| Estimating Survival of
Neotropical-Nearctic Migratory Birds: Are They Dead or Just Dispersed? Matthew R. Marshall1, R. Randy Wilson2, and Robert J. Cooper1
INTRODUCTION The decline of some Neotropical-Nearctic migratory landbird populations has prompted a number of demographic studies that examine the possible factors contributing to the declines. Included among the broader issues on which recent studies have focused are source-sink dynamics (e.g., Donovan et al. 1995a,b; Brawn and Robinson 1996; Robinson and Morse, this volume) and revealing how and where populations are limited (e.g., Martin and Finch 1995, Sherry and Holmes 1996). Similarly, most authors in this section of these proceedings recommend that demographic responses must be investigated if we are to understand the effects of management practices and other perturbations on bird populations. To understand the demography of most populations of Neotropical-Nearctic migrants requires estimates of three parameters: productivity (defined as the average number of fledglings produced per pair per year), annual survival rate of hatch year (HY) birds, and annual survival rate of adult or after hatch year (AHY) birds. A common approach to a demographic study is to establish one or more study plots and estimate these three parameters simultaneously for a particular local population. However, each of the three parameters needed for these site-specific demographic analyses is difficult to obtain. Data collection for productivity or fecundity (defined as the average number of female fledglings produced per female per year) estimation is labor intensive, necessitating finding and monitoring nests and following each nest attempt of individually marked adults through the nesting season (Sherry and Holmes, this volume). Models now exist that estimate seasonal fecundity based on the sample of nests actually found and monitored without requiring a marked population, provided certain life history parameters are known (Pease and Grzybowski 1995). The survival rate of HY birds is especially difficult to estimate, because these birds seldom return to their natal site to breed (Greenwood and Harvey 1982). This natal-dispersal will continue to challenge attempts at estimating annual survival for this age class until the ability to monitor between-season movements is improved. As a result, researchers often have employed the largely untested assumption that juvenile survival is half that of adults (e.g., May and Robinson 1985). Adult survival rate therefore becomes an essential parameter to estimate, and has been estimated using various approaches. The typical approach for local demographic studies is to individually mark birds after capturing them using mistnests. Targeted mistnetting can be used in conjunction with tape recordings and study mounts for the capture of both males and females, while nets can be placed at or on a nest site to capture nesting females that may not respond to tape playbacks. Based on unique color markings, birds are resighted rather than physically recaptured during a subsequent breeding season (in contrast, general mistnetting for all species, such as that performed in constant effort mistnetting [DeSante, this volume] does not target individual birds for capture and relies upon physical recaptures in a subsequent time period). The ratio of resighted birds to the total number banded the prior year can be used as a minimum number known alive estimate of survival, historically referred to as the return rate. However, it is widely recognized that differences in the ability to detect a given bird will vary with researcher effort, resighting technique, and bird behavior, resulting in several biases (Nichols 1986, Lebreton et al. 1992, Martin et al. 1995). This is one reason why many researchers are analyzing return rate data using extensions of the Cormack-Jolly-Seber (CJS) approach (Cormack 1964, Jolly 1965, Seber 1965) that incorporate the probability of resighting a bird (Lebreton et al. 1992). The objective of this approach is to arrive at the number of birds that were alive and present on the study plot, but missed by the field researcher. If resighting probability is < 1, that is, marked birds that are alive and present on the study plot go undetected, return rate will underestimate the true survival rate (Pollock et al. 1990, Martin et al. 1995). Field researchers also have recognized that where a particular plot or sampling area is searched for marked birds, the potential exists for birds to disperse from the study area. That is, a marked bird that survives to the next breeding season may not return to the study plot due to between-season breeding dispersal (Greenwood 1980). Numerous between-season, long-distance dispersal events have been recorded (Marshall et al., in review) and many anecdotal observations exist where a color-marked bird is resighted a great distance from the original place of banding. It is unknown how frequently these dispersal events occur, and therefore to what degree this phenomenon will lead to underestimates of true survival. Difficulties posed by non-territorial birds (floaters) in survival estimation have long been recognized (Nur et al., this volume) where birds disperse after initial capture, are not captured again, and are therefore indistinguishable from dead birds. Corrections can sometimes be made by omitting single-caught birds from analyses (see Nur et al., this volume). A similar situation exists where between-season breeding dispersal results in permanent emigration from the area of a local demographic study. The degree of philopatry exhibited can be affected by a variety of factors, including past reproductive performance at the previous year's breeding site (Robinson and Morse, this volume, Marshall et al., in review) and thus attempts at estimating survival become confounded with permanent dispersal. In this paper, we illustrate that the essential problem with return rate methodology is that the fate of birds which are not resighted is unknown. We discuss the historical use of the term return