Comparing alternative models to empirical data: cognitive models of western scrub-jay foraging behavior

Animals often select one item from a set of candidates, as when choosing a foraging site or mate, and are expected to possess accurate and efficient rules for acquiring information and making decisions. Little is known, however, about the decision rules animals use. We compare patterns of information sampling by western scrub-jays (Aphelocoma californica) when choosing a nut with three decision rules: best of n (BN), flexible threshold (FT), and comparative Bayes (CB). First, we use a null hypothesis testing approach and find that the CB decision rule, in which individuals use past experiences to make nonrandom assessment and choice decisions, produces patterns of behavior that more closely correspond to observed patterns of nut sampling in scrub-jays than the other two rules. This approach does not allow us to quantify how much better CB is at predicting scrub-jay behavior than the other decision rules. Second, we use a model selection approach that uses Akaike Information Criteria to quantify how well alternative models approximate observed data. We find that the CB rule is much more likely to produce the observed patterns of scrub-jay behavior than the other rules. This result provides some of the best empirical evidence of the use of Bayesian information updating by a nonhuman animal.     

Complex mate searching in the satin bowerbird Ptilonorhynchus violaceus

Mate-choice studies typically focus on male traits affecting female mating decisions, but few studies seek to identify the behavioral rules females use when searching for mates. Current models suggest that females may either directly compare a set of males ("pooled comparison") or compare each male to an internal standard ("sequential-search rule") when judging the suitability of potential mates. Models also differ in other specific aspects, such as the predicted number of sampling bouts initiated and the tendency of females to return to males after previous visits. We monitored 63 female satin bowerbirds, Ptilonorhynchus violaceus, during mate sampling to reconstruct their search patterns. We found that females typically sampled several males and returned to the most attractive male for mating: a behavior consistent with the pooled-comparison tactic. Females, however, varied in the number of males sampled; some visited only one male before mating. We found that this variation can be explained by differences among females in the number of mates, the date mate searching is initiated, and long-term experience with males. Further, females were observed to initiate two distinct sampling bouts, with the rejection of most of their potential mates occurring before the start of the second sampling bout. This suggests that the choices of potential mates are narrowed prior to the second sampling bout and that the later visits may function to reconsider preliminary decisions made during the first sampling bout or to resolve decisions concerning the remaining potential mates. Our results indicate that mate searching is a complex process in which females use multiple sampling bouts to find suitable mates and in which several different factors influence their search behavior.     

Risky mate search and mate preference in the golden orb-web spider (Nephila plumipes)

Mate searching is a risky behavior that decreases survival byincreasing predation risk and the risk of energy depletion.However, few studies have quantified actual mortality duringmate search, making it difficult to predict mate searching andmating strategies. Using a mark and recapture study, we examinedmate-searching success in a highly sexually dimorphic species,the golden orb-web spider (Nephila plumipes). We show that despitethe high-density aggregations of this species, male survivalduring mate searching is extremely low (36%) and is phenotypeindependent. Surprisingly, males that survived mate search werein better condition after recapture than prior to release, mostlikely due to kleptoparasitism on females' webs. In a complementaryrelease experiment in a field enclosure, we show that malesare choosy and adjust their choice of female depending on theirown condition and weight. Thus, the high mortality rate of searchingmales in the field may be a cost of choosiness because releasedmales traveled further than necessary to settle on females.Although males were choosy about female phenotypes, they didnot avoid webs with rival males already present. This suggeststhat the cost of continued searching outweighs the cost of competitionbut not the cost of mating with certain females. Further examinationsof mate-searching risk in other species in reference to theirmating system and environmental conditions are necessary todetermine the occurrence and effects of high mortality ratesduring searching.     

