This invention provides monitoring garments for non-invasively monitoring physiological parameters in un-restrained and / or restrained animals, such as monkeys, rabbits, dogs, horses, and the like. The invention also includes methods and systems for collecting and processing monitoring data and methods for recognizing apneas and other respiratory events, periods of restfulness and wakefulness, stereotypical behavior and other indicators of dysphoric states, periods of emesis, and occurrence of barking and coughing.