Ecological Economics 70 (2011) 1672–1679 Contents lists available at ScienceDirect Ecological Economics j o u r n a l h o m e p a g e : w w w. e l s ev i e r. c o m / l o c a t e / e c o l e c o n Analysis Factors determining awareness and knowledge of aquatic invasive species Mark E. Eiswerth a,⁎, Steven T. Yen b, G. Cornelis van Kooten c a b c Department of Economics, University of Northern Colorado, Greeley, CO 80639-0046, USA Department of Agricultural and Resource Economics, The University of Tennessee, Knoxville, TN 37996-4518, USA Department of Economics, University of Victoria, Victoria, Canada BC V8W 2Y2 a r t i c l e i n f o Article history: Received 11 June 2010 Received in revised form 15 April 2011 Accepted 16 April 2011 Keywords: Invasive species Nonnative species Awareness Perception Trivariate ordered probability model a b s t r a c t Public perceptions of invasive species may influence policies and programs initiated by public and private stakeholders. We investigate the determinants of the public's awareness and knowledge of invasive species as few studies have examined this relationship. We focus on aquatic invasive species (AIS) and employ survey data from property owners in a lake district. A major contribution is that we estimate a mixed trivariate binary-ordered probit regression model that accommodates correlations among unobserved characteristics, produces statistically more efficient estimates, and allows a more proper investigation of the probability of knowledge conditional on awareness. Our results provide insights for invasive species education and management programs. We find that individuals are more likely to be aware of AIS if they participate in water-based recreation, visit lakes outside their area, have a boat, belong to a lake association, or are college educated. This has a policy implication: Given high levels of AIS awareness by those most involved in activities around lakes and those with a higher education, it may be beneficial to target informational campaigns at those who do not display these characteristics, so that they can better make informed decisions about whether to support and expend money on invasive species management programs. © 2011 Elsevier B.V. All rights reserved. 1. Introduction Environmental damages and losses caused by approximately 50,000 non-indigenous species in the United States are estimated to exceed more than $136 billion per year (Pimentel et al., 2000). While the true damage figure can never be known with precision and remains a source of debate, there is broad consensus that aggregate damage impacts across species are substantial. In targeted studies, researchers have estimated, for example, the economic losses from invasive species in forests (Krcmar, 2007), leafy spurge (Euphorbia esula) (Leitch et al., 1996), various species of knapweed (Centaurea diffusa Lam., C. maculosa Lam., and Acroptilon repens L.) (Hirsch and Leitch, 1996), and yellow starthistle (Centaurea solstitialis) (Eagle et al., 2007). Others have developed models to identify economically optimal approaches for the prevention and control of invasive species (e.g., Eiswerth and Johnson, 2002; Eiswerth and van Kooten, 2007; Jones and Medd, 2000; Shogren, 2000; Wilkerson et al., 2002). In some states, public agencies and Cooperative Extension staff spend time and money to promote public awareness and knowledge of invasive species. Presumably, policy makers think that better public awareness helps prevent or slow the spread of such species. Awareness and knowledge are believed to affect the characteristics of multiple anthropogenic vectors of invasion including the move- ⁎ Corresponding author. Tel.: + 1 970 351 2094. E-mail address: [email protected] (M.E. Eiswerth). 0921-8009/$ – see front matter © 2011 Elsevier B.V. All rights reserved. doi:10.1016/j.ecolecon.2011.04.012 ments of anglers, hikers and cars, and, of particular importance for aquatic invasive species (AIS), transport of boats (Howard-Williams, 1993). For example, if boat owners are more aware of AIS and knowledgeable regarding their adverse impacts, then they are more likely to use caution in inter-lake transport and expend greater effort to wash their boots, boats, propellers and trailers. In addition, public awareness and knowledge are key factors determining the level of public support for actual or potential programs to control/manage nonnative invasive species. However, there currently is a gap in our understanding of human behavior as almost no research to date has investigated what kinds of factors determine individuals' levels of knowledge and awareness of nonnative invasive species. Findings on awareness and understanding, and how these are related to individual characteristics, can inform deliberations about invasive species education and management programs. To fill the gap in our understanding of human behavior regarding invasive species, we econometrically determine factors that contribute to public awareness and knowledge of nonnative invasive species. Our data come from a survey administered to approximately 1500 property owners in a lake-rich region of Bayfield County in northern Wisconsin.1 The survey questions address a range of lakes-related topics, including AIS. We use econometric analyses to explore whether property owners in the study region recognize the existence of specific invasive species (e.g., whether they can even name an 1 We target property owners in the lakes region because they are most likely to be directly impacted by the adverse effects of aquatic invasive species. M.E. Eiswerth et al. / Ecological Economics 70 (2011) 1672–1679 invasive species). We then examine people's knowledge regarding the behavior and impacts of AIS. For example, do individuals know that AIS can interfere with water-based recreational activities such as swimming, fishing and boating? Do they know that AIS can easily be transported from one lake to the next? To examine these issues, we use a mixed trivariate binary-ordered probability (probit) model that is conducive to this sort of inquiry. In the next section, we provide some background on AIS and a brief summary of previous literature on public awareness and knowledge regarding invasive species. This is followed by a description of the econometric model and our data. Then, in Section 4, we present and discuss our empirical results. The final section concludes. 