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# White-naped mangabeys’ viable insurance population within European Zoo Network

## Abstract

The success and viability of an ex-situ conservation program lie in the establishment and potential maintenance of a demographically and genetically viable insurance population. Such population reserve may support reintroduction and reinforcement activities of wild populations. White-naped mangabeys are endangered restricted-range African primates which have experienced a dramatic population decrease in their natural habitats over the last few decades. Since 2001, some European zoos singularly monitor an ex-situ population aiming to seek the recovery of the current wild population. The aim of the present paper is to evaluate the genetic status and population demographics of European zoo-captive white-naped mangabeys based on pedigree data. The captive population is gradually growing and preserves specific reproductive and demographic parameters linked to the species. The intensive management program that is implemented has brought about the minimization of inbreeding and average relatedness levels, thus maintaining high levels of genetic diversity despite the existence of fragmented populations. This finding suggests white-naped mangabey ex-situ preservation actions may be a good example of multifaceted conservation throughout studbook management which could be used as a model for other ex-situ live-animal populations.

## Introduction

The Intergovernmental Science-Policy Platform on Biodiversity and Ecosystem Services (IPBES) warned about the high risk of extinction of over one million animal and plant species in 20191. To counteract this global extinction crisis, ex-situ conservation programmes have been increasingly implemented, seeking the sustainable maintenance and breeding of threatened species under controlled conditions outside their natural habitat.

Strategically combined with reintroduction activities, ex-situ techniques have become effective measures to preserve endangered species, when the efficient preservation of wild populations is compromised2,3,4. Integral management of captive-bred populations implies genetic and demographic routine monitoring tasks must be performed to reach conservation objectives in these captive populations4.

Monitoring tasks seek to ensure that genetic diversity and effective population sizes are maintained within acceptable levels, while inbreeding and average relatedness between mating animals are reduced to a minimum5,6. High levels of genetic diversity do not necessarily imply a high heritability of features that may be desirable from a conservation perspective. Evolutionary potential depends on external, and often complex, components for example, the variability that is due to environment. Provided evolutionary potential7 is thought to be partially driven by genetic diversity8, it is the effectiveness of genetic management policies (environmental factors even if this are induced by humans), which may determine whether long-term population viability and reintroductions into the wild are successfully maximized.

The European Association of Zoos and Aquaria (EAZA) gathers together the leading zoos and aquariums in Europe and the Middle East and regularly designs standards for the conservation of nature and wildlife both at its member institutions (400 member zoos and aquariums across 48 countries) and outside the zoo premises9. Under the scope of the Zoos European Directive10, EAZA member institutions are instructed to maintain standardized individualized records to make the interpretation and utilization of animal databases easily accessible for all the members involved in cooperative management plans and formal research projects11. Internally, these databases allow animal management staff to plan and monitor population conservation and care programmes for long-term survival and potential in-situ conservation assistance12.

Updated records of zoo collections are a valuable source of information for scientific researchers pursuing to reach the key mission conservation goals of zoos and aquaria as stated in the first set of guidelines of the World Association of Zoos and Aquariums13. To ensure these goals are accomplished, each individual animal record should comprise all the relevant data concerning its current status, origin, genealogy, possible transactions, health and other practical advice (i.e. welfare issues and/or behavioural features)14.

The documentation of the complete historical record of every individual lays the basis for better coordinated genetic and demographic population management practices in threatened taxa15. This information may not only enhance the ability to adapt housing and living conditions to approximate captivity to wild environmental conditions, but also to replicate the genetic interaction of the individuals in this recreated environment16.

Pedigree information analysis constitutes an invaluable tool for genetic diversity quantification and demographic structure evaluation in captive populations. This information can be used to formulate recommendations to maintain a genetically-healthy population17 with reliable reproduction and increasing group growth rates18. Such recommendations may involve translocations among zoological nuclei, and the objective selection of most appropriate individuals for reproduction and/or identification of related animals19.

Pedigree-based strategies are cost-effective alternatives to perform routine genetic diversity evaluations, population demographics and viability and to track the improvement of genetic diversity16,20. The effectiveness of pedigree analyses relies on the strict control of genealogical information carried in endangered populations, from the moment when the base captive-founder populations were established. The integrity of the genealogical information present in pedigrees may be compromised by problems associated to the veracity and effectivity of the tools used21,22,23, pedigree completeness levels 24,25 and of the thoroughness of the operators participating in the process of data collection and registration21, among others. The estimates derived from the analyses of non-robust pedigrees (i.e., low depth, missing information, errors, unknown founder relationships, among others) can be favoured if empirical estimates of relatedness via genetic markers (microsatellites or SNPs) are determined26. Hence, endeavouring to improve pedigree robustness may always be sought to improve the accuracy of genetic parameters27.

