Nationwide monitoring programs are important tools that quantify the status and trends of natural resources, providing important information for management and conservation decisions. These programs operate at large spatial scales with standardized protocols that require wide-spread participation. However, resource limitations can reduce participation, which can then compromise the spatial replication needed for nationwide inference. The Integrated Waterbird Management and Monitoring program is an example of a national monitoring program that could benefit from a reduction in sampling effort to facilitate increased participation and ultimately broader inference. Therefore, we examined various sampling schemes to determine whether it is possible to reduce the sampling effort while maintaining the statistical accuracy needed to support management. We found that instead of needing to census a National Wildlife Refuge, sampling effort could be reduced while accurately estimating waterfowl abundance to within 10% of the census count by surveying just two-thirds of all the sample units or three-fourths of the total survey area. Not only did this guideline apply to our five pilot National Wildlife Refuges, but it was also further validated by applying it to four additional National Wildlife Refuges. We hope that by applying this finding to other National Wildlife Refuges, we can increase participation in the program by reducing the logistical and financial burden of sampling.

Nationwide wildlife monitoring programs fill an important gap in addressing management and conservation objectives at both local and landscape scales. Programs such as the North American Bat Monitoring Protocol and Integrated Monarch Monitoring Program provide large-scale population estimates and trends, track the spread of disease, and inform protection of migration habitat (Loeb et al. 2015; Cariveau et al. 2019). These efforts rely heavily on partnerships and collaborations with various organizations to collect large amounts of data in a consistent and rigorous sampling framework, which is used to inform conservation and management (Loeb et al. 2015; Cariveau et al. 2019).

Another large-scale monitoring program, the Integrated Waterbird Management and Monitoring (IWMM) program, is designed to monitor nonbreeding waterbird populations as well as habitat conditions to provide guidance to wetland managers (Aagaard et al. 2015, 2017; Tavernia et al. 2017). Waterbirds, which include shorebirds, wading birds, and waterfowl, form a taxonomic group that has important ecological roles and economic contributions (Aagaard et al. 2015, 2017). The IWMM program was conceptualized in 2007 through a series of workshops aimed at improving local wetland management, informing regional resource acquisitions, and guiding flyway-level habitat conservation. The focus of IWMM is the nonbreeding season to identify important habitat during the migration periods because few data have been collected linking habitat to waterbird abundance during this period. Such information can help identify management actions (e.g., water manipulation, planting, and mechanical and chemical treatments to provide moist-soil habitats) that support greater abundances of waterbirds during migration (Loges el al. 2021). Since the initial protocol implementation (IWMM 2010), a 4-year pilot study was conducted that resulted in a revised protocol (Loges et al. 2017), which was again revised (Loges et al. 2021). Data have been collected from approximately 145 sites since 2008 and are stored in a centralized database accessible to managers (IWMM Database, unpublished data).

The National Wildlife Refuge System has been the lead entity implementing and collecting IWMM data since 2015. Using the IWMM protocol, units were created by dividing some or all of each participating National Wildlife Refuge (Refuge) into areas that could be sampled effectively. The number of units per Refuge varied substantially (1–136), but averaged about 18. Units also varied considerably in size (0.04–2,653 ha) based on wetland types and management level (Aagaard et al. 2015). The protocol instructs an observer(s) to conduct a census via a vantage point count and record the number and species of waterbirds present at each unit on a biweekly basis from October through April (Loges el al. 2021). Sampling time is quite variable and averages 15–20 min/unit but can exceed 1 h for some units (R. Fenwick, personal communication).

For IWMM to achieve its objective of optimizing wetland management for waterbirds during the nonbreeding period, both temporal and spatial replication are important. However, resources required to collect thorough fine-scale data can limit the number of Refuges choosing to participate in IWMM (IWMM, unpublished data), which compromises the spatial replication needed for landscape inference. Additionally, the spatial and temporal scale of this protocol can be onerous for Refuges with numerous or large units that require multiple vantage points. As such, no Refuge has strictly adhered to it over multiple years and most are unable to regularly sample all units, thus resorting to convenience sampling (IWMM, unpublished data). Although a census produces the most accurate abundance estimate, it can be logistically challenging and Refuges lack the resources to fully execute it, minimizing its benefit. Furthermore, resorting to unvalidated convenience sampling severely limits inference (Anderson 2001; Mills 2013) and can prevent the accumulation of reliable knowledge (sensu Romesburg 1981). We examined various sampling schemes to determine whether it is possible to reduce the number of units that need to be sampled while maintaining the statistical accuracy for quantifying abundance (total bird count), which is used to support management. Abundance is used to assess each Refuge's contribution to providing waterbird habitat as well as an important measure provided to the public for recreational purposes (U.S. Department of the Interior et al. 2012).

