Calc Male & Female Cattle Pop Growth Rates: 30 Heifers, 100% Fert/Surv

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SUMMARY

The discussion focuses on estimating male and female cattle population growth rates from an initial stock of 30 heifers, all 18 months old, with a 100% fertility and survival rate. Calves are born every two years starting when the mother is 27 months old, with a gender ratio of 50% male and 50% female. The user seeks to develop formulas for calculating the growth rates of both male and female populations over five and ten-year periods. Although the user has resolved their immediate query, they express interest in the site's potential for future inquiries.

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  • Understanding of basic population growth models
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  • Familiarity with statistical analysis and growth rate calculations
  • Basic algebra for formula derivation
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Agricultural scientists, livestock managers, and anyone involved in cattle breeding and population management will benefit from this discussion.

audax1
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I want to estimate the number of male and female cattle produced over a period of time (say, five years and ten years) from an initial stock of 30 heifers, all 18 months of age at which age they are first joined (mated). Assume that the first calf is born when the mother is 27 months old. Thereafter, a new calf is born every two years. Assume also 100% fertility and survival, new-born calves are 50% male, 50% female and all females are joined at 18 months.

If all calves were female, a birth every two years would be a population growth rate of 50% pa and the calculation would be simple but I don't know how to devise the formulae for female population growth rate and male population growth rate. Can you help?
 
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It appears that nobody is interested in this topic so I'll close it down. I actually have a much more complicated scenario than I've described and I worked it all out manually so I now don't need any help.

But this looks to be a really useful and interesting site. I'm sure I'll be back.
 

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