In this context, budget limitations28,29 may frequently compromise the routinely application of genomic tools and restrict their utility to small-sized threatened populations, with limited or missing genealogical background, in which the proportion of polymorphic loci is commonly small19,30,31. Otherwise the use of large numbers of genomic markers may be needed32. These limitations may result in allele frequencies of the historical population being unknown, which may bias the inference of inbreeding as a direct consequence of potential changes occurring due to genetic drift33. As a result, molecular techniques, which may not distinguish between identity by descent (IBD) and identity by state (IBS) probabilities underlying genetically mediated similarities among relatives34,35, may compliment the information comprised in pedigrees.

Based on the aforementioned comparison, ex-situ management programmes using pedigrees are routinely carried out by EAZA in a wide range of animal species. These species mainly consist of terrestrial and marine mammals (approximately 26% of threatened species at a global level)15. In the case of non-human primates, nearly 60% of the species are endangered and 75% account for wild reduced populations as a result of human-induced disturbs during the last three decades36.

Among other genus and families, EAZA institutions host the largest captive population of white-naped mangabeys (Cercocebus atys lunulatus), a West African endemic non-human primate from (Ghana, Republic of Côte d'Ivoire and Burkina Faso)37 currently classified as ‘Endangered’ by The Red List of IUCN due to habitat fragmentation and bushmeat38. The genealogical information (ESB, European Studbook) of captive white-naped mangabeys19 has been monitored in different European zoos since 1994.

Since 2000, a European Endangered Species Programme (EEP) was implemented to respond to the classification of the species as ‘Critically Endangered’ by IUCN19. Supported by the West African Primate Conservation Action (WAPCA) in Ghana and Côte d’Ivoire since 2010, the first research outcomes obtained consisted of a population viability analysis (PVA) simulating different scenarios combining deterministic and stochastic factors potentially affecting white-naped mangabey wild populations’ dynamics. The study concluded genetic diversity may remain high under all assumptions (> 90%)19, which suggested European captive mangabeys may act as an insurance population to accomplish in-situ conservation goals.

The present study evaluates the effectiveness of conservation activities along the history of the captive population of white-naped mangabeys. The genetic and demographic structure of the captive population, genetic parameters and the trends described by them were quantified. Afterwards, a breeding strategy is proposed to recommend the most appropriate animal matings among the individuals present in the current population. To conclude, the genetic distances among hosting institutions were quantified and traced. The present set of analyses may guide future conservation aimed breeding strategies and act as a model for other species under the similar circumstances.

## Results

### Intensive management policies drive demographic rising

The historical and current distribution of individuals across institutions is shown in Fig. 1. The average (± SD) number of infants born per year in the historic population was 6.20 ± 4.10, reaching its peak (17) in 2016 and 2018. The average (± SD) number of complete equivalent generations during the last decade (2008–2018) was 2.39 ± 0.218, and described a linear increasing tendency until it reached a maximum value of 2.59 in 2018 (Fig. 2).

Pedigree completeness indexes (PCIs) for one, two, three, four, five and six generations, the maximum number of traced generations, maximum number of complete generations and number of equivalent generations in the two population sets, are shown in Table 1.

The maximum progeny per male and female decreased almost linearly in the current population. However, the mean (± SD) progeny per male was 1.57 ± 4.17 in the historic population and 2.07 ± 4.19 in the current population; 1.68 ± 3.02 and 1.92 ± 2.78 in the historic and current population, respectively, for females. The female/male ratio is increased in the current population (1.22/1) in respect of the historic population (0.90/1). The percentage of males with progeny selected for breeding, that is all males whose offspring has acted as a breeding male or female, was 45.62% and 84.10% in the historic and current population, respectively; 41.34% and 75.73% for females, all females whose offspring has acted as a breeding female or male (Table 1). The average generation interval and the mean age of parents at offspring’s birth and dispersion statistics (SD and SEM) are presented in Table 2, respectively.

### Identity by descent estimators and degree of non-random mating

Although mean (± SD) inbreeding is low (3.19% ± 0.07% in the historic population and 1.64% ± 0.05%) in the current population), highly inbred animals are present in each population set (12.75% and 4.16% of the animals in the historic and current population, respectively).

The percentage of inbred animals was 23.15% and 17.5%; the average (± SD) coancestry was 4.21% ± 2.00% and 4.18% ± 2.00%; and the degree of non-random mating presented mean values of − 0.02 ± 0.07 and − 0.03 ± 0.05, for the two population sets, respectively. The highest values for these three parameters were 0.25 (25%) for different ages between 1985 and 2018, 0.0914 (9.14%) for coancestry in 1997 and 0.225 for non-random mating degree in 1999.

Matings resulting in highly inbred animals have occurred in the population: 2 (0.67%) mating between full sibs, 18 (6.04%) mating between half-sibs y 18 (6.04%) mating between parent-offspring.

