Life Table Analysis for a Small Wallaby

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Molar Index

Skull ID MI Age
bsw01 1.6 1
bsw02 1.7 2
bsw03 1.8 2
bsw04 2.1 2
bsw05 2.1 2
bsw06 2.2 3
bsw07 2.3 3
bsw08 2.4 3
bsw09 2.5 3
bsw10 2.5 3
bsw11 2.5 3
bsw12 2.5 3
bsw13 2.6 4
bsw14 2.7 4
bsw15 2.8 5
bsw16 2.8 5
bsw17 2.8 5
bsw18 2.9 5
bsw19 2.9 5
bsw21 2.9 5
bsw22 2.9 5
bsw23 2.9 5
bsw24 2.9 5
bsw26 3.0 6
bsw27 3.0 6
bsw28 3.1 6
bsw29 3.2 7
bsw30 3.3 7
bsw31 3.3 7
bsw32 3.3 7
bsw33 3.4 8
bsw34 3.4 8
bsw35 3.4 8
bsw36 3.4 8
bsw37 3.6 10
bsw39 3.6 10
bsw40 3.7 11
bsw41 3.7 11
bsw42 3.7 11
bsw43 3.8 12
bsw44 3.9 13
bsw45 3.9 13
bsw46 3.9 13
bsw47 4.0 14
bsw48 4.0 14
bsw49 4.0 14
bsw50 4.0 14
bsw51 4.1 15
bsw52 4.4 18

Life Table

Life Table for black-striped wallabies (Macropus dorsalis) based on skulls collected at the Brigalow Research Station, Queensland
Actual Numbers of skulls at each age Age in Years (x) Age interval (yrs) Number surviving (nx) Proportion surviving (lx) Deaths at each age interval (dx) Mortality rate (qx) Number surviving at agex at last birthday (bx) Expectation of Further Life (ex) in yrs
0 0 0 - 1 49 1 0 0 49 7.7244897959
1 1 1 - 2 49 1 1 0.0204081633 48.5 6.7244897959
4 2 2 - 3 48 0.9795918367 4 0.0833333333 46 5.8541666667
7 3 3 - 4 44 0.8979591837 7 0.1590909091 40.5 5.3409090909
2 4 4 - 5 37 0.7551020408 2 0.0540540541 36 5.2567567568
9 5 5 - 6 35 0.7142857143 9 0.2571428571 30.5 4.5285714286
3 6 6 - 7 26 0.5306122449 3 0.1153846154 24.5 4.9230769231
4 7 7 - 8 23 0.4693877551 4 0.1739130435 21 4.5
4 8 8 - 9 19 0.387755102 4 0.2105263158 17 4.3421052632
0 9 9 - 10 15 0.306122449 0 0 15 4.3666666667
2 10 10 - 11 15 0.306122449 2 0.1333333333 14 3.3666666667
3 11 11 - 12 13 0.2653061224 3 0.2307692308 11.5 2.8076923077
1 12 12 - 13 10 0.2040816327 1 0.1 9.5 2.5
3 13 13 - 14 9 0.1836734694 3 0.3333333333 7.5 1.7222222222
4 14 14 - 15 6 0.1224489796 4 0.6666666667 4 1.3333333333
1 15 15 - 16 2 0.0408163265 1 0.5 1.5 2
0 16 16 - 17 1 0.0204081633 0 0 1 2.5
0 17 17 - 18 1 0.0204081633 0 0 1 1.5
1 18 18 + 1 0.0204081633 1 1 0.5 0.5
Log nx
1.690
1.690
1.681
1.643
1.568
1.544
1.415
1.362
1.279
1.176
1.176
1.114
1.000
0.954
0.778
0.301
0.000
0.000
0.000

Life Table

1
0.9429429429
0.8213213213
0.7102102102
0.6381381381
0.5915915916
0.5105105105
0.4294294294
0.3843843844
0.2942942943
0.2252252252
0.1861861862
0.1666666667
0.1096096096
0.0660660661
0.027027027
0.024024024
0.009009009
0.0045045045
Proportion surviving (lx)
Proportion surviving (lx) (White (2004)
Age (years)
Proportion surviving (lx)
Figure A: Proportion of M. dorsalisSurviving (lx)

Data from White (2004)

Age
Logarithm of survival
Figure C: Survivorship Curve for M. dorsalis
0.0570570571
0.1289808917
0.1352833638
0.1014799154
0.0729411765
0.1370558376
0.1588235294
0.1048951049
0.234375
0.2346938776
0.1733333333
0.1048387097
0.3423423423
0.397260274
0.5909090909
0.1111111111
0.625
0.5
1
Mortality rate (qx)
Mortality rate (qx) from White (2004)
Age (years)
Mortality rate (qx)
Figure B: Mortality rate (qx) for M. dorsalis
Actual Numbers of skulls at each age Age in Years (x) Age interval (yrs) Number surviving (nx) Proportion surviving (lx) (White (2004) Deaths at each age interval (dx) Mortality rate (qx) from White (2004) Number surviving at agex at last birthday Expectation of Further Life (ex) in yrs
38 0 0 - 1 666 1.000 38 0.1 647 6.6
81 1 1 - 2 628 0.943 81 0.1 588 6.0
74 2 2 - 3 547 0.821 74 0.1 510 5.8
48 3 3 - 4 473 0.710 48 0.1 449 5.7
31 4 4 - 5 425 0.638 31 0.1 410 5.2
54 5 5 - 6 394 0.592 54 0.1 367 4.6
54 6 6 - 7 340 0.511 54 0.2 313 4.3
30 7 7 - 8 286 0.429 30 0.1 271 4.0
60 8 8 - 9 256 0.384 60 0.2 226 3.4
46 9 9 - 10 196 0.294 46 0.2 173 3.3
26 10 10 - 11 150 0.225 26 0.2 137 3.1
13 11 11 - 12 124 0.186 13 0.1 118 2.7
38 12 12 - 13 111 0.167 38 0.3 92 1.9
29 13 13 - 14 73 0.110 29 0.4 59 1.7
26 14 14 - 15 44 0.066 26 0.6 31 1.5
2 15 15 - 16 18 0.027 2 0.1 17 1.9
10 16 16 - 17 16 0.024 10 0.6 11 1.1
3 17 17 - 18 6 0.009 3 0.5 5 1.0
3 18 18 + 3 0.005 3 1.0 2 0.5