Introducing Nature into Cities or Preserving Existing Peri-Urban Ecosystems? Analysis of Preferences in a Rapidly Urbanizing Catchment

: Nature-based solutions (NBS) are increasingly being promoted as a means to address societal and environmental challenges, especially ﬂood risk reduction. In the context of rapidly urbanizing catchments, NBS can take part of the development of sustainable cities, either by con-serving peri-urban ecosystems from urban sprawl or by developing green infrastructure in the cities. Both can provide a wide range of co-beneﬁts (e.g., climate regulation, air quality regulation), but also generate some negative effects (e.g., mobility issues, unsafety, allergens). We develop and implement a Discrete Choice Experiment survey to analyse people’s perception of co-beneﬁts and negative effects, and associated preferences for the two types of NBS at a catchment scale. The results obtained from 400 households living in a French Mediterranean catchment highlight that people associate numerous co-beneﬁts to NBS, but also negative effects. Our estimations reveal that resident households are ready to contribute large amounts through a tax increase for the development of NBS (from 140 to 180 EUR/year, on average). There is however a strong heterogeneity of preferences at the catchment scale inﬂuenced by income, location of the respondent along an urban–rural gradient, and perception of the importance of ecosystem services. These differences may reﬂect urban environmental inequalities at the catchment scale, which are important to take into account in order to avoid distributive inequalities. illustrate two different approaches of sustainable cities: (1) the conservation of peri-urban ecosystems from urban sprawl and (2) the development of green infrastructure in the city. Our analysis highlights that people associate numerous co-beneﬁts to NBS, but also negative effects. On average, respondents associate a positive additional value on NBS (compared to grey solutions) for the same level of ﬂood risk management. Our results also show a strong heterogeneity of preferences at the catchment scale. Several factors inﬂuence this heterogeneity, including income, location of the respondent along an urban–rural gradient, and perception of the importance of ecosystem services. From an operational perspective, these results can inform sustainable urban development and ﬂood risk management strategies at the and the and enhance the implementation the whose ﬁrst challenge Indeed, large value by in NBS net co-beneﬁts suggests programs toward the development of NBS for water-related would large The 2020 results of municipal elections in Montpellier and more generally in large cities of France, that favoured candidates with ambitious city greening programs, are an illustration of this political buy-in. These results also highlight the heterogeneity of preferences and the factors that explain them, such as the location of the respondent along an urban–rural gradient. It is fundamental to identify those groups of individuals that can either beneﬁt from or be harmed by an NBS [9], to anticipate possible oppositions and conﬂicts. Understanding the reasons for these oppositions (e.g., negative effects borne by a category of the population, lack of information on potential beneﬁts) may help to design mechanisms to tackle the issues raised.


Introduction
Nature Based Solutions (NBS) are increasingly promoted as innovative solutions to address societal and environmental challenges, especially flood risk reduction [1][2][3]. In the European Union, the EU Floods Directive opened the way, as early as 2008, for more integrated flood management and a plurality of measures including the resort to Nature-Based-Solutions (NBS). These NBS may consist of introducing green infrastructure in cities, such as bioswales, green roofs, and vegetated open retention basins. Protecting and restoring peri-urban ecosystems, threatened by urban sprawl [4], and also contribute to reducing floods by enhancing the infiltration of rainwater. We consider here the broad definition of NBS given by the IUCN [5] that explicitly includes the "protection [ . . . ] of natural ecosystems" as a NBS. In a context of rapidly urbanizing catchments, these NBS can be part of two different approaches of sustainable urban development [6]. First, the conservation of peri-urban ecosystems by limiting urban sprawl is more in line with a "compact city" approach [7] that promotes the concentration of population in dense neighbourhoods. Second, the development of green infrastructure in the city is rather part of a "green city" model [8], which tends to make cities more liveable by introducing nature areas in the city. Our article considers these two types of NBS, placing them in the broader perspective of the sustainable urban development of a rapidly urbanising catchment.
In Section 2, the paper presents a state of the art on the preference heterogeneity for NBS. Section 3 describes the implementation of the choice experiment in the case study and our modelling approach. Section 4 describes the results, followed by a discussion (Section 5) and concluding remarks (Section 6).

