A review of mathematical functions

A review of mathematical functions

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时间:2019-08-09

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1、doi:10.1017/S0043933910000280Areviewofmathematicalfunctionsfortheanalysisofgrowthinpoultry1234H.DARMANIKUHI,T.PORTER,S.LÓPEZ,E.KEBREAB,4252A.B.STRATHE,A.DUMAS,J.DIJKSTRAandJ.FRANCE*1AnimalSciencesGroup,FacultyofAgriculture,UniversityofIlam,Ilam69315/2516,Iran;

2、CentreforNutritionModelling,DepartmentofAnimalandPoultry3Science,UniversityofGuelph,GuelphON,N1G2W1,Canada;InstitutodeGanaderíadeMontaña(UniversidaddeLeón–CSIC),Departamentode4ProducciónAnimal,UniversidaddeLeón,E-24007León,Spain;Departmentof5AnimalScience,Univ

3、ersityofCalifornia,Davis,CA95616,USA;AnimalNutritionGroup,WageningenUniversity,POBox338,6700AHWageningen,TheNetherlands*Correspondingauthor:jfrance@uoguelph.caPoultryindustriesfacevariousdecisionsintheproductioncyclethataffecttheprofitabilityofanoperation.Predi

4、ctionsofgrowthwhenthebirdsarereadyforsaleareimportantfactorsthatcontributetotheeconomyofpoultryoperations.Mathematicalfunctionscalled‘growthfunctions’havebeenusedtorelatebodyweight(W)toageorcumulativefeedintake.Thesecanalsobeusedasresponsefunctionstopredictdai

5、lyenergyandproteindietaryrequirementsformaintenanceandgrowth(Franceetal.,1989).Whendescribinggrowthversusageinpoultry,afixedpointofinflexioncanbealimitationwithequationssuchastheGompertzandlogistic.Inflexionpointsvarydependingonage,sex,breedandtypeofanimal,soequa

6、tionssuchastheRichardsandLópezaregenerallyrecommended.Fordescribingretentionrateagainstdailyintake,whichgenerallydoesnotexhibitaninflexionpoint,themonomolecularwouldappearthefunctionofchoice.Keywords:growthfunctions;poultry;growth;age;intakeIntroductionPoultryi

7、ndustriesfacevariousdecisionsintheproductioncyclethatincludenutrientandmineralsupplytobirds,costandtypeoffeedandarangeofbirdhealth,welfareandenvironmentalissuesthataffecttheprofitabilityofanoperation.Predictionofgrowthandidentifyingthetimesofmaximumgrowthratean

8、dwhenthebirdsarereadyforsaleareimportantfactorsthatcontributetotheprofitabilityofpoultryoperations.Traditionally,mathematicalfunctionscalled‘growthfunctions’havebeenusedtorelatebody

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