Table 1 Parameters.

From: Host control and the evolution of cooperation in host microbiomes

Parameter

Description

a

Investment in cooperation by the host.

b

Investment in cooperation by symbionts.

B

Expression of trait associated with cooperation by symbionts.

c

Investment in symbiont control by the host.

f

Cost of host control on symbionts: captures how much symbiont population size is reduced by control, which will indirectly affect the host by reducing its benefits.

g

Cost of control to host e.g. physiological cost of an immune system.

H(a, c)

Probability density of host individuals with cooperation level a and control level c.

S(b)

Probability density of symbiont genotypes with cooperation level b.

M

Rate of microbial immigration each host generation from a fixed environmental source population (proportion of resident population).

m

Rate of environmental microbe immigration each symbiont generation within the host.

pa

Effect of partner fidelity feedback on host individuals.

pb

Effect of partner fidelity feedback on symbionts.

q

Effect of host control on symbionts.

W

Fitness of focal individual.

x

Benefit to hosts of receiving symbiont cooperation.

y

Benefit to symbionts of receiving hosts cooperation.

R

Relatedness among symbionts (genetic similarity in the host within a species relative to the population mean).