(2) Fecundity table: If we know the reproductive productivity of each age class of females (mx), we can construct a fecundity table. Specifically, for our data, mx = the mean number of female young produced by each female of age x. For this table, "fill in the blanks" below.

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x lx mx lxmx xlxmx

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0.5 1.000 0.05. 0.050. 0.025

1.5 0.253 1.28 0.324 0.486

2.5 0.106 2.28 0.24168 0.6042

3.5 0.0736 2.28 0.168 0.588

4.5 0.043 2.28 0.098 0.441

5.5 0.0226 2.28 0.0515 0.283

6.5 0.0094 2.28 0.0214 0.1391

7.5 0.0038 2.28 0.0086 .0645

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From this table calculate R0, the net reproductive rate (the avg. no. of female offspring produced per female in her lifetime) by summing the lxmx column. Thus, R0 = lxmx. You should also estimate "r", the instantaneous, per capita rate of increase, from the following formula:

r = (lnR0)/Tc

where Tc = mean cohort generation time, = (xlxmx)/R0.

What is your estimate for R0?_____0.96318_____ What is your estimate for r?__-.0347______ (These should be calculated to 3 decimal places). Note that a more accurate way to calculate r (given a stable age distrubution) is from the formula derived by the 18th century French mathematician, Leonard Eler:

lxmxe-rx = 1

Because there is no easy way to "isolate" r on one side of this equation, it is solved by iteration. Simply put, you estimate r, calculate the left side of the equation, and see if it equals 1. If it doesn't, you modify your original estimate of r and try again and again until you get the left side to equal 1. This is easily done using a computer program, but it is NOT REQUIRED!!

(3) Reproductive value: The life table and fecundity table provide the data needed to calculate the reproductive values of females age x in the population. The reproductive value (vx) is the relative number of female offspring that remain to be born (on average!) to each female of age x. In other words, it is the (relative) number of offspring that will be produced (on average) by a female from age x until the end of her life. At birth vx = 1. It can be calculated from the following formula:

vx = (e-rylymy)/(e-rxlx)

Thus, you should fill in the following table:

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x lx e-rx e-rxlx e-rxlxmx e-rylymy vx

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0.5. 1.000 1.007 1.007 0.050 0.999 0.992

1.5. 0.253

2.5 0.106

3.5. 0.0736

4.5 0.043

5.5 0.0226

6.5. 0.0094

7.5 0.0038

The final table is what needs filling out, please dont respond with the x nx lx dx qx Lx Tx ex table as I already have that done