The best replacement for appreciation is depreciation.

The best alternatives to appreciation are rated as following:
★★★★★  depreciation
★★★  gratitude
★★  appropriation
★★  thank you letter
★★  recognition
★  revaluation
★  thank you messages
★  music appreciation
★  depreciation currency
★  capital growth
★  cultural appropriation
  with appreciation
  commendation
  thanks
  art appreciation
  art history
  capital preservation
  cash flow
  admiration

Your alternative for appreciation is not listed? Suggest!
Speaking about appreciation, one probably shouldn't forget about thanks.

Other search terms related to appreciation and their ratings are:
★★★★★ thanks
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Google Trends

Scale is based on the average worldwide traffic of appreciation in all years. Click on graph for more.
appreciation
depreciation
gratitude