Introduction

This paper extends demographers’ traditional approaches to estimating local populations using symptomatic data. We augmented those approaches in order to track one community’s de facto population—both its permanent residents (“Census population”) and other sojourners—and assorted others in residence for shorter spells of time (“impermanent residents”). We illustrate how a new type of mobility data—the anonymous “pings” emitted by people’s personal mobile devices—can unveil the presence and mobility patterns of de facto populations within a community by month, week, and day.

In this paper, we show how these data can gauge the seasonal ebb and flow of population on Nantucket Island, MA, a seasonal resort community whose effective population far outnumbers its “Census population.” Situated 30 miles off the Massachusetts coast, Nantucket’s geographic separation from the US mainland makes it ideal for our study. It is a self-contained Massachusetts county that is accessible only by ferry, aircraft, or private boat. People necessarily arrive and depart through its two ferry terminals or single airport (excluding those few who come and go on private sailboats and yachts). Their comings and goings vary dramatically during the year, because Nantucket is a seasonal resort community. During peak summer months, people in residence vastly outnumber those who are residents.

Nantucket County (excluding undevelopable land set aside in public trust) comprises roughly the same land area (23 sq. mi.) as Manhattan, NY. For each island, an ever-changing mix of sojourners and permanent residents constitutes its de facto population. Manhattan’s typifies the daily urban influx and outflow of commuters. Nantucket’s comprises a broader mix of impermanent residents, reflecting more than just the daily ebb and flow of urban commuters.

Symptomatic Indicators

Traditional demographic methods for estimating the permanent resident population count of a place rely upon time-tested indicators of human presence—the number of occupied housing units, active electric utility meters, and other established indicators of peoples’ ongoing presence. Such indicators are first anchored to the latest complete Federal census enumeration (here, April 1, 2010). Thereafter, subsequent change reflects more or fewer people and translates statistically into an estimate of the population count. The underlying logic (detailed in Morrison 1971) is simple and intuitive: Each symptomatic indicator is like a statistical contrail, roughly scaled to the number of people who were (or are now) present in a place. A 25% increase in occupied housing units, active electric utility meters, or trash collected implies 25% more people.

This “symptomatic indicator” approach has undergone successive refinement over decades. Now, the advent of “Big Data” expands possibilities exponentially. The underlying logic of this approach can accommodate any contrail-like data consistently related to people’s temporary presence somewhere.

Mobile Device Data

Our focus is on a new type of symptomatic data that could greatly expand how demographers in the future might characterize local populations: the “pings” emitted by personal mobile devices running voluntarily downloaded applications (apps)—those location-based services (LBS) that use one’s location to provide services (Ratti et al. 2006).

StreetLight Data, a private company, uses a proprietary algorithm and methodology to turn trillions of these anonymous “pings” into useful data. They specialize in people’s movement, especially useful for traffic management and real-time information for commuters on congested highways. These data are especially well suited to our needs, given Nantucket’s geographic isolation. They furnish relative counts of devices entering and leaving specific geofences that encompass the Island’s ferry docks and airport. A geofence is a virtual geographic boundary, defined by GPS or RFID technology, that enables software to trigger a response when a mobile device enters or leaves a particular area.

Using mobile devices as proxies for people vastly increases the possibilities for estimating a population’s size within a geofenced place and tracing its members’ comings and goings over time.

StreetLight’s reports allow clients to know the origins, workplaces, and travel patterns of people based upon apps that deliver anonymized data. The company assigns home and regular work locations by analyzing the patterns of where the devices have spent their nights and days over the preceding 30 days. Researchers access just index values of individual devices or their owners, not unit counts. A given index value gauges just the relative size of a given “crowd”–for example, showing that the number of mobile devices (MDs) that passed through Nantucket’s ferry terminals between 7 am and 9 am on a Monday was 150% of the corresponding number that passed through on a Tuesday.