We examined whether alternative sampling protocols could produce accurate results with less sampling effort. Both random sampling and stratified random sampling produce unbiased estimates with associated measures of uncertainty (e.g., standard errors, confidence intervals, etc.) grounded in statistical theory (Cochran 1977; Thompson 2012). However, when considerable variation is present, random sampling will produce unbiased estimates with large uncertainty in the estimates (Cochran 1977; Thompson 2012). Stratification should reduce this variation (Cochran 1977; Thompson 2012). An alternative sampling method is selective sampling, which we defined as preferentially sampling some units over others based on one criterion such as unit-level waterbird abundance or unit size. Selective sampling is easier to implement relative to the other sampling methods, so it may be an appealing option and could provide counts close to the census count if unit-level variation is high. Although nonprobabilistic sampling methods (e.g., selective sampling) that rely on indices of abundance are generally not recommended because they lack measures of uncertainty and their inference is limited (Anderson 2001, Yoccoz et al. 2001; Mills 2013), few studies have compared these various sampling approaches with field data. A notable exception is McKelvey and Pearson (2001), who showed that under certain conditions, indices may be preferable to approaches that estimate detection probability. Herein, we compared the results of probabilistic vs nonprobabilistic sampling with IWMM field data.

Our overall objective was to identify a consistent methodology that maintained statistical accuracy for estimating abundance while reducing the number of units sampled. We first compared random sampling, stratified random sampling, and selective sampling across five pilot Refuges to determine which method more consistently yielded estimates within 10% of the true count of all the units. Next, we tested for an effect of unit size on relative abundance. Finally, we were ultimately interested in providing a recommendation to other Refuges, so we validated our findings at four additional Refuges to examine the robustness of our findings.

Bird surveys

Waterbirds were surveyed in the nonbreeding season (October–April) from 2015 to 2019 according to the IWMM protocol (Loges et al. 2017). Each Refuge established management units that were sampled for waterbirds during migration from October to April. Sampling consisted of an intensive area-search during which observers (agency staff and volunteers) recorded all birds detected to species level (Aagaard et al. 2015). There was no consistent way to account for detection probability because of the variety of habitats and species surveyed. Although not accounting for detection could increase uncertainty in the abundance estimates, bird surveys were conducted from fixed locations that maximized visibility (Aagaard et al. 2015). See Loges et al. (2021) for full protocol. We downloaded data from the IWMM database and made them available as Supplemental Material (Data S1–S9, Supplemental Material).

Selection of Refuges

We selected five pilot Refuges to analyze based on the following criteria: 1) each Refuge had to have a minimum of 2 (preferably 3–4) years of data using the revised IWMM protocol (Loges et al. 2017); 2) each Refuge had to have approximate biweekly sampling in the nonbreeding season (October thru April) of ≥50% of all units (preferably 75–100%); 3) a minimum of five (preferably 10–25) units had to be surveyed; 4) finally, there had to be a minimum recorded count of 10,000 waterfowl each year on each Refuge, ensuring that these Refuges provide substantial waterfowl habitat. The Refuges selected were Wallkill River National Wildlife Refuge in New Jersey, Salt Plains National Wildlife Refuge in Oklahoma, Alligator River National Wildlife Refuge in North Carolina, Loess Bluffs National Wildlife Refuge in Missouri, and Prime Hook National Wildlife Refuge in Delaware (Table 1, Figure 1). These Refuges span the Atlantic, Mississippi and Central flyways, providing inference for various habitat conditions for waterbirds across the United States.

Table 1.

Site summaries for the five pilot National Wildlife Refuges. At each Refuge, we examined various sampling schemes to determine whether it is possible to reduce the area that needs to be sampled while maintaining accurate waterfowl abundance estimates. Refuge data spanned 2015–2019.

Site summaries for the five pilot National Wildlife Refuges. At each Refuge, we examined various sampling schemes to determine whether it is possible to reduce the area that needs to be sampled while maintaining accurate waterfowl abundance estimates. Refuge data spanned 2015–2019.
Site summaries for the five pilot National Wildlife Refuges. At each Refuge, we examined various sampling schemes to determine whether it is possible to reduce the area that needs to be sampled while maintaining accurate waterfowl abundance estimates. Refuge data spanned 2015–2019.
Figure 1.

Integrated Waterbird Management Monitoring survey units on (A) Wallkill River National Wildlife Refuge, Sussex and Orange counties, New Jersey; (B) Salt Plains National Wildlife Refuge, Alfalfa County, Oklahoma; (C) Alligator River National Wildlife Refuge, Dare and Hyde Counties, North Carolina; (D) Loess Bluffs National Wildlife Refuge, Holt County, Missouri; and (E) Prime Hook National Wildlife Refuge, Sussex County, Delaware. Red lines indicate unit boundaries as of 2019. See Figure 2 for the spatial context of each Refuge.

Figure 1.

Integrated Waterbird Management Monitoring survey units on (A) Wallkill River National Wildlife Refuge, Sussex and Orange counties, New Jersey; (B) Salt Plains National Wildlife Refuge, Alfalfa County, Oklahoma; (C) Alligator River National Wildlife Refuge, Dare and Hyde Counties, North Carolina; (D) Loess Bluffs National Wildlife Refuge, Holt County, Missouri; and (E) Prime Hook National Wildlife Refuge, Sussex County, Delaware. Red lines indicate unit boundaries as of 2019. See Figure 2 for the spatial context of each Refuge.

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Figure 2.

Locations of the five pilot National Wildlife Refuges and four validation National Wildlife Refuges used to formulate Integrated Waterbird Management Monitoring sampling recommendations. Data spanning 2015–2019 from the pilot Refuges were used to formulate the recommendations and the validation sites were used to test the recommendations.

