The Thrissur-based outfit sent a letter to the Prime Minister, who is also the Chairman of the National Board for Wildlife, requesting a high level inquiry into the issue.
"During 2015, a total of 11 captive elephants died due to torture and neglect near festival places in the state," the outfit alleged in the letter.
As many as 383 elephants had so far been ran amok in 3057 incidents in 14 districts of Kerala during the period, the letter, released to media, said.
However, the Kerala government had not initiated any comprehensive inquiry into these incidents, it said.
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A high level inquiry should be conducted into these kinds of deaths of elephants and human beings, it said, adding the festival organisers, which rule the festival places by parading musth effected jumbos, were responsible for such casualties.
"The Kerala Government remain as a mute spectator even after the Supreme Court had ordered for strict implementation of Elephant Parade Rules with effect from 18th August 2015," it said.
Gandhari in Gomati district for better conservation of the jumbos, whose population was dwindling in the state. The reserve is spread over 123.8 sq km area.
Just 30 to 40 years ago, elephants had never been seen in inhabited areas in Agartala, forest officials said. The pachyderms started invading human habitations after the cutting down of forests for construction of a hydel power project on the Gomati river.
With the loss of their habitat, the elephants started migrating to Bangladesh where forests were abundant.
Gupta said that a large number of elephants had migrated to the Chittagong hill tracts in Bangladesh from the Gomati Wild Life Sanctuary.