With just these relative metrics, one needs some benchmark to gauge the actual size of such crowds: an actual count of arriving passengers. If Monday morning’s actual count was a known 450 passengers, then we can relate index values to implied counts of arriving passengers (no. of passengers = index value times MDs). In general, we find a reliable relationship between StreetLight’s relative index values and the independent trip-level passenger counts we obtained for ferries bringing people to and from Nantucket. Based upon our studies, we are refining ways to (1) estimate the number of people present on Nantucket on any given day, (2) track people’s movement around the island, and (3) distinguish specific population segments of particular interest in this seasonal resort community. Our objectives are to construct credible estimates of the average daily peak number of persons present on Nantucket, from the wintertime lows through the seasonal peaks, and to trace their changing demographic characteristics across months and seasons of the year.

Conceptualizing an “Effective Population”

Nantucket is an exemplary case of a community whose de facto population count differs markedly from its official permanent resident count. Like other resort communities and winter “snowbird” destinations, Nantucket experiences regular annual influxes of visitors and/or seasonal residents in particular months. Just as daytime urban populations strain downtown infrastructure and transportation, such impermanent residents—however brief or lengthy their stay—impose seasonal strains on local infrastructure and public services.

Whether its permanent residents total 17,000 (Nantucket) or 1.7 million (Manhattan), neither Nantucket nor Manhattan is the same “population” throughout the year. Each is a gradual procession of people coming and going throughout the year. Nantucket’s is a well-defined seasonal procession of comings and goings. For every hundred permanent residents, the Island hosts hundreds more persons in residence on a typical summer day.

We refer to this entire population of permanent and impermanent Nantucket residents as its effective population. The Census Bureau’s 2010 decennial census and subsequent postcensal population estimates refer to just the permanent resident component of this effective population.Footnote 1

Being able to distinguish a seasonal resort community’s permanent “census population” and its population of sojourners in residence for various spells of time is fundamentally important. To illustrate this, at noon, a ferry may deliver 400 arriving passengers and accommodate 400 other departing passengers within an hour, leaving Nantucket’s estimated daily population unchanged in size. Yet the 800 different members of its effective population generate a noontime spike in local congestion and downtown fast-food business.

To advance this perspective, we distinguish analytically five segments of Nantucket’s effective population:

  1. 1.

    Permanent residents are persons who regard Nantucket as their usual place of residence and where they may register to vote. This concept closely approximates the Census Bureau’s “usual residence” definition, without necessarily being anchored to a specific date (April 1 or July 1). It is one’s legal residence—where one lives, votes, and files one’s tax return.

  2. 2.

    Commuting workers are persons who reside off-island and travel regularly (e.g., daily or weekly) to jobs on the island—analogous to suburbanites who commute to downtown jobs. Many are in the construction trades, traveling primarily by high-speed ferry or air taxi.

  3. 3.

    Sojourners are persons who stay on Nantucket for a period of time, mostly during the warmer months. They may be seasonal residents occupying a second home they own (i.e., nonresident taxpayers) or renting a private home or other long-term local accommodation (typically from mid-June through mid-October); tourists staying for days or a week; seasonal workers in residence seasonally to fill the many hospitality, landscaping, and other seasonal jobs during the April–September high season, or short-stay visitors on Nantucket, as vacationers or on business.

In the following sections, we describe methodologies we devised to estimate each population segment, the input data we used, and our evaluation of mobile device data for estimating a community’s effective population across the year.

New Methodologies

Nantucket lacks a well-ordered measure of its effective population, which expands and contracts in size and whose membership changes across seasons. Strengthening measurement is an essential first step in promoting evidence-based decisions about scaling infrastructure to meet public needs and strengthening businesses catering to so many different people during the year. Lacking a suitable off-the-shelf methodology, we undertook to devise new ones and validate them in this one community, hoping that other communities—and possibly the Massachusetts State Data Center—can build upon what we have learned.

The population size of Nantucket is measured by census enumerations, supplemented by annual estimates of population based upon symptomatic indicators of people’s presence. Each Massachusetts town must conduct an annual town census for the purpose of maintaining the town’s official street list of its residents. This responsibility is vested in an independently elected town clerk. Our approach builds upon the strengths of the Nantucket Town Clerk’s annual Street List of Residents. We supplement this List with information from (1) various symptomatic measures whose performance characteristics we understand and can validate and (2) standard sources of individual and household demographic characteristics (ESRI Demographics and published block-group data from the American Community Survey).

