Skip to content
naulon

No retraction, correction or concern found when last checked on Oct 23, 2026.

COMADRE : a global data base of animal demography

Roberto Salguero‐Gómez, Owen R. Jones, C. Ruth Archer and 20 more

Journal of Animal Ecology · 2016 · Review · CC BY

doi:10.1101/027821

Abstract

Summary The open‐data scientific philosophy is being widely adopted and proving to promote considerable progress in ecology and evolution. Open‐data global data bases now exist on animal migration, species distribution, conservation status, etc. However, a gap exists for data on population dynamics spanning the rich diversity of the animal kingdom world‐wide. This information is fundamental to our understanding of the conditions that have shaped variation in animal life histories and their relationships with the environment, as well as the determinants of invasion and extinction. Matrix population models ( MPM s) are among the most widely used demographic tools by animal ecologists. MPM s project population dynamics based on the reproduction, survival and development of individuals in a population over their life cycle. The outputs from MPM s have direct biological interpretations, facilitating comparisons among animal species as different as Caenorhabditis elegans , Loxodonta africana and Homo sapiens . Thousands of animal demographic records exist in the form of MPM s, but they are dispersed throughout the literature, rendering comparative analyses difficult. Here, we introduce the COMADRE Animal Matrix Database, an open‐data online repository, which in its version 1.0.0 contains data on 345 species world‐wide, from 402 studies with a total of 1625 population projection matrices. COMADRE also contains ancillary information (e.g. ecoregion, taxonomy, biogeography, etc.) that facilitates interpretation of the numerous demographic metrics that can be derived from its MPM s. We provide R code to some of these examples. Synthesis : We introduce the COMADRE Animal Matrix Database, a resource for animal demography. Its open‐data nature, together with its ancillary information, will facilitate comparative analysis, as will the growing availability of databases focusing on other aspects of the rich animal diversity, and tools to query and combine them. Through future frequent updates of COMADRE , and its integration with other online resources, we encourage animal ecologists to tackle global ecological and evolutionary questions with unprecedented sample size.

Full text

From PubMed Central, U.S. National Library of Medicine, as current on Oct 23, 2026. Paragraph numbers are ours, so an answer can point at one.

Introduction

Understanding the drivers and consequences of variation in reproduction and survival throughout the life cycle is fundamental for population biology, evolution, ecology and allied fields (e.g. Stearns 1989; Gaillard et al. 2005; Metcalf & Pavard 2007; Salguero‐Gómez & de Kroon 2010). Although demography is essential to understand and predict population dynamics, no single open‐data repository integrates this information for animal species world‐wide. This is mainly because most biological data sources are scattered and biological data types are heterogeneous (Hoffmann et al. 2014). Moreover, demographic data pose challenges for standardization due to the different formats (e.g. life table, matrix model, individual‐level records, population sizes, etc.) and terminology (Lebreton et al. 2012). This makes it challenging to create a single demographic data repository across multiple species. However, important efforts in this direction already exist, such as the Global Population Dynamics Database (GPDD, Inchausti & Halley 2001) or the Living Planet Index (LPI, Collen et al. 2009), BIDDABA (Lebreton et al. 2012) and the Primate Life History Database (PLHD, Strier et al. 2010) containing demographic information for birds and primates, respectively. These remarkable efforts are important contributions to population biology, but are limited in either demographic detail (GPDD, LPI) or taxonomic scope (BIDDABA, PLHD, WBI).

A mechanistic understanding of how and why populations invade, grow, decline, or go locally extinct, requires data and methods that provide insights into age‐/size‐/ontogeny‐based structure, such as Matrix Population Models (MPMs hereafter; Caswell 2001). MPMs have become a staple method describing the structured demography of animal populations. The widespread use of MPMs stems from their well‐understood mathematical foundations and tractability (Caswell 2001), coupled with the clear biological interpretations of the analytical outputs (e.g. growth rates, population structure and reproductive values; sensitivity and elasticity of demographic outputs; decomposition of treatment effects using LTRE analysis; measures of population viability and extinction risk; selection gradients in quantitative genetics and adaptive dynamics; and rates of spread of invasive species. See Caswell (2001), and Morris & Doak (2002) for detailed discussions and examples). Briefly, an MPM classifies the life cycle of a species into discrete stages and projects its population(s) through based on the probabilities of survival, transitions among stages and the contributions to sexual or clonal reproduction at each stage. The stages of the life cycle are typically chosen based on the biology of the species, and the projection interval can vary from days (e.g. Buston & García 2007) to years (e.g. Edmunds 2015), depending on the data available, species and questions.

As is the case with plants (Salguero‐Gómez et al. 2015), a large number of MPMs have been published on species in the animal kingdom since the models were introduced in the 1940s (Bernardelli 1941; Leslie 1945) (Fig. 1). Underlining the general utility of MPMs, these models have been used to address diverse topics including conservation biology (e.g. Crouse, Crowder & Caswell 1987; Bessa‐Gomes et al. 2003; Colin & Lebreton 2005; Jenouvrier et al. 2012), evolutionary biology (e.g., Kawecki 1995; Gaillard et al. 2005; Gamelon et al. 2015), ecotoxicology (e.g., Charles et al. 2009), invasion biology (e.g., Neubert & Parker 2004) and resource management (e.g., Salomon et al. 2013). MPMs have been employed to study species as taxonomically distinct as Caenorhabditis elegans, Loxodonta africana and Homo sapiens, and in geographically diverse regions with studies in every major biome (Fig. 2a and b).

Despite the growing availability of published MPMs and the fact that such models are inherently comparable (Caswell 2001), there have been few attempts to use MPMs in comparative analyses. Notable exceptions are the work by Sæther & Bakke (2000) or Bessa‐Gomes et al. (2003) on birds, and Heppell, Caswell & Crowder (2000) and Gamelon et al. (2014, 2014) on mammals, Vélez‐Espino, Fox & McLaughlin (2006) on bony fish, Mollet & Cailliet (2002) on cartilaginous fish, and van de Kerk et al. (2013) on order Carnivora. These works illustrate the power of comparative approaches for robust generalizations by relating demographic estimates made from MPMs to interactions with the environment that form the basis for the evolution of life histories. One reason for the lack of comparative studies has historically been the paucity of readily available demographic data, compared with genetic data (e.g. Benson et al. 2013). This changed recently, when the COMPADRE Plant Matrix Database was released (Salguero‐Gómez et al. 2015). Since its foundation in 1990, COMPADRE has prompted over 35 comparative plant demography studies ranging from senescence (Silvertown, Franco & Perez‐Ishiwara 2001; Jones et al. 2014), to short‐term population dynamics (Stott, Townley & Hodgson 2011), to the link between functional traits and demography (Adler et al. 2014; Salguero‐Gómez et al. 2015). Here, we announce the release of COMPADRE's sister data base, the COMADRE Animal Matrix Database, containing MPMs and associated metadata from the animal kingdom.