2. Background 2.1. Aquatic Invasive Weeds There is an extensive literature describing the environmental impacts of aquatic invasive weeds, including Eurasian watermilfoil (Myriophyllum spicatum L.), which is the AIS of greatest prevalence in northern Wisconsin. Eurasian watermilfoil (hereafter milfoil) and other aquatic invasive weeds can lead to a substantial reduction in the numbers and cover of native plant species. Because of its higher efficiency in nutrient uptake and photosynthesis (Grace and Wetzel, 1978), milfoil's large canopy reduces the sunlight available to native plants (Madsen et al., 1991). Aquatic invasive weeds have been associated with declines in native plant species richness (which relates to the numbers of species in a particular area) and abundance (which relates to population size of species) at several locations around the United States. Examples cited in the literature include the apparent displacement of native aquatic plant species in Wisconsin and Michigan (Nichols, 1994), Vermont and Massachusetts (Sheldon, 1994), the Mobile River Delta of Alabama (Bates and Smith, 1994), and New York's Lake George (Madsen et al., 1991). Aquatic invasive weeds also have adverse impacts on fish and other aquatic animals that depend on the health of aquatic ecosystems. Because aquatic invasive weeds alter the composition of native aquatic plant communities, they can adversely impact animals that depend on those communities (Madsen, 1997). Negative impacts can be relatively large for sport fish species such as largemouth bass (Micropterus salmoides) via decreased predation success (Engel, 1987), and salmonids (Salmonidae spp.) via reduced spawning success (Newroth, 1985). Additionally, aquatic invasive weeds can increase the prevalence of other undesirable animal species, such as mosquitoes (Ades spp., Anopheles spp., Culex spp., Culiseta spp.) that may spread diseases to humans (Bates et al., 1985; Gallagher and Haller, 1990). Under favorable conditions, aquatic invasive weeds can spread rapidly following their introduction at a single site. For example, in Washington State milfoil was first found in Lake Meridian near Seattle in 1965; by the mid 1970s it had spread to Lake Washington in Seattle. It then spread into British Columbia and central Washington, and clearly followed Interstate 5 to the south (Washington State Department of Ecology, undated). Milfoil likely reached the eastern United States in the 1940s, but was not discovered until 1965 in Currituck Sound, North Carolina, when about 40 ha of the Sound were found to be heavily infested and 200 to 400 ha lightly infested. Within a year, 3200 ha had become heavily infested at this location, while nine years later more than 32,000 ha were infested (Davis and Brinson, 1983). The rapid spread of milfoil has also been documented at various other locations (Madsen et al., 1991; McKay et al., 1997). Boat and trailer traffic have clearly been significant vectors in the spread of aquatic weeds. For example, Howard-Williams (1993) found that for New Zealand, where nearly 20% of the aquatic and wetland flora constitute invasive species, the “interlake movement of 1673 boats has been implicated almost exclusively in the transfer of aquatic weeds.” Indeed, as a result many jurisdictions now have rules regarding the cleaning of weeds from boats and propellers before inter-lake transit. In lakes-rich northern Wisconsin (our study area), aquatic invasive weed species (notably, milfoil) are present and pose the types of threats to the environment described above. They also have potentially important impacts on human activities in our study region because of the large degree of water-based recreation that occurs there. Milfoil was first discovered in Wisconsin in 1962 and currently is detected in 540 lakes or rivers in the state, including eight lakes in our case study county of Bayfield (Wisconsin Department of Natural Resources, 2010a). For comparison, curly-leaf pondweed (Potamogeton crispus), another important AIS in Wisconsin, is confirmed in 382 lakes/rivers in 62 counties, but has not been detected to date in any lakes in Bayfield County (Wisconsin Department of Natural Resources, 2010a). The most common means of controlling aquatic invasive weeds such as milfoil are mechanical cutting and harvesting. A disadvantage of this approach is that it is not selective, as it also removes desirable aquatic plants. For this and other reasons, biological control is also being considered. For example, twelve lakes in Wisconsin are currently included in a Department of Natural Resources (DNR) project to assess a native weevil's (Eurhychiopsis lecontei) effectiveness in selectively controlling Eurasian watermilfoil (Wisconsin Department of Natural Resources, 2010b).2 2.2. Public Awareness, Knowledge, and Values for Nonnative Invasive Species There is a paucity of research examining determinants of public awareness and knowledge of nonnative invasive species. Bremner and Park (2007) used a sample of 248 individuals in Scotland to assess public support for invasive species control and eradication programs. They found that citizens were more willing to support such programs if they had familiarity with the programs or were a member of a conservation organization. Bremner and Park's focus was on explaining determinants of public support for control and eradication programs, rather than on factors that