Figure 2.

Locations of the five pilot National Wildlife Refuges and four validation National Wildlife Refuges used to formulate Integrated Waterbird Management Monitoring sampling recommendations. Data spanning 2015–2019 from the pilot Refuges were used to formulate the recommendations and the validation sites were used to test the recommendations.

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Subsampling

To examine whether it is possible to maintain statistical accuracy while reducing sampling effort, we evaluated three different methods of subsampling. We compared random sampling, stratified random sampling, and selective sampling based on abundance of units. Before we began subsampling, we ensured that each Refuge evenly surveyed every unit by subsetting data, excluding units and dates that were only partially surveyed. This resulted in a data set where every unit on each Refuge was surveyed on every sampling occasion.

We tested subsampling methods with differing guilds and count metrics. We considered the response of waterfowl, dabbling ducks (subset of waterfowl), and shorebirds (only Prime Hook had enough data to include shorebirds). We considered three responses for each grouping of waterbirds. The first response was the abundance (total count of all birds on all units) on each survey date. The second response was the yearly abundance (total count of all birds on all units) from October to April of each year. The final response was yearly bird use-days from October to April, which approximates the total number of birds estimated to use the Refuge over the nonbreeding period. We downloaded use-days from the IWMM database, which converts bird observations to use-days by following the area under the curve approach (Farmer and Durbian 2006).

For all methods of random subsampling, we performed 10,000 simulations. For each iteration, we removed a unit(s) and calculated whether or not the estimated abundance was within 10% of the census value for relative abundance. We chose 10% as a threshold after consulting with biologists for a value that was close enough to truth for management purposes. Our approach for random sampling was to randomly remove units, then sum the remaining bird counts. That approach would lead to a negative bias because birds in the removed units would not be counted, so we then adjusted the summed count by extrapolating the count for the whole Refuge while assuming a uniform density throughout the Refuge (Cochran 1977; Thompson 2012; see Text S1, Supplemental Material for an example). We sequentially removed units one at a time until just one was left to sample.

We also subsampled each Refuge based on stratified random sampling. We ranked units on each Refuge by abundance and divided them into two equal strata: high and low, with the exception of Loess Bluffs, which had an odd number of units. In that case, we included one more unit in the large strata. We then randomly sampled each stratum in the same manner as above and summed the estimated abundance of each of the two strata, thus yielding an abundance estimate for each Refuge.

Lastly, we selectively subsampled each Refuge. We defined selective sampling as preferentially sampling some units over others based on one criterion such as unit-level waterbird abundance or unit size. We first selectively sampled units with greater relative abundances. To simulate selective subsampling, we removed the unit with the lowest total abundance (across all years surveyed) and then summed the remaining bird counts. Next, we continued sequentially, by removing the two units with the lowest abundances and again summing the remaining bird counts. We continued this sampling scheme until only one unit was left. This yielded raw counts of birds resulting from selectively sampling varying amounts of units. We then compared three methods for assessing relative abundance from these raw counts. The first method was the unadjusted raw count, which was the summation of the actual counts of all the units included in the subsample. The other two methods adjusted for the fact that the subsample did not include our entire study area, so we corrected our count to reflect the abundance for the entire study area. With selective sampling, density from the unsurveyed area will almost certainly be lower than the density from the surveyed area because the unsurveyed area was chosen on the basis of its low abundance. This contrasts with random sampling, which assumes equal densities between the surveyed and unsurveyed areas. Therefore, instead of directly extrapolating from the surveyed area to the unsurveyed area, we instead tested two a priori but arbitrary corrections that assumed the unsurveyed area had half or one-quarter the abundance extrapolated from the surveyed area. We implemented those corrections by first calculating the extrapolated abundance for the unsurveyed area in the same manner as with the random sample and then dividing that extrapolated abundance by two or four for the half and quarter correction, respectively (see Text S1, Supplemental Material for an example).

Effects of unit size on abundance

Selective sampling relies on knowledge of each unit's abundance; therefore, it might not be feasible for Refuges that have no prior data on abundance. We tested whether unit size could predict abundance as an alternative option. We built mixed-effects models using package “lme4” (Bates et al. 2015) in Program R (version 3.6.0; R Core Team 2019). For each Refuge, we constructed a Poisson generalized linear model with the count of each waterfowl species as the response and a fixed effect of unit size as the predictor. Finally, we tested whether selective sampling by removing the smallest units could provide similar inference as selective sampling by removing the units with the lowest abundances. We performed all analyses in Program R (version 3.6.0; R Core Team 2019).

Subsampling

Selective sampling performed much better than both random sampling and stratified random sampling. A greater percentage of the estimates for waterfowl abundance from selective sampling were within 10% of the census values for waterfowl abundance than from random and stratified random sampling (Tables 26). Results for daily relative abundance and use-days have the same trends as do the results for dabbling ducks and shorebirds (Text S2, Supplemental Material).

Table 2.

The percent of instances where various subsampling schemes at Alligator River National Wildlife Refuge (North Carolina) are within 10% of the true yearly count of waterfowl abundance. Refuge data were from 2016 to 2019. Percent of area removed only applies to selective sampling.

