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Transition Probability Matrix.

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posted on 2021-12-20, 18:45 authored by Shanel C. Pickard, David J. Bertsch, Zoe Le Garrec, Roy E. Ritzmann, Roger D. Quinn, Nicholas S. Szczecinski

(A) Example organization of the square transition probability matrix. The probability, P, of transitioning out of behavior i to behavior j is held in the matrix element, i,j. For example, P3,1 represents the observed probability of the animal transitioning from behavior 3 (specific translation, ST) to behavior 1 (successful strike, SS). The color coding seen in (A) denotes the regime in which each behavior belongs (red = hunting regime behaviors; blue = nonhunting behaviors). The red shaded region of the square matrix corresponds to the probabilities of hunting behaviors further transitioning into hunting behavior. The purple regions show the transition probabilities corresponding to a regime change; this either occurs when there is a transition from a hunting behavior to a nonhunting behavior, or conversely, when transitioning from a nonhunting behavior to a hunting behavior. The blue shaded region signifies transitions that remain in the nonhunting regime. To best show many transition matrices across all feed states in a single figure, the 12 x 12 matrix for each subsequence was reorganized as a column vector. (B) The column vector holds all the probabilities from the square matrix, and is structured according the color coding seen in the figure. (C) After each transition matrix corresponding to each subsequence is converted to a column vector, all the column vectors can be concatenated into a single, 2D matrix, with the maintained shaded regions. SS = successful strike; MS = missed strike; ST = specific transition; SR = specific rotation; SM = specific monitoring; GM = general monitoring; GR = general rotation; GT = general translation; Groom = grooming; Deim = deimatic; Esc = escape.

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