Nantucket’s Town Street List and Annual Town Census

Our starting point is an anchor population. This is a precisely calibrated measure of the number of permanent Nantucket residents at a particular time, which is sufficiently accurate and reliable to serve as the benchmark for calibrating other symptomatic indicators. Below, we (1) overview the Town Clerk’s Street List and official Annual Town Census, used ahead as the source of our anchor population and (2) clarify their distinctive advantages and known limitations for measuring an anchor population. (See “Appendix” for further technical detail and documentation.)

All Massachusetts town clerks annually prepare a town street list (TSL) furnishing the names and addresses of all persons ages 17 years or older who officially reside in that town (Massachusetts Town Clerk’s Association (1984); also https://malegislature.gov/Laws/GeneralLaws/PartI/TitleVIII/Chapter51/Section6.) This TSL is published and is publicly available. Nantucket’s Town Clerk also maintains a confidential master street list (MSL), which includes the names of all persons under age 17 plus certain individuals and family members (e.g., law enforcement personnel) whose addresses are not publicly released. This confidential MSL is updated continuously based upon (1) residents’ daily in-person transactions with the Town Clerk’s office, (2) statewide-reported vital events by place of residence, and (3) an official annual Town Census, which serves to reconfirm and update the names of all known household members currently shown on the street list.

The Town Clerk’s MSL functions as a continuously updated population register.Footnote 2 Unlike a census of population, which enumerates a population at a given time point, a population register can be queried on any day for the then-current count of residents.

To validate the street list for our purposes, we compared available historical TSL data (for 2001, 2010, and 2011–2017) with corresponding Census Bureau data (see Table 1). We were able to compare two successive decennial census enumerations (April 1, 2000 and 2010) and seven postcensal estimates (July 1, 2011–July 1, 2017). We also show the two-year trailing average since 2011. These comparisons underscore three noteworthy points:

Table 1 Comparison of town street list count of residents and Census Bureau’s postcensal estimates of residents
  1. 1.

    Census 2000 counted 9520 persons as Nantucket residents vs. the closely comparable June 2001 TSL count of 9695 (i.e., 2% more only 14 months after the April 1, 2000 census). The close agreement here suggests that the June 2001 TSL registered permanent residents about as completely as the 2000 decennial census did (under the plausible assumption that the annual rate of population increase was about 1.8%).

  2. 2.

    The corresponding comparison a decade thereafter shows a July 1, 2010 estimate (based on the April 1, 2010 census count) of 10,164 persons vs. the TSL June 2010 count of 11,219. The TSL counted 10% more residents as of the same time (mid-year 2010).

  3. 3.

    Comparing Census Bureau postcensal estimates for 2011 through 2017 with each year’s mid-year TSL count thereafter reveals a widening gap over the next 7 years. The official Census Bureau estimate understates the TSL count by 14.2% in 2012 and by 16% in 2016. The two-year trailing average since 2011 supports the conclusion that this gap has tended to widen between 2011 and 2017.

Our further comparisons of household counts and estimated average household size revealed substantial disparities between Census data and TSL data. The 2010 Census counted 4229 occupied households vs. TSL’s 6151 (i.e., 45% more). Average household size was 2.39 persons (2010 Census) vs. 1.82 persons (2010 TSL). These disparities are likely interdependent and may arise from an implicit difference in how the term “household” is defined by each source.Footnote 3

Beyond these quantitative comparisons are further considerations suggested by the influx of foreign-born persons who have made Nantucket their home in recent years. There is ample evidence that Nantucket has evolved into a miniature immigrant entry port and is a microcosm of demographic transformations elsewhere in the USA. Its counterparts are found in such urban immigrant entry ports as Fresno and Santa Clara, CA; Yakima and Pasco, WA; and Chelsea and Lowell, MA. All display the common hallmarks of an immigrant entry port: circular migration, rising proportions of foreign-born residents, and increasing numbers of English Language Learners (ELLs) in public schools (Morrison 2000). Nantucket Public Schools (NPS) enrollment trends support this interpretation.Footnote 4 ELL enrollment counts have increased from 39 in fall 2005 to 282 by June 2017.