The main objectives of the COMADRE team are (i) to find, digitize and systematically error‐check published animal MPMs and supplement them with additional information (Table 1); (ii) to offer such information on an open‐data framework; and (iii) to develop tools to facilitate comparative analyses. The data described here are available at www.comadre-db.org. In this paper, we briefly describe the COMADRE Animal Matrix Database and highlight the major differences and similarities with its sister data base, COMPADRE. In addition, we briefly report some geographic, taxonomic and modelling biases in the animal demography literature that are revealed by the compilation of MPMs in COMADRE. Finally, we share our vision for how this resource may expand and develop in the future, linking to other already existing open‐access data bases to address timely questions in animal ecology and evolution.

Animal matrix population models: a historical perspective

The accumulated number of publications reporting MPMs for animals has increased dramatically since MPMs were introduced in the 1940s (Fig. 1). Important contributions to this history come from the introduction of new types of MPMs, and new methods for analysing them.

Matrix population models were largely ignored for twenty years after the work of Leslie (1945) (but see for instance Thompson 1959). The rediscovery of MPMs in the 1960s can be credited to Keyfitz (1964), Lefkovitch (1965) and Rogers (1966), whose works focused on animals. Keyfitz (1964) presented MPMs as tools for projecting population growth; his book (Keyfitz 1968) influenced a generation of animal ecologists. The first presentations of MPMs had assumed that age was the only individual state (i‐state; Metz & Diekmann 1986) variable. Lefkovitch (1965), based on studies of laboratory populations of stored product insect pests, explicitly proposed stage‐classified models based on the life cycle stages of insects. Rogers (1966) introduced spatial, or multiregional, models for human populations, classifying individuals by age and spatial location, and modelling survival, fertility and migration.

Other types of MPMs were introduced in the following years. The first seasonal, periodic MPM appeared in 1964 (Darwin & Williams 1964) in a study of seasonal harvesting as a control strategy for rabbits. The first density‐dependent models appeared in 1969: Pennycuick (1969) analysed a population of great tits (Parus major), while Rabinovich (1969) compared several density‐dependent models, including a MPM to analyse laboratory populations of a parasitoid wasp. The first stochastic model for an animal population was the analysis by Cohen, Christensen & Goodyear (1983) on recruitment fluctuations in striped bass (Morone saxatilis). Invasion models, using matrix integrodifference equations, were first applied to bird populations by Caswell, Lensink & Neubert (2003).

Analytical methods have developed in parallel with their applications to animal populations. Some of these developments have provided new ways of constructing models (photograph‐identification methods, mark–recapture methods, vec‐permutation matrix methods). Others have provided ways to extract additional information from the resulting MPM (perturbation analyses; LTRE decompositions; stability and bifurcation for nonlinear models; Markov chain methods for the analysis of longevity, heterogeneity and individual stochasticity; reactivity and amplification analyses). Further important contributions are detailed in Fig. 1.

The COMADRE Animal Matrix Database was founded at the Max Planck Institute for Demographic Research (MPIDR) (Appendix S1, Supporting information). The motivation for the creation of a data base containing MPMs for animals was based on substantial contributions of its sister data base, the COMPADRE Plant Matrix Database (Salguero‐Gómez et al. 2015), to plant ecology and evolution. Four years after its foundation, the COMADRE digitization team has digitized, standardized, error‐checked and supplemented information contained in over 400 species. As with the commitment for its plant sister data base, more data will be released periodically (Fig. 1) at www.comadre-db.org.

What is in the COMADRE portal?

The COMADRE portal (www.comadre-db.org) provides access to the data to important news (e.g. version releases), the user's guide and digitalization protocol, announcements on workshops and open‐access scripts for analyses. The current version of the COMADRE data is provided in a structured Rdata object format (Box 1, Fig. S1); this will migrate to an SQL infrastructure eventually. The information in COMADRE is obtained mostly (>99%) from published peer‐reviewed manuscripts obtained from searches of ISI, Scopus and Google Scholar with keywords frequently used in publications containing MPMs (e.g. ‘elasticity’, ‘sensitivity’, ‘LTRE’, ‘population growth rate’, ‘matrix population model’, ‘projection matrix’). The portal contains a list of all species included in the current release of the data, as well as those still being digitized/error‐checked. Users are encouraged to email their works containing MPMs at comadre-contact@demogr.mpg.de if not cited in the aforementioned list. The demographic information is digitized, re‐organized (see equation 2) and error‐checked (below), and then supplemented with additional sources (e.g. taxonomy, ecoregion; Table 1). The COMADRE user's guide details the organization of the data object, the meaning and range of possible values for these variables, as well as information on error‐checks and quality controls that are carried out. Additionally, Frequently Asked Questions (FAQs) can be found at the online portal (http://www.comadre-db.org/Help).

The basic data item of COMADRE is the population projection matrix. A basic (i.e. linear and time‐invariant) MPM can be written as where n is a vector describing the abundance of a set of age/size/ontogenetic classes and A is a population projection matrix. The structure of the projection matrix A depends on the choice of life cycle stages and the projection interval.

In COMADRE, the projection matrix is decomposed as where U is the matrix describing transitions and survival of extant individuals, and F and C are the matrices describing production of new individuals by sexual and clonal reproduction, respectively. Some studies do not measure reproduction, reporting only the transition matrix U. In these cases, this is reflected in the variable MatrixFec (see Table 1 and COMADRE User's Guide for details). The column sums of U give the survival probabilities of the stages, and thus should not exceed 1 (below).

The simple model (eqn 1) can be extended in several ways. Seasonal MPMs divide the year into seasons and report a projection matrix B(i) for season i during the m seasons/periods in the year; the data base entries for such seasonal models report all of the seasonal matrices, and when necessary, we also calculated the consequent annual matrix for inclusion in COMADRE:

Stochastic, density‐dependent and environment‐dependent MPMs are increasingly common in animal studies (e.g. Cushing et al. 2003; Jenouvrier et al. 2009; Hunter et al. 2010; Barraquand et al. 2014). In such cases, the MPM can be written as in equation 4, where E(t) corresponds to environmental conditions. Such a model is associated not with a single projection matrix, but with a function that returns an A matrix given a time and/or environment and/or population vector. Because such functions require a different data structure, such models are not directly included in COMADRE 1.0.0. However, in some cases, static MPMs are presented at particular values of density or environmental conditions, as specified in the variable Treatment (Table 1). These are not stochastic, density‐dependent or environment‐dependent models, although they might eventually be used to construct such models.