Male versus female mate searching in fiddler crabs: a comparative analysis

We present a comparative analysis of mate searching in fiddlercrabs, genus Uca. Several ecological factors determine whichsex will search for mates and how complex male signaling willbe. Female searching is most tightly correlated with matingin male burrows. Female searching is associated with high burrowdensity, small body size, and large soil size. These factors explain variation in a female's need for male-defended incubationsites. Female searching also is correlated with short eyestalks.In species in which females search for mates, males use a morecomplex mate attraction signal than in species in which malessearch.     

Dynamic mate-searching tactic allows female satin bowerbirds Ptilonorhynchus violaceus to reduce searching

Females can maximize the benefits of mate choice by finding high-quality mates while using search tactics that limit the costs of searching for mates. Mate-searching models indicate that specific search tactics would best optimize this trade-off under different conditions. These models do not, however, consider that females may use information from previous years to improve mate searching and reduce search costs in subsequent years. We followed female satin bowerbirds Ptilonorhynchus violaceus during mate searching and reconstructed their search patterns. We found that females who chose very attractive males typically mated with the same male in the following year, resulting in these females sampling fewer males than those who switched mates. In contrast, females who mated with less attractive males typically rejected their previous mates and searched longer for more attractive mates in the following mating season. A potential cost to mate searching is suggested by the observed increase in the likelihood of force-copulation attempts from marauding males with increased searching. Our results suggest that by using past experiences to adjust their search tactics, females may obtain high-quality mates while limiting search costs. These results emphasize the need to consider historical effects in studies of sexual selection, especially for long-lived species with stable display sites.     

Computational mate choice: theory and empirical evidence

The present review is based on the thesis that mate choice results from information-processing mechanisms governed by computational rules and that, to understand how females choose their mates, we should identify which are the sources of information and how they are used to make decisions. We describe mate choice as a three-step computational process and for each step we present theories and review empirical evidence. The first step is a perceptual process. It describes the acquisition of evidence, that is, how females use multiple cues and signals to assign an attractiveness value to prospective mates (the preference function hypothesis). The second step is a decisional process. It describes the construction of the decision variable (DV), which integrates evidence (private information by direct assessment), priors (public information), and value (perceived utility) of prospective mates into a quantity that is used by a decision rule (DR) to produce a choice. We make the assumption that females are optimal Bayesian decision makers and we derive a formal model of DV that can explain the effects of preference functions, mate copying, social context, and females' state and condition on the patterns of mate choice. The third step of mating decision is a deliberative process that depends on the DRs. We identify two main categories of DRs (absolute and comparative rules), and review the normative models of mate sampling tactics associated to them. We highlight the limits of the normative approach and present a class of computational models (sequential-sampling models) that are based on the assumption that DVs accumulate noisy evidence over time until a decision threshold is reached. These models force us to rethink the dichotomy between comparative and absolute decision rules, between discrimination and recognition, and even between rational and irrational choice. Since they have a robust biological basis, we think they may represent a useful theoretical tool for behavioural ecologist interested in integrating proximate and ultimate causes of mate choice.     

Sexual conflict about parental care: the role of reserves

Parental care often increases the survival of offspring, but it is costly to parents. Because of this trade-off, a sexual conflict over care arises. The solution to this conflict depends on the interactions between the male and female parents, the behavior of other animals in the population, and the individual differences within a sex. We take an integrated approach and develop a state-dependent dynamic game model of parental care. The model investigates a single breeding season in which the animals can breed several times. Each parent's decision about whether to care for the brood or desert depends on its own energy reserves, its mate's reserves, and the time in the season. We develop a fully consistent solution in which the behavior of an animal is the best given the behavior of its mate and of all other animals in the population. The model predicts that females may strategically reduce their own reserves so as to "force" their mate to provide care. We investigate how the energy costs of caring and searching for a mate, values of care (how the probability of offspring survival depends on the pattern of care), and population sex ratio influence the pattern of care over the breeding season.     

