Could someone help with question 3? I\'m not sure how to find the \"R o \" for t
ID: 2908261 • Letter: C
Question
Could someone help with question 3? I'm not sure how to find the "Ro" for this, or how to calculate it. An explanation would be great!
Thanks!
Life Table for a Cohort of Black-tailed Prairie Dogs (Cynomys ludovicianus) born in 1981 in Wind Cave National Park, South Dakota. Data from Hoogland (1995; pg. 395) Age inx Years | (# at dx | (# dying start of duringship) lx x'mx ! (probability of dying (survivor- | (age-specific ! (realized fecundity) fecundity) interval) interval) interval Males 0.000 0.000 1.857 2.000 7.500 11.500 0.00 0.00 0.581 0.268 0.225 0.345 67 1.000 0.612 0.192 0.571 0.778 0.00 21 0.31 26 0.000 1419 0.000 0.577 0.596 Females 0.596 0.000 0.143 1.632 1.143 1.429 3.250 2.500 0.000 0.000 1000 04040.092 0.263 635 0.270 0.135 0.077 0.038 0.019 0.019 0.000 0.500 0492 0.50 0.50 0.00 1.00 0.193 0.250 0.95 0.00 0.00 2. Sketch both survivorship curves using the lx values you calculated. Do male and female prairie dogs have similar survivorship curves? 3. Calculate the net reproductive rate, Ro, for male and female prairie dogs by summing the realized fecundity at each age interval, x 'mux. Use the average Ro for males and females to estimate the population net reproductive rate. Based on this value, is the prairie dog population stable, declining, or increasing?Explanation / Answer
When it comes to the calculation of Ro, we just need the data for females because they give birth to a child so while calculating Ro, just consider the female data nothing else.
Now the fields required to calculate Ro are, lx(Survivorship Rate) and mx(Mortality Rate)
Now for given data on nx(no. of females per age group):
lx = nx / no , where nx = number of females at age group x
mx = 1 - ( nx+1 / nx )
The table below shows the required calculation:
Net reproductive rate, Ro = ? lxmx. Average number of offspring produced by an individual in its lifetime, taking normal mortality into account. lx is the odds of living to age x, mx is the average no. of kids produced at that age, so the product lxmx is the average number of kids produced by individuals of age x. Summed across all ages, this is average lifetime reproduction.
Now, Net Reproductive Rate(Ro) is given by Sum(lx * mx)
The table below shows the calculation for Ro:
Interpretation for Ro:
Ro is also called the replacement rate:
Ro < 1 individuals not fully replacing themselves, population shrinking
Ro = 1 individual exactly replacing themselves, population size stable
Ro > 1 individuals more than replacing themselves, population growing
The schedule of reproduction (mx curve) can be used to determine the generation time, T.
CONCLUSION :
Since we obtain Ro = 1, so we conclude that the individual is exactly replacing themselves. Therefore the population size is stable.
THANK YOU...
Age nx lx mx 0 52 1 0.596 1 21 0.404 0.095 2 19 0.365 0.263 3 14 0.269 0.500 4 7 0.135 0.429 5 4 0.077 0.500 6 2 0.038 0.500 7 1 0.019 0.000 8 1 0.019 1.000 >=9 0 0.000 ~