Registered values for mean (± SD) Genetic Conservation Index (GCI) were of 2.84 ± 1.48 and 3.52 ± 1.52 for the historic and current population, respectively. The summary of identity by descent estimators, non-random mating degree and genetic conservation index parameters is presented in Table 3.

The evolution of the non-random mating degree (α), inbreeding rate (F), average relatedness (ΔR), and Genetic Conservation Index (GCI) of the European captive white-naped mangabey from 1951 to 2019 is represented in Fig. 3. Regression equations for the prediction of the evolution of average inbreeding (F) and average relatedness (ΔR) up to 15 generations are shown in Fig. 4. Linear, logarithmic and polynomic functions were tested seeking the best fitting models to describe the trends presented by each parameter. The polynomic function was selected upon considering the functions reporting the highest value for the determination coefficient (R2)39.

### Probabilities of gene origin, ancestral contributions and genetic diversity

The results for the analysis of the gene origin probabilities, ancestral contributions and genetic diversity, are shown in Table 4.

Considering the marginal genetic contribution, the genetic constitution of a single ancestor (identification code: 33) explained 16.99% of the total genetic pool within the population (91.62%), 1.69% of the total inbreeding coefficient (3.09%) and 1.68% of the total coancestry (3.93%). The 10 ancestors with higher marginal genetic contributions were responsible for the total inbreeding and 3.72% of the total coancestry in the population.

The mean (± SD) effective population size calculated by the individual inbreeding rate was 47.33 ± 21.04 in the reference population, whereas the mean (± SD) effective population size based on the individual coancestry rate (NeCi) was 17.76 ± 1.59. The number of equivalent subpopulations (± SD) was 0.37 ± 0.17.

### Herd relationships and breeding strategy

The mean (± SD) number of animals per zoo was 8.51 ± 10.26, ranging from 1 to 40. Related to Wright’s F statistics, the inbreeding coefficient relative to the total population40 was − 0.01, the inbreeding coefficient relative to the subpopulation41 was − 0.16 and the correlation between randomly drawn gametes from the subpopulation relative to the total population (FST) was 0.13 (Table 5). There were considered a total of 561 Nei’s genetic distance between the 35 zoos. The average (± SD) Nei’s genetic distance was 0.253 ± 0.126. The mean (± SD) coancestry within subpopulations was 0.16 ± 0.02 (16.00% ± 2.00%) and the mean inbreeding was 0.032 ± 0.02 (3.20% ± 2.00%). In the metapopulation, the mean (± SD) coancestry and self-coancestry were 0.04 ± 0.02 and 0.52, respectively.

Zoo structure assessment revealed none of the zoos could be considered the population nucleus neither totally isolated. The number of zoos that used foreign father was 19, whereas 17 used own fathers and 14 used both foreign and own fathers. In total, 28 pairs of zoos showed the greatest Nei’s genetic distance (50%) among them. The minimum Nei’s genetic distance was 0.0619 (6.19%) and was shared between one pair of zoos (Supplementary Table S1). A cladogram representing all the relationships between the 34 zoos is shown in Fig. 5.

## Discussion

Conservation measurements implemented in captive European white-naped mangabeys have focused on maintaining a healthy ex-situ population mimicking the natural framework of the species. The captive population has maintained high genetic diversity and minimized inbreeding levels since 1951 (see Fig. 3). Two of the highest annual birth rates were experienced in 2016 and 2018 (see Fig. 2)4. The minimum number of animals born per year (≤ 4) describes a cyclical trend which lasts approximately 20 years, a period after which white-naped mangabeys naturally display signs of reproductive senescence42.

The demographic evolution of captive population is parallel to the improvement of the risk situation faced by white-naped mangabeys wild populations, which promoted the reclassification of the species by The Red List of IUCN to the lower threat category of “Endangered” in 2015. The inclusion of twenty-one new institutions reinforced EAZA’s network and brought about the addition of new founders (twenty-eight unrelated, wild-born individuals) and genealogy-known individuals to the ex-situ population since 201219. The progressive increase in pedigree knowledge up to 90% at first generation occurred in the context of the scarcely available data from other threatened species held at offsite emplacements for similar conservation purposes (for instance, 27%-35% known pedigree for sable antelope32,43 and 70.9% for African Penguin44).

This lack of information occurs even if institutions make every effort to implement the most efficient standardized methods. Pedigrees can remain problematic due to multiple reasons, including difficulties associated with discerning parentage with herd or flock breeding22,23, low generation depth24, unknown founder relationships25, and human error21, among others45.

As a result, the analysis of incomplete pedigree records may lead to biased calculations of demographic and genetic parameters, even if self-sustainability could be expected from most managed populations46. For instance, 78% of bird and 52% of mammal captive populations registered in EAZA’s studbooks47, have pedigree completeness index levels below 85% and 58% fail to achieve the target conditions for sustainability (effective population size, growth rates, sex ratio and similar life-time family sizes across zoos)46.