underlie the public's awareness of invasive species and knowledge regarding their impacts. Garcia-Llorente et al. (2008) employed a survey of ecosystem users, tourists and conservation professionals in southwestern Spain to assess differences in human perceptions and knowledge of invasive alien species, and willingness to pay for eradication. They applied hierarchical cluster and principal component analyses to identify and characterize different stakeholder groups, finding that perceptions and knowledge of invasive species impacts varied across the groups (e.g., conservation professionals and nature tourists were more knowledgeable about invasive alien species than were general tourists and local users). Though Garcia-Llorente et al. examined public knowledge of invasive species, the sample frame and data analysis methods used in their study were quite different from those of the present study. Specifically, Garcia-Llorente et al. used cluster and principal component analyses to categorize the characteristics of quite diverse groups (locals, generalist tourists, nature tourists, and two groups of conservation professionals). In contrast, our study uses a system of three regression equations to identify and measure the relative importance of causal factors of AIS awareness and knowledge of one group (local residents). Garcia-Llorente et al. (2008, p. 2969) 2 One reviewer suggested that the DNR is weighing its options, which is sometimes seen as a technical or, in this case, biological question; but it is also a political one. The reviewer argues that the use of biological control can be perceived as ‘playing God,’ which is viewed by some as unacceptable, except perhaps when a problem is perceived to be acute. Unfortunately, we have no information on what the DNR is taking into account in its policy choice. A discussion concerning the appropriateness of human intervention in the environment can be found in Nelson (2010). 1674 M.E. Eiswerth et al. / Ecological Economics 70 (2011) 1672–1679 noted that “relatively little attention has been focused on public attitudes toward invasive alien species, probably because of the difficulty in measuring impacts, and the conflicts between different stakeholders.” Jetter and Paine (2004) estimated the public's willingness to pay (WTP) for biological control of an invasive pest, the eucalyptus snout beetle (Gonipterus scutellatus Gyllenhall) in urban landscapes in California. Estimates of annual WTP varied from $23 for a chemical pesticide option to $485 for the introduction of a natural enemy of the pest (biological control). The study also found that respondents with a greater level of concern for the environment or those who had donated to environmental organizations were less likely to support a program involving the spraying of pesticides, and more likely to support biological control. While Jetter and Paine (2004) did not examine the determinants of public awareness of invasive species, it may be reasonable to postulate a positive correlation across individuals between their awareness of invasive pest issues and their willingness to pay for invasive pest management. We are not aware of studies that examine determinants of the public's awareness or knowledge of aquatic invasive species specifically (as compared to all nonnative invasive species). Gates et al. (2009) quantified angler movement patterns in southwestern Montana, examined aquatic nuisance species awareness and angler equipment cleaning practices, and measured the amount of soil transported on anglers' boots and waders. They found that about half of anglers ‘occasionally,’ ‘rarely’ or ‘never’ cleaned their boots and waders between uses. This is indicative of low levels of awareness or lack of concern, but factors contributing to variance in awareness or concern were not specifically examined in this study. The present study differs from previous research in three ways: (i) we identify factors that influence the public's awareness and knowledge of invasive species, using regression analysis to indicate the relative impacts of different factors; (ii) we model public awareness and knowledge jointly in a multi-equation regression model; and (iii) we concentrate specifically on the awareness and knowledge levels of residents who own property near the lake ecosystem under consideration, because these individuals are likely impacted the most by policies pertaining to the AIS. 3. Methods Our empirical model consists of a system of three probit equations. The first equation has a binary dependent variable that represents awareness of AIS (denoted a), and is modeled as a binary probit: ð1Þ The second and third equations have ordinal dependent variables, reflecting knowledge about the impacts of AIS on water-based recreation (r) and on the belief about transferability of AIS from lake to lake (t). These are modeled as ordered (rather than binary) probit equations (j = r, t): yj = 0 if xβj + εj ≤ 0 = 1 if 0 b xβj + εj ≤ μj = 2 if xβj + εj N μj : Prðya ¼ 1Þ ¼ Φ1 ðxβa Þ; ð2Þ In the above, x is a vector of explanatory variables; βa, βr and βt are parameter vectors; μr and μt are threshold parameters defining the ordinal categories; and the random error terms (εi, i = a, r, t) are distributed as a trivariate normal distribution with zero means, unitary variances and a correlation matrix containing unique elements (ρar, ρat, ρrt). The three error variances are standardized at ð3Þ and the probabilities of being on the top knowledge categories Prðyj ¼ 2Þ ¼ 1Φ1 μj −xβj ; j = r; t: ð4Þ Importantly, the dependent model also allows investigation of the effects of explanatory variables on the probabilities of knowledge (j = r, t), conditional on awareness: Prðyj ¼ 2jya ¼ 1Þ ¼ Φ2 ðxβa ; −μ j + xβj ; ρaj Þ = Φ1 ðxβa Þ; j = r; t; 3.1. Econometric Specification ya ¼ 1 if xβa + εa N 0 ¼ 0 if xβa + εa ≤ 0: unity because outcomes for the dependent variables are all