A sow replacement model using Bayesian updating in a three-level hierarchic Markov process

Several replacement models have been presented in literature. In other applicational areas like dairy cow replacement various methodological improvements like hierarchical Markov processes and Bayesian updating have been implemented, but not in sow models. Furthermore, there are methodological improvements like multi-level hierarchical Markov processes with decisions on multiple time scales, efficient methods for parameter estimations at herd level and standard software that have hardly been implemented at all in any replacement model. The aim of this study is to present a sow replacement model that really uses all these methodological improvements. In this paper the biological model describing the performance and feed intake of sows is presented. In particular, estimation of herd specific parameters is emphasized. The optimization model is described in a subsequent paper.

[1]  Anders Ringgaard Kristensen A general software system for Markov decision processes in herd management applications , 2003 .

[2]  Peter Noel Haran Markov decision processes in the optimisation of culling decisions for Irish dairy herds , 1997 .

[3]  Anders Ringgaard Kristensen Maximization of Net Revenue per Unit of Physical Output in Markov Decision Processes , 1991 .

[4]  P. B. Lynch,et al.  Voluntary feed intake by lactating sows , 1985 .

[5]  J. Dourmad,et al.  Effect of the feeding level during rearing on performance of Large White gilts. Part 1: Growth, reproductive performance and feed intake during the first lactation. , 1998, Reproduction, nutrition, development.

[6]  G. Dial,et al.  Returns to service after mating and removal of sows for reproductive reasons from commercial swine farms. , 1997, Theriogenology.

[7]  Michael A. West,et al.  Bayesian Forecasting and Dynamic Models (2nd edn) , 1997, J. Oper. Res. Soc..

[8]  Anders Ringgaard Kristensen,et al.  A sow replacement model using Bayesian updating in a three-level hierarchic Markov process: II. Optimization model , 2004 .

[9]  Lluis M. Pla,et al.  A Markov decision sow model representing the productive lifespan of herd sows , 2003 .

[10]  Ronald A. Howard,et al.  Dynamic Programming and Markov Processes , 1960 .

[11]  James C. Cox,et al.  Quantifying the Effects of Sow‐Herd Management Information Systems on Farmers' Decision Making Using Experimental Economics , 1998 .

[12]  Pla Aragonés,et al.  A Markov sow herd model for on-farm decision support , 2001 .

[13]  C. Franti,et al.  Neonatal survival in swine: effects of low birth weight and clinical disease. , 1989, American journal of veterinary research.

[14]  Aalt A. Dijkhuizen,et al.  An economic comparison of management strategies on reproduction and replacement in sow herds using a dynamic probabilistic model. , 1992 .

[15]  Steffen L. Lauritzen,et al.  Representing and Solving Decision Problems with Limited Information , 2001, Manag. Sci..

[16]  Nils Toft,et al.  Estimation of farm specific parameters in a longitudinal model for litter size with variance components and random dropout , 2002 .

[17]  A R Kristensen,et al.  Optimal replacement of mastitic cows determined by a hierarchic Markov process. , 1994, Journal of dairy science.

[18]  Anders Ringgaard Kristensen Bayesian updating in hierarchic Markov processes applied to the animal replacement problem , 1993 .

[19]  Anders Ringgaard Kristensen Optimal replacement and ranking of dairy cows determined by a hierarchic Markov process , 1987 .

[20]  Ruud B.M. Huirne,et al.  Economic optimization of dairy heifer management decisions , 1999 .

[21]  M. West,et al.  Bayesian forecasting and dynamic models , 1989 .

[22]  Ruud B.M. Huirne,et al.  An application of stochastic dynamic programming to support sow replacement decisions. , 1993 .

[23]  Erik Jørgensen,et al.  Multi‐level hierarchic Markov processes as a framework for herd management support , 2000, Ann. Oper. Res..

[24]  A. A. Dijkhuizen,et al.  THE ECONOMIC OPTIMISATION OF SOW REPLACEMENT DECISIONS BY STOCHASTIC DYNAMIC PROGRAMMING , 1988 .

[25]  Ruud B.M. Huirne,et al.  Economic optimization of sow replacement decisions on the personal computer by method of stochastic dynamic programming , 1991 .

[26]  Anders Ringgaard Kristensen,et al.  Hierarchic Markov processes and their applications in replacement models , 1988 .

[27]  Aalt A. Dijkhuizen,et al.  Dynamic probabilistic modelling of reproduction and replacement management in sow herds. General aspects and model description , 1992 .

[28]  John O.S. Kennedy,et al.  An adaptive decision-making aid for dairy cow replacement , 1993 .

[29]  Steffen L. Lauritzen,et al.  LIMIDs of decision problems , 1999 .

[30]  J. Dourmad,et al.  Effect of the feeding level during rearing on performance of Large White gilts. Part 2: Effect on metabolite profiles during gestation and lactation, and on glucose tolerance. , 1998, Reproduction, nutrition, development.

[31]  Anders Ringgaard Kristensen Optimal Replacement and Ranking of Dairy Cows under Milk Quotas , 1989 .