Table 1.

Models of AIV persistence associated with water incubated with live Daphnia and water without Daphnia through time^a

Model	Functional form	Kb	Adjusted R2	Log σ̂2d	ΔAICc	wi
By treatment
Modified exponential decay	AIV = {aCW × exp[(bCW/(X + cCW)]} + {aDW × exp[bDW/(X + cDW)]}	6	0.76	9.91	0.00c	0.93
Exponential decay	AIV = [aCW + bCW × exp(−cCW × X)] + [aDW + bDW × exp(−cDW × X)]	6	0.75	9.99	5.26	0.07
	AIV = [aCW × exp(−bCW × X)] + [aDW × exp(−bDW × X)]	4	0.70	10.17	13.11	0.00
Linear	AIV = (aCW + bCW × X) + (aDW + bDW × X)	4	0.37	10.92	64.08	0.00
Pooled
Modified exponential decay	AIV = a × exp[b/(X + c)]	3	0.42	10.99	66.51	0.00
Exponential decay	AIV = a + b × exp(−c × X)	3	0.42	10.99	66.66	0.00
	AIV = a × exp(−b × X)	2	0.26	11.26	82.83	0.00
Linear	AIV = a + b × X	2	0.16	11.38	90.72	0.00

^aShown are models of AIV persistence associated with water incubated with live Daphnia (DW) and water without Daphnia (CW) through time (X, in minutes). Strength of support for each model is inferred by AIC_c model weight (w_i). We considered linear (2-parameter) relationships, exponential decay functions (2 and 3 parameters), and a modified exponential decay function (3 parameters) fitted to pooled data and data separated by treatment.

^bNumber of parameters.

^cAIC_c = 687.17.

^dLog of the estimated variance.