Appendix E. A table of transition matrices, sensitivity matrices, and lambdas for each species, population, and yearly transition interval.
TABLE E1. Transition matrices, sensitivity matrices, and lambdas for each species, population, and yearly transition interval. Bias-corrected 95% confidence intervals for lambda given in parentheses below each value. Stage class abbreviations as follows: Sm. nr. = small non-reproductive, Lg. nr. = large non-reproductive, and Repro. = reproductive.
Transition matrix |
Sensitivity matrix |
Lambda |
||||||||
Seed |
Sm. nr. |
Lg. nr. |
Repro. |
Seed |
Sm. nr. |
Lg. nr. |
Repro. |
(95% CI) |
||
M. cardinalis, Buck Meadows (830 m), 2000 2001 |
||||||||||
Seed |
0.2128 |
0 |
2038 |
9624 |
0.28 |
0.00 |
0.00 |
0.00 |
0.6867 |
|
Sm. nr. |
2.49e-5 |
0 |
0 |
0 |
0.00 |
0.00 |
0.00 |
0.00 |
(0.4939 1.0229) |
|
Lg. nr. |
3.74e-5 |
0 |
0.3529 |
0.5000 |
3644.30 |
0.12 |
0.49 |
0.08 |
||
Repro. |
8.31e-7 |
0 |
0.0588 |
0.2778 |
11017.98 |
0.37 |
1.48 |
0.23 |
||
M. cardinalis, Buck Meadows (830 m), 2001 2002 |
||||||||||
Seed |
0.1840 |
376 |
720 |
1340 |
0.13 |
0.00 |
0.00 |
0.00 |
0.6486 |
|
Sm. nr. |
2.14e-5 |
0.0345 |
0.0104 |
0 |
1150.63 |
0.05 |
0.30 |
0.23 |
(0.5050 0.8321) |
|
Lg. nr. |
2.14e-5 |
0.2759 |
0.3229 |
0.2632 |
1598.05 |
0.06 |
0.41 |
0.31 |
||
Repro. |
0 |
0.1034 |
0.1979 |
0.3684 |
2107.65 |
0.08 |
0.54 |
0.42 |
||
M. cardinalis, Buck Meadows (830 m), 2002 2003 |
||||||||||
Seed |
0.1840 |
0 |
144 |
916 |
0.05 |
0.00 |
0.00 |
0.00 |
0.5527 |
|
Sm. nr. |
3.93e-6 |
0 |
0 |
0 |
40.04 |
0.00 |
0.02 |
0.01 |
(0.4103 0.6839) |
|
Lg. nr. |
2.23e-5 |
0.0303 |
0.3662 |
0.2069 |
730.40 |
0.01 |
0.35 |
0.24 |
||
Repro. |
0 |
0 |
0.0704 |
0.4483 |
1842.39 |
0.01 |
0.89 |
0.60 |
||
M. cardinalis, Buck Meadows (830 m), pooled |
||||||||||
Seed |
0.19 |
441 |
1262 |
3636 |
0.20 |
0.00 |
0.00 |
0.00 |
0.6819 |
|
Sm. nr. |
2.25e-5 |
0.0139 |
0.0043 |
0 |
852.02 |
0.03 |
0.16 |
0.06 |
(0.5586 0.9197) |
|
Lg. nr. |
3.26e-5 |
0.1250 |
0.3447 |
0.3725 |
2348.15 |
0.08 |
0.44 |
0.17 |
||
Repro. |
3.46e-7 |
0.0417 |
0.1191 |
0.3431 |
4611.84 |
0.16 |