The percent of instances where various subsampling schemes at Alligator River National Wildlife Refuge (North Carolina) are within 10% of the true yearly count of waterfowl abundance. Refuge data were from 2016 to 2019. Percent of area removed only applies to selective sampling.
The percent of instances where various subsampling schemes at Alligator River National Wildlife Refuge (North Carolina) are within 10% of the true yearly count of waterfowl abundance. Refuge data were from 2016 to 2019. Percent of area removed only applies to selective sampling.
Table 3.

The percent of instances where various subsampling schemes at Loess Bluffs National Wildlife Refuge (Missouri) are within 10% of the true yearly count of waterfowl abundance. Refuge data were from 2015 to 2019. Percent of area removed only applies to selective sampling.

The percent of instances where various subsampling schemes at Loess Bluffs National Wildlife Refuge (Missouri) are within 10% of the true yearly count of waterfowl abundance. Refuge data were from 2015 to 2019. Percent of area removed only applies to selective sampling.
The percent of instances where various subsampling schemes at Loess Bluffs National Wildlife Refuge (Missouri) are within 10% of the true yearly count of waterfowl abundance. Refuge data were from 2015 to 2019. Percent of area removed only applies to selective sampling.
Table 4.

The percent of instances where various subsampling schemes at Prime Hook National Wildlife Refuge (Delaware) are within 10% of the true yearly count of waterfowl abundance. Refuge data were from 2015 to 2019. Percent of area removed only applies to selective sampling.

The percent of instances where various subsampling schemes at Prime Hook National Wildlife Refuge (Delaware) are within 10% of the true yearly count of waterfowl abundance. Refuge data were from 2015 to 2019. Percent of area removed only applies to selective sampling.
The percent of instances where various subsampling schemes at Prime Hook National Wildlife Refuge (Delaware) are within 10% of the true yearly count of waterfowl abundance. Refuge data were from 2015 to 2019. Percent of area removed only applies to selective sampling.
Table 5.

The percent of instances where various subsampling schemes at Salt Plains National Wildlife Refuge (Oklahoma) are within 10% of the true yearly count of waterfowl abundance. Refuge data were from 2017 to 2019. Percent of area removed only applies to selective sampling.

The percent of instances where various subsampling schemes at Salt Plains National Wildlife Refuge (Oklahoma) are within 10% of the true yearly count of waterfowl abundance. Refuge data were from 2017 to 2019. Percent of area removed only applies to selective sampling.
The percent of instances where various subsampling schemes at Salt Plains National Wildlife Refuge (Oklahoma) are within 10% of the true yearly count of waterfowl abundance. Refuge data were from 2017 to 2019. Percent of area removed only applies to selective sampling.
Table 6.

The percent of instances where various subsampling schemes at Wallkill River National Wildlife Refuge (New Jersey) are within 10% of the true yearly count of waterfowl abundance. Refuge data were from 2015 to 2019. Percent of area removed only applies to selective sampling.

The percent of instances where various subsampling schemes at Wallkill River National Wildlife Refuge (New Jersey) are within 10% of the true yearly count of waterfowl abundance. Refuge data were from 2015 to 2019. Percent of area removed only applies to selective sampling.
The percent of instances where various subsampling schemes at Wallkill River National Wildlife Refuge (New Jersey) are within 10% of the true yearly count of waterfowl abundance. Refuge data were from 2015 to 2019. Percent of area removed only applies to selective sampling.

Although the selective sampling methods all performed well, some methods outperformed others. The half and quarter corrections generally outperformed the raw counts for selective sampling (Tables 26). The quarter correction consistently outperformed the half correction although there was some site-level variation. Nonetheless, we found that by applying the quarter area correction and sampling at least two-thirds of the units on the Refuge, the estimated abundance was always within 10% of the yearly census values for all five pilot Refuges. Alternatively, the guideline could also be reparametrized in terms of fraction of total area to survey instead of number of units. Under this alternative parameterization, applying the quarter area correction and sampling at least three-quarters of the total area of the units with the highest relative abundances provides abundance estimates that were always within 10% of the true yearly counts. To further test these rules and see if the quarter area correction continued to perform best, we validated these generalizations with four other Refuges.

Validation

We tested the generalizations we found with the five pilot Refuges with four additional Refuges: Mattamuskeet National Wildlife Refuge in North Carolina, Two Rivers National Wildlife Refuge in Illinois, Tishomingo National Wildlife Refuge in Oklahoma, and Shiawassee National Wildlife Refuge in Michigan. We again ensured that each Refuge evenly surveyed every unit throughout the nonbreeding season. Next, we excluded one-third of the units that had the lowest abundance and then applied the three methods of selective sampling to the subsample: no correction (raw counts), quarter correction, and half correction. All methods were within 5% of true abundance (Tables 710). The quarter correction method performed the best and was always within 2% of true abundance (Tables 710). Finally, we again excluded the units that had the lowest abundances, but this time cumulatively represented as close to but not over one-quarter of the total area of all the units, and we again applied the three methods of selective sampling to the subsample: no correction (raw counts), quarter, and half correction. Again, the quarter correction method performed the best and was always within 4% of true abundance (Tables 810). We did not include Mattamuskeet because the unit with the lowest abundance was greater than one-quarter of the total area.