The pedigree completeness levels in our study provide the first evidence of the success of white-naped mangabey ex-situ programme, which in turn enhances the possibilities for protection and recovery at medium and long-term, as long as genealogical recording and intensive management husbandry practices continue19.

The captive population constitutes itself a short-term backup reserve if the imminent extinction of wild populations occurred. In fact, it is the intensive management implemented, which aims at preserving the demographic and biologic structure of white-naped mangabeys wild counterparts, which potentializes the breeding capacities of the individuals to effectively retain high levels of genetic diversity. Maximum progeny per male and female were higher in the historic population. However, this could be ascribed to the fact that in the origin of the captive population, the main objective was to ensure a number of animals which may permit the captive population’s long-term viability48.

High mean progeny per male and female in current population denote the balance of the differential contribution of individuals to reproduction may have effectively contributed to the maintenance of genetic diversity49. This was supported by the negative values of FIS (Table 5), suggesting breeding policies implemented may enable maximizing the likelihood of unrelated matings pairs50.

Mean age of animals at breeding (Table 1) and mean age of parents at the birth of their offspring selected for breeding (Table 2) were lower in the current population. This may be indicative of the attempts to maximize reproductive potential promoting maternal reproductive skills and interactions during high fertility periods42. In these regards, feeding and handling in early growth stages, first parturition and lactation must be appropriate to ensure reproductive success is not affected51.

Prolonging generational intervals can effectively increase the number of animals selected for breeding, progressively increasing effective population sizes and, therefore, generating a proportional reduction in inbreeding52, which maximizes the preservation of genetic diversity. To increase selection pressure, older animals with more progeny registries may be required, which may extend generation intervals. Shortening generation intervals may imply younger animals with fewer progeny registries may be considered, which may decrease selection pressure. This negative correlation could be compensated as young animals often present a greater genetic value provided they are the result from maximized genealogical diversity practices53. By contrast, reduced generation intervals may imply a larger number of animals reach sexual maturity age (set around 6 years old) earlier, with the consequent increase in birth number and population growth rate.

Additionally, the balance between such strategies may lead to the success of the breeding programme, as suggested by the relatively low negative values of FIS, which may be indicative of the promotion of breeding policies that consider unrelated animals at a rate at which the population does not excessively depart from Hardy–Weinberg equilibrium.

Mean generation intervals were higher for the current sire-daughter and dam-daughter pathways, which could be explained by a sex-ratio which favours females (Table 1), a common demographic feature to wild populations of the genus Cercocebus54 which could be ascribed to the philopatric nature of primate females.

This biological condition provides primates with an important functional role for ecosystem health and wellbeing which simultaneously enables the survival and success of offspring to breed55. Additionally, in Old World monkeys (Family Cercopithecidae), milk amount and quality may be influenced by offspring sex, to the detriment of baby females56,57, which determines a lower growth rate in their early stages and a delay in the mean age of prepuberal females in reproduction.

Parents’ mean age at their offspring’s birth was slightly lower than generation intervals (Table 2), suggesting selection of breeding animals whose offspring may potentially breed is performed slightly later than the moment when their first offspring is born. This way, data and reproductive records (health status, sexual cyclicity and maternal skills) may adjust to life expectancy (males: 26.7 years; females: 34.7 years58) and maximum periods of fertility (males: 19 years; females: 15 years19) of captive individuals.

Historical and current percentages of females with progeny selected for breeding were lower than those of males (also slightly older). This suggests breeding selection policies pay a greater attention to males [either phenotypically (for instance, considering their behaviour, adaptability to environment or resistance to stress58), functionally (reproductive effectiveness) or conservationally (higher levels of genetic diversity and reduced inbreeding)] as suggested for other species59. This policies simulate the sexual dispersion of this species, in which the males constitute the migratory sex60.

The implementation of a EEP since 2000 significantly contributed to inbreeding and average relatedness reduction19. However, levels above 1% and highly inbred animals can be found in the captive population (Table 3), suggesting matings between closely-related animals may still occur. Although inbred individuals could be outcrossed with unrelated individuals from the wild61, obtaining new founders from wild populations is difficult, provided these populations currently describe a decreasing trend.

Inbreeding has remained below coancestry levels, suggesting matings among closely-related individuals were unintentionally performed62. The different subpopulations are substantially separated, making it difficult to involve different genetic resources. This is consistent with the degree of non-random mating (α) and FIS values, which suggested higher rates of random matings among closely-related individuals may occur, which is common in small-sized populations which develop in limited spaces.

