Parasitism benefits the parasite through food, habitat, or transmission opportunities while imposing a fitness cost on the host, so its standard sign pattern is (+,-) when the parasite is listed first. Host costs may include tissue damage, nutrient loss, impaired reproduction, altered behavior, or increased mortality. Unlike a parasitoid, a parasite does not necessarily kill the host as a required developmental outcome, because prolonged host survival can support continued exploitation. (+,0) denotes commensalism and (0,0) neutrality. The reversed notation (-,+) could describe the same relationship only if the host were listed first, but conventional presentation places the beneficiary before the harmed participant. The distinction is biologically useful because ecological labels summarize mechanisms that generate testable predictions. Evaluating costs, benefits, timing, and the identities of interacting organisms prevents confusion between terms that may look similar in a short description. Mechanistic reasoning is essential here: classifications should follow measurable consequences for survival, reproduction, resource acquisition, or detection. Context can modify interaction strength, but it does not erase the defining contrast among the alternatives presented.
Ref:
Ecology: From Individuals to Ecosystems, Begon et al., 5th Ed., Ch. 8-13