Associated with each MPM is a set of descriptive information (metadata). These metadata are contained in the R object COMADRE_v.1.0.0.Rdata as a list object that contains four further subhierarchical objects: metadata, matrixClass, mat and version (Box 1; See User's guide). The metadata object (a data.frame) can be accessed in R with the command comadre$metadata, and it includes information about taxonomy, additional details of the study including its source, geolocation and some details about the specific MPMs (Variables 1 through 54 inTable 1). Information about the classes used to construct the specific MPM is contained in the matrixClass object (a list of data.frames), which can be accessed with the R command comadre$matrixClass. The MPMs are held in a list of lists that can be retrieved with the command comadre$mat. Data pertaining to particular MPMs can be obtained using R’s standard data indexing facilities; for instance, comadre metadata[n,] and comadre$matrixClass[[n]] will return the metadata and class information pertaining to the nth matrix (comadre$mat[[n]]). This is illustrated in Box 1, where we demonstrate how to obtain data for the snowshoe hare (Lepus americanus; Meslow & Keith 1968). We provide further examples on how to query COMADRE to run comparative analyses in Appendix S4.1–4.7. The last object within COMADRE is the list version, which contains summary information about the version for replicability purposes, as well as a link to the User's Agreement.

In some cases, the original data source provided information that allowed us to split the full life cycle matrix (A) into non‐reproductive, survival‐dependent transition probability processes (U), sexual reproduction (F), and clonal reproduction, (C) as described in equation 2. Whether this was possible or not is indicated in by the variable MatrixSplit (Table 1). This set of four matrices (A,U,F and C) are stored as a list (with elements named matA, matU, matF and matC, respectively) within the elements of the comadre$matlist. Thus, the matrices can be obtained with ease: comadre mat[[n]] matA, comadre$mat[[n]]$matU, etc. Splitting the matrices in this way allows for automated calculation of demographic output of various kinds from hundreds of records in a few seconds (Appendix S4).

COMADRE and COMPADRE: similarities and differences

The core data in both COMADRE and COMPADRE are the projection matrices that appear in MPMs. A comparison of Table 1 in this manuscript and Table 1 in the introduction to COMPADRE Plant Matrix Database (Salguero‐Gómez et al. 2015) reveals a number of similarities. Moreover, the data quality controls are the same for COMPADRE and for COMADRE (below).

Despite the similarities, biological differences between plants and animals mean that animal data cannot be fully accommodated by the data base framework of COMPADRE. The key differences between the two data bases are as follows: (i) the variables GrowthType, DicotMonocot and AngioGymno are specific to plants and so do not exist in COMADRE; (ii) variables related to taxonomic validation and cross‐referencing (1–14 in Table 1) were crosschecked with The Catalogue of Life (CoL) (http://www.catalogueoflife.org) in COMADRE, instead of The Plant List (http://www.theplantlist.org) as done for COMPADRE; and (iii) we have added in COMADRE the variable MatrixFec, which indicates whether the reproductive component (matrices F and/or C) of the matrix model is missing or not. This variable was not present in COMPADRE 3.0.0, but it is now in 3.2.1; (iv) unlike in COMPADRE, where we reconstructed a phylogeny for plant species, a tree for most animal species in COMADRE has been recently published (Hedges et al. 2015). Furthermore, species‐level resolved trees also exist for some taxonomic groups such as mammals (Bininda‐Emonds et al. 2007), birds (Jetz et al. 2012) or reptiles (Pyron, Burbrink & Wiens 2013).

Error‐checking and cautionary notes

To facilitate transparency in the data entry and error‐checking process, we provide the protocol used internally by our team in the Online Appendix (Supporting information). Most of these checks were detailed in the publication of the COMPADRE Plant Matrix Database (Salguero‐Gómez et al. 2015). Important error‐checks include making sure that equation 2 remains correct for all MPMs and that stage‐specific survival (i.e., the column sums of the matrix U) does not exceed 1. In order to eliminate potential typographical errors, a double‐blind check, whereby the same MPM is digitized by two team members, each unaware that the other is doing so, and of what the results are, is carried out for ca. 50% of the original MPM sources. Additionally, each datum digitized by the COMADRE team is reviewed and error‐checked three times by the team leaders before the data are released. We do note that typos may remain despite our efforts. Users are encouraged to contact us at comadre-contact@demogr.mpg.de to inform us of potential errors.

Users wishing to run ‘big data analyses’ with COMADRE must keep in mind that, although hundreds of open‐data demographic records are available in COMADRE, these may not all be appropriate for a particular analyses. Data selection is perhaps the most important step in comparative research; thus, users must ask carefully which variables in Table 1 are irrelevant, relevant or missing for their research goals. Careful data selection criteria will allow for fair large analyses, the gold standard in comparative analyses. For instance, does the research require demographic data from various populations per species or is one population per species sufficient (NumberPopulations)?.Should there be a minimum threshold to the study length (StudyDuration)? We provide several examples of R code in the Online Appendix 4 to help users subset data based on various selection criteria.

We emphasize the importance of variables SurvivalIssue and MatrixFec (Table 1) to facilitate detection of issues related to survival‐ or reproduction‐dependent life history traits, respectively. SurvivalIssue reports the maximum stage‐specific survival value in the U matrix. This is important because the stage‐specific survival of any column sums of the U matrix is constrained to be between 0 and 1, and values greater than 1 render most analyses impossible, particularly those on survival and longevity. During data entry, when probabilities exceeded the error margin for rounding error and were considerably greater than 1, contributing authors were contacted for clarification. In some cases (<13% of MPMs with this issue), these personal communications have resulted in amendments from the originally published matrices or in the re‐assignment of proportions of each matrix element in A to the submatrices U,F and C (eqn 2). MPMs where this issue is still pending (IssueSurvival >1) may contain information provided by the authors in the variable ‘Observation’ (Table 1). Currently, only 0·9% of the MPMs (15 of the 1625) in version 1.0.0 have at least one stage‐specific survival >1. MatrixFec = ‘No’ is used to indicate MPMs for which reproduction was not modelled, to distinguish those cases from instances where reproduction was measured, but no recruitment occurred in t + 1. In the former case, the MPM cannot be used to quantify metrics that depend on reproduction, such as population growth rate λ, its elasticities/sensitivities, damping ratio ρ and net reproductive rate. However, other metrics are still valid in these models (e.g. life expectancy ηe from matU; Table 1). In version 1.0.0, only 4·6% of the MPMs (75 of 1625) contain this issue in the submatrix F.

The study designs, data sources and estimation procedures used to estimate MPMs are incredibly diverse. The research questions that can be asked and the analytical methods that exist to address them are equally diverse. Not all of the information relevant to a given analysis can be included in COMADRE. Just as with any scientific study, a user must take care that the data used are appropriate for the question and the analysis. This may require revisiting original sources (Appendix S5) to clarify aspects of the original study. A non‐exhaustive list of potential issues includes the effect of processes not included in the model (e.g. permanent emigration that may be confounded with mortality), the relative precision of estimates obtained by different methods (e.g. the difference between sessile and motile organisms) and the methods used to obtain measurements of age or stage. Reproduction in MPMs in COMADRE has not been categorized into pre‐breeding, post‐breeding or birth‐flow categories (Caswell 2001, p. 130); these classifications are not relevant to all studies, but may be of interest for some purposes. Thus, although MPMs from peer‐reviewed publications are included only after passing our error‐checks, some may still contain issues related to the original author's calculations.