Heterogeneity of Preferences for NBS: State of the Art
Choice experiment studies on NBS have provided insights into the heterogeneity of resident's preferences for green infrastructure in cities, and the influence of individual sociodemographic, attitudinal and spatial location characteristics. Several studies show that age, income, education and having a child in the household influence preferences. For instance, Giergiczny and Kronenberg [25] find that residents with higher income, higher education, who are younger or do not own a car have a higher willingness to pay (WTP) for the development of street trees. Other studies have focused more on attitudinal characteristics. Collins et al. [26] reveals for instance that WTP for green façade is influenced by knowledge on biodiversity and aesthetic opinion. An expanding literature also addresses spatial issues in stated preference welfare measures [27]. Several authors investigated the spatial heterogeneity of preferences for forest management [28][29][30][31], conversion of forest plantations into higher value nature [32], water quality improvement [33][34][35][36][37], and benefits associated to agri-environmental schemes [38,39]. In this paper, we argue that socio-demographic, attitudinal and spatial characteristics can influence the types of (perceived or actual) ES and negative effects associated to NBS, and ultimately individuals' preferences for NBS, in line with the conceptual framework proposed by Venkataramanan et al. [40] to analyse green infrastructure for flood management.
On the one hand, preferences are expected to be heterogeneous due to contrasting perceptions of co-benefits. For instance, the demand for some co-benefits may vary along a urban-rural gradient [41,42], with a higher demand from the urban population for temperature regulation and air quality, or a higher demand for nature areas for those living in apartments. Tu et al. [31] determine that people with private gardens, more likely to live outside city centres, are willing to pay a smaller price premium for housing near urban parks.
On the other hand, although little investigated in the literature, differences in the perception of negative NBS effects are highlighted in particular by Escobedo et al. [43] for urban forests. He shows that the negative effects of urban forests (source of allergens, leaf litter, and obstructed views) differ between individuals with different lifestyles, cultures, ages, education. For instance, young and fit people are not as prone to environmental diseases and sicknesses as are the elderly or newborns. In addition, we expect that indirect negative effects of NBS, such as a reduction in car space in the city, will also be perceived differently according to the position along the urban-rural gradient because of the greater dependence on cars of the population living in low-density areas. Densifying the city, to conserve peri-urban ecosystems, one of the NBS we evaluate in this paper, may also be perceived very differently among the population. Several studies show that residents acceptability for more compact forms of housing remains relatively limited, with a strong preference for single family detached house on a large lot [44][45][46]. Talen (2001) suggests that two-parent families with children present the greatest preference for low-density, suburban living. The principal justification advanced for this preference include: an association with a certain social status, the perception of safety, privacy, the access to space and greenery and the ease of automobile use [47]. On the other hand, compact neighbourhoods may be favoured by childless young-adults, lower-income groups, and families with children that have left home [46,48,49].
Based on these findings, we formulate three hypotheses in our analysis of the factors influencing preferences heterogeneity (RQ3): preferences for NBS vary along an urban-rural gradient (H1), according to socio-demographic (H2) and attitudinal (H3) characteristics.

The Lez Catchment
The Lez catchment (64,000 ha, total population of 466,000 inhabitants), located in the south of France along the Mediterranean Sea and covers 43 municipalities, including the city of Montpellier. The catchment is as a typical Mediterranean catchment with the prevalence of generally dry climate with violent storms generating flash floods in autumn [50,51]. Although investments have been carried out in order to prevent overflow of the Lez and its tributaries, urban runoff flood risk remain a challenge. In 2014 only, three successive major flood events led to 65 million euros of damages for insured private housing and businesses, 78% of which was due to urban runoff (CCR). The estimated present value of damages for insured private housing and businesses is estimated to be 124 million euros for the Lez catchment in current climate [52]. The strong attractiveness of the city of Montpellier (282,000 inhabitants, 4th largest commune in France in terms of population gain over the 2012-2017 period) has led to a rapid urbanization of the catchment resulting in the loss of 3000 ha of natural and agricultural areas over the period 1990-2012. The catchment is composed of very contrasting types of urban areas, from the dense urban centre of Montpellier (14,000 inh/km 2 ) to low-density residential areas of municipalities furthest from the centre (less than 50 inh/km 2 ), according to an urban-rural gradient. Large investments have been carried out to manage overflow risk but runoff risk, accentuated by the recent urbanization, remains a major challenge. Urban areas are also facing several other challenges typical of large Mediterranean cities. Air pollution mainly due to the commuting of an increasing number of urban workers living in individual housing outside the main city centre remains a large issue. Heat island effect is also a growing challenge with the increase of temperature peaks due to climate change, with a historical record of more than 45 • C in 2019. The preservation of local agricultural production is also a very strong issue in the basin [53], as is the preservation of landscape and biodiversity. Outdoor recreational activities are a major asset for the attractiveness of this area and the well-being of its inhabitants.

