP SINCE XA00 AM LCL TIME AFTER AN EXCELLENT NIGHT'S SLEEP. I WORKED OUT ABOUT XB00. GOING TO WORK I FELT GOOD. ON THE ACFT I TOOK THE LAST BREAK BECAUSE THE FO WAS FLYING AND WANTED THE MIDDLE BREAK. I GOT INTO THE BUNK ABOUT 3 HRS AND 15 MINS BEFORE LNDG WITH INSTRUCTIONS TO THE FO'S TO WAKE ME UP ABOUT AN HR AND 15 MINS BEFORE LNDG. I IMMEDIATELY FELL ASLEEP AND WAS IN A DEEP SLEEP WHEN THE FO'S RANG THE CALL CHIME. I WAS STARTLED AND DISORIENTED BECAUSE OF THE DEEP LEVEL OF SLEEP. I ALMOST FELT WORSE THAN I WOULD HAVE IF I HADN'T GONE TO SLEEP. IT WAS NOW ABOUT XU00 AM MY TIME. I COULD TELL THAT MY MIND WAS SLOW AND I FELT IRRITABLE. ON THE ARR AND APCH THE FLYING FO MADE SEVERAL SMALL ERRORS WHICH I WAS ABLE TO CATCH INCLUDING AT ONE POINT SOMEHOW SELECTING HDG HOLD WHILE WE WERE SUPPOSED TO BE ON LNAV AND HE DIDN'T NOTICE IT. I CAUGHT IT JUST BEFORE WE WERE TO MAKE A TURN ON THE ARR. WE ALSO MISSED A COUPLE OF RADIO CALLS I THINK BECAUSE OF WHAT COULD BEST BE DESCRIBED AS FEELING LIKE I WAS IN A HAZE FROM FATIGUE. ONCE AT THE GATE I RECALL SETTING THE PARKING BRAKE; CALLING FOR AND WATCHING THE FO CUT OFF THE START LEVERS AND WATCHING THE ENGS SPOOL DOWN; AND THEN PERFORMING MY FLOW AND TURNING EVERYTHING OFF. AT THIS TIME SOMEONE FROM THE RAMP CALLED THE COCKPIT AND STARTED INQUIRING ABOUT THE STATE OF THE AIRPLANE; WHAT WRITE-UPS HE RECEIVED; AND IF WE HAD ANYMORE. THIS WAS DEFINITELY A DISTR AND OUT OF THE NORMAL COURSE OF GND TO COCKPIT COMS AND MAY HAVE CONTRIBUTED TO THE PROB. AT THE END OF THIS DISCUSSION I GATHERED MY BELONGINGS AND WALKED OFF THE AIRPLANE. NEITHER COPLT CAUGHT THE FACT THAT WE MISSED THE PARKING CHKLIST. WHEN I WAS STANDING IN THE TERMINAL AT THE END OF THE JETBRIDGE SOMETHING IN THE BACK OF MY MIND KEPT TELLING ME THAT I MISSED SOMETHING. THEN IT STRUCK ME; WE DIDN'T READ THE CHKLIST. I ADVISED THE FO AND WE THEN TOOK ACTION TO CORRECT THE MISTAKE. WHILE WE ACTUALLY ACCOMPLISHED ALL OF THE PROPER PROCS IN TERMS OF SHUTTING DOWN THE AIRPLANE; IT IS WORTH NOTING HOW FATIGUE CAN AFFECT OUR PROCESSES. WHEN I THINK BACK ON THE YRS I'VE SPENT IN AIRPLANES WE OFTEN FEEL THIS HIGH LEVEL OF FATIGUE WHEN FLYING INTERNATIONAL TRIPS.