rate" and scenarios in which existing terminology is ambiguous and confusing; make suggestions on more consistent terminology; and provide suggestions concerning appropriate parameters to use with different study objectives. Surviving, Dispersing, and Returning: The Potential Fate of a Color-marked Bird Illustrating the possible fates of marked birds, a branching tree diagram (Figure 1) follows a bird through two time periods (years), branching at each point where one of two events could occur. For example, a marked bird could survive (SURVIVED) or die (DIED) during time period t to time period t + 1. Similarly, if a bird survives and returns to the study plot, it can be resighted (RESIGHTED) or missed (NOT RESIGHTED). We extend the diagram originally presented by Nur and Clobert (1986) to include the event that a bird could return to the study plot (ON PLOT) or off the study plot (OFF PLOT) the following year. Figure 1. Branching-tree diagram illustrating the potential fate of a marked bird over three time periods. Birds are marked in year t and then survive to year t+1 with probability S, emigrate from the study plot with probability 1-E and then, if alive and present on the study plot, are resighted with probability P. The branching continues for a second year, (t+2), generating 13 unique event-histories a marked bird could follow. A marked bird that is off-plot in year t+1 returns to the study plot in the year t+2 with probability I. A field researcher either resights (R) or does not resight (NR) the bird in t+1 and t+2, respectively (the observable events, last column).
Examination of Figure 1 reveals several important points: (1) there are 13 possible paths or unique event-histories that an individual bird could follow over these two time intervals; (2) of these 13 unique paths, only 4 separate events are observable by the field researcher who either resights (R) the bird or does not resight (NR) the bird in each of the time periods t+1 and t+2; (3) only one of the 4 observable events, (R-R), is unique in that all of the events that make up that event-history are known; (4) the other three observable events (R-NR, NR-R, and NR-NR) are confounded by the inability of the field researcher to determine whether a bird that is not resighted is dead, alive on the plot but missed, or alive and off the plot; and (5) seven of the 13 unique paths result in the bird not being resighted in either time period (NR-NR), but in only one of the seven is the bird actually dead in both periods. The associated probability of each event occurring can be assigned to each branch (Figure 1), and a particular event history can be described by its respective cumulative probability. Eachobservable event, therefore, is the sum of each of the cumulative probabilities that are described by that observable event (Table 1). Therefore, we can see that to actually model the true survival rate of the species in question from return rate data, two additional pieces of information are required for which we do not yet have good estimates. The first is the probability of a color-marked bird that was present on the study plot in year t, surviving to year t + 1 but not returning to the study plot. This is a recognized (e.g., Lebreton et al. 1992, Robinson et al. 1995) but perhaps under-appreciated phenomenon in studying migratory passerine bird demography and is likely due to the difficulty in obtaining such estimates (see below). The second and equally difficult piece of information to obtain is the probability that a marked bird that returned to an area off plot in year t+1, survives and returns to settle back on the study plot in year t+2. Table 1. Summary of each Observable Event (marked in year t and resighted (R) or not resighted (NR) in t+1 and t+2), also expressed as a Capture History (1 = resighted, 0 = not resighted), and the number (No.) of unique event-histories that are expressed by each observable event/capture history. The probability associated with a particular capture history is the sum of the cumulative probabilities of the individual event histories (Fig. 1) expressed by that capture history.
Existing and Suggested Terminology Although the probability of resighting a bird if it is alive and present on the study area is largely a function of researcher effort, the resighting probability resulting from even the most rigorous of efforts still cannot be assumed to be 1, and will likely vary across species, sexes, habitats, and years (Martin et al. 1995). Many capture-recapture software programs exist for modeling survival rates and should be used in all cases so that estimates are not biased when capture probability is < 1. If sufficient data exist, a fairly complex model with separate parameters for sex, age, habitat, or other independent variables can be supported (e.g., Clobert et al. 1988, Lebreton et al. 1992). However, an implicit assumption of these models is that the resulting survival estimate includes the complement of mortality and permanent emigration (Lebreton et al. 1992). Recognizing that dispersal is an inherent aspect of the ecology of these birds, even survival estimates that take into account resighting probability will underestimate true survival if birds disperse beyond the range of the resighting effort. While it is true that CJS models yield unbiased estimates of survival, it is potentially confusing with regards to site-specific resighting studies, because the estimates are still underestimates of true survival (the complement of actual mortality) if permanent emigration occurs. Even though these estimates are preferable to simple return rates, we cannot estimate true survival from local resighting studies until we can estimate the probability of dispersing off-plot and also the probability of settling back on the plot in a subsequent year (Figure 1). We suggest alternate terminology to be used in local demographic studies that should accomplish two tasks. First, the term itself will imply what is actually measured, and second, will modify existing terminology only slightly for clarification.