The Merits of Unconscious Thought in Rule Detection

According to unconscious thought theory (UTT), unconscious thought is more adept at complex decision-making than is conscious thought. Related research has mainly focused on the complexity of decision-making tasks as determined by the amount of information provided. However, the complexity of the rules generating this information also influences decision making. Therefore, we examined whether unconscious thought facilitates the detection of rules during a complex decision-making task. Participants were presented with two types of letter strings. One type matched a grammatical rule, while the other did not. Participants were then divided into three groups according to whether they made decisions using conscious thought, unconscious thought, or immediate decision. The results demonstrated that the unconscious thought group was more accurate in identifying letter strings that conformed to the grammatical rule than were the conscious thought and immediate decision groups. Moreover, performance of the conscious thought and immediate decision groups was similar. We conclude that unconscious thought facilitates the detection of complex rules, which is consistent with UTT.     

Territory and male quality do not influence settlement of yearling female willow ptarmigan

A common assumption in territory and mate selection models isthat individuals evaluate the qualities of territories and/orpartners and then choose the best ones. We determined whetherthis assumption was correct for yearling female willow ptarmigan(Lagopus lagopus). Yearling females did not choose partnersbased on the characteristics of the territories or of the malesthat we measured. In addition, the first females to settle didnot appear to obtain better territories or better partners thanthose settling later; date of settling was not related to subsequentsurvival, reproductive success, or quality of chicks produced.To evaluate whether choices of territories and partners wereconsistent among females, we manipulated settlement such thattwo sets of yearling females had the same suite of territoriesand males available. We found no consistent patterns of territoryand mate choice. We concluded that, in this population, yearlingfemales did not choose where to settle based on the relativequalities of territories or partners. Females may have beenunable to assess differences among territories when settlingbecause all territories were covered with snow.     

A large cost of female mate sampling in pronghorn

We measured the energy cost of mate sampling by female pronghorn (Antilocapra americana), a species for which there are no apparent direct benefits of mate choice and for which the sampling tactic most closely resembles best-of-n or comparative Bayes. We used Global Positioning System collars to record the position of individuals at 10-min intervals during the 2 weeks preceding estrus in females that actively sampled and in females that did not sample. The difference in the 2-week energy costs of these two classes of females was 8,200 (+/-2,300) kJ, or roughly one-half of the energy cost of a single day. This value, expressed as the fraction of total yearly energy expenditure, is 59 times the value reported for a lekking bird. Our finding calls into question the common assumption in models of mate search that the cost of search is negligible as well as the common assumption that the cost of sampling must be small when there are only indirect benefits of female choice.     

Phenotypic Plasticity and Repeatability in the Mating Signals of Enchenopa Treehoppers, with Implications for Reduced Gene Flow among Host-Shifted Populations

Mate signaling systems, because of their role in assortative mating, have often been implicated in the origins of evolutionary independence between lineages. We investigated three sources of phenotypic plasticity in mating signals with potential relevance to assortative mating in a species in the Enchenopa binotata complex of treehoppers. This group has been a model for speciation in sympatry through shifts to novel host plants. Host shifts result in partial reproductive isolation in Enchenopa binotata because of their effects on life history timing, but interbreeding is still possible if there is dispersal and some overlap of mating periods. Courtship in these plant‐feeding insects is mediated by plant‐borne vibrational signals. We asked whether variation in male mate signaling behavior is influenced by plant substrate, age, or size, each of which may play a role in interactions among host‐shifted populations. Males produced fewer, shorter signals when on non‐hosts than when on hosts. However, there were no effects of age or size on signal variation. Significant repeatability of some signal features (carrier frequency and the number of signals produced in a signaling bout) is consistent with the presence of genetic variation and thus the potential to respond to selection. Our results suggest that plasticity in mate signaling systems, and in particular in male mate searching behavior on hosts and non‐hosts, may have the potential to reduce interbreeding between populations that use different species of host plant.     

