PLANT ECOLOGY LAB: Plant Demography Data
 Archbold Biological Station, P.O. Box 2057, Lake Placid, Florida 33862 USA
Phone: 863-465-2571    FAX: 863-699-1927    Email: archbold@archbold-station.org

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Hypericum cumulicola matrices, Appendix 1, Conservation Biology 2003.
Quintana-Ascencio, P.F., Menges, E. S., and C. W. Weekley. 2003. A fire-explicit population viability analysis of Hypericum cumulicola in Florida rosemary scrub. Conservation Biology 17:433-449. Appendix 1, Matrices Used.

Metadata

  1. Originators. Quintana-Ascencio, Pedro Francisco, Eric S. Menges, Carl, W. Weekley,
  2. Abstract. Stochastic and deterministic matrix population models based on six censuses (1994-1999) and data from several germination and seedling survival experiments were used to compare H. cumulicola demography and extinction probabilities under different fire regimes in Florida rosemary scrub.
  3. Key words. Hypericum cumulicola, matrices, fire
  4. Period of study. 1994-1998
  5. Source of funding. This work was supported by Fulbright and Consejo Nacional de Ciencia y Tecnología (Mexican Government), through a fellowship (46610); El Colegio de la Frontera Sur, San Cristóbal de Las Casas, Chiapas, Mexico; Archbold Biological Station, State University of New York-Stony Brook, The National Science Foundation (DEB98-15370), The Florida Division of Forestry’s Plant Conservation Program, and Center for Plant Conservation.
  6. Data set status and accessibility. Ongoing project (2002)
  7. These data are freely available (Type I). They should be cited as: Quintana-Ascencio, P.F., Menges, E. S., and C. W. Weekley. 2003. A fire- explicit population viability analysis of Hypericum cumulicola in Florida rosemary scrub. Conservation Biology 17:433-449. The originators will appreciate being informed of any use these data.
  8. Variable information. For each population and year combination, we built a matrix model (Caswell 1989) with the form n(t+1) = An(t), where n(t) and n(t+1) are vectors whose elements, ai, are the number of individuals that belong to the ith category at time t and t+1, respectively. A is the population-projection matrix, whose elements, aij, represent the transitions or contributions from individuals in the jth category to the ith category after one time step. To construct projection matrices, we defined six life-history stages by combining morphologically defined stages (e.g., vegetative vs. reproductive plants) with divisions based on size: (1) seeds in the seed bank; (2) a single stage of first-year plants (seedlings) at census time; (3) a single vegetative stage, and three reproductive classes (4) small flowering individuals, 12-33 cm tall; (5) medium flowering individuals, 34-50 cm; and (6) large flowering individuals, >50 cm.

Appendix 1. Projection matrices of H. cumulicola at Archbold Biological Station. The first five matrices represent populations 1-2 years postfire, with only seedlings present.
Fire year
seeds seedlings vegetative small rep medium rep large rep
seeds 0.62810 0.000 0.000 0.000 0.000 0.000
seedlings 0.00000 0.000 0.000 0.000 0.000 0.000
vegetative 0.00000 0.000 0.000 0.000 0.000 0.000
small rep 0.00000 0.000 0.000 0.000 0.000 0.000
medium rep 0.00000 0.000 0.000 0.000 0.000 0.000
large rep 0.00000 0.000 0.000 0.000 0.000 0.000