NBS Selection
In order to address these challenges and identify potential NBS aiming at reducing flood risk, we organised a participatory process with two stakeholders workshops gathering state, regional, water basin and city authorities, residents association and private and public developers. The first workshop (six stakeholders in June 2018) aimed to (i) build plausible future scenarios describing the evolution of the catchment by 2040 (population growth, urban development, resulting flood risk level), (ii) identify the main types of NBS that could be used to manage flood risk in the future, and (iii) discuss their main benefits, negative effects, potential barriers and implementation areas. The second workshop (11 stakeholders in February 2019) made it possible to finalize the description of the types of NBS studied and their implementation by 2040 at the catchment scale, as well as to present the choice experiment method. Finally, we selected two types of NBS aiming at reducing flood risk, by favouring the retention and infiltration of rainwater: (1) the conservation of peri-urban ecosystems from urban sprawl and (2) the development of green infrastructure in the city. We anticipate that, in addition to reducing flood risk, these solutions will generate a Sustainability 2021, 13, 587 5 of 34 variety of co-benefits, by addressing several major challenges of the Lez catchment, but also potentially negative effects.

The Survey
We carry out a choice experiment (CE) for assessing the preferences of the population of the Lez catchment for different flood management strategies combining different levels of these two types of NBS. For this, we constructed a four-part questionnaire that first addresses respondents' perception of co-benefits and negative effects associated to NBS before eliciting their preferences for NBS strategies.
Part I presents the Lez catchment and the flood risk at present; it is followed by a series of questions aiming at assessing the importance respondents give to eight ecosystem services on the Lez catchment: flood risk reduction, air quality improvement, local temperature regulation, climate change mitigation, landscape conservation, recreation activities, local agriculture and food production and biodiversity conservation.
Part II presents the projected population growth by 2040, natural and agricultural areas that will be made impervious if the process of urban sprawl observed in the past continues, and future flood risk (Appendix A). The diversity of benefits associated with NBS is described in a short video, in terms of ecosystem services (ES). Each NBS is then described individually with text and visual aids in the form of photographs and diagrams (Appendix A). Respondents were invited to express both significant benefits (among the eight ES) and negative effects (from a list of options) they associate with each NBS, and to choose whether or not they are in favour of their implementation. The negative effects listed were selected based on the pre-test survey to cover at least the diversity of ESD highlighted by Lyytimaäki [13] and Von Döhren and Haase [14]: aesthetic, safety, health, economic, mobility, and psychology issues. This part specifically addresses RQ1.
Part III is the Choice experiment component of the survey described in Sections 3.1.4 and 3.1.5 (Appendix A). Respondents chose between hypothetical flood management strategies. The responses obtained in this part provide data to study the heterogeneity of preferences (RQ2).
Part IV deals with socio-demographic characteristics of the respondents (e.g., gender, age, employment, education, size of the household, income). This part, in addition to part I, allows us to collect the data needed to investigate the factors influencing heterogeneity (RQ3).
We first pre-tested the questionnaire during 29 face-to-face interviews with inhabitants of the Lez catchment recruited randomly in two outside market places and a shopping mall. This pre-test helped to improve the questionnaire to ensure that it is easily understood and not too long, while providing a sufficient level of information. We then administered the questionnaire on-line by distributing it by email to residents of the Lez catchment recruited via a polling company specialized in the implementation of market study. The company manages a sample of registered respondents that can be invited to participate on-line in surveys through an ad-hoc portal. The participation to a survey is incentivized with "points" that can be used to have discounts on certain products. The survey was completed online during two weeks in September 2019.