Based upon all the above considerations, we chose to adopt the confidential master street list (MSL) as our anchor population. First, it is an actual count of persons who are officially resident, enhanced by successive annual Town Censuses (as distinct from a postcensal estimate). Second, the MSL appears to be more accurate than the Census Bureau’s postcensal estimates of that resident population, as extrapolated from the 2010 decennial census (see Table 1). We conclude that the Census Bureau’s standard methodology does not fully account for the dynamics of change in Nantucket’s permanent resident population, especially in the out years like 2016 and 2017.

Apart from its apparent superior accuracy, the MSL offers several advantages going forward. First, we could anchor successive estimates of the effective population to specific chosen dates instead of being tied to the Census Bureau’s July 1 annual postcensal estimate date. Second, it will be possible for the Town Clerk to query the MSL on a regular periodic basis throughout the year (e.g., semiannually), broadening possibilities for exploiting the MSL as a population register. For example, an extract on date i could be used to anchor the component elements of the Town’s effective population. A time series of annual extracts at date i could be used to calculate key parameters of change from one year to the next, e.g., demographic components of change (births, deaths, in-migrants, and out-migrants), changes in household size and composition, and comparative characteristics of in-migrants and out-migrants.

Gauging the “Ebb and Flow” of Effective Population Segments

Like the tides surrounding this small island, the population of Nantucket ebbs and flows across the year. This effect is apparent on a weekly basis in summer, with high populations on Saturday and low populations on Wednesday, and seasonally with high tide in summer and low tide in winter. In 2017, we registered the peak population (44,000) in the early evening on July 3 and the low population (13,600) at noon on March 4. In this section, we focus on estimating the components of this ebb and flow of Nantucket’s effective population.

Our approach is premised on several necessary assumptions: (1) we completely account for all members of each component (e.g., all sojourners); (2) individual components are mutually exclusive (e.g., we do not count a commuting worker also as a visitor, or vice versa); and (3) our measure of each separate component is “well-behaved” (statisticians’ shorthand for a measure that does not veer off course at one or another extremeFootnote 5). Most importantly, the three types of sojourners we distinguish must not exceed the total number counted as coming and going via established transportation modes (ferries and aircraft) to and from the island.

Strictly speaking, none of these assumptions will be perfectly valid; we only want to guard against those that are categorically invalid. For example, “visitors” and “seasonal residents” can be difficult to distinguish, since each may masquerade as the other. A seasonal homeowner who “visits” Nantucket intermittently in between monthly rentals of that home may be impossible to distinguish from a succession of one-time tourists who have left the same contrail (home is off-island, stayed on Nantucket for a week, then returned home). Alternatively, a family that rents a home for the summer season may include one member who appears to visit Nantucket repeatedly (arriving from Boston each Friday and departing each Monday morning). This commuting breadwinner might be hard to distinguish from a succession of weekend tourists. Furthermore, we have no satisfactory method (as yet) for estimating the number of economically invisible persons residing within Nantucket’s varied communities of origin.

In the following sections, we summarize methodologies we have developed to date to estimate the size of individual segments of Nantucket’s effective population.

Permanent Residents

We estimate the permanent resident population by combining three components: (1) the MSL register maintained by the Town Clerk; (2) all other persons identified as residents of Nantucket on the basis of voting, banking, and other records; and (3) the estimated number of children living with the adults in groups (1) and (2).

Thus far, we have used an edited “public” version of the MSL current as of September 2017. It included all 10,798 nonconfidential persons ages 17 and older as of that time point. To this, we added 3392 additional adult residents not on the MSL as of September 2017, identified as officially resident on Nantucket based upon data from financial institutions, voting records, and other sources. These 3392 additional adult residents were identified by Civis Analytics, a private firm which compiles data from financial institutions, voting records, and other sources to identify place of residence. They appear to be persons who had not yet self-identified as residents to the Town Clerk.