0.87 |
0.33 |
||
M. cardinalis, Rainbow Pool (833 m), 2000 2001 |
||||||||||
Seed |
0.1858 |
0 |
77 |
668 |
0.03 |
0.00 |
0.00 |
0.00 |
0.5720 |
|
Sm. nr. |
5.76e-5 |
0.2606 |
0.0643 |
0.0076 |
112.57 |
0.05 |
0.14 |
0.05 |
(0.4870 0.6447) |
|
Lg. nr. |
1.57e-5 |
0.0904 |
0.4143 |
0.3106 |
387.57 |
0.17 |
0.47 |
0.17 |
||
Repro. |
1.16e-6 |
0 |
0.0500 |
0.4318 |
1025.48 |
0.45 |
1.24 |
0.45 |
||
M. cardinalis, Rainbow Pool (833 m), 2001 2002 |
||||||||||
Seed |
0.1859 |
8 |
280 |
1279 |
0.05 |
0.00 |
0.00 |
0.00 |
0.6329 |
|
Sm. nr. |
2.39e-5 |
0.1152 |
0.0051 |
0 |
224.78 |
0.01 |
0.08 |
0.06 |
(0.5298 0.7264) |
|
Lg. nr. |
1.66e-5 |
0.1264 |
0.3299 |
0.3205 |
866.14 |
0.04 |
0.31 |
0.23 |
||
Repro. |
7.10e-7 |
0.0028 |
0.1066 |
0.4872 |
2325.09 |
0.12 |
0.84 |
0.63 |
||
M. cardinalis, Rainbow Pool (833 m), 2002 2003 |
||||||||||
Seed |
0.1840 |
0 |
28 |
1210 |
0.08 |
0.00 |
0.00 |
0.00 |
0.4724 |
|
Sm. nr. |
1.82e-4 |
0.0143 |
0.0149 |
0 |
12.98 |
0.01 |
0.01 |
0.00 |
(0.3383 0.6118) |
|
Lg. nr. |
1.59e-4 |
0.0429 |
0.1940 |
0.2258 |
138.75 |
0.06 |
0.11 |
0.03 |
||
Repro. |
0 |
0 |
0.0100 |
0.4355 |
3626.63 |
1.54 |
2.95 |
0.80 |
||
M. cardinalis, Rainbow Pool (833 m), pooled |
||||||||||
Seed |
0.19 |
3 |
125 |
1003 |
0.06 |
0.00 |
0.00 |
0.00 |
0.5494 |
|
Sm. nr. |
5.44e-5 |
0.1345 |
0.0242 |
0.0037 |
135.12 |
0.02 |
0.07 |
0.04 |
(0.4892 0.6293) |
|
Lg. nr. |
2.39e-5 |
0.0994 |
0.3011 |
0.2941 |
530.03 |
0.09 |
0.27 |
0.16 |
||
Repro. |
1.08e-6 |
0.0015 |
0.0558 |
0.4485 |
2163.43 |
0.35 |
1.11 |
0.64 |
||
M. cardinalis, Wawona (1208 m), 2000 2001 |
||||||||||
Seed |
0.2315 |
5612 |
38931 |
133773 |
0.26 |
0.00 |
0.00 |
0.00 |
1.2458 |
|
Sm. nr. |
2.43e-5 |
0.0559 |
0.0125 |
0 |
5756.07 |
0.11 |
0.03 |
0.03 |
(1.0321 1.6302) |
|
Lg. nr. |
2.94e-6 |
0.0721 |
0.3625 |
0.0805 |
34402.93 |
0.69 |
0.18 |
0.18 |
||
Repro. |
2.90e-7 |
0.0342 |
0.2375 |
0.8161 |
85839.69 |
1.71 |
0.46 |
0.45 |
||
M. cardinalis, Wawona (1208 m), 2001 2002 |
||||||||||
Seed |
0.2056 |
2778 |
26853 |
87287 |
0.22 |
0.00 |
0.00 |
0.00 |
1.0758 |
|
Sm. nr. |
2.01e-5 |
0.0702 |
0.0511 |
0 |
4850.19 |