categorical (binary or ordinal) and, therefore, the parameter vectors βa, βr and βt are identified only up to a scale. For purposes of interpreting results, the parameter vectors βa, βr and βt reflect the marginal contributions of the explanatory variables to the marginal propensities of awareness (βa) and knowledge (βr and βt). For the current application, specification of a dependent error distribution is important for two reasons. First, there may be common unobserved factors such as personal and household characteristics that affect both awareness and knowledge.3 To take into consideration correlations among the unobserved factors requires specification of an error structure that accounts for such correlations. This results in more efficient parameter estimates than procedures that do not account for the correlations. Second, a dependent model allows a proper investigation of the probability of any one outcome (e.g., knowledge about the impacts of AIS on water-based recreation) conditional on another outcome (e.g., awareness about AIS), and vice versa. Parameters βa, βr, βt, μr, μt, ρar, ρat and ρrt in the statistical models (1) and (2) can be estimated by the method of maximum likelihood. The likelihood function is a slight extension of that for the trivariate probit model (Greene, 2008, pp. 817–822), and derivation is available upon request. The significance or importance of the error correlation can be tested with usual statistical inference procedures such as the Wald test, likelihood-ratio test, and Lagrange multiplier test for nested hypotheses (Greene, 2008). Further, to explore the effects of explanatory variables, we calculate the marginal effects of each regressor on the probabilities characterizing the outcomes. Specifically, we examine the marginal probability for awareness ð5Þ where Φ1 and Φ2 are univariate and bivariate standard normal cumulative distribution functions, respectively. In this model the marginal effects of a continuous explanatory variable can be obtained by differentiating the probabilities (3) through (5) with respect to the non-discrete explanatory variables (x). For discrete (binary) explanatory variables, we calculate the discrete effects of each explanatory variable by simulating the effects of a finite change (from 0 to 1), one variable at a time, on the above probabilities, while using the observed values of all other explanatory variables. The marginal and discrete effects of variables are calculated for all sample observations and then averaged over the sample. For statistical inference, standard errors of the discrete effects are calculated by mathematical approximation, known as the delta method (Greene, 2008). The econometric specification provided above has not been previously applied to the examination of awareness and knowledge of invasive species. In the context of food safety concerns, Yen et al. (2006) found that by including awareness in the regression equation, 3 One example of a set of unobserved factors would be a vector of attitudes regarding the environment. Such attitudinal factors could be functions of a complex mix of underlying characteristics such as the socio-cultural characteristics of the community in which the respondent has lived; exposure to different media outlets such as various newspapers and television channels; upbringing (e.g., the characteristics of the respondent's parents); and so on. M.E. Eiswerth et al. / Ecological Economics 70 (2011) 1672–1679 estimation results were more robust. This was because they took explicit account of ‘presupposition effects’ associated with those who were and were not aware of pesticide and antibiotic residues in food (Sterngold et al., 1994). Although the empirical issue is different from that in the current study, Yen et al. (2006) point out the importance of distinguishing between awareness and knowledge. 3.2. Data and Sample Our data are from a mail-out survey of residential property owners in the towns of Iron River and Delta located in Bayfield County, northern Wisconsin. The survey constituted a detailed five-page, 22-question instrument conducted by the University of Wisconsin-Extension (UWEX) office in Bayfield County in cooperation with several other extension collaborators from the university. The survey instrument was developed by a five-person team of UWEX faculty from various disciplines, including economics and the natural sciences. In the first section of the survey, basic information on the property (e.g., distance to nearest lake) and property owner (e.g., length of ownership, days property is occupied each season) was collected. The next section collected detailed information on the lake-based activities in which respondents took part (fishing, boating, swimming, etc.), along with frequencies of the activities. The survey then collected data on lakes outside the respondents' own area that he or she might visit, frequency of visitation and activities undertaken. A series of survey sections then asked questions about attitudes and opinions regarding various lake issues; awareness and knowledge of aquatic invasive species; and questions regarding possible human reactions to potential changes in the quality of the lakes. Finally, respondents were asked to provide socioeconomic and demographic information, including annual expenditures (by category) in the study area, household income, education, age and preferences related to the study area. As a precursor to the mail out and to increase response rates, a short article previewing the survey was included in the local newspaper. The survey was mailed to all 1451 residential property owners in the two towns in June of 2007. Following the initial mail out, the survey was re-mailed several weeks later along with a note to potential respondents explaining the importance of their participation in the project. Of the 1451 surveys mailed out, 666 were completed and returned for a total response rate of 48% after adjusting for 49 undelivered surveys. In designing the survey, ‘yes/no’ questions, such as “Do you know what aquatic invasive species are?” or “Have you ever heard of Eurasian watermilfoil?” were deemed to be undesirable as they could introduce response bias and/or ‘yea-saying.’ Specifically, some respondents would have a tendency to answer ‘Yes’ even when the truth is ‘No,’ so as not to appear ignorant or unaware. Therefore, since invasive species are a real threat in the region, the survey asked the following: Can you think of the names of any aquatic invasive species that you believe could be a problem for the lakes in the towns of Iron River and Delta? ❑ Yes ❑ No If yes, please list some: ________________________________________ In analyzing responses to the above, a respondent was classified as ‘aware’ of AIS only if he or she could list (name) at least one bona fide aquatic invasive species (ya = 1); otherwise, the respondent was classified as unaware (ya = 0). The primary advantages of this measure are that it is not subject to response bias or yea-saying, and, relative to other potential measures of awareness, it is straightforward enough to determine in a survey format without undue burden to the respondent.4 4 Clearly, awareness can be defined in other ways (e.g., ask to what extent the person is aware on a 5-point Likert scale), but we feel that, given the current context, this is a simple and unambiguous definition of awareness. If a person cannot identify an AIS, it is highly unlikely they are aware of the problem. 1675 We are also interested in a respondent's knowledge of the impacts and behavior of AIS, as quite distinct from simply possessing an awareness that one or more such species exists. That is, we wished to make a distinction between awareness and knowledge.5 Therefore, questions were included in the survey to assess the level of knowledge among respondents regarding the fact that AIS can adversely affect water-based recreation and the fact that AIS are rather easily transported across lakes. Specifically, respondents were confronted with true statements and asked to express their agreement or disagreement with them using a 5-point Likert scale that ran from ‘strongly disagree’ with the true statement to ‘strongly agree’ (i.e., strongly disagree, somewhat disagree, neutral, somewhat agree, and strongly agree) plus a ‘don't know’ option. In the subsequent analysis, however, we collapsed the 5-point scale to a 3-point scale, because there were too few respondents who disagreed strongly with the (true) knowledge statements. The true statements “for lakes in general” were as follows: a) “Aquatic invasive species can interfere with water-based recreation like swimming, fishing, and boating” b) “Aquatic invasive species are easily transferred from one lake to another” Responses to these questions were used to develop two variables: (1) knowledge that AIS impacts recreation (yr) and (2) knowledge that AIS are easily transferred across lakes (yt). Both of these knowledge variables are ordinal.6 As described above, the survey also included questions that provided information on the independent variables in the model (Eqs. 1 and 2).7 The definitions and sample means of all the variables used in the analysis are provided in Table 1. Income is a continuous variable denoting annual household income for the respondent. Since acquisition of information generally requires expenditures of time or money, one would predict that higher levels of income would increase the probability of awareness and better knowledge. The binary variables ‘Keeps boat,’ ‘Use lakes,’ ‘Other lakes,’ and ‘Membership’ all indicate some aspect of a respondent's avidity for water-based recreation and lake amenities. We hypothesize that an affirmative response of each of these variables would increase respondents' awareness and knowledge of AIS, other factors equal. The binary variable ‘Year round’ indicates that a respondent is a 12month rather than seasonal resident at their property. We predict this variable to have positive impacts on awareness and knowledge, since year-round residents are more likely to be more familiar with local and lakes issues. We include a suite of binary variables that indicate a respondent's level of education. Our hypothesis is that, because education allows an individual to process information more efficiently, higher levels of education would be associated with better awareness and knowledge about AIS, ceteris paribus. Finally, we include three binary variables to capture respondent age. While we have no particular hypotheses regarding the impact of age on awareness/knowledge, we include these variables to capture the 5 A respondent could well be aware that an aquatic invasive species exists, but still disagree with, or respond with a ‘don't know’ to, these true statements that assess knowledge regarding AIS impacts and transport. The respondent may simply not consider the invasive species to be a problem, not know that it is a problem, or not know that it is easily transferred across lakes. 6 It is possible that a respondent with concern for the environment (in general) or negative perceptions of invasive species (specifically) may be more likely to answer in agreement with the knowledge questions. Indeed, one would predict that people concerned about the environment or invasive species would be more likely to have better knowledge regarding their behavior and impacts. However, we are not able to make fine distinctions regarding the precise causal factors behind respondents' answers to these questions. 7 While Eqs. (1) and (2) were the basis for the empirical work, the choice of independent variables (and survey design) was based on rather straightforward a priori hypotheses (explained in the text) regarding factors predicted to influence awareness and knowledge, rather than on a formal microtheory-based model. 