Table 7.

Deviation from true yearly abundance of waterfowl resulting from selectively sampling survey units with the highest abundances at Mattamuskeet National Wildlife Refuge (North Carolina).

Deviation from true yearly abundance of waterfowl resulting from selectively sampling survey units with the highest abundances at Mattamuskeet National Wildlife Refuge (North Carolina).
Deviation from true yearly abundance of waterfowl resulting from selectively sampling survey units with the highest abundances at Mattamuskeet National Wildlife Refuge (North Carolina).
Table 8.

Deviation from true yearly abundance of waterfowl resulting from selectively sampling survey units with the highest abundances at Two Rivers National Wildlife Refuge (Illinois).

Deviation from true yearly abundance of waterfowl resulting from selectively sampling survey units with the highest abundances at Two Rivers National Wildlife Refuge (Illinois).
Deviation from true yearly abundance of waterfowl resulting from selectively sampling survey units with the highest abundances at Two Rivers National Wildlife Refuge (Illinois).
Table 9.

Deviation from true yearly abundance of waterfowl resulting from selectively sampling survey units with the highest abundances at Tishomingo National Wildlife Refuge (Oklahoma).

Deviation from true yearly abundance of waterfowl resulting from selectively sampling survey units with the highest abundances at Tishomingo National Wildlife Refuge (Oklahoma).
Deviation from true yearly abundance of waterfowl resulting from selectively sampling survey units with the highest abundances at Tishomingo National Wildlife Refuge (Oklahoma).
Table 10.

Deviation from true yearly abundance of waterfowl resulting from selectively sampling survey units with the highest abundances at Shiawassee National Wildlife Refuge (Michigan).

Deviation from true yearly abundance of waterfowl resulting from selectively sampling survey units with the highest abundances at Shiawassee National Wildlife Refuge (Michigan).
Deviation from true yearly abundance of waterfowl resulting from selectively sampling survey units with the highest abundances at Shiawassee National Wildlife Refuge (Michigan).

Effects of unit size on abundance

Eight out of the nine Refuges had significant positive effects of unit size on abundance (z-value > 51.07, P < 0.01), meaning larger units were associated with greater waterfowl abundances. Prime Hook Refuge also had a significant effect of size (z-value = −116.1, P < 0.01), but it was negative, indicating that larger units were associated with lower waterfowl abundances. Selective sampling according to unit size worked well for most Refuges but not all. All methods of selective sampling according to unit size were within 10% of true abundance for Salt Plains, Loess Bluffs, Alligator River, Mattamuskeet, Two Rivers, Tishomingo, and Shiawassee (Text S3, Supplemental Material). However, all selective sampling methods according to unit size underestimated true abundance by 20–30% in Wallkill River and Prime Hook (Text S3, Supplemental Material).

We found that selectively sampling units with the largest overall abundances consistently outperformed random and stratified random sampling at all levels of subsampling. Specifically, selectively sampling at least two-thirds of the units or three-quarters of the total unit area and applying the quarter area correction consistently produced estimates within 10% of true abundance. This generalization held true when applied to other Refuges, which also provided support for the quarter area correction, yielding estimates closest to true abundance. Finally, although we found support for an effect of unit size on abundance, selectively subsampling by unit size instead of abundance did not yield consistently accurate abundance estimates in all cases.

Although random sampling is a hallmark of a strong study design (Cochran 1977; Thompson 2012; Mills 2013), we found that selective sampling outperformed it. Random sampling is needed to provide unbiased results (Cochran 1977; Thompson 2012). However, when considerable variation is present, such as unit-level estimates of relative abundance of waterbirds, random sampling will produce unbiased estimates with large confidence intervals indicating large uncertainty in the estimates (Cochran 1977; Thompson 2012). In our case, we were less interested in an unbiased estimate with high uncertainty than in an estimate closest to the true relative abundance, even if the estimate was biased, as in the case of uncorrected, raw counts. Thus, it proved better to focus sampling on the units that contributed the most information to our estimates.

Stratified random sampling generally resulted in modest increases in accuracy relative to simple random sampling. This was especially true for Refuges with more units (e.g., Alligator River Refuge [18] and Loess Bluffs Refuge [25]). However, selective sampling far outperformed both stratified and simple random sampling. Theoretically, stratification almost always lowers variance compared with simple random sample, although it can sometimes increase variance (Cochran 1977; Thompson 2012). We found that with small sample sizes, simple random sampling outperformed stratified random sampling. This result may be due to only using two strata or because stratification was based on abundance rather than density. Indeed, stratifying by density instead of abundance and increasing the number of strata resulted in improved estimates (Text S4, Supplemental Material). However, despite these improvements, selective sampling still performed far better (Text S4, Supplemental Material).

Selective sampling with no correction for area unsurveyed performed quite well. This method consistently resulted in biased-low estimates unless there were no birds on any of the unsurveyed units (which was almost never the case). Despite this bias, this method performed well, likely because units with greater abundances were disproportionately influencing the final estimate. Therefore, as long as all units with high abundances were included it was not always necessary to correct for the unsurveyed units with low abundance.

