30.2 Plant–Microbe Interaction Model Equations
NA(t) ¼ NA(t À dt) + (DEL_NA) * dt
INIT NA ¼ 10
INFLOWS:
DEL_NA ¼ RA * NA * (1+ALPHA_A * Delay(SA, 1)+BETA_A * Delay(SB, 1)À
(NA+CB * NB)/KA) * DT
NB(t) ¼ NB(t À dt) + (DEL_NB) * dt
INIT NB ¼ 10
INFLOWS:
DEL_NB ¼ RB * NB * (1+ALPHA_B * Delay(SA, 1)+BETA_B * Delay(SB, 1)À(NB
+CA * NA)/KB) * DT
SA(t) ¼ SA(t À dt) + (DEL_SA) * dt
INIT SA ¼ 0.5
INFLOWS:
DEL_SA ¼ SA * (1ÀSA) * (L * NA/(NA+NB)ÀV * NB/(NA+NB)) * DT
SB(t) ¼ SB(t À dt) + (DEL_SB) * dt
INIT SB ¼ TOTAL_SÀSA
INFLOWS:
DEL_SB ¼ ÀDEL_SA
ALPHA_A ¼ À0.03
ALPHA_B ¼ 0.1
BETA_A ¼ 0.1
BETA_B ¼ À0.2
CA ¼ 0.885
CB ¼ 0.98
IS ¼ ALPHA_AÀALPHA_BÀBETA_A+BETA_B
KA ¼ 100
KB ¼ 120
L ¼ 1
RA ¼ 0.7
RB ¼ 0.5
TOTAL_S ¼ 1
V ¼ 0.8
References
1. Bever JD (2003) Soil community feedback and the coexistence of competitors: conceptual
frameworks and empirical tests. New Phytol 157(3):465–473
2. Fukami T, Nakajima M (2013) Complex plant-soil interactions enhance plant species diversity
by delaying community convergence. J Ecol 101(2):316–324
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30 Plant–Microbe Interaction