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Based on a marginal value approach, we derive a nonlinear expression for evolutionarily stable (ES) dispersal rates in a metapopulation with global dispersal. For the general case of density-dependent population growth, our analysis shows that individual dispersal rates should decrease with patch capacity and-beyond a certain threshold-increase with population density. We performed a number of spatially explicit, individual-based simulation experiments to test these predictions and to explore further the relevance of variation in the rate of population increase, density dependence, environmental fluctuations and dispersal mortality on the evolution of dispersal rates. They confirm the predictions of our analytical approach. In addition, they show that dispersal rates in metapopulations mostly depend on dispersal mortality and inter-patch variation in population density. The latter is dominantly driven by environmental fluctuations and the rate of population increase. These conclusions are not altered by the introduction of neighbourhood dispersal. With patch capacities in the order of 100 individuals, kin competition seems to be of negligible importance for ES dispersal rates except when overall dispersal rates are low.
Fragmentation, deterioration, and loss of habitat patches threaten the survival of many insect species. Depending on their trophic level, species may be differently affected by these factors. However, studies investigating more than one trophic level on a landscape scale are still rare. In the present study we analyzed the effects of habitat size, isolation, and quality for the occurrence and population density of the endangered leaf beetle Cassida canaliculata Laich. (Coleoptera: Chrysomelidae) and its egg parasitoid, the hymenopteran wasp Foersterella reptans Nees (Hymenoptera: Tetracampidae). C. canaliculata is strictly monophagous on meadow sage (Salvia pratensis), while F. reptans can also parasitize other hosts. Both size and isolation of habitat patches strongly determined the occurrence of the beetle. However, population density increased to a much greater extent with increasing host plant density ( = habitat quality) than with habitat size. The occurrence probability of the egg parasitoid increased with increasing population density of C. canaliculata. In conclusion, although maintaining large, well-connected patches with high host plant density is surely the major conservation goal for the specialized herbivore C. canaliculata, also small patches with high host plant densities can support viable populations and should thus be conserved. The less specialized parasitoid F. reptans is more likely to be found on patches with high beetle density, while patch size and isolation seem to be less important.
We present the results of individual-based simulation experiments on the evolution of dispersal rates of organisms living in metapopulations. We find conflicting results regarding the relationship between local extinction rate and evolutionarily stable (ES) dispersal rate depending on which principal mechanism causes extinction: if extinction is caused by environmental catastrophes eradicating local populations, we observe a positive correlation between extinction and ES dispersal rate; if extinction is a consequence of stochastic local dynamics and environmental fluctuations, the correlation becomes ambiguous; and in cases where extinction is caused by dispersal mortality, a negative correlation between local extinction rate and ES dispersal rate emerges. We conclude that extinction rate, which both affects and is affected by dispersal rates, is not an ideal predictor for optimal dispersal rates.
Background: Male killing endosymbionts manipulate their arthropod host reproduction by only allowing female embryos to develop into infected females and killing all male offspring. Because of the reproductive manipulation, we expect them to have an effect on the evolution of host dispersal rates. In addition, male killing endosymbionts are expected to approach fixation when fitness of infected individuals is larger than that of uninfected ones and when transmission from mother to offspring is nearly perfect. They then vanish as the host population crashes. High observed infection rates and among-population variation in natural systems can consequently not be explained if defense mechanisms are absent and when transmission efficiency is perfect. Results: By simulating the host-endosymbiont dynamics in an individual-based metapopulation model we show that male killing endosymbionts increase host dispersal rates. No fitness compensations were built into the model for male killing endosymbionts, but they spread as a group beneficial trait. Host and parasite populations face extinction under panmictic conditions, i.e. conditions that favor the evolution of high dispersal in hosts. On the other hand, deterministic 'curing' (only parasite goes extinct) can occur under conditions of low dispersal, e.g. under low environmental stochasticity and high dispersal mortality. However, high and stable infection rates can be maintained in metapopulations over a considerable spectrum of conditions favoring intermediate levels of dispersal in the host. Conclusion: Male killing endosymbionts without explicit fitness compensation spread as a group selected trait into a metapopulation. Emergent feedbacks through increased evolutionary stable dispersal rates provide an alternative explanation for both, the high male-killing endosymbiont infection rates and the high among-population variation in local infection rates reported for some natural systems.