Our generalization that sampling at least two-thirds of the units or three-quarters of the total unit area and applying the quarter area correction consistently produced accurate estimates is likely conservative. The potential number of units to not sample and still get accurate estimates was constrained by Prime Hook and Wallkill River, which only had six and eight units, respectively. For the other three Refuges that had 16–25 units, a minimum of 16–44% of units needed to be surveyed to obtain accurate estimates. Thus, our recommendation of two-thirds of units is likely conservative, especially for Refuges that have a lot of units. For the three-quarter area recommendation, once Wallkill is excluded, a minimum of 52–67% of the area needed to be surveyed to obtain accurate estimates, again implying that our three-quarter area recommendation is conservative. Although these recommendations may prove useful for Refuges that have little to no data following IWMM protocols; for Refuges that do have IWMM data, site-specific protocols may be more suitable to minimize the sampling needed. For example, a site-specific protocol in Loess Bluffs with an objective of estimating yearly abundance might recommend sampling only 4 out of 25 units, because this level of sampling coupled with the quarter area correction always produced estimates within 10% of true relative abundance for that Refuge. Although site-specific protocols are useful, we were most interested in establishing a consistent national methodology and providing general recommendations to additional Refuges that lack data necessary for site-specific protocols.

We validated our generalization that selectively sampling at least two-thirds of the units or three-quarters of the area and applying a quarter correction consistently produced estimates within 10% of true abundance using data from four different Refuges. Testing our results with independent data is vital to ensure their applicability beyond sites included in the analyses used in their formation. It is encouraging that all estimates made from selective sampling were within 5% of true abundance for the validation at four Refuge sites using the two-thirds-units recommendation and within 4% for estimates made using the quarter correction and three-quarters-area recommendation. Nonetheless, it is important to note that many of the Refuges used for validation were in the same states as the original Refuges. Accordingly, we were careful to include Shiawassee for validation because this Refuges is not only in a different state, Michigan, but also in a different region of North America, the upper Midwest. We are hopeful that as more Refuges provide data, we will be able to test this method in other regions across the United States.

In addition to providing the most accurate estimates, selective sampling has additional advantages as well as a few drawbacks. Selective sampling is the easiest sampling method for Refuges to implement because it is most similar to their previous methodology (IWMM, unpublished data). More importantly, a selective sampling framework is most amenable to understanding the effects of management actions on waterbird abundance, a goal of IWMM (Loges et al. 2021). Typically, management actions occur at the unit level. Consistent monitoring of the same unit over time is imperative to understanding the effects of management actions. Selective sampling consistently monitors all the units with the greatest waterbird abundances and provides an ideal framework to incorporate additional units into the monitoring, in case management is applied to low abundance units. In contrast, probabilistic sampling does not allow for inclusion of additional units. If any unit subjected to management was not included in the probabilistic sample, data from that unit would not contribute information toward Refuge-wide abundance. Although there are potential workarounds (e.g., stratifying by management action) in essence, managers using probabilistic sampling would likely have to undergo the inefficient process of collecting separate data to estimate Refuge-wide abundance and quantify the effects of management actions. However, despite the advantages of selective sampling, it does have a few drawbacks. With selective sampling, there is no method to assess the uncertainty in the estimate of abundance (Link and Nichols 1994; Anderson 2001; Yoccoz et al. 2001) and inference strictly applies only to the units sampled (Hulbert 1984; Anderson 2001). Despite these limitations, selective sampling consistently yields estimates closest to truth, is easily implemented, and allows for straightforward integration of additional units important for management, making it useful for managers seeking to minimize sampling effort.

We found strong support for an effect of unit size on waterfowl abundance with larger units having greater abundances. This finding is intuitive because these units provide more area to support more birds and possibly more varied habitats (Blake and Karr 1987; Riffell et al. 2001). However, we found the opposite relationship at Prime Hook with larger units having smaller abundances. Prime Hook had the smallest number of units (6). In addition, this relationship is probably driven by the fact that the two largest units had the lowest abundances. These largest units had lower diversity of food resources and more open water (A. Larsen, personal communication). These factors may result in differing species-level habitat selection (Riffell et al. 2001). Prime Hook aside, the strong relationship between abundance and unit size did not always yield strong inference from selective sampling by unit size. This is likely due to other factors in addition to unit size influencing abundance, wetland habitat type likely being chief among them. For example, a small deep lake will likely have many more diving ducks than a large agriculture field. Thus, although selective sampling by unit size can work in some Refuges, it may be problematic to use in others.

Ideally, managers would survey all units every year with a consistent sampling design. Logistical and financial challenges render that prodigious for many survey efforts. Therefore, a sampling framework that allows some units to be unsurveyed is an important tool to develop. Our sampling recommendations require abundance information on each unit, which can only be obtained by sampling every unit the first year. We also recommend periodic resampling of all units at least every 5 y to ensure that unit-level abundance has not changed (Text S5, Supplemental Material). If sampling all units is impossible, we recommend considering both unit size and unit abundance when determining which units to survey and which ones to skip. Larger units and units thought to have greater abundances should be surveyed, whereas smaller units and units thought to have low abundance should be skipped. Importantly, if units are chosen without having abundance information for all units, the inference is limited to the units surveyed. However, consistent sampling of the same units through time still produces valuable trend information.