0.10 |
0.04 |
0.03 |
(0.9125 1.2492) |
|
Lg. nr. |
3.06e-6 |
0.1020 |
0.2482 |
0.1488 |
26185.17 |
0.56 |
0.20 |
0.18 |
||
Repro. |
1.82e-7 |
0.0234 |
0.2263 |
0.7355 |
68353.84 |
1.45 |
0.52 |
0.48 |
||
M. cardinalis, Wawona (1208 m), 2002 2003 |
||||||||||
Seed |
0.1840 |
241 |
1739 |
14790 |
0.05 |
0.00 |
0.00 |
0.00 |
0.6997 |
|
Sm. nr. |
1.10e-5 |
0.1437 |
0.0338 |
0 |
1597.38 |
0.03 |
0.05 |
0.05 |
(0.6249 0.7723) |
|
Lg. nr. |
1.68e-6 |
0.1106 |
0.3768 |
0.2055 |
5761.54 |
0.13 |
0.19 |
0.18 |
||
Repro. |
0 |
0.0101 |
0.0725 |
0.6164 |
23649.95 |
0.52 |
0.76 |
0.73 |
||
M. cardinalis, Wawona (1208 m), pooled |
||||||||||
Seed |
0.20 |
1980 |
14162 |
65242 |
0.18 |
0.00 |
0.00 |
0.00 |
0.9516 |
|
Sm. nr. |
2.05e-5 |
0.1018 |
0.0354 |
0 |
4134.11 |
0.09 |
0.04 |
0.04 |
(0.8004 1.2202) |
|
Lg. nr. |
2.90e-6 |
0.0954 |
0.3325 |
0.1554 |
19419.87 |
0.44 |
0.19 |
0.17 |
||
Repro. |
1.60e-7 |
0.0214 |
0.1533 |
0.7062 |
60660.41 |
1.36 |
0.60 |
0.53 |
||
M. cardinalis, Carlon (1320 m), 2000 2001 |
||||||||||
Seed |
0.2239 |
936 |
14496 |
41089 |
0.19 |
0.00 |
0.00 |
0.00 |
1.0657 |
|
Sm. nr. |
3.77e-5 |
0.0339 |
0.0769 |
0 |
1542.89 |
0.06 |
0.02 |
0.02 |
(0.8718 1.2853) |
|
Lg. nr. |
3.70e-6 |
0.0435 |
0.4231 |
0.1316 |
18821.10 |
0.74 |
0.22 |
0.29 |
||
Repro. |
7.41e-7 |
0.0174 |
0.2692 |
0.7632 |
34177.90 |
1.34 |
0.40 |
0.53 |
||
M. cardinalis, Carlon (1320 m), 2001 2002 |
||||||||||
Seed |
0.1840 |
1209 |
20127 |
67161 |
0.19 |
0.00 |
0.00 |
0.00 |
1.1629 |
|
Sm. nr. |
3.14e-5 |
0.0615 |
0.0244 |
0 |
2911.97 |
0.10 |
0.03 |
0.03 |
(0.9368 1.3592) |
|
Lg. nr. |
3.46e-6 |
0.1154 |
0.3537 |
0.0909 |
19582.40 |
0.65 |
0.21 |
0.21 |
||
Repro. |
0 |
0.0154 |
0.2561 |
0.8545 |
46798.48 |
1.56 |
0.51 |
0.50 |
||
M. cardinalis, Carlon (1320 m), 2002 2003 |
||||||||||
Seed |
0.2015 |
99 |
3396 |
24261 |
0.21 |
0.00 |
0.00 |
0.00 |
1.0345 |
|
Sm. nr. |
3.92e-5 |
0.0062 |
0 |
0 |
227.58 |
0.01 |
0.01 |
0.01 |
(0.8351 1.4926) |
|
Lg. nr. |
3.94e-5 |
0.0372 |
0.2951 |
0.1343 |
3991.16 |
0.15 |
0.24 |
0.10 |
||
Repro. |
5.49e-7 |
0.0031 |
0.1066 |
0.7612 |
20896.41 |
0.80 |
1.25 |