Site 32, 1997, 1 year postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.62810 0.000 0.000 0.000 0.000 0.000
seedlings 0.00731 0.000 0.000 0.000 0.000 0.000
vegetative 0.00000 0.000 0.000 0.000 0.000 0.000
small rep 0.00000 0.000 0.000 0.000 0.000 0.000
medium rep 0.00000 0.000 0.000 0.000 0.000 0.000
large rep 0.00000 0.000 0.000 0.000 0.000 0.000
Site 32, 1998, 2 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.62810 0.000 0.000 0.000 0.000 0.000
seedlings 0.00005 0.000 0.000 0.000 0.000 0.000
vegetative 0.00000 0.409 0.000 0.000 0.000 0.000
small rep 0.00000 0.318 0.000 0.000 0.000 0.000
medium rep 0.00000 0.205 0.000 0.000 0.000 0.000
large rep 0.00000 0.000 0.000 0.000 0.000 0.000
n 44
Site 42, 1994, 2 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.62810 15.864 0.000 0.000 0.000 0.000
seedlings 0.00044 1.463 0.000 0.000 0.000 0.000
vegetative 0.00000 0.138 0.000 0.000 0.000 0.000
small rep 0.00000 0.563 0.000 0.000 0.000 0.000
medium rep 0.00000 0.250 0.000 0.000 0.000 0.000
large rep 0.00000 0.038 0.000 0.000 0.000 0.000
n 80
Site 50, 1994, 2 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.65040 11.710 0.000 0.000 0.000 0.000
seedlings 0.00067 0.507 0.000 0.000 0.000 0.000
vegetative 0.00000 0.058 0.000 0.000 0.000 0.000
small rep 0.00000 0.315 0.000 0.000 0.000 0.000
medium rep 0.00000 0.426 0.000 0.000 0.000 0.000
large rep 0.00000 0.080 0.000 0.000 0.000 0.000
n 101
Site 57, 1994, 2 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.65040 12.670 0.000 0.000 0.000 0.000
seedlings 0.00064 0.000 0.000 0.000 0.000 0.000
vegetative 0.00000 0.313 0.000 0.000 0.000 0.000
small rep 0.00000 0.094 0.000 0.000 0.000 0.000
medium rep 0.00000 0.405 0.000 0.000 0.000 0.000
large rep 0.00000 0.108 0.000 0.000 0.000 0.000
n 64
Site 42, 1995, 3 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.62810 0.000 0.000 55.047 252.825 570.636
seedlings 0.00330 0.000 0.000 0.108 0.496 1.865
vegetative 0.00000 0.175 0.273 0.022 0.000 0.042
small rep 0.00000 0.775 0.545 0.533 0.200 0.042
medium rep 0.00000 0.050 0.091 0.378 0.500 0.353
large rep 0.00000 0.000 0.000 0.067 0.200 0.426
n 20(46) 11 45 20 3(18)
Site 50, 1995, 3 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.65040 0.000 0.000 65.553 592.029 913.836
seedlings 0.00495 0.000 0.000 1.430 12.918 14.955
vegetative 0.00000 0.234 0.333 0.063 0.093 0.125
small rep 0.00000 0.317 0.333 0.281 0.116 0.125
medium rep 0.00000 0.317 0.167 0.438 0.419 0.250
large rep 0.00000 0.000 0.000 0.063 0.140 0.375
n 10(25) 6 32 43 8
Site 57, 1995, 3 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.65040 0.000 0.000 30.905 294.774 4247.645
seedlings 0.00476 0.000 0.000 3.187 30.398 62.576
vegetative 0.00000 0.121 0.500 0.333 0.077 0.000
small rep 0.00000 0.376 0.100 0.000 0.038 0.000
medium rep 0.00000 0.191 0.300 0.500 0.462 0.143
large rep 0.00000 0.250 0.100 0.167 0.423 0.571
n 4(39) 20 6 26 7
Site 42, 1996, 4 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.62810 0.000 0.000 53.910 229.424 691.503
seedlings 0.00079 0.000 0.000 0.011 0.045 0.136
vegetative 0.00000 0.250 0.500 0.085 0.065 0.000
small rep 0.00000 0.417 0.400 0.745 0.645 0.250
medium rep 0.00000 0.278 0.000 0.043 0.161 0.500
large rep 0.00000 0.000 0.000 0.000 0.000 0.000
n 0(13) 10 47 31 8
Site 50, 1996, 4 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.65040 0.000 0.000 65.498 255.974 0.000