An important consideration for selective sampling is that it biases sampling toward habitats preferred by the most abundant species. If a species of management interest is not very abundant and selects different habitat compared with the most abundant species, then sampling the units with the greatest abundances will result in an underrepresentation of the species of management interest. In this situation, random sampling may be a better alternative.

Our recommendations only pertain to estimating abundance across all survey units. If the survey units encompass the entire Refuge, then our abundance estimate applies to the Refuge. However, if certain parts of the Refuge are not surveyed, then the abundance estimate only applies to the area surveyed but not the entire Refuge. Also, some Refuges might have additional objectives in addition to quantifying total abundance. For instance, they might be interested in assessing bird responses across units with differing management histories, necessitating sampling of all units with management histories of interest. Unit areas vary, so density rather than abundance is the appropriate metric to use when comparing bird counts among units.

Please note: The Journal of Fish and Wildlife Management is not responsible for the content or functionality of any supplemental material. Queries should be directed to the corresponding author for the article.

Text S1. Examples of area corrections used to estimate waterfowl abundance using random sampling and selective sampling with both half and quarter corrections. Corrections were used to adjust waterfowl abundances from nine National Wildlife Refuges spanning 2015–2019.

Available: https://doi.org/10.3996/JFWM-20-037.S1 (21 KB DOCX)

Text S2. Results from subsampling various metrics of waterfowl abundance based on unit-level abundance from five pilot Refuges: Alligator River National Wildlife Refuge (North Carolina), Loess Bluffs National Wildlife Refuge (Missouri), Prime Hook National Wildlife Refuge (Delaware), Salt Plains National Wildlife Refuge (Oklahoma), and Wallkill River National Wildlife Refuge (New Jersey). The abundance metrics included daily counts, yearly counts and yearly use-days for waterfowl, dabbling duck, and shorebird abundance from 2015 to 2019.

Available: https://doi.org/10.3996/JFWM-20-037.S2 (71 KB DOCX)

Text S3. Results from subsampling various metrics of waterfowl abundance based on unit size from five pilot Refuges: Alligator River National Wildlife Refuge (North Carolina), Loess Bluffs National Wildlife Refuge (Missouri), Prime Hook National Wildlife Refuge (Delaware), Salt Plains National Wildlife Refuge (Oklahoma), and Wallkill River National Wildlife Refuge (New Jersey), and four refuges used for validation: Mattamuskeet National Wildlife Refuge (North Carolina), Shiawassee National Wildlife Refuge (Michigan), Tishomingo National Wildlife Refuge (Oklahoma), and Two Rivers National Wildlife Refuge (Illinois) from 2015 to 2019.

Available: https://doi.org/10.3996/JFWM-20-037.S3 (27 KB DOCX)

Text S4. Results from subsampling of waterfowl abundance from Salt Plains National Wildlife Refuge, Alfalfa County, Oklahoma (2017–2019) based on various stratified subsampling schemes. Strata were determined by waterfowl abundance and by waterfowl density. In addition, the number of strata were varied.

Available: https://doi.org/10.3996/JFWM-20-037.S4 (40 KB DOCX)

Text S5. Methodology used to determine the recommended frequency of sampling all units within a Refuge. We used 2015–2019 data from the five pilot Refuges to determine the recommendations.

Available: https://doi.org/10.3996/JFWM-20-037.S5 (19 KB DOCX)

Data S1. Microsoft Excel file of bird counts at Alligator River National Wildlife Refuge (North Carolina) from 2016 to 2019. The bird count and bird codes columns provided the data used in the analyses.

Available: https://doi.org/10.3996/JFWM-20-037.S6 (442 KB XLSX)

Data S2. Microsoft Excel file of bird counts at Loess Bluffs National Wildlife Refuge (Missouri) from 2015 to 2019. The bird count and bird codes columns provided the data used in the analyses.

Available: https://doi.org/10.3996/JFWM-20-037.S7 (2.08 MB XLSX)

Data S3. Microsoft Excel file of bird counts at Mattamuskeet National Wildlife Refuge (North Carolina) from 2015 to 2019. The bird count and bird codes columns provided the data used in the analyses.

Available: https://doi.org/10.3996/JFWM-20-037.S8 (930 KB XLSX)

Data S4. Microsoft Excel file of bird counts at Prime Hook National Wildlife Refuge (Delaware) from 2015 to 2019. The bird count and bird codes columns provided the data used in the analyses.

Available: https://doi.org/10.3996/JFWM-20-037.S9 (2.25 MB XLSX)

Data S5. Microsoft Excel file of bird counts at Salt Plains National Wildlife Refuge (Oklahoma) from 2017 to 2019. The bird count and bird codes columns provided the data used in the analyses.

Available: https://doi.org/10.3996/JFWM-20-037.S10 (306 KB XLSX)

Data S6. Microsoft Excel file of bird counts at Shiawassee National Wildlife Refuge (Michigan) from 2015 to 2019. The bird count and bird codes columns provided the data used in the analyses.