0.54 |
||
M. cardinalis, Carlon (1320 m), pooled |
||||||||||
Seed |
0.21 |
893 |
10987 |
48924 |
0.23 |
0.00 |
0.00 |
0.00 |
1.1365 |
|
Sm. nr. |
3.98e-5 |
0.0349 |
0.0174 |
0 |
1093.43 |
0.04 |
0.03 |
0.02 |
(0.9153 1.5427) |
|
Lg. nr. |
1.68e-5 |
0.0574 |
0.3304 |
0.1188 |
9807.98 |
0.34 |
0.24 |
0.15 |
||
Repro. |
4.72e-7 |
0.0145 |
0.1783 |
0.7938 |
31924.84 |
1.10 |
0.78 |
0.49 |
||
M. lewisii, Wawona (1208 m), 2000 2001 |
||||||||||
Seed |
0.0280 |
0 |
0 |
23488 |
0.00 |
0.00 |
0.00 |
0.00 |
0.7778 |
|
Sm. nr. |
1.39e-5 |
0 |
0 |
0 |
0.00 |
0.00 |
0.00 |
0.00 |
(0.5714 0.9474) |
|
Lg. nr. |
1.64e-6 |
0 |
0.5000 |
0.0556 |
0.00 |
0.00 |
0.00 |
0.00 |
||
Repro. |
0 |
0 |
0 |
0.7778 |
31326.54 |
0.52 |
0.37 |
1.00 |
||
M. lewisii, Wawona (1208 m), 2001 2002 |
||||||||||
Seed |
0.0280 |
0 |
9754 |
11379 |
0.02 |
0.00 |
0.00 |
0.00 |
0.6772 |
|
Sm. nr. |
3.97e-6 |
0 |
0 |
0 |
0.00 |
0.00 |
0.00 |
0.00 |
(0.4286 0.8848) |
|
Lg. nr. |
7.95e-7 |
0 |
0.2857 |
0.1429 |
17874.01 |
0.11 |
0.31 |
0.75 |
||
Repro. |
0 |
0 |
0.4286 |
0.5000 |
15825.64 |
0.09 |
0.28 |
0.67 |
||
M. lewisii, Wawona (1208 m), 2002 2003 |
||||||||||
Seed |
0.0280 |
0 |
1782 |
9505 |
0.00 |
0.00 |
0.00 |
0.00 |
0.8953 |
|
Sm. nr. |
6.34e-6 |
0.2000 |
0 |
0 |
0.00 |
0.00 |
0.00 |
0.00 |
(0.6315 – 1.0084) |
|
Lg. nr. |
1.59e-5 |
0 |
0.5500 |
0.2000 |
0.00 |
0.00 |
1.00 |
0.00 |
||
Repro. |
0 |
0 |
0.1500 |
0.8000 |
0.00 |
0.00 |
1.09 |
0.00 |
||
M. lewisii, Wawona (1208 m), pooled |
||||||||||
Seed |
0.03 |
0 |
423 |
19468 |
0.02 |
0.00 |
0.00 |
0.00 |
0.7892 |
|
Sm. nr. |
8.80e-6 |
0.0303 |
0 |
0 |
0.00 |
0.00 |
0.00 |
0.00 |
(0.6464 0.9069) |
|
Lg. nr. |
1.35e-6 |
0 |
0.5500 |
0.1190 |
12146.64 |
0.15 |
0.29 |
0.44 |
||
Repro. |
0 |
0 |
0.1500 |
0.6905 |
18780.73 |
0.23 |
0.45 |
0.69 |
||
M. lewisii, Carlon (1320 m), 2000 2001 |
||||||||||
Seed |
0.0353 |
719 |
2810 |
13588 |
0.14 |
0.00 |
0.00 |
0.00 |
0.9056 |
|
Sm. nr. |
4.32e-5 |
0.0909 |
0.0263 |
0 |
1777.84 |
0.10 |
0.17 |
0.07 |
(0.7854 1.1713) |
|
Lg. nr. |
1.05e-5 |
0.2727 |
0.5132 |
0.3248 |
3913.68 |
0.22 |
0.38 |
0.16 |
||
Repro. |
3.08e-7 |
