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Modeling the growth of Brazilian cattle population

The growth of the Brazilian bovine cattle population was evaluated using the effective number of animals and the annual slaughter rate from 1983 to 2000. The Richards model was fitted with the profile likelihood technique. Two population parameters were calculated by Markov chain modeling: a) the probability of the cattle population to reach 200 million of animals in 2015 as a function of the slaughter rate; b) the time to reach this size, considering different annual slaughter rates. The Richards model was adequate to estimate the Brazilian cattle population growth since overestimated and/or underestimated values ranged between one and 2.5%. The probability of the Brazilian herd to reach 200 millions animals in 2015 for an annual slaughter rate of approximately 17% is 0.7 and the expected time to reach 200 million animals for annual slaughter rates of 16% and 18% was 11 and 20 years respectively.

Markov Chain; population growth indicators; profile likelihood function; Richards growth model


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