The Choice Experiment Attributes
We carried out a choice experiment (CE) for assessing the preferences of the population of the Lez catchment for different flood management strategies combining different levels of these two types of NBS. The CE methodology was based on discrete choice models, the objective of which is to analyse the factors that influence the choices of individuals (in our case the choice of flood risk management strategies based on NBS). The factors can be both the characteristics of the proposed strategies ("attributes") and the respondents' individual characteristics.
Flood management strategies differ according to three attributes validated during the two workshops with local stakeholders. The first attribute corresponds to the level of conservation of peri-urban ecosystems resulting from the limitation of urban sprawl. We define three levels of implementation ( Figure 1). In Level 0, we consider that urban sprawl observed in the past will continue, leading to the additional loss of 3200 ha of peri-urban ecosystems by 2040. In Level 1, we consider that urban sprawl will be limited with the densification (housing density x2) of newly constructed areas, allowing protecting 1600 ha from urbanisation. In Level 2, we consider that urban sprawl will be strongly limited, with the densification (housing density x2) of newly constructed areas and some existing urban areas (urban regeneration), allowing to protect 2400 ha from urbanisation.
(in our case the choice of flood risk management strategies based on NBS). The fact be both the characteristics of the proposed strategies ("attributes") and the respo individual characteristics.
Flood management strategies differ according to three attributes validated the two workshops with local stakeholders.
The first attribute corresponds to the level of conservation of peri-urban ecos resulting from the limitation of urban sprawl. We define three levels of impleme ( Figure 1). In Level 0, we consider that urban sprawl observed in the past will co leading to the additional loss of 3200 ha of peri-urban ecosystems by 2040. In Leve consider that urban sprawl will be limited with the densification (housing density newly constructed areas, allowing protecting 1600 ha from urbanisation. In Leve consider that urban sprawl will be strongly limited, with the densification (housin sity x2) of newly constructed areas and some existing urban areas (urban regene allowing to protect 2400 ha from urbanisation. The second attribute describes different levels of development of green infrast in existing and new urban areas. Four NBS are combined in this attribute: (i) dep and greening of available public space, (ii) replacement of waterproof parking are permeable pavements, (iii) creation of bioswales along the streets, and (iv) transfor of 25% of parking areas in vegetated multifunctional retention basins ( Figure 2). We three levels of implementation. In Level 0, we consider that no more green infrast will be implemented by 2040 than the ones existing at present. Level 1 consists of menting the first three solutions, with narrow 50-cm-wide bioswales that do not the direction of street traffic. Level 2 consists in implementing the four solutions, m-wide bioswales, involving a shift to one-way traffic on some streets. The second attribute describes different levels of development of green infrastructure in existing and new urban areas. Four NBS are combined in this attribute: (i) deproofing and greening of available public space, (ii) replacement of waterproof parking areas with permeable pavements, (iii) creation of bioswales along the streets, and (iv) transformation of 25% of parking areas in vegetated multifunctional retention basins ( Figure 2). We define three levels of implementation. In Level 0, we consider that no more green infrastructure will be implemented by 2040 than the ones existing at present. Level 1 consists of implementing the first three solutions, with narrow 50-cm-wide bioswales that do not change the direction of street traffic. Level 2 consists in implementing the four solutions, with 2-m-wide bioswales, involving a shift to one-way traffic on some streets.
These two attributes therefore correspond to levels of implementation of the two NBS types. Implementing Level 2 of the two attributes potentially involves greater constraints than Level 1, i.e., densification of existing urban areas for the first attribute, changing traffic directions and reducing the number of parking spaces for the second attribute.
The third attribute is the monetary contribution that respondents are willing to pay for financing the flood management strategy, through a 10-year yearly increase in local taxes. It is either 20, 40, 60, 80, 100 or 120 EUR/household/year. These amounts were adjusted after a pre-test survey with 29 respondents (face-to-face interviews with residents of the Lez catchment in August 2019). These two attributes therefore correspond to levels of implementation of the two NBS types. Implementing Level 2 of the two attributes potentially involves greater constraints than Level 1, i.e., densification of existing urban areas for the first attribute, changing traffic directions and reducing the number of parking spaces for the second attribute.
The third attribute is the monetary contribution that respondents are willing to pay for financing the flood management strategy, through a 10-year yearly increase in local taxes. It is either 20, 40, 60, 80, 100 or 120 EUR/household/year. These amounts were adjusted after a pre-test survey with 29 respondents (face-to-face interviews with residents of the Lez catchment in August 2019).

Experimental Design
Respondents were asked to compare two hypothetical flood management strategies (strategy A and strategy B) that make it possible to achieve the same level of flood risk management and choose their preferred one. Strategy A and strategy B differ in terms of NBS implementation levels (from Level 0 to Level 2) and monetary contribution: we present grey solutions (e.g., rainwater network, dikes) as the adjustment variable to achieve the same level of flood risk control. An opt-out option of "neither of the two strategies" is also proposed, which is explicitly defined as not allowing to control the level of flood risk. Consequently, the preferences expressed for Level 1 and Level 2 will be analysed relatively to Level 0 (i.e., for the same level of flood risk control), and not to the opt-out option. We offer this possibility in order to make sure that the preference for the attributes is not driven by the flood reduction benefit but only by the associated ES and negative effects. This is key in this study, to avoid the double counting of flood mitigation benefit that is evaluated through another methodology [52]. The implication of this difference between the opt-out and the alternatives is discussed in Section 3.2.2. An example of choice set is presented in Figure 3.