0.0303 |
0.1184 |
0.5726 |
9355.43 |
0.51 |
0.92 |
0.38 |
||
M. lewisii, Carlon (1320 m), 2001 2002 |
||||||||||
Seed |
0.0280 |
0 |
1350 |
12680 |
0.03 |
0.00 |
0.00 |
0.00 |
0.6856 |
|
Sm. nr. |
8.89e-6 |
0.0476 |
0 |
0 |
814.53 |
0.01 |
0.05 |
0.04 |
(0.6000 0.7597) |
|
Lg. nr. |
2.78e-6 |
0.1224 |
0.4528 |
0.2500 |
4243.66 |
0.06 |
0.29 |
0.19 |
||
Repro. |
0 |
0 |
0.0629 |
0.5909 |
15083.28 |
0.21 |
1.01 |
0.67 |
||
M. lewisii, Carlon (1320 m), 2002 2003 |
||||||||||
Seed |
0.0611 |
953 |
3540 |
21336 |
0.29 |
0.00 |
0.00 |
0.00 |
1.0242 |
|
Sm. nr. |
4.63e-5 |
0.0769 |
0.0286 |
0 |
760.31 |
0.04 |
0.08 |
0.02 |
(0.7301 1.5829) |
|
Lg. nr. |
7.80e-5 |
0.0256 |
0.2000 |
0.1296 |
2933.13 |
0.15 |
0.29 |
0.08 |
||
Repro. |
8.90e-7 |
0.0256 |
0.0952 |
0.5741 |
14471.03 |
0.75 |
1.45 |
0.38 |
||
M. lewisii, Carlon (1320 m), pooled |
||||||||||
Seed |
0.04 |
238 |
2385 |
15124 |
0.17 |
0.00 |
0.00 |
0.00 |
0.8582 |
|
Sm. nr. |
3.12e-5 |
0.0594 |
0.0168 |
0 |
753.57 |
0.03 |
0.08 |
0.03 |
(0.7044 1.0948) |
|
Lg. nr. |
2.92e-5 |
0.1279 |
0.4111 |
0.2587 |
3495.90 |
0.15 |
0.35 |
0.13 |
||
Repro. |
3.80e-7 |
0.0091 |
0.0913 |
0.5792 |
12508.15 |
0.54 |
1.26 |
0.45 |
||
M. lewisii, May Lake (2690 m), 2000 2001 |
||||||||||
Seed |
0.0326 |
0 |
24199 |
89430 |
0.06 |
0.00 |
0.00 |
0.00 |
1.0452 |
|
Sm. nr. |
3.77e-6 |
0.0467 |
0.0625 |
0 |
1223.63 |
0.01 |
0.01 |
0.01 |
(0.9865 1.1135) |
|
Lg. nr. |
1.24e-6 |
0.0272 |
0.6094 |
0.0652 |
44857.24 |
0.19 |
0.21 |
0.45 |
||
Repro. |
4.77e-8 |
0 |
0.2500 |
0.9239 |
71653.11 |
0.30 |
0.34 |
0.72 |
||
M. lewisii, May Lake (2690 m), 2001 2002 |
||||||||||
Seed |
0.0280 |
749 |
17896 |
65717 |
0.08 |
0.00 |
0.00 |
0.00 |
1.0746 |
|
Sm. nr. |
7.46e-6 |
0.0860 |
0 |
0 |
7444.59 |
0.07 |
0.05 |
0.10 |
(0.9655 1.1170) |
|
Lg. nr. |
2.91e-7 |
0.2366 |
0.6081 |
0.0286 |
28737.00 |
0.29 |
0.19 |
0.40 |
||
Repro. |
0 |
0.0108 |
0.2568 |
0.9429 |
46572.94 |
0.47 |
0.31 |
0.65 |
||
M. lewisii, May Lake (2690 m), 2002 2003 |
||||||||||
Seed |
0.0302 |
0 |
8543 |
34830 |
0.02 |
0.00 |
0.00 |
0.00 |
0.9335 |
|
Sm. nr. |
4.88e-6 |
0.0566 |
0.0260 |