seedlings 0.00118 0.000 0.000 0.000 0.000 0.000
vegetative 0.00000 0.250 0.250 0.143 0.050 0.000
small rep 0.00000 0.417 0.000 0.190 0.100 0.000
medium rep 0.00000 0.278 0.000 0.000 0.050 0.000
large rep 0.00000 0.000 0.000 0.000 0.000 0.000
n 0(13) 8 21 40 11
Site 57, 1996, 4 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.65040 0.000 0.000 158.722 207.938 2048.369
seedlings 0.00114 0.000 0.000 0.009 0.011 0.111
vegetative 0.00000 0.250 0.643 0.159 0.217 0.053
small rep 0.00000 0.417 0.071 0.478 0.217 0.105
medium rep 0.00000 0.278 0.071 0.014 0.435 0.421
large rep 0.00000 0.000 0.000 0.083 0.043 0.158
n 0(13) 14 4(72) 23 19
Site 42, 1997, 5 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.62810 0.000 0.000 70.862 262.499 0.000
seedlings 0.01301 0.000 0.000 0.157 0.580 0.000
vegetative 0.00000 0.000 0.091 0.045 0.067 0.000
small rep 0.00000 0.472 0.636 0.591 0.200 0.000
medium rep 0.00000 0.250 0.091 0.182 0.333 0.000
large rep 0.00000 0.000 0.000 0.000 0.067 0.000
n 4(20) 11 66 15 0
Site 50, 1997, 5 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.65040 0.000 0.000 80.671 238.505 1013.616
seedlings 0.01956 0.000 0.000 6.626 19.589 83.246
vegetative 0.00000 0.000 0.000 0.036 0.038 0.000
small rep 0.00000 0.167 0.250 0.286 0.000 0.000
medium rep 0.00000 0.250 0.750 0.357 0.346 0.000
large rep 0.00000 0.000 0.000 0.036 0.077 0.084
n 20 8 28 26 1(7)
Site 57, 1997, 5 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.65040 0.000 0.000 107.843 456.750 1013.506
seedlings 0.01879 0.000 0.000 0.025 0.108 0.238
vegetative 0.00000 0.000 0.500 0.231 0.192 0.000
small rep 0.00000 0.472 0.000 0.000 0.154 0.000
medium rep 0.00000 0.250 0.188 0.538 0.269 0.000
large rep 0.00000 0.000 0.000 0.154 0.115 0.167
n 4(20) 16 13 26 6
Site 42, 1998, 6 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.62810 0.000 0.000 54.672 270.784 298.486
seedlings 0.00009 0.000 0.000 0.009 0.044 0.048
vegetative 0.00000 0.000 0.192 0.071 0.115 0.000
small rep 0.00000 0.714 0.154 0.514 0.269 0.033
medium rep 0.00000 0.000 0.108 0.129 0.462 0.278
large rep 0.00000 0.000 0.000 0.000 0.038 0.000
n 7 5(23) 70 26 2(21)
Site 50, 1998, 6 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.65040 0.000 0.000 55.485 201.181 547.095
seedlings 0.00014 0.000 0.000 0.000 0.000 0.000
vegetative 0.00000 0.281 0.192 0.033 0.050 0.000
small rep 0.00000 0.368 0.154 0.433 0.100 0.033
medium rep 0.00000 0.158 0.108 0.367 0.325 0.278
large rep 0.00000 0.000 0.000 0.000 0.050 0.000
n 57 2(23) 30 40 3(21)
Site 57, 1998, 6 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.65040 0.000 0.000 48.093 318.304 646.263
seedlings 0.00014 0.000 0.000 0.000 0.000 0.000
vegetative 0.00000 0.107 0.375 0.125 0.160 0.000
small rep 0.00000 0.036 0.063 0.125 0.080 0.100
medium rep 0.00000 0.000 0.125 0.125 0.120 0.000
large rep 0.00000 0.000 0.000 0.000 0.040 0.000
n 28 16 8 25 10
Site 67, 1994, 8 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.82370 0.000 0.000 63.007 262.708 753.530
seedlings 0.00013 0.000 0.000 0.000 0.000 0.000
vegetative 0.00000 0.028 0.000 0.000 0.000 0.000
small rep 0.00000 0.119 0.200 0.161 0.000 0.000
medium rep 0.00000 0.036 0.100 0.129 0.115 0.000
large rep 0.00000 0.107 0.100 0.032 0.000 0.000
n 1(18) 10 31 26 6
Site 87, 1994, 8 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.82370 0.000 0.000 102.770 309.597 753.777