Scope and coverage of COMADRE

COMADRE contains an unprecedented sample of information on animal population dynamics: 1625 MPMs from 402 studies corresponding to 345 taxonomically accepted species according to the Catalogue of Life (Appendix 4.2). This represents a substantial improvement in sample size and ancillary information to date (Table 1), including important comparative works examining various aspects of life history traits and population dynamics of mammals (50 species in Heppell, Caswell & Crowder 2000; 111 in Gamelon et al. 2014), birds (49 species in Sæther & Bakke 2000), fish (88 species in Vélez‐Espino, Fox & McLaughlin 2006) and order Carnivora (285 species in van de Kerk et al. 2013). It must also be noted that the information analysed in the aforementioned studies was not made open access with the exception of van de Kerk et al. (2013), who archived it into COMADRE.

COMADRE offers a broad geographic coverage of animal population dynamics (Fig. 2). Information in COMADRE 1.0.0 includes MPMs from all continents except Antarctica – although MPMs for Antarctic species do exist and will be released in future version of COMADRE (e.g. Emperor penguin, Jenouvrier et al. 2012; Antarctic petrel, Decamps et al. 2015). Importantly, geographic gaps do exist in our knowledge of animal demography in certain regions, including Oceania (8·11% of MPMs), and Asia (2·49%; Fig. 2b). Together, the USA (31·7%), Canada (8·7%), Australia (5·3%) and Kenya (4·8%) comprise over half the MPMs in COMADRE 1.0.0. Unfortunately, few studies report MPMs from biodiversity hotspots such as Honduras, Guatemala, the Democratic Republic of Congo, Paraguay, India and Indonesia. Furthermore, some developed countries, such as Saudi Arabia, Italy, Greece, Ireland and Brazil, are under‐represented.

Individual and seasonal population projection matrices (Table 1 #42) together total over 50% of the matrices in COMADRE 1.0.0, representing unique combinations of studies × species × populations × treatments × periods (Fig. S2A). The remaining 772 projection matrices are element‐by‐element arithmetic means of other matrices, or constructed based on data from multiple sources (‘pooled’). Given the spatial (Fig. 3a), interannual (Fig. 3b) and intraannual replication (Fig. 3c) in many studies, the high proportion of mean and pooled matrices suggests a tendency in animal demographic studies to publish only summary MPMs. We encourage authors to publish their original MPMs in the supplementary materials for their papers. Authors can archive MPMs in COMADRE by submitting them directly at comadre-contact@demogr.mpg.de.

Most studies in COMADRE are of natural populations in the wild (89%, Fig. S2B) and under unmanipulated conditions (i.e. no researcher‐imposed treatment) (80%; Fig. S2C). Most of the demographic studies in COMADRE are based on females only (67%; Fig. S2D); this is common practice in animal demographic studies (particularly in mammals), as quantifying reproduction and assigning paternity are challenging in males. We have noted, in the variable ‘Observations’ (Table 1 #52), when the primary sex ratio was stated by the author as differing from 1:1 (female:male). For the vast majority of matrices (95%; Fig. S2E), we have successfully split the full matrix A into its subcomponents of survival (U), sexual reproduction (F) and clonal reproduction (C) as per equation 2, and only 4·6% of the MPMs do not incorporate reproductive information (Fig. S2F).

The data in COMADRE 1.0.0 represent a wide range of animal groups (Fig. S2G). However, even though the digitization in COMADRE has not been prioritized by taxonomic group or geographic region, some strong taxonomic biases exist. Mammals represent 44·8% of the MPMs in the current version of COMADRE, followed by birds (17·5%), bony fish (Actinopterygii 10·6%) and reptiles (6·1%). COMADRE includes few MPMs for amphibians (0·9%), despite global concerns for their conservation status (Beebee & Griffiths 2005; Wake & Vredenburg 2008) or for insects (2·7%), despite their high species richness, estimated to comprise the majority of the animal kingdom (Hedges et al. 2015). The latter is particularly surprising a important early developments of MPMs focused on insects thanks to their clearly structured population dynamics (Lefkovitch 1965; Rabinovich 1969). This may reflect the widespread use of seasonal life table methods for insects, due to their annual life cycles (e.g. Dempster 1975), prior to the introduction of periodic matrix models specifically aimed at annual organisms (Caswell 2001; Chap. 13.2). Aside from bony fish, we lack significant amounts of demographic information on marine organisms in COMADRE, including corals (5·7%), bivalves (1·3%), sponges (0·8%), sea urchins (0·1%) and cartilaginous fish (0·2%). No information in COMADRE 1.0.0 exists for the order Struthioniformes (kiwis, emu, ostriches, etc.) or infraclass Marsupialia (kangaroos, wallabies, possums, opossums, wombats, etc., with the exception of the koala Phascolarctos cinereus; Baxter et al. 2006; Ng et al. 2014; Appendix S4.1).

The replication of studies through time and over space is highly variable in COMADRE. Yet, the average duration of studies in COMADRE 1.0.0 (10·97 years ± 0·68 SE; Fig. 3b, Fig. S3) is greater than in plant MPM studies (5·60 ± 0·23 years; Salguero‐Gómez et al. 2015). Long duration is essential for many demographic studies in the animal kingdom, as some animals, such as the clam Arctica islandica, giant tortoises (Geochelone nigra, G. gigantea), some rockfish species (e.g. Sebastes aleutianus) and the bowhead whale (Balaena mysticetus), can reach over 150 years of age (de Magalhaes & Costa 2009). Notable demographic studies using MPMs parameterized with long time series include Vipera aspis (17 years, Altwegg et al. 2005), Ursus americanus (22 years, Mitchell et al. 2009), Delphinus delphis (35 years, Mannocci et al. 2012), Recurvirostra avosetta (40 years, Hill 1988), Elatobium abietinum (41 years, Estay et al. 2012), Marmota flaviventris (44 years, Ozgul et al. 2009), Haliaeetus albicilla (62 years, Krüger, Grünkorn & Struwe‐Juhl 2010), Diomedea exulans (51 years, Barbraud et al. 2013) and Aythya affinis (72 years, Koons et al. 2006).

In contrast to the duration, the average number of populations considered in each study is relatively low, averaging 2·52 ± 0·42 (SE). The low spatial replication currently limits much‐needed understanding of the geographic variability of demographic rates within species. It is perhaps not surprising that the animal studies with highest spatial replication in COMADRE 1.0.0 focus on humans, with the foundational archive of human MPMs compiled by Keyfitz & Flieger (1968), which covers populations from 157 countries. We note that analyses of spatial and other kinds of variability in animal population studies are becoming more sophisticated due to the use of model selection methods to explicitly include environmental variables (e.g. Thomson, Cooch & Conroy 2009), and the concept of ‘spatial replication’ used in plant studies may acquire a different meaning to that used in most animal studies.