What historically has been referred to as Return Rate is now referred to as Apparent Return Rate to imply that this measure reflects only the birds that the field researcher actually encounters. Return Rate should now be the result of a model-based estimate that adjusts the Apparent Return Rate by the probability of resighting the marked birds. Here again, we are referring to the rate at which marked birds return to the study plot. This term is equivalent to a CJS estimates of survival, but more clearly implies that we are not estimating true survival, the complement of mortality. To use the term survival in the context of local, resighting studies, we must take into account dispersal of marked birds out of and into the study plot (Figure 1). IMPLICATIONS FOR DEMOGRAPHIC ANALYSES True Survival Estimates Questions involving sex-specific survival, the costs of reproduction, and other aspects of life-history theory require that true survival be estimated. Once the means for separating emigration from mortality are incorporated into sampling designs that measure return rate as a response variable, modeling true survival can be accomplished. Similar model structures already exist for estimating true survival from other sampling designs. These estimates require that a portion of the birds that emigrate from the study plots be captured, resighted, or recovered elsewhere (e.g., Lebreton and North 1993 and references therein). For example, models combining the use of capture-recapture and band recovery data (Burnham 1993) seem promising as more birds are banded nationwide. Multi-state capture-recapture models (Nichols et al. 1993), in which capture-recapture/resighting data are collected at a number of isolated breeding sites, also allow estimation of true survival as well as movement rates (e.g., Spendelow et al. 1995). The MAPS program (Desante et al. 1995), which uses a constant effort mistnetting approach, is also a means by which true survival estimates can be collected by combining data from a number of trapping locations. Treatment or Management Effects If the objective of the study is to compare demographic rates among different treatments, management options, habitats, or other factors, then return rate (modified by capture probability) is a meaningful parameter, because it reflects the multiple ways in which the population may be affected by the factor in question. Hypotheses regarding the effects of a particular treatment still can be tested with meaningful results, as long as it is recognized that the response variable includes both mortality and movements from the study area. One potential problem still exists regarding birds that may temporarily (i.e., for one breeding season) disperse from the study area (Figure 1) in response to a short-term treatment effect. These movements are important to detect, but currently are indistinguishable from birds that were simply "missed" during that year (Table 1). Source-Sink Dynamics Prompt management decisions often are needed without a complete knowledge of the system, and it may seem that underestimates of true survival are "better" because management recommendations would be more conservative. However, underestimates of survival may result in the misidentification of potential source populations (or at least stable populations) based on the measured reproductive output. Fecundity and/or juvenile survival would have to be greater than what is truly needed to balance an underestimate of adult survival. The problem is twofold, especially when considering that population models are typically female only (May and Robinson 1985) and the potential to disperse from the study is greater for females (Marshall et al. in review). First, birds that are alive, but have dispersed from the study plot, are considered dead in the "survival" component of the equation. Second, these birds are not only alive but breeding elsewhere, and their contributions to reproductive success are not included in the fecundity component. Thus we need to either incorporate dispersal from the study plot into the "survival' component, or to add their reproductive contributions to the "fecundity" component. Misidentifying a source population that is sustaining one or several sink populations could have serious conservation implications (Pulliam 1988). Pragmatic conservation recommendations with respect to these sources of uncertainty are discussed in Robinson and Morse (this volume) and Sherry and Holmes (this volume). This cautionary note reemphasizes a longstanding recommendation to obtain better information on dispersal probabilities and distances dispersed across species, sex, and age classes for a better understanding of the population dynamics and conservation needs of long-distance migrant landbirds. Eventually, some of these problems may be solved when radiotelemetry technology allows investigators to closely follow small birds over great distances and long periods of time. Until then, we hope that some of the recommendations made here will help clarify our thinking on this subject. ACKNOWLEDGMENTS This paper originated from a term project conducted in RJCs population ecology class and was enhanced by discussions with fellow graduate students and colleagues at the University of Memphis, University of Georgia, and at the workshop on ecology of migratory birds held at the University of Southern Mississippi. The manuscript was greatly improved by reviews from M. Baltz, J. Brawn, M. Conroy, C. Francis, T. Martin, C. Moore, F. R. Moore, J. Nichols, L. Powell and T. Sherry. J. Nichols and M. Conroy, in particular, clarified our thinking on this subject. LITERATURE CITED
1Warnell School of Forest Resources 2USGS Biological Resource Division |
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