Ecological Archives M071-007-A1

Maria N. Miriti, S. Joseph Wright, Henry F. Howe. 2001. The effects of neighbors on the demography of a dominant desert shrub (Ambrosia dumosa). Ecological Monographs 71:491-509.


Appendix A. Transition matrices.

Stage at time t is presented across the rows, and stage at time t+1 is presented down columns.
 
Size class at

time t+1

Size class at time t
Juvenile I
Juvenile II
Juvenile III
Reproductive I
Reproductive II
Reproductive III
1984-1989 Neighbor present at time t and t+1
Juvenile I
0.3367
0.3239
0.3071
0.3209 
0.6401
1.2134
Juvenile II
0.0272
0.0845
0.0682
0.0000
0.0000
0.0000
Juvenile III
0.0289
0.1831
0.4199
0.0000
0.0000
0.0000
Reproductive I
0.0000
0.0000
0.0472
0.5393
0.2241
0.0263
Reproductive II
0.0000
0.0000
0.0026
0.1854
0.4540
0.3070
Reproductive III
0.0000
0.0000
0.0000
0.0337
0.1264
0.4035
1984-1989 Neighbor present at time t but absent at t+1
Juvenile I
0.3367
0.3239
0.3071
0.2145
0.4279
0.8111
Juvenile II
0.0272
0.0845
0.0682
0.0112
0.0000
0.0000
Juvenile III
0.0289
0.1831
0.4199
0.0787
0.0230
0.0000
Reproductive I
0.0000
0.0000
0.0472
0.1236
0.0517
0.0175
Reproductive II
0.0000
0.0000
0.0026
0.0169
0.1092
0.0614
Reproductive III
0.0000
0.0000
0.0000
0.0000
0.0057
0.1404

 
 
1984-1989 Neighbor absent at time t and at t+1
Juvenile I
0.2296
0.3312
0.3103
0.2350
0.4279
0.8111
Juvenile II
0.0211
0.0390
0.0854
0.0051
0.0028
0.0000
Juvenile III
0.0079
0.0649
0.4187
0.1513
0.0056
0.0051
Reproductive I
0.0013
0.0000
0.0263
0.6513
0.2381
0.0152
Reproductive II
0.0000
0.0000
0.0016
0.1282
0.5714
0.2278
Reproductive III
0.0000
0.0000
0.0016
0.0026
0.1401
0.7114
1984-1989 Neighbor absent at time t but present at t+1
Juvenile I
0.2296
0.3312
0.3103
0.3209 
0.6401
1.2134
Juvenile II
0.0211
0.0390
0.0854
0.0000
0.0000
0.0000
Juvenile III
0.0079
0.0649
0.4187
0.0000
0.0000
0.0000
Reproductive I
0.0013
0.0000
0.0263
0.0205
0.0028
0.0000
Reproductive II
0.0000
0.0000
0.0016
0.0077
0.0112
0.0127
Reproductive III
0.0000
0.0000
0.0016
0.0000
0.0056
0.0177

 
 
 
 
Size class at

time t+1

Size class at time t
Juvenile I
Juvenile II
Juvenile III
Reproductive I
Reproductive II
Reproductive III
1989-1994 Neighbor present at time t and t+1
Juvenile I
0.0880
0.0550
0.0074
0.0088 
0.0183
0.0299
Juvenile II
0.0445
0.0092
0.0148
0.0000
0.0000
0.0000
Juvenile III
0.1982
0.4679
0.4444
0.0000
0.0000
0.0000
Reproductive I
0.0081
0.0550
0.2926
0.4242
0.1605
0.0482
Reproductive II
0.0000
0.0000
0.0222
0.1333
0.3272
0.1807
Reproductive III
0.0010
0.0000
0.0037
0.0303
0.1605
0.2892
1989-1994 Neighbor present at time t but absent at t+1
Juvenile I
0.0880
0.0550
0.0074
0.0080
0.0166
0.0272
Juvenile II
0.0445
0.0092
0.0148
0.0000
0.0062
0.0000
Juvenile III
0.1982
0.4679
0.4444
0.0485
0.0247
0.0241
Reproductive I
0.0081
0.0550
0.2926
0.1455
0.0432
0.0482
Reproductive II
0.0000
0.0000
0.0222
0.0788
0.1914
0.0964
Reproductive III
0.0010
0.0000
0.0037
0.0121
0.0432
0.2048

 
 
1989-1994 Neighbor absent at time t and at t+1
Juvenile I
0.1018
0.0256
0.0172
0.0080 
0.0166
0.0272
Juvenile II
0.0383
0.0342
0.0147
0.0049
0.0000
0.0000
Juvenile III
0.1888
0.5299
0.4804
0.0392
0.0186
0.0085
Reproductive I
0.0044
0.0940
0.3235
0.6152
0.2207
0.0570
Reproductive II
0.0000
0.0000
0.0123
0.1740
0.4894
0.2792
Reproductive III
0.0000
0.0000
0.0025
0.0172
0.1543
0.5755
1989-1994 Neighbor absent at time t but present at t+1
Juvenile I
0.1018
0.0256
0.0172
0.0088
0.0183
0.0299
Juvenile II
0.0383
0.0342
0.0147
0.0000
0.0000
0.0000
Juvenile III
0.1888
0.5299
0.4804
0.0000
0.0000
0.0000
Reproductive I
0.0044
0.0940
0.3235
0.0123
0.0133
0.0000
Reproductive II
0.0000
0.0000
0.0123
0.0392
0.0426
0.0171
Reproductive III
0.0000
0.0000
0.0025
0.0025
0.0027
0.0114


1984-1989 Combined matrix. Entries for combined models include transitions between size classes and between neighbor status.

