Asset protection in juvenile salmon: how adding biological realism changes a dynamic foraging model

The "asset-protection principle" created by Clark is based ona dynamic programming model and states that individuals should(1) become more averse to predation risk as they accumulatefitness assets but (2) generally be more willing to acceptpredation risk later in the foraging season. To test whetherthese predictions hold under biologically meaningful foragingparameters, I constructed a dynamic model of the optimal trade-offbetween foraging and predator avoidance in juvenile salmon.The model incorporates temperature and body-size dependentbio-energetic constraints typical for juvenile fish, whichgrow by orders of magnitude over a season. In its simplestform using seasonally constant growth potential and a linearover-winter survival function, my results equal those of Clark'smodel. Adding a fitness function and environmental data fromfield studies accentuates the asset-protection effect and fundamentallychanges the seasonal pattern of optimal effort. Simulationof typical poor feeding conditions in mid-summer yields theprediction of increased foraging in the spring in anticipationof worsening conditions. Increasing overall predation riskresults in smaller fish at the end of the season with a trade-offbetween summer and winter survival. The model generates testablepredictions for juvenile salmon and provides insights for otherorganisms (particularly poikilotherms) that are subject tosize-dependent or seasonally changing foraging dynamics.