Neither our “public” MSL nor Civis data identifies children. To estimate this under-17 population, we grouped adults into residential units based on their common street address. For our purposes, each set of adults sharing a street mailing address defines a “residential household.” Next, we assigned an estimated number of children to each such residential household, based on the ratio of children to adults shown in the US Census Bureau’s American Community Survey Public Use Microdata Sample (ACS PUMS) for Massachusetts. ACS PUMS is a 1% representative sample of data well suited to this specific task: estimating the presence of children based on the age and gender of adults residing at the same address. We judged the statewide sample data as likely to be a reliable reflection of Nantucket’s population. In this way, we estimated that 2972 children are members of the “permanent residential household” population—a grand total of 17,162 estimated permanent residents as of early 2018.

Year-Round Commuters

We estimated the number of year-round commuters using the fast ferry passenger records for the months of February and March of 2017. Commuters favor the fast ferry, which takes 60 min each way (compared with 135 min on the slower car ferry). We chose the February–March period because visitor traffic is at a minimum, and year-round commuting workers have resumed work routines after the December holidays. Interviews with experienced commuters informed us that during these months, 90% of passengers on the 6 am boat and 50% of those on the 9 am boat are commuting workers, for a daily average of 265 daily commuter trips to Nantucket.

Some commuters ride the ferry daily; others arrive on Monday and depart on Thursday, working four 10-hour days. To estimate weekly commuters, we calculated “excess” arrivals on Monday (compared with the mid-week average). We observed that 149 extra passengers arrive on Monday compared to mid-week, and we estimate 100 of them are weekly commuting workers who stay on the island through Thursday. Finally, we looked at the “deficit” of arrivals on Friday to estimate the daily commuters who work for 4 × 10 days. We noted that mid-week counts are higher than Friday by 60 at 6 am and by 31 at 9 am. From this, we estimate that 69 are traveling four times per week rather than 5, leaving 196 total commuters present for the five-day work week. Since each arriving worker makes a return trip, we calculate the total number of trips by commuters as twice the number of arrivals.

A total of 2712 ferry trips per week are attributable to 365 commuting workers. An additional small number of commuting workers come and go via a brief air taxi flight from Hyannis or New Bedford. Presently, we lack adequate data for estimating their numbers, but we know they are small relative to ferry arrivals. Three 9-passenger flights per weekday (a plausible upper limit on average weekday air taxi passenger arrivals) would account for barely 10% of the 365 daily commuters arriving by ferry.

By combining the permanent resident population and the commuter population, we can estimate that the year-round weekend population is 17,162 and the year-round weekday population is 17,527. These figures provide the foundation for estimating the ebb and flow of the sojourners.

Sojourners

We have defined sojourners to be the effective population in excess of the year-round population. This group is exceptionally diverse. It includes many foreign seasonal workers, affluent second homeowners who stay for months, and visitors present for a week, a weekend, or a single day (“day trippers”). Every sojourner enters Nantucket through one or another of the geofences to register arrivals by ferry or aircraft. Initially, every arriving sojourner registers as a “visitor” in our mobility metrics—that is, someone whose mobile device spent most of the preceding month somewhere else before entering one or another of our arrival area geofences. Only after one’s device has been present on Nantucket for several weeks do StreetLight mobility algorithms classify that device as “living” on to Nantucket. Likewise, upon departure, a Nantucket resident’s device is indistinguishable from any year-round resident’s device (since its “home” is estimated on the basis of only the past month).

Seasonal workers are especially difficult to count or estimate, for several reasons. First, there was no way to detect them through the StreetLight platform. They come as visitors and leave as apparent residents. Additionally, many seasonal workers who originate from abroad leave little or no detectable economic footprint that Civis Analytics could uncover (e.g., a bank account, credit card, or other transactional data indicating “home” as a Caribbean island or an Eastern European country). Some unknown number may well operate on a cash basis, relying upon a trusted family member for noncash transactions. These considerations make it likely that seasonal workers overlap with and confound our estimates of visitors.