1676 M.E. Eiswerth et al. / Ecological Economics 70 (2011) 1672–1679 Table 1 Variable definitions and sample means. Variable Definition Table 2 Frequency histograms of the knowledge variables. Mean Dependent variables Awareness Could think of the names of any AIS 0.48 (binary: no = 0, yes = 1) 1.65 Knowledge: Ordinal variable indicating respondent's AIS affect recreation level of agreement with statement: “For lakes in general: aquatic invasive species can interfere with water-based recreation like swimming, fishing, and boating.” (0 = neutral/somewhat disagree/strongly disagree, 1 = somewhat agree, 2 = strongly agree) 1.70 Knowledge: Ordinal variable indicating respondent's AIS easily transferrable level of agreement with statement: “For lakes in general: aquatic invasive species are easily transferred from one lake to another.” (0 = neutral/somewhat disagree/ strongly disagree, 1 = somewhat agree, 2 = strongly agree) Continuous explanatory variable Income Annual income: recoded as mid-point of 99,034.00 income categories Binary explanatory variables (yes = 1, no = 0) Keeps boat Keeps a boat on a lake in town of Iron 0.64 River or Delta Other lakes Has gone to any lakes outside Iron River/ 0.49 Delta area over the last three years ≤High school Has only high school education or less 0.13 (reference) 0.28 Some college Had some college or technical school, including technical training in the armed forces. Completed college Completed college 0.24 Post-graduate Completed some graduate classes or higher 0.35 (has a post-graduate degree(s)) Age ≤ 44 Age is 44 or younger 0.13 Age 45–64 Age is 45–64 (reference) 0.57 Age ≥ 65 Age is 65 or older 0.30 0.88 Use lakes Respondent or family members use lakes in the towns of Iron River or Delta for fishing, swimming/wading, or motor boating Membership Member of a lake association 0.38 Year round Year-round resident at this property 0.35 Sample size 438 Knowledge variable Frequencies Neutral/somewhat disagree/ strongly disagree Somewhat agree Strongly agree Total Knowledge 1: AIS affect recreation Knowledge 2: AIS easily transferrable 38 (8.68%) 76 (17.35%) 324 (73.97%) 438 (100%) 34 (7.76%) 65 (14.84%) 339 (77.40%) 438 (100%) 4.1. Maximum-likelihood Estimates Maximum-likelihood estimation is carried out by programming the sample likelihood function in Gauss (Aptech, 1997). Our first empirical task was to examine potential multicollinearity by calculating the variance inflation factors (VIFs) for all explanatory variables. A value in excess of 20 is indicative of a multicollinearity problem (Chatterjee and Hadi, 2006). All VIFs are very small, ranging from 1.14 for Year round to 2.77 for Post-graduate. Since these are much lower than the criterion for multicollinearity suggested in the literature, we conclude that multicollinearity is not an issue for the current analysis. Table 3 Maximum-likelihood estimates of trivariate binary-ordered probit model of awareness and knowledge. Variable Income/10000 Keeps boat Other lakes Some college Completed college Post-graduate Age ≤ 44 potential nonlinear effects of age on the awareness and knowledge probabilities. Further, age is typically used as a socio-demographic variable and may reflect other individual characteristics that we do not ascertain via our survey. The final sample available for analysis comprised 438 observations, which is lower than the 666 surveys that were returned. This is because not all surveys exhibited complete responses for all of the several dependent and independent variables used in the analysis. Age ≥ 65 Use lakes Membership Year round Constant Threshold (μ) 4. Results Simple descriptive statistics were performed to characterize the respondents with regard to their values for the dependent variables. The respondents were fairly evenly split between those who were aware of an aquatic invasive species (about 48% of respondents) and those who were not. In contrast, there was modest variation across respondents for the two ordinal measures of knowledge. Specifically, Table 2 shows that relatively few of the respondents disagreed with the knowledge statements that were posed to them. We discuss the implications of this feature of the data below as we turn to the maximum-likelihood regression results and marginal effects of the independent variables. AIS awareness Knowledge: AIS Knowledge: AIS easily affect recreation transferrable 0.005 (0.009) 0.335⁎⁎ (0.160) 0.459⁎⁎⁎ 0.007 (0.010) 0.075 (0.163) 0.410⁎⁎⁎ (0.144) (0.147) 0.228 − 0.252 (0.249) (0.230) 0.746⁎⁎⁎ − 0.085 (0.256) (0.252) 0.651⁎⁎⁎ 0.028 (0.248) (0.231) − 0.096 − 0.321 (0.208) (0.208) − 0.290⁎ − 0.177 (0.168) (0.175) 0.555⁎⁎ 0.192 (0.252) (0.212) 0.700⁎⁎⁎ 0.433⁎⁎⁎ (0.160) (0.163) 0.154 − 0.152 (0.155) (0.148) − 1.742⁎⁎⁎ 1.048⁎⁎⁎ (0.313) (0.300) – 0.768⁎⁎⁎ (0.084) Error correlations: Knowledge: AIS affect 0.430⁎⁎⁎ recreation (0.082) Knowledge: AIS easily 0.409⁎⁎⁎ transferred (0.087) Log likelihood − 746.137 Test for error independence: LR statistic (df=3) 179.601 Wald statistic (df=3) 481.187 LM statistic (df=3) 163.970 – − 0.003 (0.010) 0.272 (0.168) 0.070 (0.148) 0.148 (0.230) 0.340 (0.243) 0.383⁎ (0.226) − 0.095 (0.221) − 0.121 (0.168) − 0.127 (0.222) 0.323⁎⁎ (0.163) − 0.044 (0.161) 1.106⁎⁎⁎ (0.301) 0.693⁎⁎⁎ (0.088) – 0.804⁎⁎ (0.037) – – – – – – – – – Note: Asymptotic standard errors in parentheses. ⁎⁎⁎ Indicates level of significance at 1%. ⁎⁎ Indicates level of significance at 5%. ⁎ Indicates level of significance at 10%. M.E. Eiswerth et al. / Ecological Economics 70 (2011) 1672–1679 The parameter estimates are provided in Table 3. Whereas the parameter estimates in this table suggest qualitative effects (in terms of signs and significance) of the explanatory variables on awareness (or knowledge), these effects can be quantified by calculating the marginal effects of these variables on the category probabilities, discussion of which we defer