Unlocking global analyses

I'm not interested in your data; I'm interested in merging your data with other data. Your data will never be as exciting as what I can merge it withTim Berners‐Lee

I'm not interested in your data; I'm interested in merging your data with other data. Your data will never be as exciting as what I can merge it with

The potential of the COMADRE Animal Matrix Database does not reside exclusively in its hundreds of MPMs, or on the frequent future updates with new species and studies, but also in the many outputs that can be derived from them, and the possibility to place them in a broader spatial, ecological and evolutionary context using other open‐data sources. Users of COMADRE can find R scripts to manipulate and interact with MPMs and derive basic demographic outputs (Appendix S4 and updated scripts in our GitHub repository). Users are encouraged to explore these and other open‐source libraries (Stubben & Milligan 2007; Stott, Hodgson & Townley 2012; Metcalf et al. 2013), and to apply the rich repertoire of analytical methods for MPMs (Caswell 2001; Morris & Doak 2002).

The schedules of growth, survival and reproduction and the associated population performance metrics available through COMADRE will enable further comparative analyses of life history variation and population performance relative to the environment. For example, information in COMADRE could be integrated with existing repositories for other data such as genetic sequences (GenBank; Benson et al. 2013), distribution and occurrences (GBIF; Flemons et al. 2007), and conservation status and threats (BirdLife, http://www.birdlife.org/datazone; IUCN Red List, http://www.iucnredlist.org). Data on species‐level life history traits are also available for specific taxonomic groups including vertebrates (AnAge; de Magalhaes & Costa 2009), mammals (Ernest 2003; PanTHERIA, Jones et al. 2009), amphibians (Trochet et al. 2014), fish (FishBase) and reptiles (SCALETOOL, www.scale-project.net). In addition to the rapidly growing body of data, a diverse set of tools are emerging that will facilitate these large‐scale comparative analyses including the R packages taxize (Chamberlain & Szöcs 2013), letsR (Vilela & Villalobos 2015) which facilitate taxonomic matching and macroecological analyses, respectively.

We hope that the compilation of demographic data in COMADRE will also enable ecologists to identify the gaps in our knowledge in animal population dynamics and will catalyse new studies at broad spatial scales. The open‐data nature of both COMPADRE and COMADRE will facilitate further comparative demographic analyses across plant and animal kingdoms (see Jones et al. 2014) enabling tests of life history and population dynamics theory across a wide range of species with contrasting life histories, mobility/dispersal and architecture. We suggest that researchers revisit the canonical tenets of animal life history to confront established theories with data compilations that are vastly richer than was available 30 years ago. We have already identified over 900 additional animal species with MPMs (Fig. 1), and our ongoing efforts will release them as they become fully digitized, error‐checked and supplemented in the coming years. Finally, researchers using the data archived in COMADRE are strongly encouraged to cite also the original sources (Appendix S5).

Data accessibility

The data associated with this manuscript can be accessed at www.comadre-db.org.

References 99

  1. 1.

    Adler, P.B., Salguero‐Gómez, R., Compagnoni, A., Hsu, J.S., Ray‐Mukherjee, J., Mbeau‐Ache, C. et al (2014 ) Functional traits explain variation in plant life history strategies. Proceedings of the National Academy of Sciences of the United States of America, 111, 740–745.

    Not in our library10.1073/pnas.1315179111

  2. 2.

    Altwegg, R., Dummermuth, S., Anholt, B.R. & Flatt, T. (2005 ) Winter weather affects asp viper Vipera aspis population dynamics through susceptible juveniles. Oikos, 110, 55–66.

    Not in our library

  3. 3.

    Barbraud, C., Tuck, G.N., Thomson, R., Delord, K. & Weimerskirch, H. (2013 ) Fisheries bycatch as an inadvertent human‐induced evolutionary mechanism. PLoS ONE, 8, e60353.

    Not in our library10.1371/journal.pone.0060353

  4. 4.

    Barraquand, F., Høye, T.T., Henden, J.‐A., Yoccoz, N.G., Gilg, O., Schmidt, N.M. et al (2014 ) Demographic responses of a site‐faithful and territorial predator to its fluctuating prey: long‐tailed skuas and arctic lemmings. Journal of Animal Ecology, 83, 375–387.

    Not in our library10.1111/1365-2656.12140

  5. 5.

    Baxter, P.W.J., McCarthy, M.A., Possingham, H.P., Menkhorst, P.W. & McLean, N. (2006 ) Accounting for management costs in sensitivity analyses of matrix population models. Conservation Biology, 20, 893–905.

    Not in our library10.1111/j.1523-1739.2006.00378.x

  6. 6.

    Beebee, T.J. & Griffiths, R.A. (2005 ) The amphibian decline crisis: a watershed for conservation biology? Biological Conservation, 125, 271–285.

    Not in our library

  7. 7.

    Benson, D.A., Cavanaugh, M., Clark, K., Karsch‐Mizrachi, I., Lipman, D.J., Ostell, J. et al (2013 ) GenBank. Nucleic Acids Research, 41, D36–D42.

    Not in our library10.1093/nar/gks1195

  8. 8.

    Bernardelli, H. (1941 ) Population waves. Journal of the Burma Research Society, 31, 1–18.

    Not in our library

  9. 9.

    Bessa‐Gomes, C., Danek‐Gontard, M., Cassey, P., Møller, A.P., Legendre, S. & Clobert, J. (2003 ) Mating behaviour influences extinction risk: insights from demographic modelling and comparative analysis of avian extinction risk. Annales Zoologici Fennici, 40, 231–245.

    Not in our library

  10. 10.

    Bininda‐Emonds, O.R., Cardillo, M., Jones, K.E., MacPhee, R.D., Beck, R.M., Grenyer, R. et al (2007 ) The delayed rise of present‐day mammals. Nature, 446, 507–512.

    Not in our library10.1038/nature05634

  11. 11.

    Brault, S. & Caswell, H. (1993 ) Pod‐specific demography of killer whales (Orcinus orca). Ecology, 74(5), 1444–1454.

    Not in our library

  12. 12.

    Buston, P.M. & García, M.B. (2007 ) An extraordinary life span estimate for the clown anemonefish Amphiprion percula. Journal of Fish Biology, 70, 1710–1719.

    Not in our library

  13. 13.

    Caswell, H. (1978 ) A general formula for the sensitivity of population growth rate to changes in life history parameters. Theoretical Population Biology, 14, 215–230.

    Not in our library10.1016/0040-5809(78)90025-4

  14. 14.

    Caswell, H. (1989 ) Matrix Population Models, 1st edn John Wiley & Sons, Ltd., Boston, MA, USA.

    Not in our library

  15. 15.

    Caswell, H. (2001 ) Matrix Population Models, 2nd edn John Wiley & Sons, Ltd., Boston, MA, USA.

