To what extent do animals (non-humans) have language?

Language: Language is the verbal or non-verbal communication between individuals by using words structured in a specific order (syntax). Spoken language uses different sounds (phonology). Words have different variations (morphology). Speaking is physiologically made possible through a vocal tract; only humans have this, therefore from a purely physiological perspective animals cannot "speak".

Examples of animal "language": 

• Vervet monkeys give different alarm calls ("cries") for different predators.
• Alex the smart talking parrot.
• Kanzi the Bonobo ape can talk via a lexigram (keyboard with pictures for words) and sign language. Tiko is her son, who is raised in this "bispecies" environment (raised by both the researcher and the ape) and will hopefully be able to speak fluently and behave like a human.