Males,but not females,perform strategic mate searching movements between host plants in a leaf beetle with scramble competition polygyny

Mate searching is assumed to be performed mostly by males, but when females benefit from multiple mating or are under risk of failing to mate, they may also perform mate searching. This is especially important in scramble competition polygynies, in which mate searching is the main mechanism of mate competition. Typically, more mobile individuals are expected to achieve higher mating success because mobility increases their probability of finding mates. If we assume individual movements are mainly explained by mate searching in scramble competition polygynies, we can investigate searching strategies by asking when individuals should leave their location and where they should go. We hypothesize that individuals will leave their locations when mating opportunities are scarce and will seek spatially close sites with better mating opportunities. We tested these hypotheses for males and females of Leptinotarsa undecimlineata, a leaf beetle with scramble competition polygyny in which both sexes are promiscuous. Individuals mate and feed exclusively on Solanum plants, and thus, individual movements can be described as switches between plants. Females were less likely than males to leave isolated plants, and both males and females moved preferentially to neighboring plants. Males were more likely to leave when the local number of females was low, and the number of males was high. They moved to plants with more females, a behavior consistent with a mate searching strategy. Females were more likely to move to plants with fewer males and many females, a behavior consistent with male harassment avoidance. Strategic movement is widely considered in foraging context, but seldom in a mate searching context. Considering that selection to minimize searching costs, maximize mating success, and minimize harassment may be ubiquitous in nature, we argue that strategic movements by mate searching individuals are likely to occur in many species.     

Density affects mating mode and large male mating advantage in a fiddler crab

Fiddler crabs show two different mating modes: either females search and crabs mate underground in male burrows, or males search and crabs mate on the surface near female burrows. We explored the relationship between crab density, body size, the searching behavior of both sexes, and the occurrence of both mating modes in the fiddler crab Uca uruguayensis. We found that crabs change their mating mode depending on their size and crab density. Crabs mated mostly on the surface at low densities, and underground at high densities. The proportion of wandering receptive females but not courting males accounted for the variation in mating modes. This suggests that whether crabs mate underground (or on the surface) is determined by the presence (or absence) of searching females. We found that the change in the mating mode affected the level of assortative mating; males mating underground were bigger than those mating on the surface, suggesting active female choice. Given that fiddler crabs experience multiple reproductive cycles, they are prone to showing behavioral plasticity in their mating strategy whenever the payoffs of using different mating modes differ between reproductive events. Our results suggest that the incorporation of different levels of environmental variability may be important in theoretical models aimed at improving our understanding of the evolution of alternative mating tactics and strategies.     

Female philopatry and male-biased dispersal in a direct-developing salamander, Plethodon cinereus

The local resource competition hypothesis and the local mate competition hypothesis were developed based on avian and mammalian systems to explain sex-biased dispersal. Most avian species show a female bias in dispersal, ostensibly due to resource defence, and most mammals show a male bias, ostensibly due to male-male competition. These findings confound phylogeny with mating strategy; little is known about sex-biased dispersal in other taxa. Resource defence and male-male competition are both intense in Plethodon cinereus, a direct-developing salamander, so we tested whether sex-biased dispersal in this amphibian is consistent with the local resource competition hypothesis (female-biased) or the local mate competition hypothesis (male-biased). Using fine-scale genetic spatial autocorrelation analyses, we found that females were philopatric, showing significant positive genetic structure in the shortest distance classes, with stronger patterns apparent when only territorial females were tested. Males showed no spatial genetic structure over the shortest distances. Mark-recapture observations of P. cinereus over 5 years were consistent with the genetic data: males dispersed farther than females during natal dispersal and 44% of females were recaptured within 1 m of their juvenile locations. We conclude that, in this population of a direct-developing amphibian, females are philopatric and dispersal is male-biased, consistent with the local mate competition hypothesis.     