    Not in our library

  16. 16.

    Caswell, H. (2008 ) Perturbation analysis of nonlinear matrix population models. Demographic Research, 18, 59–116.

    Not in our library

  17. 17.

    Caswell, H. (2009 ) Stage, age and individual stochasticity in demography. Oikos, 118, 1763–1782.

    Not in our library

  18. 18.

    Caswell, H., Lensink, R. & Neubert, M.G. (2003 ) Demography and dispersal: life table response experiments for invasion speed. Ecology, 84, 1968–1978.

    Not in our library

  19. 19.

    Caswell, H. & Neubert, M.G. (2005 ) Reactivity and transient dynamics of discrete‐time ecological systems. Journal of Difference Equations and Applications, 11, 295–310.

    Not in our library

  20. 20.

    Caswell, H., Brault, S., Read, A.J. & Smith, T.D. (1998 ) Harbor porpoise and fisheries: an uncertainty analysis of incidental mortality. Ecological Applications, 8, 1226–1238.

    Not in our library

  21. 21.

    Chamberlain, S.A. & Szöcs, E. (2013 ) taxize: taxonomic search and retrieval in R. F1000Research, 2, 191.

    Not in our library10.12688/f1000research.2-191.v1

  22. 22.

    Charles, S., Billoir, E., Lopes, C. & Chaumot, A. (2009 ) Matrix population models as relevant modelling tools in ecotoxicology. Ecotoxicology Modeling, 2, 261–298.

    Not in our library

  23. 23.

    Cohen, J.E., Christensen, S.W. & Goodyear, C.P. (1983 ) An age‐structured fish population model with random survival of eggs: calculation of asymptotic growth rates and application to Potomac River striped bass. Canadian Journal of Fisheries and Aquatic Science, 40, 2170–2183.

    Not in our library

  24. 24.

    Colin, N. & Lebreton, J.‐D. (2005 ) Using demographic invariants to detect overharvested bird populations from incomplete data. Conservation Biology, 19, 826–835.

    Not in our library

  25. 25.

    Collen, B., Loh, J., Whitmee, S., McRae, L., Amin, R. & Baillie, J.E.M. (2009 ) Monitoring change in vertebrate abundance: the Living Planet Index. Conservation Biology, 23, 317–327.

    Not in our library10.1111/j.1523-1739.2008.01117.x

  26. 26.

    Crouse, D.T., Crowder, L.B. & Caswell, H. (1987 ) A stage‐based population model for loggerhead sea turtles and implications for conservation ecology. Ecology, 68, 1412–1423.

    Not in our library

  27. 27.

    Cushing, J.M., Costantino, R.F., Dennis, B., Desharnais, R.A. & Henson, S.M. (2003 ) Chaos in Ecology. Academic Press, New York.

    Not in our library

  28. 28.

    Darwin, J.H. & Williams, R.M. (1964 ) The effect of time of hunting on the size of a rabbit population. New Zealand Journal of Science, 7, 341–352.

    Not in our library

  29. 29.

    Decamps, S., Tarroux, A., Varpe, Ø., Yoccoz, N.G., Tveraa, T. & Larentsen, S.H. (2015 ) Demographic effects of extreme weather events: snow storms, breeding success, and population growth rate in a long‐lived Antarctic seabird. Ecology and Evolution, 5, 314–325.

    Not in our library10.1002/ece3.1357

  30. 30.

    Dempster, J.P. (1975 ) Animal Population Ecology. Academic Press, New York, NY, USA.

    Not in our library

  31. 31.

    Edmunds, P.J. (2015 ) A quarter‐century demographic analysis of the Caribbean coral, Orbicella annularis, and projections of population size over the next century. Limnology and Oceanography, 60, 840–855.

    Not in our library

  32. 32.

    Ernest, S.M. (2003 ) Life history characteristics of placental non‐volant mammals: ecological Archives E084‐093. Ecology, 84, 3402.

    Not in our library

  33. 33.

    Estay, S.A., Lima, M., Labra, F.A. & Harrington, R. (2012 ) Increased outbreak frequency associated with changes in the dynamic behaviour of populations of two aphid species. Oikos, 121, 614–622.

    Not in our library

  34. 34.

    Flemons, P., Guralnick, R., Krieger, J., Ranipeta, A. & Neufeld, D. (2007 ) A web‐based GIS tool for exploring the world's biodiversity: the global biodiversity information facility mapping and analysis portal application (GBIF‐MAPA). Ecological Informatics, 2, 49–60.

    Not in our library

  35. 35.

    Gaillard, J.‐M., Yoccoz, N.G., Lebreton, J.‐D., Bonenfant, C., Devillard, S., Loison, A. et al (2005 ) Generation time: a reliable metric to measure life‐history variation among mammalian populations. The American Naturalist, 166, 119–123.

    Not in our library10.1086/430330

  36. 36.

    Gamelon, M., Gimenez, O., Baubet, E., Coulson, T., Tuljapurkar, S. & Gaillard, J.‐M. (2014 ) Influence of life‐history tactics on transient dynamics: a comparative analysis across mammalian populations. The American Naturalist, 184, 674–683.

    Not in our library10.1086/677929

  37. 37.

    Gamelon, M., Gaillard, J.‐M., Gimenez, O., Coulson, T., Tuljapurkar, S. & Baubet, E. (2015 ) Linking demographic responses and life history tactics from longitudinal data in mammals. Oikos. doi:10.1111/oik.02582.

    Not in our library

  38. 38.

    Hedges, S.B., Marin, J., Suleski, M., Paymer, M. & Kumar, S. (2015 ) Tree of life reveals clock‐like speciation and diversification. Molecular Biology and Evolution, 32, 835–845.

    Not in our library10.1093/molbev/msv037

  39. 39.

    Heppell, S., Caswell, H. & Crowder, L.B. (2000 ) Life histories and elasticity patterns: perturbation analysis for species with minimal demographic data. Ecology, 81, 654–665.

    Not in our library

  40. 40.

    Heppell, S., Pfister, C. & de Kroon, H. (2000 ) Elasticity analysis in population biology: methods and applications. Ecology, 3, 605–606.

    Not in our library

  41. 41.

    Hill, D. (1988 ) Population dynamics of the avocet (Recurvirostra avosetta) breeding in Britain. Journal of Animal Ecology, 2, 669–683.

    Not in our library

  42. 42.

    Hoffmann, A., Penner, J., Vohland, K., Cramer, W., Doubleday, R., Henle, K. et al (2014 ) The need for an integrated biodiversity policy support process – Building the European contribution to a global Biodiversity Observation Network (EU BON). Nature Conservation, 6, 49–65.

    Not in our library

  43. 43.

    Hunter, C.M., Caswell, H., Runge, M.C., Regehr, E.V., Amstrup, S.C. & Stirling, I. (2010 ) Climate change threatens polar bear populations: a stochastic demographic analysis. Ecology, 91, 2883–2898.

