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Costs of reproduction. A demographical approach to examine life-history trade-offs ─ Abstract. Resource-allocation trade-offs are fundamental constraints of life-history evolution. In particular the trade-offs between reproduction and longevity and between present and future reproduction are expected to form reproductive patterns. Unfortunately, exploring such trade-offs in natural populations is complicated and may not be possible. In face of several limitations, zoo data appear to be useful to better understand the reproductive biology of endangered, rare or cryptic species. In the first step, it was sought after with a data-mining, comparative multi-species approach for broad patterns of correlations between lifespan and variables in bird-eating spiders (Theraphosidae). The subfamily Eumenophoriinae on average lived longest, followed by the Theraphosinae, Ornithoctinae, Grammostolinae, Selenocosmiinae, Ischnocolinae and finally the Avicularinae. Species inhabiting tropical, more humid and/or low-altitude environments lived longer, suggesting that more predictable environments favour the evolution of longer lifespans. Furthermore, large range size, low abundance, sub-terrestrial life-style, and aggressive behaviour were all linked with longer lifespans. An argument for resource allocation trade-offs was found as larger spiderling and prosoma size were negatively related to longevity. In the second step, a demographical approach has been applied for two old-world deer species (Vietnamese sika deer Cervus nippon pseudaxis, Mesopotamian fallow deer Dama dama mesopotamica). In both species, births peaked right before the onset of the rainy season in natural environments. Females reached high reproductive output earlier in life and had (in one species only) higher survival rates than males. Offspring number covaried positively rather than negatively with longevity. In females, the length of the reproductive phase correlated positively with longevity, birth rate within the entire lifespan, and offspring number, while it was negatively correlated to the birth rate during the reproductive phase (in one species). The length of the post-reproductive phase was positively related to longevity and negatively to birth rate during the entire lifespan. In the third section, life-histories of Asiatic (Equus hemionus ssp.) and African wild asses (Equus africanus ssp.) have been anlaysed in a comparative way with another demographical long-term approach. All taxa showed even in captivity peak birth rates during the periods of highest food availability in their natural environments. Sex-specific survival rates with females living longer than males were evident in Kulan and Onager but not in Kiang and Somali wild ass, pointing towards different life-history strategies even among closely related taxa. Females achieved their highest reproductive output earlier than males, which is typical for polygynous mating systems. Offspring number and longevity were rather positively correlated than negatively. Taken together evidence for reproductive trade-offs was weak, though the length of the reproductive period was negatively related to birth rates within the reproductive period. Birth intervals increased with female age, probably reflecting detrimental effects of senescence.