Current ΔF slightly exceeds the recommended maximum of 1%, level below which the fitness of a population steadily decreases63,64,65. Hence, effective population size may still not reach the recommended threshold to maintain genetic variability (≥ 50 individuals). However, the trends described for the historical evolution of ΔF report promising outcomes, as there has been a decrease of around 4 points, which may imply genetic variability may be recovering acceptable levels. As Lee and Wilcken66 stated, a population of any size can be sustainable if a supplementing source population can effectively suit the required harvest of new individuals and cooperation across institutions is well-established. The incorporation of Accra’s Zoo (within the species geographical range) in 2010, meant an invaluable source for genetically unrelated wild-born animals which may prevent genetic erosion.

The number of equivalent subpopulations below 1 revealed a high level of population structuration. According to Fernández, et al.67, population subdivision may be beneficial, provided the extinction risk derived from compromising events such as accidents or health-related factors, may only cause the disappearance of population sections. Furthermore, genetic diversity may reach its highest levels when populations subdivide into as many separate groups as possible. Still, caution should be taken, provided the benefits of subdivision may be counteracted by the negative effects derived from the reduction in effective size and increase in inbreeding.

Although population structure can greatly affect ΔF, it hardly affects coancestry increase, hence NeCi may more accurately estimate effective population size than NeFi68. Hence, progressively adding individuals through the participation of new institutions may be beneficial to maintain a high degree of genetic diversity for as long as possible19. Simultaneously, the proportion of translocated males is higher than that of females. This practice may be an additional attempt to simulate the male sexual dispersion of the species60, an implicit evolutionary strategy for the prevention of inbreeding increase69,70,71.

Values of fe (15.41) and fa/fe (0.71) may suggest the frequent use of a small number of animals for breeding may lead to the loss of genetic variability, which may be supported by the low number of ancestors (5) which explains 50% of population's gene pool. Still, founders’ genotypes are represented in the current population. The unequal contribution of founders may be confirmed by the values of fg (11.85) and fa/fe (0.71) as one of the main causes for the current genetic diversity loss. The difference between fe and fa suggests bottlenecks, although not sharply, may have reduced population’s genetic variability. The lower the fe/fa is, the greater impact bottlenecks have on the population.

These bottlenecks may be associated to a progressive increase in the occurrence of abnormalities and susceptibility to disease or stressful environmental situations. Such an increased susceptibility may derive from the increase in the incidence of deleterious recessive mutations, which may potentially lead populations to extinction72. Mutations that are only mildly deleterious are difficult to eliminate and are the principle cause of inbreeding depression73. Furthermore, even if lethal and semi-lethal mutations disappear rapidly due to inbreeding, the large costs of this process may affect population viability73.

For instance, infant mortality levels of in white-naped mangabeys in captivity of 37.2% with most deaths occurring within the first two months of life58, could potentially be ascribed to increased inbreeding levels (around 25%) in primate captive populations among other factors74. However, theoretically, species that are naturally inbred to some degree in the wild, should potentially show less of a deleterious effect when subjected to inbreeding in captivity, which may somehow explain the low representativity of the loss of genetic diversity derived from the occurrence of bottlenecks and genetic drift in the population under study (0.97%)74.

Additionally, the difference between fg and fa (11) would suggest the effects of genetic drift on genetic diversity may have been compensated by the higher value of fg. The difference between fg and the number of founders (f) (29) may be indicative of the loss of founder’s offspring, inbreeding increase at founder stages, or a combination of both causes19,75. This could be justified by the absence of an intensive population breeding programme until 2000 when the EEP76 of this species was set19. Nevertheless, according to genetic theory, twenty unrelated individuals may be enough to retain 97.5% of the wild gene diversity within the founder population72.

Long generation intervals found in primates may permit genetically self-sustainability with few founders. In fact, this specific ex-situ programme may have effectively captured at least 90% of wild gene diversity for 100 years since the captive population was established, as most of the EEPs and ESBs within EAZA institutions77, with levels of genetic diversity (95.78%) in the captive population progressively increasing since 2012 (93%)19. Considering that intensive management for this captive population is relatively recent, the maintenance of such high genetic diversity levels may depend on multiple simultaneous factors. For instance, not enough generations may have passed since the decrease in the effectives comprising the wild population pushed the species to its current endangered situation. Hence, generation number in captivity may not be enough to verify the magnitude of genetic variability reduction8,78.

However, in the absence of conservation efforts, a substantial loss could be confirmed in the near future for these primates. For instance, as reported by Jara et al.19, the number of founder genome equivalents was half the number of founders in captive white-naped mangabeys in 2016, which was indicative of either lost descendants of the original founders or that the original founders were inbred, or a combination of these factors.

In this context, the lower difference between founder genome equivalent and number of founders in the present study confirms special efforts may be being made on the preservation of descendants from the founder population, as if the cause for such differences may have been the fact that founder animals were inbred, these values may have remained somehow stable. This supports the fact that the founder population of captive white-naped mangabeys may have been highly genetically diverse and may have included individuals from a wide range of geographic origins hence, the variability to be expected from wild populations’ sub-structuration may be well represented79 as described for other captive populations of critically endangered species80.