EVOLUTION OF GENETIC INTEGRATION BETWEEN DISPERSAL AND COLONIZATION ABILITY IN A BIRD

Discrete behavioral strategies comprise a suite of traits closely integrated in their expression with consistent natural selection for such coexpression leading to developmental and genetic integration of their components. However, behavioral traits are often also selected to respond rapidly to changing environments, which should both favor their context-dependent expression and inhibit evolution of genetic integration with other, less flexible traits. Here we use a multigeneration pedigree and long-term data on lifetime fitness to test whether behaviors comprising distinct dispersal strategies of western bluebirds—a species in which the propensity to disperse is functionally integrated with aggressive behavior—are genetically correlated. We further investigated whether selection favors flexibility in the expression of aggression in relation to current social context. We found a significant genetic correlation between aggression and dispersal that is concordant with consistent selection for coexpression of these behaviors. To a limited extent, individuals modified their aggression to match their mate; however, we found no fitness consequences on such adjustments. These results introduce a novel way of viewing behavioral strategies, where flexibility of behavior, while often aiding an organism's fit in its current environment, may be limited and thereby enable integration with less flexible traits.     

Influence of environmental conditions on patch exploitation strategies of parasitoids

In patchy environments, patch-leaving decision rules are a keycomponent of the foraging behavior of parasitoids that haveto share their searching time between the different host patchesto optimize the number of ovipositions. It has been experimentallyshown that one of the proximate cues involved in patch-leavingdecision is the number of ovipositions performed by the parasitoidwhile in the patch. Ovipositions can have either a decrementalor an incremental effect on the patch residence time dependingon parasitoid species. Previous theoretical studies have suggestedthat environmental conditions and the ability of parasitoidsto reliably estimate the number of available hosts on a patchwhen entering it should influence how patch departure dependson ovipositions. We developed an individual-based model to testa large variety of patch-leaving decision rules in differentenvironmental conditions. This model includes a more realisticrepresentation of individual acquisition of information thanprevious theoretical work. In accordance with previous results,we show that the best use of information depends on environmentalconditions. Moreover, we identify the environmental factorsthat have a decisive influence on the most appropriate typeof rule (incremental or decremental). Decremental mechanismsare most efficient only in restricted conditions characterizedby a large number of patches and few parasitoids. The sensitivityof decision rules to frequency-dependent processes was testedby numerical invasibility experiments. Rare mutants using anyalternative rule never outperform populations using a high-performancerule. Incremental rules seem to be more sensitive than decrementalones to frequency-dependent processes.     

Sequential search and the influence of male quality on female mating decisions

 The patterns of phenotypic association between mated males and females depend on the decision rules that individuals employ during search for a mate. We generalize the sequential search rule and examine how the shape of the function that relates a male character to the benefit of a mating decision influences the threshold value of the male trait that induces females to terminate search. If the fitness function is linear the optimal threshold value of a male character increases with the slope of the function. The phenotypic threshold criterion declines, all else being equal, if the fitness function is made more concave (or less convex) by an increase of the risk of the function. The expression of the trait in females has no effect on the optimal threshold value of a male character if the fitness function is linear and phenotypic values combine additively to influence the benefit of a mating decision; the phenotypic threshold criterion is ubiquitous among females. A convex fitness function induces females with high trait values to adopt a relatively high phenotypic threshold criterion, whereas a concave fitness function induces such females to adopt a low threshold value for the male trait. Thus, linear, convex and concave fitness functions effect random, assortative and disassortative combinations of phenotypes among mated individuals, respectively. Changes of female search behavior induced by changes of the distribution of a male character similarly depend on the shape of the fitness function. A variance-preserving increase of male trait values produces a relatively small increase of the threshold criterion for the male character if the fitness function is concave, relative to conditions in which the fitness function is either linear or convex. Our results suggest that a sequential search rule can in principle induce the kinds of mating patterns observed in nature and that the phenotypic association between mated individuals is likely to depend on how a male character translates into fitness, the distribution of the trait among males and attributes of searching females. Received: 20 September 1997 / Revised version: 13 August 1998     

RETRACTED: WHAT DETERMINES SEX ROLES IN MATE SEARCHING?

