Table 1 Model parameters with units and values used in simulations
Parameters | Units | Simulation values |
|---|---|---|
\({\rho }_{\mathrm{max}}:\) maximum carbon uptake rate | d−1 | 1 |
\({\alpha }_{\mathrm{max}}\): maximum attack rate of mixotroph on bacteria | cm2 \(\cdot\) d−1 \(\cdot\) cellM−1 | \(0.15\cdot {10}^{-8}\) |
b: conversion rate of bacteria to mixotroph | cellM \(\cdot\) cellB−1 | 0.15 |
\({K}_{B}\): carrying capacity for bacteria | cellB \(\cdot\) cm−2 | \(1\cdot {10}^{8}\)–\(3\cdot {10}^{8}\) |
r: growth rate of bacteria | d−1 | 0.693 |
h: half saturation constant for photosynthesis | µmol quanta \(\cdot\) m−2 \(\cdot\) s−1 | 250 |
\({I}_{\mathrm{in}}\) \(:\) incident light | µmol quanta \(\cdot\) m−2 \(\cdot\) s−1 | 100, 150 |
\(k\): mixotroph light absorbance constant | cm2 \(\cdot\) cellM−1 | \(5\cdot {10}^{-7}\) |
\(l:\) mixotroph mortality rate | d−1 | 0.05 |
\({m}_{\rho }:\) photosynthetic temperature sensitivity coefficient | °C−1 | 0.1 |
\({m}_{\alpha }\): heterotrophic temperature sensitivity coefficient | °C−1 | 0.25 |
\({T}_{0\rho }\): minimum temperature for photosynthesis | °C | 3 |
\({T}_{0\alpha }\): minimum temperature for phagotrophy | °C | 9 |
\(z\): trade-off parameter | – | − 1, 0, 1 |
\(T\): temperature | °C | 13–33 |
Variables | ||
M: mixotrophs | CellM \(\cdot\) cm−2 | |
B: bacterial prey | CellB \(\cdot\) cm−2 | |
\(\theta :\) investment | – | |
t: time | d |