Experimental Design
Respondents were asked to compare two hypothetical flood management strategies (strategy A and strategy B) that make it possible to achieve the same level of flood risk management and choose their preferred one. Strategy A and strategy B differ in terms of NBS implementation levels (from Level 0 to Level 2) and monetary contribution: we present grey solutions (e.g., rainwater network, dikes) as the adjustment variable to achieve the same level of flood risk control. An opt-out option of "neither of the two strategies" is also proposed, which is explicitly defined as not allowing to control the level of flood risk. Consequently, the preferences expressed for Level 1 and Level 2 will be analysed relatively to Level 0 (i.e., for the same level of flood risk control), and not to the opt-out option. We offer this possibility in order to make sure that the preference for the attributes is not driven by the flood reduction benefit but only by the associated ES and negative effects. This is key in this study, to avoid the double counting of flood mitigation benefit that is evaluated through another methodology [52]. The implication of this difference between the opt-out and the alternatives is discussed in Section 3.2.2. An example of choice set is presented in Figure 3.
A full factorial design with two alternatives would require (3 × 3 × 6) × (3 × 3 × 6 − 1) = 2862 possible choice situations. We therefore used a fractional factorial design (D-efficient) elaborated with the NGENE software, based on prior knowledge on peoples' preferences collected during the pre-test survey. We generated a two-block design with six choice sets each (Appendix B). Each respondent was randomly assigned to one of the blocks, and therefore was confronted with six choice sets.  A full factorial design with two alternatives would require (3 × 3 × 6) × (3 × 3 × 6 − 1) = 2862 possible choice situations. We therefore used a fractional factorial design (Defficient) elaborated with the NGENE software, based on prior knowledge on peoples' preferences collected during the pre-test survey. We generated a two-block design with six choice sets each (Appendix B). Each respondent was randomly assigned to one of the blocks, and therefore was confronted with six choice sets.

Model Specification
The econometric modelling is based on the random utility theory. We assume that individual preferences for a strategy is guided by the relative level of utility the individual can gain by choosing one strategy (identified by its attributes). Each individual make successive choices during the survey. The random utility theory assumes that the utility of the strategy to an individual facing choice situation ( = 1, … , ) , is composed of a deterministic and observable part , and an unobservable random part : where is the value of attribute for strategy facing an individual during choice situation ; represents individual specific utility weight for this attribute; are the individual-specific characteristics; are their weights in the utility function. According to the Conditional Logit (CL) model as developed by [54], the probability that an individual chooses strategy in choice situation ( = 1, … , ) corresponds to the probability that this strategy is the one that gives him the greatest utility ( . With the assumption that the unobservable error terms are independently and identically distributed (IID) among the alternatives and across the population and follow a Gumbel distribution, then the probability that respondent chooses strategy in choice situation is: Figure 3. Example of a choice set.