Genetic diversity may be the basis for individuals’ resilience to the factors that extensively threat their wild populations and the adverse effects of adaptation to captive breeding81. In this context, research seeking to understand viability and resilience mechanisms in captive populations may bring about the development of tools which may enable to evaluate genetic diversity levels indirectly. This in turn may help to fulfill conservation purposes more efficiently and practically, as the more diverse populations are, the more capable to adapt to captivity environments they will be as well.

In this sense, a recent population viability analysis simulating different scenarios combining deterministic and stochastic factors and their potential impact on the viability of wild isolated populations of white-naped mangabey has suggested high levels of genetic diversity may be generally maintained under all assumptions (> 90%)82. Hence, the subdivided populations could contribute to the conservation of genetic diversity, as shown in wild fragmented populations of other nonhuman primates83,84,85.

The minimum Nei’s genetic distance between institution pairs, effective population size and Wright’s F statistics confirmed a certain subdivision degree. A single institution (26) is at the top of the relationship cladogram (Fig. 5). This may base on the private character of the institution and on the frequent translocation of the offspring born to other zoos, while no genetic material is received (from live animals or assisted reproduction).

Reproductive policies normally consider a small number of ancestors as the basis for subsequent generations, which indirectly replicates the natural isolation patterns found for fragmented wild animal populations86. Table 5 suggests the breeding strategy should aim at mating animals keeping relationship coefficients (R) below 10% to maintain the inbreeding below 1%, which may increase effective population size up to a minimum of 50 to counteract the risk of extinction. Breeding animal selection should consider conservation criteria such as mean kinship rankings (average relatedness value of an animal towards the current population) to reduce inbreeding and genetic variability loss87.

Bearing this in mind, current pairing/transfer criteria focuses on ranking animals in the population considering their individual inbreeding coefficients (F) and genetic conservation index (GCI). GCI88 measures the proportion of genes of founder animal i in the pedigree of each particular individual in the population. GCI is a measure of the representativity of founding population in the individuals, and acts as a measure of genetic diversity in the range of the genetic pool of the base population. The highest score in the rank was given to the model obtaining the most desirable value for each particular criterion. For instance, those individuals presenting the lowest inbreeding coefficients may be ranked higher, while those animals presenting the highest genetic conservation indexes will be ranked higher as well. Then, the rest of positions in the rank were determined in ascending or ascending order from the most desirable values to the lowest desirable ones, which are ranked with the value of 1.

Afterwards, as aforementioned inbreeding and GCI differ in terms of which their most desirable values are and what their magnitude is, a combined selection index (ICO) is developed following the premises in Van Vleck89 to summarize the position in the rank for each of the two parameters. The combined index used (ICO) was as follows;

$$ICO=\frac{Inbreeding \, coefficient \, Position \, in \, the \, Rank \, * \, \mathrm{W}1+ GCI \, position \, in \, the \, Rank \, * \, \mathrm{W}2}{2}$$

where W1 is the weight for inbreeding coefficient, W2 for GCI rank position. All criteria are given the same relevance in the ICO, hence, no coefficient was used, that is the proportion of 1:1 is followed. As a result, the animals presenting greater ICO values are the ones presenting the highest levels of genetic diversity from the pool of the founding population and having those founding genes from the least related animals. Conclusively, the individual values for ICO and mean kinship rankings between pairs of individuals are considered to determine which the most appropriate pairing/transfer candidates are.

This use of mean kinship, inbreeding and GCI values for best guiding of animal pairing is proposed to be more attainable in zoo-kept intensive-managed populations than in other large housing facilities where social structure and therefore mate choices cannot be accurately handled4. Such condition may translate into a more successful genetic and demographic intensive management of biodiversity conservation43. Comparing genetic diversity and structure between captive and wild populations using genomic markers would help to determine the magnitude of the potentially occurring bias when using information from pedigrees and which of these two alternatives may eventually more effective26,90.

## Methods

### White-naped mangabey breeding-management programme in captivity

Barcelona Zoo coordinates the European Studbook (ESB) for the white-naped mangabey. This population breeding/management programme registers the information in respect birth place, birth and death dates, average kinship (average relatedness between an individual to all others in the population, including itself) and transfers of the individuals that are housed in EAZA-member institutions.

Through the compilation of this information, a demographic and genetic assessment is regularly performed to effectively manage the general status of the population. If derived results indicate a non-self-sustaining population at a given time, more intensive management (i.e. increasing the rate of exchange of individuals between zoos and planning matings carefully considering their diversity, inbreeding levels and relatedness) are proposed for the ongoing population viability19.

Transfer decisions are based on internal criteria such as lack of space for more individuals in a particular location for welfare issues, existing heavy disputes among congeners sharing resources, desired phenotypic traits and/or low reproduction performance within a captive herd.