    Not in our library10.1890/09-1641.1

  44. 44.

    Inchausti, P. & Halley, J. (2001 ) Investigating long‐term ecological variability using the global population dynamics database. Science, 293, 655–657.

    Not in our library10.1126/science.293.5530.655

  45. 45.

    Jenouvrier, S., Caswell, H., Barbraud, C., Holland, M., Stroeve, J. & Weimerskirch, H. (2009 ) Demographic models and IPCC climate projections predict the decline of an emperor penguin population. Proceedings of the National Academy of Sciences of the USA, 106, 1844–1847.

    Not in our library10.1073/pnas.0806638106

  46. 46.

    Jenouvrier, S., Holland, M., Strœve, J., Barbraud, C., Weimerskirch, H., Serreze, M. et al (2012 ) Effects of climate change on an emperor penguin population: analysis of coupled demographic and climate models. Global Change Biology, 18, 2756–2770.

    Not in our library10.1111/j.1365-2486.2012.02744.x

  47. 47.

    Jetz, W., Thomas, G.H., Joy, J.B., Hartmann, K. & Mooers, A.O. (2012 ) The global diversity of birds in space and time. Nature, 491, 444–448.

    Not in our library10.1038/nature11631

  48. 48.

    Jones, K.E., Bielby, J., Cardillo, M., Fritz, S.A., O'Dell, J., Orme, C.D.L. et al (2009 ) PanTHERIA: a species‐level database of life history, ecology, and geography of extant and recently extinct mammals. Ecology, 90, 2648.

    Not in our library

  49. 49.

    Jones, O.R., Scheuerlein, A., Salguero‐Gómez, R., Camarda, C.G., Schaible, R., Casper, B.B. et al (2014 ) Diversity of ageing across the tree of life. Nature, 505, 169–173.

    Not in our library10.1038/nature12789

  50. 50.

    Kawecki, T.J. (1995 ) Demography of source‐sink populations and the evolution of ecological niches. Evolutionary Ecology, 9, 38–44.

    Not in our library

  51. 51.

    van de Kerk, M., de Kroon, H., Conde, D.A. & Jongejans, E. (2013 ) Carnivora population dynamics are as slow and as fast as those of other mammals: implications for their conservation. PLoS ONE, 8, e70354.

    Not in our library10.1371/journal.pone.0070354

  52. 52.

    Keyfitz, N. (1964 ) The population projection as a matrix operator. Demography, 1, 56–73.

    Not in our library

  53. 53.

    Keyfitz, N. (1968 ) Introduction to the Mathematics of Population. Addison‐Wesley Pub. Co., Menlo Park, CA, USA.

    Not in our library

  54. 54.

    Keyfitz, N. & Flieger, W. (1968 ) World Population: An Analysis of Vital Data. University of Chicago Press, Chicago, IL, USA.

    Not in our library

  55. 55.

    Koons, D.N., Rotella, J.J., Willey, D.W., Taper, M., Clark, R.G., Slattery, S. et al (2006 ) Lesser scaup population dynamics: what can be learned from available data? Avian Conservation and Ecology, 1, art. 6.

    Not in our library

  56. 56.

    de Kroon, H., Plaisier, A., van Groenendael, J. & Caswell, H. (1986 ) Elasticity: the relative contribution of demographic parameters to population growth rate. Ecology, 67, 1427–1431.

    Not in our library

  57. 57.

    Krüger, O., Grünkorn, T. & Struwe‐Juhl, B. (2010 ) The return of the white‐tailed eagle (Haliaeetus albicilla) to northern Germany: modelling the past to predict the future. Biological Conservation, 143, 710–721.

    Not in our library

  58. 58.

    Lebreton, J.D., Devillard, S., Popy, S., Desprez, M., Besnard, A. & Gaillard, J.M. (2012 ) Towards a vertebrate demographic data bank. Journal of Ornithology, 152, 617–624.

    Not in our library

  59. 59.

    Lefkovitch, L.P. (1965 ) The study of population growth in organisms grouped by stages. Biometrika, 35, 183–212.

    Not in our library

  60. 60.

    Leslie, P.H. (1945 ) The use of matrices in certain population mathematics. Biometrika, 33, 183–212.

    Not in our library10.1093/biomet/33.3.183

  61. 61.

    Levin, S.A. (1987 ) Mathematical ecology and environmental management. Publ. ERC‐135, Ecosystems Research Center, Cornell University, Ithaca, NY, USA.

    Not in our library

  62. 62.

    Levin, S.A. & Goodyear, C.P. (1980 ) Analysis of an age‐structured fishery model. Journal of Mathematical Biology, 9(3), 245–274.

    Not in our library

  63. 63.

    de Magalhaes, J.P. & Costa, J. (2009 ) A database of vertebrate longevity records and their relation to other life‐history traits. Journal of Evolutionary Biology, 22, 1770–1774.

    Not in our library10.1111/j.1420-9101.2009.01783.x

  64. 64.

    Mannocci, L., Dabin, W., Augeraud‐Véron, E., Dupuy, J.F., Barbraud, C. & Ridoux, V. (2012 ) Assessing the impact of by‐catch on dolphin populations: the case of the common dolphin in the eastern North Atlantic. PLoS ONE, 7, e32615.

    Not in our library10.1371/journal.pone.0032615

  65. 65.

    Meslow, E.C. & Keith, L.B. (1968 ) Demographic parameters of a snowshoe hare population. Journal of Wildlife Management, 32, 812–834.

    Not in our library

  66. 66.

    Metcalf, C.J.E. & Pavard, S. (2007 ) Why evolutionary biologists should be demographers. Trends in Ecology & Evolution, 22, 205–212.

    Not in our library10.1016/j.tree.2006.12.001

  67. 67.

    Metcalf, C.J.E., McMahon, S.M., Salguero‐Gómez, R. & Jongejans, E. (2013 ) IPMpack: an R package for integral projection models. Methods in Ecology and Evolution, 4, 195–200.

    Not in our library

  68. 68.

    Metz, J.A.J. & Diekmann, O. (1986 ) The Dynamics of Physiologically Structured Populations. Springer‐Verlag, Berlin, Germany.

    Not in our library

  69. 69.

    Mitchell, M.S., Pacifici, L.B., Grand, J.B. & Powell, R.A. (2009 ) Contributions of vital rates to growth of a protected population of American black bears. Ursus, 20, 77–84.

    Not in our library

  70. 70.

    Mollet, H.F. & Cailliet, G.M. (2002 ) Comparative population demography of elasmobranchs using life history tables, Leslie matrices and stage‐based matrix models. Marine and Freshwater Research, 53, 503–515.

    Not in our library

  71. 71.

    Morris, W.F. & Doak, D.F. (2002 ) Quantitative Conservation Biology. Sinauer, Sunderland, Massachusetts, USA.

    Not in our library

  72. 72.