Background: Male killing endosymbionts manipulate their arthropod host reproduction by only allowing female embryos to develop into infected females and killing all male offspring. Because the resulting change in sex ratio is expected to affect the evolution of sex-specific dispersal, we investigated under which environmental conditions strong sex-biased dispersal would emerge, and how this would affect host and endosymbiont metapopulation persistence. Results: We simulated host-endosymbiont metapopulation dynamics in an individual-based model, in which dispersal rates are allowed to evolve independently for the two sexes. Prominent male-biased dispersal emerges under conditions of low environmental stochasticity and high dispersal mortality. By applying a reshuffling algorithm, we show that kin-competition is a major driver of this evolutionary pattern because of the high within-population relatedness of males compared to those of females. Moreover, the evolution of sex-specific dispersal rescues metapopulations from extinction by (i) reducing endosymbiont fixation rates and (ii) by enhancing the extinction of endosymbionts within metapopulations that are characterized by low environmental stochasticity. Conclusion: Male killing endosymbionts induce the evolution of sex-specific dispersal, with prominent male-biased dispersal under conditions of low environmental stochasticity and high dispersal mortality. This male-biased dispersal emerges from stronger kin-competition in males compared to females and induces an evolutionary rescue mechanism.
The exploitation of landscapes increases fragmentation of valuable areas with high biodiversity. Consequently, many populations nowadays exist as metapopulations. In such cases, the balance between extinction and colonisation of patches determines the regional survival of species. To determine long term survival of species and to assess the impact of different management regimes proper knowledge of species habitat requirements as well as information on their dispersal behaviour is needed. The aim of this thesis was to develop methods and measures for the identification of suitable areas for grasshoppers and bush crickets, as well as to quantify the reachability of single patches by individuals. The first part of my work focuses on the quantification of habitat suitability for grasshoppers and bush crickets. Based on presence/absence data, I developed statistical habitat suitability models using logistic regression analyses. The resulting models are evaluated and validated in space and time. It turned out that habitat selection of the species mainly took place on an intermediate spatial scale. The relevant scale falls into the same range as the species’ mean dispersal distances. Besides the rather coarse grained factor ‘type of habitat’ structural factors as well as abiotic factors are correlated with the occurrence of the species. The model of S. lineatus, including the parameters ‘type of biotope’ and ‘vegetation height’ was most successful in predicting the occurrences of the bush cricket species. To further test whether the occurrence of species of different insect groups can be predicted with a common model, I tested the usefulness of the orthoptera models for the prediction of butterflies in the same region and vice versa. While transferability of the orthoptera models was poor, the model of the moth Z. carniolica performed quite successful. It included the proportion of suitable habitat as well as the occurrence of the two sucking plants C. jacea and S. columbaria as relevant factors. Z. carniolica is classified as stenoecious and thus represents other species typically found on fringes and mesoxerophytic grasslands. The high mobility of Z. carniolica simultaneously guarantees the reachability of regional suitable areas and thus ensures that the influence of the random effects of colonisation on the model are marginal. Unfortunately, the factors predicting habitat quality for a species are normally not available at the landscape level. Thus, they cannot be used for the prediction of occurrences without extensive censuses in the field. Nevertheless, my results show that the sole use of the variable ‘type of habitat’, which often is available landscape wide, will be sufficient for the classification of habitat suitability in a landscape. I conclude that for practical use in conservation biology the type of biotope can be used to predict occurrence of the studied species. Besides quality/quantity of suitable habitat, dispersal of individuals between patches is a key factor influencing the survival of populations. Thus, the second part of my work concentrates on theoretical as well as empirical studies on the dispersal behaviour of bush crickets. In field experiments I could show that the assumption of a dichotomous movement behaviour does not apply for bush crickets. Instead, movement pattern changes continuously with structural resistance, temperature, mortality risk and resource availability. This result is confirmed in my experiments on the behaviour of bush crickets at habitat borders. For different borders I could demonstrate different edge permeabilities. Additionally, I observed that grasshoppers could detect suitable habitat from a certain distance. Because the dispersal behaviour plays an important role in theoretical models, my empirical data can be used to parameterise such models. In addition to the influence of movement pattern on the reachability of suitable habitats, I could demonstrate, with simulation models, that the influence of the landscape context in which dispersal takes place has a critical impact on the exchange of individuals between patches. This effect is enhanced if mortality risk during dispersal is accounted for. The results from my studies on habitat suitability can be used to identify suitable habitat for grasshoppers and bush crickets in a landscape. Consequently, the potential suitability of an area as habitat, based on predictions on changes in the type of biotope by management regime, can be predicted. But this information alone is not sufficient to determine regional survival probability of a species. My investigations concerning the dispersal behaviour clearly show, that the reachability of suitable areas is dependent on the spatial configuration of patches and the structure of areas between habitats. Additionally, factors specific for individuals, like motivation and physiological factors play a crucial role for the reachability of suitable habitats.