Concerning exchanging rates, sixty-eight males and fifty-seven females have been subjected to translocation activities for improved pairing since 1994. In fifty-five cases, this genetic exchange has been made through assisted reproduction techniques by expert veterinarians instead of removing the animals from their living emplacement for mating attending to animal welfare-related logistic and biological constraints (transport and potential destabilization of social hierarchy in acceptor herd).

### Data registries and software tools

The historical population comprises 298 animals (157 males and 141 females) born between January 1951 and January 2019. The current population comprised 120 white-naped mangabeys (54 males and 66 females) which were born between September 1987 and January 2019 and are alive. Only thirty-three animals (11%) were wild-born.

Thirty-four European Association of Zoos and Aquaria’s member zoos houses white-naped mangabeys and compiles genealogical information for the commitment of this species conservation program’s goals19 (Fig. 1). The studbook was provided by the white-naped mangabey EEP coordinator. The registries consist of the individual name and identification code, sire code, dam code, sex, birthdate (to know the temporal evolution or tendency of some parameters), birthplace (captive-born or wild-born) and status (death or alive).

The demographic and genetic parameters of variability were evaluated using the ENDOG software (v 4.8)91. The analysis of the probabilities of genetic origin and ancestral contributions was carried out with the CFC software92, on all the data sets. Dendroscope 3 software93 was used for the graphical representation of the dendrogram based on Nei's genetic distance between subpopulations.

### New-born annual increase and pedigree completeness index

New-born annual median number, maximum and mean number of offspring per sire and dam were calculated. Pedigree completeness index (PCI), which summarizes the percentage of known ancestors of each ascending generation, was evaluated as in Navas et al.62 computing the maximum number of traced generations; the number of complete traced generations; the number of complete equivalent generations (all known ancestors); and the quality of the genealogical information of the pedigree were determined after the calculation of the proportion of known parents through to great-great-great-great-grandparents (first to fifth generation inclusive).

### Breeding animals, generation interval and mean age of parents at offspring’s birth

Generation intervals were computed as the mean age of parents at the birthdate of their offspring selected for breeding94 and the mean age of parents at offspring’s birth (selected for breeding or not), were calculated for each of the four gametic pathways: sire to son, sire to daughter, dam to son and dam to daughter. These parameters were obtained from the birthdate for every animal together with those of its parents. Female/male ratio was considered the relationship between total number of females and males in historical and current populations.

### Identity by descent estimators and degree of non-random mating

Individual inbreeding (F) was computed according to Luo95. The average relatedness (ΔR) of each individual or the probability that an allele randomly selected within the population belongs to a given animal, was obtained as proposed by Gutiérrez et al.91. The individual rate of inbreeding ($$\Delta F)$$ for the number of complete equivalent generations was computed according to Gutiérrez et al.96. The individual rate of coancestry ($$\Delta C)$$ for the number of complete equivalent generations was computed as suggested by Cervantes et al.97. Mean inbreeding (F) per generation and average relatedness (ΔR) were used to issue regression equations fitting lineal, logarithmic and polynomic functions to predict for the evolution of inbreeding and relatedness up to fifteen generations onwards. Non-random mating (α) was calculated as described by Caballero and Toro98. Genetic Conservation Index (GCI) or the effective number of founder ancestors of each pedigree, was estimated as proposed by Alderson88.

### Probabilities of gene origin, ancestral contributions and genetic diversity

The effective number of founders (fe) or founders equally contributing that are expected to generate the same genetic diversity that in the studied population, was computed as;

$${f}_{e}=\frac{1}{\sum_{k=1}^{f}{q}_{k}^{2}}$$

where qk is the probability of gene origin of the founder and f the real number of founders75.

The minimum number of ancestors (fa), founders or not, necessary to explain the entire genetic constitution of the population, was determined as;

$${f}_{a}=\frac{1}{\sum_{k=1}^{f}{p}_{k}^{2}}$$

where pk is the marginal contribution of an ancestor k, which means the contribution not explained yet by the rest of ancestors99. Both parameters (fe and fa) can be used to summarise the loss of genetic variability because of the non-proportional breeding animals’ contribution100.

The effective number of founder genomes (fg) or the number of equally contributing founders without founder alleles loss that are expected to generate the same genetic diversity than in reference population (both parents known), was obtained by calculating the inverse of twice the average coancestry98.

The expected marginal contribution of each major ancestor j (the largest genetic contributing founders or not) was computed as the expected genetic contribution independently of the rest of ancestors’ contribution99.

