The best replacement for negative reinforcement is positive reinforcement.

The best alternatives to negative reinforcement are rated as following:
★★★★★  positive reinforcement
★★★★★  punishment
★★  positive
★★  negative punishment
★★  positive punishment
★  punishment skinner
★  positive reinforcement dog training
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Speaking about negative reinforcement, one probably shouldn't forget about operant conditioning.

Other search terms related to negative reinforcement and their ratings are:
★★★★★ operant conditioning
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