All these complexities limit one’s ability to distinguish subtypes of sojourners—seasonal workers, seasonal residents, and visitors. We continue to experiment with various possible approaches (see Nantucket Data Platform reference for details and updates). It appears that we must look beyond StreetLight data to other vendors offering more detailed “residence history” data on personal mobile devices.

Visitors account for most of the variation in Nantucket’s effective population throughout the year. Whether one considers the average population count during a given week in August or the total number of different faces who were present during that week, it is visitors coming and going who outnumber most everyone else. Conceptually, we define a “visitor” as anyone who is briefly present on the island, for part of a day or for a weekend, or any continuous stay up to 10 days. In order to quantify “visitors,” we must distinguish other sojourners who do not fit our definition of a “visitor.” Our preliminary estimate suggests that visitors average about 15,500 of all sojourners on an average August weekend and 12,200 on August weekdays. Visitors appear to be fewest in February (less than 500 per day).

Discussion

Applied demography is a field of research driven primarily by practical problems, not the pursuit of knowledge. Our research exemplifies the ever-expanding scope of this field and the evolution of methodologies for addressing practical concerns at local community scales. Resort communities and winter “snowbird” destinations in sunbelt locales experience regular annual influxes of visitors and/or seasonal residents in particular months. Just as daytime urban populations strain downtown infrastructure and transportation, such impermanent residents—however, brief or lengthy their stay—impose seasonal strains on local infrastructure and public services.

Until now, demographers have drawn upon various symptomatic measures to estimate people’s presence in a community. For example, the Census Bureau’s State Data Centers apply variants of the “housing unit method.” The location-specific “pings” emitted by anonymous populations of mobile devices introduce transformative possibilities for estimating the ebb and flow of people. Being able to gauge the precise weekly or seasonal ebb and flow of such populations is important to seasonal resort communities, be they winter ski resorts or summer/fall recreation havens. The common denominator is a tourist economy, accompanied by the need to scale up a local hospitality workforce for a seasonal window of economic opportunity followed by a lengthy dormant period.

The US Census Bureau enumerates people by their “usual residence” for the eminent purpose of reapportioning political power once every decade. To do so, it aims to “count every person once, only once, and in the right place.”Footnote 6 Determining usual residence is straightforward for most people. However, “given our nation’s wide diversity in types of living arrangements, the concept of usual residence has a variety of applications. Some examples of these living arrangements include people experiencing homelessness, people with a seasonal or second residence, people in group facilities, people in the process of moving, people in hospitals, children in shared custody arrangements, college students, live-in employees, military personnel, and people who live in workers’ dormitories." (Accessed 12/13/2019 at https://www.census.gov/programs-surveys/decennial-census/2020-census/about/residence-rule.html?eml=gd&utm_medium=email&utm_source=govdelivery.) Yet other purposes predominate. It is people’s presence on Nantucket—however lengthy or temporary—that invigorates the local economy, meets the hospitality industry’s workforce needs, drives public service demands, shapes human service needs, and generates tax revenues.

Conclusions

This paper extends demographers’ traditional approaches to estimating local populations using symptomatic data. The “symptomatic indicator” approach has endured and undergone refinement for decades. With the advent of “Big Data,” new possibilities have expanded exponentially. The anonymous “pings” that people’s personal mobile devices emit register people’s presence and mobility patterns within a community. Used as general-purpose symptomatic indicator, these data are, in effect, a statistical contrail roughly scaled to the number of people who were (or are now) present in a county (or any defined place). Like any symptomatic indicator, such contrail-type data bear a consistent relationship to the presence of people.

We have broadened and augmented this approach, using such mobility data to track a community’s de facto population—both its permanent residents and other sojourners who may be present or in residence there for spells of time. Nantucket’s geographic separation from the US mainland makes the island an ideal community for our study: a self-contained Massachusetts county, accessible only by ferry, aircraft, or private boat.