defecation vs elimination

defecation and elimination both are nouns.

Word	Noun	Adjective	Verb	Adverb
defecation	Yes	No	No	No
elimination	Yes	No	No	No

As nouns, elimination is a hypernym of defecation; that is, elimination is a word with a broader meaning than defecation:

Other hypernyms of defecation include evacuation, excreting, excretion, voiding.

defecation (noun)	elimination (noun)
the elimination of fecal waste through the anus	the murder of a competitor
	the act of removing or getting rid of something
	the act of removing an unknown mathematical quantity by combining equations
	analysis of a problem into alternative possibilities followed by the systematic rejection of unacceptable alternatives
	the bodily process of discharging waste matter