to Section 4.2. Six of the eleven explanatory variables (Keeps boat, Other lakes, Completed college, Post-graduate, Use lakes, and Membership) are statistically significant at the 5% level of significance or better in the awareness equation, with an additional variable (Age ≥ 65) significant at the 10% level. Fewer regressors are statistically significant in the two knowledge equations, with two explanatory variables (Other lakes and Membership) significant at the 1% level in the ‘knowledge of recreation impacts’ equation and two variables (Post-graduate and Membership) significant at the 10% and 5% levels, respectively, in the ‘knowledge of AIS transferability’ equation. The reason for the reduced numbers of significant variables in these equations may be the result of the relatively small proportions of ‘neutral’ and ‘disagree’ responses to the dependent knowledge variables (see Table 2, which shows frequency distributions for the regression sample). Modest variation across all values of an independent ordinal variable typically may lead to sparse statistical significance. All three error correlations are positive and significant (two at the 1% level of significance and one at the 5% level). Joint significance of these error correlations is confirmed by the Wald test (W = 481.19), the likelihood-ratio test (LR = 179.60), and the Lagrange multiplier test (LM = 163.97), all of which have three degrees of freedom and pvalue b 0.0001 (Greene, 2008). This joint significance justifies joint estimation of the three equations to improve statistical efficiency.8 The estimates for the threshold parameter (μ) are significant at the 1% level of significance for both knowledge equations, suggesting that these parameters are successful in delineating categories in the (ordinal) knowledge variables. A negative threshold parameter would have suggested mis-specification of the model, and insignificant threshold parameter estimates would have suggested consolidation of the ordinal variable (into binary). 4.2. Marginal Effects of Explanatory Variables Marginal effects of the explanatory variables on the marginal probabilities of awareness and (unconditional) knowledge are provided in Table 4.9 These marginal effects reflect the additional contribution of each explanatory variable on (1) the probability of awareness and (2) the unconditional (overall) probabilities of knowledge at the ‘strongly agree’ level. From the second column of the table, seven explanatory variables (Keeps boat, Other lakes, Completed college, Post-graduate, Age ≥ 65, Use lakes, and Membership) have statistically significant effects on the marginal probability of AIS awareness. Four of these seven statistically significant variables (Keeps boat, Other lakes, Use lakes, Membership) reflect an individual's active use of lakes for recreation and/or involvement in lake associations. Level of education and age also influence awareness. The largest effects on the probability of awareness are produced by Completed college and Membership, in that order. For example, compared to individuals with a high school 8 The independent model results, not presented due to space consideration, indicate relatively larger standard errors (and smaller t-values) for 38 of the 44 parameter estimates. We also have estimated the models using completely binary specifications for all of the dependent and independent variables and fewer regressors. While those models yield somewhat different results, the final models presented are deemed superior because they allow for more variation in several of the variables as suggested by reviewers. 9 We have also computed the marginal effects of the explanatory variables on the probabilities of knowledge conditional on awareness. Because most of these conditional marginal effects are not statistically significant, we do not include them in Table 4. 1677 Table 4 Marginal effects on marginal probabilities of awareness and knowledge. Variable Awareness = 1 Knowledge: AIS affect recreation = 2 Knowledge: AIS easily transferred = 2 Income/10000 0.002 (0.003) 0.108⁎⁎ (0.050) 0.147⁎⁎⁎ (0.044) 0.073 (0.080) 0.239⁎⁎⁎ (0.081) 0.209⁎⁎⁎ (0.078) − 0.031 (0.067) − 0.093⁎ 0.002 (0.003) 0.022 (0.049) 0.122⁎⁎⁎ (0.043) − 0.075 (0.068) − 0.025 (0.075) 0.008 (0.069) − 0.096 (0.062) − 0.053 (0.052) 0.057 (0.063) 0.129⁎⁎⁎ (0.048) − 0.045 (0.044) − 0.001 (0.003) 0.078 (0.048) 0.020 (0.042) 0.042 (0.066) 0.098 (0.069) 0.110⁎ (0.064) − 0.027 (0.063) − 0.035 (0.048) − 0.036 (0.064) 0.092⁎⁎ (0.047) − 0.013 (0.046) Keeps boat Other lakes Some college Completed college Post-graduate Age ≤ 44 Age ≥ 65 Use lakes Membership Year round (0.053) 0.178⁎ (0.080) 0.225⁎⁎⁎ (0.047) 0.049 (0.049) Note: Asymptotic standard errors in parentheses. Income is a continuous variable. All other variables are binary. ⁎⁎⁎ Indicates level of significance at 1%. ⁎⁎ Indicates level of significance at 5%. ⁎ Indicates level of significance at 10%. education or less, those who have completed college are 23.9% more likely to be aware of AIS than other individuals. Similarly, compared to non-members, members of a lake association are on average 22.5% more likely to be aware of AIS. For knowledge regarding AIS impacts on recreation (column 3, Table 4), the marginal effects on unconditional knowledge (at the ‘strongly agree’ level) are statistically significant for Other lakes and Membership.10 As examples of the correct interpretation of the magnitudes of effects, note that members of a lake association are 12.9% more likely than non-members to know that AIS affects recreation and respondents who use other lakes are 12.2% more likely to be knowledgeable than those who do not. We do not show the marginal effects on the probability of knowledge conditional upon awareness for all explanatory variables in Table 4, but it is worth noting that we do find a statistically significant effect of Other lakes on conditional knowledge of