Ecology Life Tables 2

Ecology Life Tables 2 - Life Tables Life Made Easy Sample...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Life Tables Life Made Easy? Sample Problem Sample Find the gross reproductive rate, the net Find gross the reproductive rate, px and qx. Would r be reproductive predicted to be positive, negative or zero? predicted Given the nx column at age zero, project the population for one year and calculate the proportion of individuals in each age class (cx) proportion for both years. for Life Tables Age, x 0 1 2 3 4 5 lx 0 3.0 3.5 3.5 3.0 0 px qx lxmx nx cx nx cx at t = 0 at 1.00 0.12 0.10 0.06 0.04 0.02 mx at t = 0 at at t = 1 at at t = 1 at 80 10 8 6 4 0 ∑ nx = 108 108 Life Tables Age, x Age, lx mx px 0 1.00 0 = 0.12/1.00 1 0.12 3.0 = 0.10/0.12 2 3 4 5 0.10 0.06 0.04 0.02 3.5 3.5 3.0 0 = 0.06/0.10 = 0.04/0.06 = 0.02/0.04 = 0/0.02 Life Tables Age, x Age, lx mx px 0 1.00 0 = 0.12 1 0.12 3.0 = 0.833 2 3 4 5 0.10 0.06 0.04 0.02 3.5 3.5 3.0 0 = 0.6 = 0.666 = 0.5 =0 Life Tables Age, x Age, lx mx px qx 0 1.00 0 0.12 = 1 – 0.12 1 0.12 3.0 0.833 =1 – 0.833 2 3 4 5 0.10 0.06 0.04 0.02 3.5 3.5 3.0 0 0.6 0.666 0.5 0 = 1 – 0.6 = 1 – 0.666 = 1 – 0.5 =1–0 Life Tables Age, x Age, lx mx px qx 0 1.00 0 0.12 = 0.88 1 0.12 3.0 0.833 = 0.167 2 3 4 5 0.10 0.06 0.04 0.02 3.5 3.5 3.0 0 0.6 0.666 0.5 0 = 0.4 = 0.334 = 0.5 =1 Life Tables Age, x 0 1 2 3 4 5 lx mx 1.00 0.12 0.10 0.06 0.04 0.02 0 3.0 3.5 3.5 3.0 0 px qx 0.12 0.88 0.833 0.167 0.6 0.4 0.666 0.334 0.5 0.5 0 1 lx mx = 1.00 * 0 = 0.12 * 3.0 = 0.10 * 3.5 = 0.06 * 3.5 = 0.04 * 3.0 = 0.02 * 0 Life Tables Age, x 0 1 2 3 4 5 lx mx 1.00 0.12 0.10 0.06 0.04 0.02 0 3.0 3.5 3.5 3.0 0 px qx 0.12 0.88 0.833 0.167 0.6 0.4 0.666 0.334 0.5 0.5 0 1 lx mx =0 = 0.36 = 0.35 = 0.21 = 0.12 =0 Life Tables Age, x 0 1 2 3 4 5 lx mx px qx 1.00 0.12 0.10 0.06 0.04 0.02 0 3.0 3.5 3.5 3.0 0 GRR = 13 0.12 0.833 0.6 0.666 0.5 0 0.88 0.167 0.4 0.334 0.5 1 lx mx 0 0.36 0.35 0.21 0.12 0 R0 = 1.04 Life Tables Age, x 0 1 2 3 4 5 mx 0.12 0.833 0.6 0.666 0.5 0 nx cx at t = 0 at 0 3.0 3.5 3.5 3.0 0 px at t = 0 at 80 10 8 6 4 0 ∑ nx = 108 108 = 80/108 = 10/108 = 8/108 = 6/108 = 4/108 -- Life Tables Age, x 0 1 2 3 4 5 mx 0.12 0.833 0.6 0.666 0.5 0 nx cx at t = 0 at 0 3.0 3.5 3.5 3.0 0 px at t = 0 at 80 10 8 6 4 0 ∑ nx = 108 108 = 0.74 = 0.093 = 0.74 = 0.55 = 0.37 =0 Life Tables Age, x 0 1 2 3 4 5 mx 0.12 0.833 0.6 0.666 0.5 0 nx nx at t = 0 at 0 3.0 3.5 3.5 3.0 0 px at t = 1 at 80 10 8 6 4 0 ∑ nx = 108 108 Complicated. = 0.12 * 80 = 0.833 * 10 = 0.6 * 8 0.6 = 0.666 * 6 = 0.5 * 4 0.5 Life Tables Age, x 0 1 2 3 4 5 mx 0.12 0.833 0.6 0.666 0.5 0 nx nx at t = 0 at 0 3.0 3.5 3.5 3.0 0 px at t = 1 at 80 10 8 6 4 0 ∑ nx = 108 108 Wait for it... = 9.6 = 8.33 = 4.8 4.8 = 3.996 =2 Calculating n0 at t = 1 Calculating This calculation requires using the fertility and This multiplying it times the number of females in each age class. We will leave out the block we are calculating for now, as well as zero values. calculating Age, mx nx att t = 1 mx * nx a Age, x 1 3.0 9.6 = 28.8 2 3.5 8.33 = 29.155 3 4 3.5 3.0 4.8 3.996 = 16.8 = 11.988 5 0 2 =0 Then add that together = 86.743 Calculating n0 at t = 1 Calculating Due to the fact that the other values are zero, Due they do not need to be calculated. they Repeat calculation of cx at t = 1…and we are Repeat DONE!! DONE!! Life Tables Age, x lx mx px qx lx mx nx cx nx cx at t = 0 at at t = 0 at at t = 1 at at t = 1 at 0 1.00 0 0.12 0.88 0 80 0.74 86.743 0.76 1 0.12 3.0 0.833 0.167 0.36 10 0.093 9.6 0.10 2 0.10 3.5 0.6 0.4 0.35 8 0.074 8.33 0.059 3 0.06 3.5 0.666 0.334 0.21 6 0.055 4.8 4.8 0.049 4 0.04 3.0 0.5 0.5 0.12 4 0.037 3.996 0.024 5 0.02 0 0 1 0 0 0 2 0 GRR = GRR 13 13 R0 = 1.04 1.04 ∑ nx = 108 108 107.14 ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online