Past exam of the zoology course of the University of Cambridge / 2024 / Paper ZL3 / 5

interaction frequency changes evolutionary incentives by altering immediate encounter benefits, learning opportunities and expected future returns. Its effect depends on who meets whom and what happens during an encounter; more interaction does not universally favour cooperation. Three quantities must be separated: encounter rate per unit time, probability of meeting the same partner again, and the frequency of a behavioural or genetic variant in the population. They can change independently.

Repeated encounters can support direct reciprocity. In a simple donation game, cooperation costs its actor $c$ and supplies a partner benefit $b$, with $b>c>0$. Suppose both players initially cooperate and use grim trigger, withdrawing cooperation permanently after a defection. With effective continuation factor $0\le \delta <1$, continued cooperation returns:whereas a one-time defector obtains $b$ and then receives zero thereafter against that rule. cooperation is a best response when:The repeated-game analysis shows how a cost now can be offset by future returns. It does not show that this rule must evolve, that it can invade from arbitrarily low frequency, or that animals calculate the inequality. Conditional strategies, initial assortment, implementation errors and monitoring determine the evolutionary outcome. The classic theoretical and computational work on repeated cooperation established the importance of future interaction without proving one universal mechanism in nature. ^[ref]

Elapsed time matters as well as the number of rounds. For illustration, let further encounters with the same partner occur at rate $\lambda$, while the relationship ends irreversibly at independent rate $\mu$. Under these competing exponential waiting times:Faster recurrence can then make benefits arrive before the relationship ends. Combining the two results gives $\lambda \ge \mu c/(b-c)$ under these restrictive assumptions. If frequent encounters are instead with new unrecognizable partners, they need not increase the continuation value of any one relationship. Higher population density can therefore increase encounter count while making partner-specific reciprocity less important.

Intraspecific food sharing in vampire bats supplies relevant evidence. Controlled fasting induced opportunities to donate food among familiar individuals of mixed relatedness; food received predicted food given more strongly than relatedness, and donors often initiated transfers. ^[ref] This supports a role for mutual direct benefits beyond a purely kin-based or harassment explanation. It does not establish one-for-one repayment after every donation. Stable social relationships can jointly cause both directions of help, so prospective manipulations of partner availability and ability to reciprocate would provide stronger tests of particular contingency rules. Repeated records within a dyad must not be counted as independent relationships, and opportunities to give must be distinguished from willingness.

Repeated interaction can also support cooperation between species. Cleaner fish can gain by consuming client mucus rather than the material whose removal benefits the client. In experiments using artificial clients, cleaners chose between preferred prawn and less preferred flake food; taking the preferred item caused plate removal or a brief chasing response in treatment groups. Cleaners subsequently changed their choices relative to controls. ^[ref] This tests a learning mechanism through which loss of access or an adverse response changes incentives. It does not directly measure a natural client's lifetime return or require a tit-for-tat rule. The controls against mere sequence-dependent preference change and the known initial food preference make the interpretation more precise than simply observing frequent cleaning.

partner choice adds a different effect of encounter structure. If clients can select among several cleaners, access to alternatives can reward good service through continued custom. A resident client with few alternatives may instead rely more on immediate control. Increasing the availability of partners can thus strengthen a biological market while reducing fidelity to any single partner. The net outcome depends on information about service, switching costs and competition for clients. Opportunity for future exchange matters, but partner switching and repeated bilateral reciprocity are not the same process.

Some mutualisms rely on physiological coupling rather than repeated behavioural encounters. In the legume–rhizobium system, experimentally preventing nitrogen fixation altered host support and bacterial reproductive outcomes, providing evidence for conditional partner sanctions. ^[ref] A persistent association can make a partner's contribution affect its own future resources without recognition of discrete past exchanges. The experiment should be interpreted through host physiology and bacterial reproduction, not as evidence that a plant consciously punishes. Controls for the manipulated gas environment and nodule condition distinguish reduced service from incidental treatment damage.

More frequent interactions can equally intensify antagonism. In a simple well-mixed predator–prey model, encounters can scale with the product of predator and prey densities. However, successful attacks cannot rise without limit when handling takes time. An illustrative Holling type II functional response is:with prey density $N$, encounter coefficient $a$ and handling time $h$. Increasing prey availability changes the value of search and prey choice, while saturation changes the benefit of further encounters. ^[ref] This is an ecological link to evolutionary incentives, not proof that all predators have the same response. Spatial refuge, prey switching and learning can alter it. Within species, frequent contests can instead increase injury, resource depletion or the value of stable dominance relationships.

The frequency of strategies supplies a further distinction. The return to aggression, cheating or a mating tactic depends on the alternatives encountered. A rare exploitative strategy may gain from common cooperative partners, but its advantage can decline as it depletes those opportunities. That is frequency-dependent selection, even if each individual has exactly the same number of encounters per day. By contrast, multiplying every payoff and cost by the same encounter rate may only speed selection without changing the favoured strategy. Effects on equilibrium require a change in relative returns, timing, partner composition or constraints.

Empirically, studies should manipulate encounter rate separately from identity, density and total resource availability, then measure survival or reproduction as well as immediate behaviour. Repeated partners can be maintained with fewer total meetings, or shuffled while holding meeting number fixed. Matched feeding and handling treatments help separate social experience from nutritional state and disturbance. Interaction frequency is therefore a mechanism-changing ecological variable, not a simple cooperation switch: its importance lies in how it reshapes future consequences, learning, assortment and the balance between mutual benefit and exploitation.