The contributions to inbreeding of nodal common ancestors (highest marginal genetic contributions) that form inbreeding loops, were obtained according to Colleau and Sargolzaei101. An inbreeding loop exists when the ancestor of an individual is that by both maternal and paternal pathway. Mean effective population sizes ($$\overline{{N}_{e}}$$)102, was calculated as;

$$\overline{{N}_{e}}=\frac{1}{\left(2\overline{\Delta IBD}\right)}$$

The number of equivalent subpopulations103 was assessed as the relationship between $$\overline{{N}_{e}Ci}=\frac{1}{\left(2\overline{\Delta C}\right)}$$ or the mean effective population size considering the coancestry coefficient and $$\overline{{N}_{e}Fi}=\frac{1}{\left(2\overline{\Delta F}\right)}$$ that is the mean effective population size considering the inbreeding coefficient. Genetic diversity (GD) was calculated as75,104;

$$GD=1-\frac{1}{{2f}_{g}}$$

The GD loss (GDL) in the population since the founder generation was estimated as $$1-GD$$. Considering the different possible causes of this loss, GDL derived from the unequal contribution of founders was calculated as;

$$\mathrm{GDL from the unequal contribution of founders }=1-{GD}^{*}$$

where98,

$${GD}^{*}=1-\frac{1}{{2f}_{e}}$$

The difference between GD and GD* is referred to genetic drift accumulated since the foundation of the population75.

The effective number of non-founders (Nef) was calculated as proposed by Caballero and Toro98 to describe the relationship between the effective number of founders and the number of equivalent genomes of founders.

### Zoo relationships and breeding strategy

The relationships between zoos were evaluated using Wright’s F statistics and Nei’s genetic distance. The Wright’s F statistics105 for each subpopulation (35) were calculated according to Caballero and Toro106. Wright’s F statistics allow pairwise comparisons among subpopulations or populations but those pairwise "distances" take account only of the data for the two populations concerned, not all the data simultaneously. Still this provides relevant information in the context of pedigree evaluation as the differences between both parameters may account for the estimation bias that may occur. For this reason and to quantify the degree to which populations differs from the entire pool of data using distance measures that make biological assumptions, Nei’s distances were used as well. Nei’s genetic distance69 between subpopulations i and j was computed as;

$${\text{D}}ij = \left[ {\left( {{\text{C}}ii + {\text{C}}jj} \right)/{2}} \right] - {\text{C}}ij,$$

where Cij is the average pairwise coancestry between individuals of the subpopulations i and j, including all Ni × Nj pairs. Cii and Cij are the average pairwise within subpopulations i and j, to assess interzoo relationships.

Afterward, a simulation was made to determine the maximum limit of relatedness coefficient existing in the population between mated animals to determine which matings maintained ($$\Delta F$$) in a generation equal or below 1%.

These levels of individual increase in inbreeding correspond to Ne = 50. Below these levels fitness of a population noteworthily decreases107. Relatedness coefficient (ΔR) can be defined as the probability that two individuals share an allele because of common ancestry. Relatedness coefficient (ΔR) of a pair of mating animals is the potential inbreeding coefficient of their potential offspring. This parameter ranges from 0 (unrelated) to 1 (clones or identical twins). This definition excludes alleles that are shared because of belonging to the same species or population.

Five mating groups were considered for the simulation. The average relatedness coefficient between mated animals was kept below 0.00%, 5.00%, 10.00%, 15.00% and 20.00% (greatest feasible limit considering all possible mating among all 120 alive animals). The inbreeding coefficient of the offspring for each mating was estimated as one-half of the parental relationship coefficient. The inbreeding rate96 was calculated by averaging the individual inbreeding increase through;

$$\Delta Fi=1-\sqrt[ti-1]{1-Fi}$$

where ti is the number of complete equivalent generations108 and Fi the inbreeding coefficient of the individual i.

For each group, 17 random matings were selected, basing on the number of births in the last natural complete year (2018: 17 births) and on the assumption of one baby per female42 using SPSS Inc.109. Thirty replicates were evaluated within each group to calculate the average effective population size (Ne) as described by Gutiérrez et al.96.

## Data availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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## Acknowledgements

The authors would like to thank the collaboration of white-naped mangabey EEP for their work and support.

## Author information

Authors

### Contributions

F.J.N.G. and J.V.D.B. designed and executed the study; M.T.A. provided the studbook information; C.I.P. supported the analyses for genetic diversity estimates; F.J.N.G. and C.I.P. performed the statistical analyses and generated the figures and tables; F.J.N.G. and C.I.P. wrote the manuscript; and F.J.N.G., C.I.P., M.T.A., M.J.R.A., J.V.D.B. and J.A.D.G. participated in the discussion and editing of the article.

### Corresponding author

Correspondence to Francisco Javier Navas González.

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Iglesias Pastrana, C., Navas González, F.J., Ruiz Aguilera, M.J. et al. White-naped mangabeys’ viable insurance population within European Zoo Network. Sci Rep 11, 674 (2021). https://doi.org/10.1038/s41598-020-80281-6

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