Available: https://doi.org/10.3996/JFWM-20-037.S11 (2.7 MB XLSX)

Data S7. Microsoft Excel file of bird counts at Tishomingo National Wildlife Refuge (Oklahoma) from 2017 to 2019. The bird count and bird codes columns provided the data used in the analyses.

Available: https://doi.org/10.3996/JFWM-20-037.S12 (602 KB XLSX)

Data S8. Microsoft Excel file of bird counts at Two Rivers National Wildlife Refuge (Illinois) from 2016 to 2019. The bird count and bird codes columns provided the data used in the analyses.

Available: https://doi.org/10.3996/JFWM-20-037.S13 (426 KB XLSX)

Data S9. Microsoft Excel file of bird counts at Wallkill River National Wildlife Refuge (New Jersey) from 2015 to 2019. The bird count and bird codes columns provided the data used in the analyses.

Available: https://doi.org/10.3996/JFWM-20-037.S14 (516 KB XLSX)

Reference S1.[IWMM] Integrated Waterbird Management and Monitoring Program. 2010. Integrated waterbird management and monitoring program of the Atlantic and Mississippi flyways, habitat quality sub-team, monitoring manual. Laurel, Maryland: Patuxent Wildlife Research Center.

Available: https://doi.org/10.3996/JFWM-20-037.S15 (2.59 MB PDF)

Reference S2. Loeb SC, Rodhouse TJ, Ellison LE, Lausen CL, Reichard JD, Irvine KM, Ingersoll TE, Coleman JTH, Thogmartin WE, Sauer JR, Francis CM, Bayless ML, Stanley TR, Johnson DH. 2015. A plan for the North American Bat Monitoring Program (NABat). U.S. Forest Service General Technical Report.

Available: https://doi.org/10.3996/JFWM-20-037.S16 (22.05 MB PDF) and https://www.srs.fs.usda.gov/pubs/gtr/gtr_srs208.pdf

Reference S3. Loges BW, Tavernia BG, Wilson AM, Hagy HM, Stanton JD, Herner-Thogmartin JH, Jones T, Wires L. 2021. National protocol framework for the inventory and monitoring of nonbreeding waterbirds and their habitats. V2.1. Fort Collins, Colorado: Natural Resources Program Center.

Available: https://doi.org/10.3996/JFWM-20-037.S17 (10.73 MB PDF) and https://ecos.fws.gov/ServCat/Reference/Profile/135419

Reference S4. Loges BW, Tavernia BG, Wilson AM, Stanton JD, Herner-Thogmartin JH, Jones T, Wires L. 2017. National protocol framework for the inventory and monitoring of nonbreeding waterbirds and their habitats, an Integrated Waterbird Management and Monitoring (IWMM) approach. Fort Collins, Colorado: Natural Resources Program Center.

Available: https://doi.org/10.3996/JFWM-20-037.S18 (8.49 MB PDF) and https://www.iwmmprogram.org/documents/IWMM_NationalProtocolFW_V2.pdf

Reference S5. Tavernia BG, Stanton JD, Lyons JE. 2017. Integrated wetland management for waterfowl and shorebirds at Mattamuskeet National Wildlife Refuge, North Carolina. U.S. Geological Survey Open-File Report 2017-1052.

Available: https://doi.org/10.3996/JFWM-20-037.S19 (10.23 MB PDF) and https://pubs.usgs.gov/of/2017/1052/ofr20171052.pdf

Reference S6.U.S. Department of the Interior, Environment Canada, and Environment and Natural Resources Mexico. 2012. North American Waterfowl Management Plan: people conserving waterfowl and wetlands. Washington, D.C.: U.S. Department of the Interior.

Available: https://doi.org/10.3996/JFWM-20-037.S20 (2.73 MB PDF) and https://www.fws.gov/migratorybirds/pdf/management/NAWMP/2012NAWMP.pdf

Financial support to A.V.K. was provided by the U.S. Fish and Wildlife Service Directorate Fellowship Program and Student Conservation Association administered the program. We thank all the volunteers and Refuge staff who collected the data as well as the nine Refuges that contributed data: Alligator River National Wildlife Refuge, Loess Bluffs National Wildlife Refuge, Mattamuskeet National Wildlife Refuge, Prime Hook National Wildlife Refuge, Salt Plains National Wildlife Refuge, Shiawassee National Wildlife Refuge, Tishomingo National Wildlife Refuge, Two Rivers National Wildlife Refuge, Wallkill National Wildlife River Refuge. Jana Newman provided valuable insights and guidance. Rob Fenwick and Cat de Vlaming helped navigate the database. Heath Hagy, Brian Loges, David Haukos, and two anonymous reviewers provided helpful feedback that improved earlier versions of this manuscript.

Any use of trade, product, website, or firm names in this publication is for descriptive purposes only and does not imply endorsement by the U.S. Government.

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The findings and conclusions in this article are those of the author(s) and do not necessarily represent the views of the U.S. Fish and Wildlife Service.

Author notes

Citation: Kumar AV, Rice MB. 2021. Optimized survey design for monitoring protocols: a case study of waterfowl abundance. Journal of Fish and Wildlife Management 12(2):572–584; e1944-687X. https://doi.org/10.3996/JFWM-20-037

Supplemental Material