recreation impacts. Interestingly, however, the magnitude of the marginal effect on conditional knowledge is somewhat smaller than the effect on unconditional knowledge: respondents who use other lakes are only 6% more likely to be knowledgeable conditional on their awareness of AIS. Such a result indicates that, by conditioning knowledge to awareness – a filtering process against presupposition bias in consumer recognition (Sterngold et al., 1994) – the marginal effects on this conditional probability provide more conservative (smaller) estimates of the effects of this regressor on knowledge. For knowledge regarding the ease of inter-lake transfer of AIS (column 4, Table 4), the marginal effects on unconditional knowledge (at the ‘strongly agree’ level) are statistically significant for Postgraduate and Membership. Members of a lake association are 9.2% more likely than non-members to know that aquatic invasive species are easily transferred from one lake to another, and respondents with 10 We focus on the probability of knowledge at the ‘strongly agree’ level because the majority of the respondents (over 70% of the sample) are in this category for both knowledge variables. One reviewer has noted that, given that there were relatively few respondents who disagreed with the (true) knowledge statements, a priority for future research in this area might be to develop measures of knowledge that yield more detectable variations across individuals. 1678 M.E. Eiswerth et al. / Ecological Economics 70 (2011) 1672–1679 post-graduate education are 11% more likely to be knowledgeable of this fact. 5. Discussion and Conclusions In this study, we found that individuals were more likely to be aware of aquatic invasive species if they were active participants in water-based recreation, visited lakes outside their immediate area, kept a boat on one of the area's lakes, were members of a lake association, and/or were college-educated. The first three results are indicative of what might be called recreational avidity; that is, those most involved in lakes-based recreation are also the most likely to be aware of the invasive species that threaten those ecosystems. Membership in a lake association is important because it stands up even after controlling for recreational avidity: lake association members are more aware. We expect this to be the case because, typically, such individuals are exposed to information (newsletters, speakers, meetings, etc.) aimed at promoting AIS awareness, while those individuals who do not belong to such organizations are missed even though they might be a vector in spreading the invasive species. Similarly, the finding that less-educated individuals tend to be less aware suggests the importance of constructing public awareness programs that are broad-based in nature. Once the level of awareness is relatively high among sub-populations that are active in a relevant environmental organization or are college educated, the comparative benefit/cost metric of awareness campaigns targeted elsewhere may increase. Our results also point to conclusions regarding the public's knowledge of the adverse recreational impacts and ease of interlake transfer of aquatic invasive species. Individuals are more likely to possess good knowledge on AIS recreational impacts if they are members of a lake association or visit other lakes outside the area. Similarly, highly educated individuals and members of a lake association tend to be more knowledgeable about the ease of transfer of AIS from one lake to another. Again, it is not surprising that association members possess better knowledge regarding AIS impacts and ease of transport, since membership certainly increases the probability of exposure of individuals to various forms of information regarding the behavior and consequences of AIS. Our results have implications for structuring invasive species awareness, education and management efforts, and for analyzing the factors determining knowledge and awareness. First, since the error terms in our three equations are found to be correlated, it is important to model public awareness and knowledge jointly. Failure to do so may compromise statistical efficiency and lead to imprecise empirical estimates of the impacts of individual characteristics on knowledge and awareness. Second, in constructing public awareness and education programs, it may be necessary to consider the relative importance of maximizing the market penetration of the desired message (i.e., casting a wide marketing net to increase public support for AIS management) versus focusing on specific groups involved in lake recreation or controlling the rate of anthropogenic spread of the invasive species through monitoring and management. This is because awareness and knowledge tend to be lower among sub-populations that are less active in outdoor recreation, suggesting a need to educate such groups. At the same time, those same individuals also are less likely to play a role spreading invasive species (e.g., via boat use and transport). Therefore, it is important to consider carefully the objective(s) of an education program when determining the primary intended target(s) of the message, as well as the means and media to be used. If slowing the rate of spread of the AIS by humans (e.g., through inter-lake boat transport) is the main objective, it may be preferable to continue targeting groups that already have relatively high rates of awareness. If the primary objective of an awareness/education program is to foster broad-based public support for government spending on invasive species management options such as the application of herbicides or biological control (rather than encourage public behavior that will slow the rate of spread), it may be more important to target sub-populations with currently low levels of knowledge and awareness. 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