seedlings 0.00013 0.000 0.000 0.038 0.113 0.275
vegetative 0.00000 0.111 0.142 0.054 0.077 0.029
small rep 0.00000 0.333 0.255 0.108 0.077 0.000
medium rep 0.00000 0.000 0.148 0.324 0.423 0.391
large rep 0.00000 0.000 0.022 0.054 0.115 0.086
n 9 5(62) 37 26 1(20)
Site 88, 1994, 8 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.82370 0.000 0.000 128.237 586.941 753.866
seedlings 0.00012 0.000 0.000 0.158 0.726 0.000
vegetative 0.00000 0.000 0.142 0.000 0.000 0.029
small rep 0.00000 0.143 0.255 0.074 0.000 0.000
medium rep 0.00000 0.143 0.148 0.204 0.000 0.391
large rep 0.00000 0.429 0.022 0.000 0.000 0.086
n 7 4(62) 54 15 0(20)
Site 91, 1994, 8 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.74890 0.000 0.000 168.494 384.465 680.415
seedlings 0.00013 0.000 0.000 0.048 0.109 0.193
vegetative 0.00000 0.028 0.142 0.069 0.000 0.143
small rep 0.00000 0.119 0.255 0.379 0.059 0.000
medium rep 0.00000 0.036 0.148 0.345 0.206 0.286
large rep 0.00000 0.107 0.022 0.000 0.176 0.429
n 0(18) 5(62) 29 34 7
Site 45, 1994, 8 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.82370 0.000 0.000 95.875 271.615 708.628
seedlings 0.00008 0.000 0.000 0.041 0.117 0.305
vegetative 0.00000 0.028 0.250 0.147 0.000 0.029
small rep 0.00000 0.119 0.313 0.353 0.000 0.000
medium rep 0.00000 0.036 0.219 0.176 0.545 0.391
large rep 0.00000 0.107 0.031 0.088 0.273 0.086
n 0(18) 32 34 11 3(20)
Site 29, 1994, 9 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.89850 0.000 0.000 105.935 364.034 874.294
seedlings 0.00021 0.000 0.000 0.017 0.056 0.132
vegetative 0.00000 0.028 0.000 0.000 0.000 0.029
small rep 0.00000 0.119 0.167 0.000 0.000 0.000
medium rep 0.00000 0.036 0.167 0.087 0.000 0.391
large rep 0.00000 0.107 0.000 0.000 0.000 0.086
n 1(18) 6 23 22 3(20)
Site 67, 1995, 9 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.82370 0.000 0.000 72.625 371.207 767.863
seedlings 0.00098 0.000 0.000 0.000 0.000 0.000
vegetative 0.00000 0.224 0.107 0.231 0.000 0.013
small rep 0.00000 0.240 0.340 0.308 0.308 0.000
medium rep 0.00000 0.224 0.131 0.231 0.231 0.350
large rep 0.00000 0.034 0.009 0.077 0.077 0.128
n 15(103) 5 13 13 4(38)
Site 87, 1995, 9 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.82370 0.000 0.000 123.803 397.823 840.680
seedlings 0.00088 0.000 0.000 0.000 0.000 0.000
vegetative 0.00000 0.162 0.111 0.188 0.000 0.000
small rep 0.00000 0.207 0.111 0.125 0.091 0.000
medium rep 0.00000 0.058 0.000 0.030 0.030 0.125
large rep 0.00000 0.000 0.000 0.000 0.000 0.000
n 7(95) 9 16 33 8
Site 88, 1995, 9 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.82370 0.000 0.000 192.835 791.939 0.000
seedlings 0.00087 0.000 0.000 0.511 2.100 0.000
vegetative 0.00000 0.162 0.107 0.000 0.000 0.000
small rep 0.00000 0.564 0.340 0.278 0.000 0.000
medium rep 0.00000 0.129 0.131 0.333 0.556 0.000
large rep 0.00000 0.000 0.009 0.056 0.222 0.000
n 7(95) 4(45) 18 18 0
Site 91, 1995, 9 years postfire
seeds seedlings vegetative small rep medium rep large rep
seeds 0.74890 0.000 0.000 109.819 308.872 460.794
seedlings 0.00097 0.000 0.000 0.088 0.249 0.372
vegetative 0.00000 0.177 0.000 0.130 0.114 0.067
small rep 0.00000 0.322 0.167 0.217 0.029 0.000
medium rep 0.00000 0.171 0.000 0.217 0.343 0.333
large rep 0.00000 0.032 0.000 0.087 0.171 0.267
n 0(50) 6 23 35 15
Site 45, 1995, 9 years postfire
seeds seedlings vegetative small rep medium rep large rep