In a seminal paper, Hammerstein and Parker (1987) described how sex roles in mate searching can be frequency dependent: the need for one sex to perform mate searching is diminished when the opposite sex takes on the greater searching effort. Intriguingly, this predicts that females are just as likely to search as males, despite a higher potential reproductive rate by the latter sex. This prediction, however, is not supported by data: male mate searching prevails in nature. Counterexamples also exist in the empirical literature. Depending on the taxon studied, female mate searching can arise in either low- or high-density conditions, and suggested explanations differ accordingly. We examine these puzzling observations by building two models (with and without sperm competition). When sperm competition is explicitly included, male mate searching becomes the dominant pattern; when it is excluded, male mate searching predominates only if we assume that costs of searching are higher for females. Consequently, two hypotheses emerge from our models. The multiple-mating hypothesis explains male searching on the basis of the ubiquity of sperm competition, and predicts that female searching can arise in low-density situations in which sperm can become limiting. It can also explain cases of female pheromone production, where males pay the majority of search costs. The sex-specific cost hypothesis predicts the opposite pattern of female searching in high-density conditions, and it potentially applies to some species in which sperm limitation is unlikely.     

No evidence for inbreeding avoidance in a great reed warbler population

Inbreeding depression may drive the evolution of inbreedingavoidance through dispersal and mate choice. In birds, manyspecies show female-biased dispersal, which is an effectiveinbreeding avoidance mechanism. In contrast, there is scarceevidence in birds for kin discriminative mate choice, whichmay, at least partly, reflect difficulties detecting it. First,kin discrimination may be realized as dispersal, and this isdifficult to distinguish from other causes of dispersal. Second,even within small, isolated populations, it is often difficultto determine the potential candidates available to a femalewhen choosing a mate. We sought evidence for inbreeding avoidancevia kin discrimination in a breeding population of great reedwarblers (Acrocephalus arundinaceus) studied over 17 years.Inbreeding depression is strong in the population, suggestingthat it would be adaptive to avoid relatives as mates. Detaileddata on timing of settlement and mate search movements madeit possible to identify candidate mates for each female, andlong-term pedigrees and resolved parentage enabled us to estimaterelatedness between females and their candidate mates. We foundno evidence for kin discrimination: mate choice was random withrespect to relatedness when all mate-choice events were considered,and, after correction for multiple tests, also in all breedingyears. We suggest that dispersal is a sufficient inbreedingavoidance mechanism in most situations, although the lack ofkin discriminative mate choice has negative consequences forsome females, because they end up mating with closely relatedmales that lowers their fitness.     

The Influence of Age on Male Mate‐Searching Behaviour in Thornbug Treehoppers

One prediction from life‐history theory is that males should increase investment in reproductive effort as they age because the opportunity for future reproductive events declines. However, older males may not be able to increase their reproductive effort if condition declines with age. The effect of age‐related changes in condition may be especially important for energetically costly activities such as moving within and between habitat patches while searching for mates. Although such searching is a component of many mating systems, the relationship between age and active mate searching has not been investigated. We investigated whether mate‐searching effort increased with age in the thornbug treehopper, Umbonia crassicornis (Hemiptera: Membracidae). In this species, males search for females using a ‘fly‐call‐walk’ strategy consisting of three phases: (1) flying from one plant to another; (2) walking and signalling while on a plant; and (3) close‐range courtship of encountered females. We measured several aspects of mate‐searching behaviour over the month‐long period of a male’s reproductive lifetime. Over the relevant period of male sexual activity (19–33 d), male condition remained stable. However, older males (25–33 d) did not search more actively than younger males as predicted; instead, younger males (19 d) had greater plant‐to‐plant flight activity and found females faster. Within‐plant walking rates and courtship duration did not differ among age classes. These results suggest that thornbug males may be investing so heavily in mate searching at younger ages that they are unable to increase investment in searching effort when they get older. As a result, older males are likely to be at a competitive disadvantage when active searching is required to locate sparsely distributed females.