Table 3.

Maximum-likelihood estimates of two species competition parameters under different microbial treatments. Standard errors included when estimation was possible. Parameters constrained to [0, 5] for λ and [−5, 5] for α.

microbial treatment						model log-likelihood				model log-likelihood
rhizosphere soil		biocrust presence	species i (B. eriopoda) fitted parameters ± s.e.				species j (B. gracilis) fitted parameters ± s.e.
provenance	sterilize		λi	αii	αij		λj	αjj	αji
BOER	live	no crust	0.016 ± 0.004	−0.203 ± 0.014	0.539 ± 0.236	78.982	0.519 ± 0.128	0.374 ± 0.159	0.035 ± 0.091	40.137
BOGR	live	no crust	0.028 ± 0.016	0.150 ± 0.241	0.344 ± 0.382	65.778	2.659 ± 2.014	5.000 ± 4.105	1.305 ± 1.178	52.491
BOER	sterile	no crust	0.048 ± 0.027	0.190 ± 0.383	2.322 ± 2.134	76.886	0.581 ± 0.287	0.306 ± 0.305	0.130 ± 0.222	9.865
BOGR	sterile	no crust	0.020 ± 0.006	−0.106 ± 0.026	0.360 ± 0.232	82.207	0.260 ± 0.074	0.123 ± 0.113	0.042 ± 0.077	39.682
BOER	live	crust	0.078 ± 0.028	0.195 ± 0.295	1.691 ± 1.307	62.180	0.369 ± 0.101	0.151 ± 0.106	0.044 ± 0.109	33.191
BOGR	live	crust	0.029 ± 0.015	−0.122 ± 0.104	0.350 ± 0.380	48.617	0.743 ± 0.378	0.841 ± 0.631	0.366 ± 0.283	41.521
BOER	sterile	crust	0.051 ± 0.016	−0.112 ± 0.037	1.023 ± 0.715	62.740	0.892 ± 0.286	0.601 ± 0.289	0.126 ± 0.117	36.738
BOGR	sterile	crust	0.011	−0.150	−0.001	47.810	0.714 ± 0.224	0.495 ± 0.290	0.219 ± 0.162	23.131