Size class at time t+1

Size class at time t
Neighbor
Isolated
Juvenile I
Juvenile II
Juvenile III
Reproductive I
Reproductive II
Reproductive III
Juvenile I
Juvenile II
Juvenile III
Reproductive I
Reproductive II
Reproductive III
Neighbor Juvenile I
0.3044
0.2958
0.2448
0.3209
0.6401
1.2134
0.0132
0.0000
0.0099
0.3209
0.6401
1.2222
Juvenile II
0.0221
0.0845
0.0599
0.0000
0.0000
0.0000
0.0013
0.0000
0.0033
0.0000
0.0000
0.0000
Juvenile III
0.0238
0.1268
0.3490
0.0000
0.0000
0.0000
0.0000
0.0000
0.0230
0.0000
0.0000
0.0000
Reproductive I
0.0000
0.0000
0.0469
0.5393
0.2241
0.0263
0.0013
0.0000
0.0263
0.0205
0.0028
0.0000
Reproductive II
0.0000
0.0000
0.0026
0.1854
0.4540
0.3070
0.0000
0.0000
0.0016
0.0077
0.0112
0.0127
Reproductive III
0.0000
0.0000
0.0000
0.0337
0.1264
0.4035
0.0000
0.0000
0.0016
0.0000
0.0056
0.0177
Isolated Juvenile I
0.0323
0.0282
0.0599
0.2145
0.4279
0.8111
0.2161
0.3290
0.3005
0.2350
0.4279
0.8111
Juvenile II
0.0051
0.0000
0.0078
0.0112
0.0000
0.0000
0.0198
0.0387
0.0821
0.0051
0.0028
0.0000
Juvenile III
0.0051
0.0563
0.0677
0.0787
0.0230
0.0000
0.0079
0.0645
0.3957
0.1513
0.0056
0.0051
Reproductive I
0.0000
0.0000
0.0000
0.1236
0.0517
0.0175
0.0000
0.0000
0.0000
0.6513
0.2381
0.0152
Reproductive II
0.0000
0.0000
0.0000
0.0169
0.1092
0.0614
0.0000
0.0000
0.0000
0.1282
0.5714
0.2278
Reproductive III
0.0000
0.0000
0.0000
0.0000
0.0057
0.1404
0.0000
0.0000
0.0000
0.0026
0.1401
0.7114


1989-1994 Combined matrix.

Size class at time t+1

Size class at time t
Neighbor
Isolated
Juvenile I
Juvenile II
Juvenile III
Reproductive I
Reproductive II
Reproductive III
Juvenile I
Juvenile II
Juvenile III
Reproductive I
Reproductive II
Reproductive III
Neighbor Juvenile I
0.0759
0.0550
0.0074
0.0088
0.0183
0.0299
0.0209
0.0000
0.0025
0.0088
0.0183
0.0299
Juvenile II
0.0425
0.0092
0.0148
0.0000
0.0000
0.0000
0.0097
0.0000
0.0025
0.0000
0.0000
0.0000
Juvenile III
0.1569
0.3945
0.3815
0.0000
0.0000
0.0000
0.0737
0.0513
0.0515
0.0000
0.0000
0.0000
Reproductive I
0.0000
0.0000
0.0000
0.4242
0.1605
0.0482
0.0000
0.0000
0.0000
0.0123
0.0133
0.0000
Reproductive II
0.0000
0.0000
0.0000
0.1333
0.3272
0.1807
0.0000
0.0000
0.0000
0.0392
0.0426
0.0171
Reproductive III
0.0000
0.0000
0.0000
0.0303
0.1605
0.2892
0.0000
0.0000
0.0000
0.0025
0.0027
0.0114
Isolated Juvenile I
0.0121
0.0000
0.0000
0.0080
0.0166
0.0272
0.0786
0.0256
0.0147
0.0080
0.0166
0.0272
Juvenile II
0.0051
0.0000
0.0000
0.0000
0.0062
0.0000
0.0285
0.0342
0.0123
0.0049
0.0000
0.0000
Juvenile III
0.0405
0.0734
0.0630
0.0485
0.0247
0.0241
0.2072
0.4786
0.4289
0.0392
0.0186
0.0085
Reproductive I
0.0081
0.0550
0.2926
0.1455
0.0432
0.0482
0.0181
0.0940
0.3235
0.6152
0.2207
0.0570
Reproductive II
0.0000
0.0000
0.0222
0.0788
0.1914
0.0964
0.0028
0.0000
0.0123
0.1740
0.4894
0.2792
Reproductive III
0.0000
0.0000
0.0037
0.0121
0.0432
0.2048
0.0014
0.0000
0.0025
0.0172
0.1543
0.5755


[Back to M071-007]