    Neubert, M.G. & Parker, I.M. (2004 ) Projecting rates of spread for invasive species. Risk Analysis, 24, 817–831.

    Not in our library10.1111/j.0272-4332.2004.00481.x

  73. 73.

    Ng, C.F., Possingham, H.P., McAlpine, C.A., de Villiers, D.L., Preece, H.J. & Rhodes, J.R. (2014 ) Impediments to the success of management actions for species recovery. PLoS ONE, 9, e92430.

    Not in our library10.1371/journal.pone.0092430

  74. 74.

    Nichols, J.D., Sauer, J.R., Pollock, K.H. & Hestbeck, J.B. (1992 ) Estimating transition probabilities for stage‐based population projection matrices using capture‐recapture data. Ecology, 73(1), 306–312.

    Not in our library

  75. 75.

    Olson, D.M., Dinerstein, E., Wikramanayake, E.D., Burgess, N.D., Powell, G.V.N., Underwood, E.C. et al (2001 ) Terrestrial ecoregions of the world: a new map of life on Earth. Bioscience, 51, 933–938.

    Not in our library

  76. 76.

    Ozgul, A., Oli, M.K., Armitage, K.B., Blumstein, D.T. & van Vuren, D.H. (2009 ) Influence of local demography on asymptotic and transient dynamics of a yellow‐bellied marmot metapopulation. The American Naturalist, 173, 517–530.

    Not in our library10.1086/597225

  77. 77.

    Pennycuick, L. (1969 ) A computer model of the Oxford great tit population. Journal of Theoretical Biology, 22, 381–400.

    Not in our library10.1016/0022-5193(69)90011-3

  78. 78.
  79. 79.

    Rabinovich, J.E. (1969 ) The applicability of some population growth models to a single‐species laboratory population. Annals of the Entomological Society of America, 62, 437–442.

    Not in our library

  80. 80.

    Rogers, A. (1966 ) Matrix methods of population analysis. Journal of the American Institute of Planners, 32, 40–44.

    Not in our library

  81. 81.

    Sæther, B.E. & Bakke, Ø. (2000 ) Avian life history variation and contribution of demographic traits to the population growth rate. Ecology, 81, 642–653.

    Not in our library

  82. 82.

    Salguero‐Gómez, R. & de Kroon, H. (2010 ) Matrix projection models meet variation in the real world. Journal of Ecology, 98, 250–254.

    Not in our library

  83. 83.

    Salguero‐Gómez, R., Jones, O.R., Archer, C.R., Buckley, Y.M., Che‐Castaldo, J., Caswell, H. et al (2015 ) The COMPADRE plant matrix database: an open online repository for plant demography. Journal of Ecology, 103, 202–218.

    Not in our library

  84. 84.

    Salguero‐Gómez, R., Jones, O.R., Jongejans, E., Blomberg, S., Hodgson, D., Mbeau Ache, C. et al (2015 ) The fast‐slow continuum and reproductive strategies structure plant life history variation worldwide. Proceedings of the National Academy of Sciences of the United States of America, 113, 230–235.

    Not in our library10.1073/pnas.1506215112

  85. 85.

    Salomon, Y., McCarthy, M.A., Taylor, P. & Wintle, B.A. (2013 ) Incorporating uncertainty of management costs in sensitivity analyses of matrix population models. Conservation Biology, 2791, 134–144.

    Not in our library10.1111/cobi.12007

  86. 86.

    Silvertown, J., Franco, M. & Perez‐Ishiwara, R. (2001 ) Evolution of senescence in iteroparous perennial plants. Evolutionary Ecology Research, 3, 393–412.

    Not in our library

  87. 87.

    Stearns, S.C. (1989 ) Trade‐offs in life‐history evolution. Functional Ecology, 3, 259–269.

    Not in our library

  88. 88.

    Stott, I., Hodgson, D.J. & Townley, S. (2012 ) popdemo: an R package for population demography using projection matrix analysis. Methods in Ecology and Evolution, 3, 797–802.

    Not in our library

  89. 89.

    Stott, I., Townley, S. & Hodgson, D.J. (2011 ) A framework for studying transient dynamics of population projection matrix models. Ecology Letters, 14, 959–970.

    Not in our library10.1111/j.1461-0248.2011.01659.x

  90. 90.

    Strier, K.B., Altmann, J., Brockman, D.K., Bronikowski, A.M., Cords, M., Fedigan, L.M. et al (2010 ) The Primate Life History Database: a unique shared ecological data resource. Methods in Ecology and Evolution, 1, 199–211.

    Not in our library10.1111/j.2041-210x.2010.00023.x

  91. 91.

    Stubben, C. & Milligan, B. (2007 ) Estimating and analyzing demographic models using the popbio package in R. Journal of Statistical Software, 22, 1–23.

    Not in our library

  92. 92.

    Thompson, R.C. (1969 ) On a class of matrix equation. Pacific Journal of Mathematics, 20, 289–316.

    Not in our library

  93. 93.

    Thomson, D.L., Cooch, E.G. & Conroy, M.J. (2009 ) Modeling Demographic Processes in Marked Populations. Springer‐Verlag, New York, NY, USA.

    Not in our library

  94. 94.

    Trochet, A., Moulherat, S., Calvez, O., Stevens, V.M., Clobert, J. & Schmeller, D.S. (2014 ) A database of life‐history traits of European amphibians. Biodiversity Data Journal, 2, e4123.

    Not in our library10.3897/bdj.2.e4123

  95. 95.

    Tuljapurkar, S. (1990 ) Population Dynamics in Variable Environments. Springer, Berlin, Germany.

    Not in our library

  96. 96.

    Tuljapurkar, S., Steiner, U.K. & Orzack, S.H. (2009 ) Dynamic heterogeneity in life histories. Ecology Letters, 12(1), 93–106.

    Not in our library10.1111/j.1461-0248.2008.01262.x

  97. 97.

    Vélez‐Espino, L.A., Fox, M.G. & McLaughlin, R.L. (2006 ) Characterization of elasticity patterns of North American freshwater fishes. Canadian Journal of Fisheries and Aquatic Sciences, 63, 2050–2066.

    Not in our library

  98. 98.

    Vilela, B. & Villalobos, F. (2015 ) letsR: a new R package for data handling and analysis in macroecology. Methods in Ecology and Evolution, 6, 1229–1234.

    Not in our library

  99. 99.

    Wake, D.B. & Vredenburg, V.T. (2008 ) Are we in the midst of the sixth mass extinction? A view from the world of amphibians. Proceedings of the National Academy of Sciences of the United States of America, 105, 11466–11473.

    Not in our library10.1073/pnas.0801921105

Cited by papers we hold 2

Reads

Read by people on this page

None yet.

Checked or read by AI through naulon

None yet.

A person counts once a day per paper. We keep no cookie and no address: a reader is a hash that changes every day. Any month under five reads shows no number.

Are you an author?

Is this your paper?

Claim it to add your note and be paid when agents cite it. Free.