0 |
1690.77 |
0.01 |
0.02 |
0.04 |
(0.8824 0.9726) |
|
Lg. nr. |
5.90e-7 |
0.0755 |
0.5714 |
0.1017 |
19644.13 |
0.12 |
0.19 |
0.46 |
||
Repro. |
5.37e-8 |
0 |
0.2078 |
0.8475 |
33020.79 |
0.20 |
0.31 |
0.78 |
||
M. lewisii, May Lake (2690 m), pooled |
||||||||||
Seed |
0.03 |
124 |
16586 |
63041 |
0.05 |
0.00 |
0.00 |
0.00 |
0.9989 |
|
Sm. nr. |
6.49e-6 |
0.0569 |
0.0279 |
0 |
2890.15 |
0.02 |
0.02 |
0.04 |
(0.9618 1.0427) |
|
Lg. nr. |
7.79e-7 |
0.0801 |
0.5953 |
0.0667 |
32769.37 |
0.23 |
0.19 |
0.47 |
||
Repro. |
3.46e-8 |
0.0018 |
0.2372 |
0.9016 |
52199.73 |
0.37 |
0.30 |
0.75 |
||
M. lewisii, Warren Fork (2750 m), 2000 2001 |
||||||||||
Seed |
0.0280 |
0 |
22612 |
99899 |
0.11 |
0.00 |
0.00 |
0.00 |
1.0238 |
|
Sm. nr. |
5.55e-5 |
0.125 |
0.0909 |
0 |
0.00 |
0.00 |
0.00 |
0.00 |
(0.8922 1.1739) |
|
Lg. nr. |
3.51e-6 |
0 |
0.5152 |
0.1639 |
31787.47 |
2.01 |
0.30 |
0.25 |
||
Repro. |
0 |
0 |
0.1818 |
0.8033 |
74860.17 |
4.73 |
0.71 |
0.59 |
||
M. lewisii, Warren Fork (2750 m), 2001 2002 |
||||||||||
Seed |
0.0404 |
990 |
29380 |
112532 |
0.17 |
0.00 |
0.00 |
0.00 |
1.3319 |
|
Sm. nr. |
2.36e-5 |
0.2358 |
0.0345 |
0 |
4890.49 |
0.11 |
0.06 |
0.04 |
(1.1712 1.5479) |
|
Lg. nr. |
3.88e-6 |
0.1992 |
0.5862 |
0.0755 |
23923.73 |
0.55 |
0.30 |
0.19 |
||
Repro. |
1.02e-7 |
0.0081 |
0.2414 |
0.9245 |
52172.25 |
1.19 |
0.64 |
0.42 |
||
M. lewisii, Warren Fork (2750 m), 2002 2003 |
||||||||||
Seed |
0.0280 |
0 |
8286 |
78268 |
0.08 |
0.00 |
0.00 |
0.00 |
0.9793 |
|
Sm. nr. |
3.63e-5 |
0.1149 |
0.0230 |
0 |
1741.48 |
0.07 |
0.03 |
0.02 |
(0.8939 1.0597) |
|
Lg. nr. |
9.26e-7 |
0.0920 |
0.6609 |
0.1286 |
16370.48 |
0.70 |
0.32 |
0.17 |
||
Repro. |
0 |
0 |
0.0862 |
0.8143 |
52039.61 |
2.22 |
1.01 |
0.53 |
||
M. lewisii, Warren Fork (2750 m), pooled |
||||||||||
Seed |
0.03 |
528 |
15064 |
96077 |
0.14 |
0.00 |
0.00 |
0.00 |
1.1377 |
|
Sm. nr. |
3.41e-5 |
0.1840 |
0.0340 |
0 |
3112.45 |
0.12 |
0.05 |
0.03 |
(1.0231 1.2597) |
|
Lg. nr. |
223e-6 |
0.1505 |
0.6241 |
0.1250 |
17649.46 |
0.66 |
0.31 |
0.15 |
||
Repro. |
2.69e-8 |
0.0046 |
0.1321 |
0.8424 |
51934.62 |
1.93 |
0.91 |
0.44 |