Model Specification
The econometric modelling is based on the random utility theory. We assume that individual preferences for a strategy is guided by the relative level of utility the individual can gain by choosing one strategy (identified by its k attributes). Each individual n make T successive choices during the survey. The random utility theory assumes that the utility U int of the strategy i to an individual n facing choice situation C t (t = 1, . . . , T), is composed of a deterministic and observable part V int , and an unobservable random part ε int : where x intk is the value of attribute k for strategy i facing an individual n during choice situation C t ; β nk represents individual n specific utility weight for this attribute; z an are the individual-specific characteristics; α a are their weights in the utility function.
According to the Conditional Logit (CL) model as developed by [54], the probability that an individual n chooses strategy i in choice situation C t (t = 1, . . . , T) corresponds to the probability that this strategy i is the one that gives him the greatest utility With the assumption that the unobservable error terms are independently and identically distributed (IID) among the alternatives and across the population and follow a Gumbel distribution, then the probability that respondent n chooses strategy i in choice situation C t is: where β is the vector of k preference parameters, representing the average "weight" of each attribute. This model requires two strong assumptions: the Independence of Irrelevant Alternatives (IIA), and the homogeneity of preferences among respondents [55]. This model assumes the equality of the utility functions across the respondents: the vector β is the same for all individuals. As the analysis of the heterogeneity of preferences within the population is of particular interest in our study, we directly use two alternative models: the mixed logit model and the latent class model. These models introduce individual preference variation, and do not require the IIA property.
The mixed logit (MXL) model (or random parameters logit model) addresses random heterogeneity by assuming, for each individual's preferences, a continuous distribution of the coefficients β k specific to each individual and randomly distributed across the population, with a density function f (β) [56]. We consider an MXL model with independent random coefficients for all the attributes except the monetary attribute. The probability that respondent n make the sequence of T choices is: We specify (β) to be normal: ∼(b, s). The parameters b and s are, respectively, the mean and the variance of these distributions and are to be estimated by simulation. In our estimations, we use 500 Halton draws to carry out this simulation.
The latent class model (LCL) [57] addresses parameter heterogeneity across individuals with a discrete distribution, which is a function of individual characteristics. The population is partitioned into S latent classes within which preferences are homogeneous (members of the same class s ∈ S have a vector of β s parameters) and errors are IIA, but between which preferences are heterogeneous. Each respondent can be probabilistically assigned to any class, given personal characteristics, and the final result is a set of preference parameters for each class. The probability that respondent n makes the sequence of T choices becomes: with M n,s the Probability of n belonging to class s. We analyse preferences heterogeneity by introducing individual characteristics of respondents as covariates in the LCL [32,39].

Data Coding and Statistical Analysis
As recommended by Haaijer et al. [58] for CE with an opt-out option, we use effect coding for the two first attributes. Each attribute is coded with an additional level set to 0 for the opt-out option. For three-level attributes, the first, second and third levels are then represented by the vectors [−1, −1], [1,0], [0, 1]; and [0, 0] for the opt-out option. An additional dummy variable BAU is added in the model. It takes value 0 for the two strategies and value 1 for the opt-out alternative. This dummy variable can be interpreted as the respondent's difference in utility when choosing the opt-out option rather than enrolling in any flood mitigation strategy. In the estimation, if the coefficient for the opt-out is negative, it captures a preference for the implementation of any flood mitigation strategies (NBS or not). The coding is presented in Table 1. Statistical analysis was performed using STATA version 14.2.

Sample Description
We obtained 436 answers from people living in the Lez catchment. From this initial sample, we exclude those who spent less than five minutes to complete the questionnaire (24 respondents), considering that they might have filled the questionnaire without the required care needed, and those who are identified as protest answers (12 respondents) thanks to a standard series of questions [59] added at the end of the CE. Overall, the representativeness of the 400 remaining respondents is quite good regarding age, household size and employment rate (Table 2), despite the under-representation of students, which can be explained by the fact that the survey targeted household representatives, over-representation of women and of high education levels. These socio-demographic variables will be used to test H2 (preferences for NBS vary according to socio-demographic characteristics).
Each respondent indicated his or her municipality and street in the questionnaire. This information then enables us, using the French national ADDRESS database (IGN), to locate each respondent at the centroid of his or her street, and to measure the Euclidian distance to the city centre of Montpellier (DISTANCE). This location is then used to link each respondent to the infra-municipal IRIS unit where he lives, and thus to characterize at a finer scale than that of the municipality, the type of respondent's living neighbourhood. The respondents are located in 126 of the 163 IRIS units of the basin. Figure 4 shows that these IRIS units are diversified in terms of housing density, proportion of houses, and percentage of inhabitants having a car. The representation of this data according to the distance of the centroid of each IRIS unit from the Montpellier city centre confirms the spatial organization of the urban areas of the catchment according to an urban-rural gradient, from the highest housing densities in the city centre to the lowest densities in municipalities further away. Figure 4 also shows a good representativeness of the different types of IRIS units in the survey answers, as well as an average distance to the city centre representative of the basin's population. The DISTANCE variable will be used to test the hypothesis H1 (preferences for NBS vary along an urban-rural gradient).
In terms of attitudinal variables, respondents have different perceptions of the three most important challenges at the catchment scale (based on a list of eight ES). Climate change mitigation is selected by 67% of the respondents, followed by flood risk reduction (58%) and biodiversity conservation (45%). The diversity of the selected bundles of ES shows different concerns among the respondents ( Table 2). The realization of a hierarchical ascending classification from the selected ES allows us to group the respondents into five categories with similar ES bundles. The AIR category (N = 120) is characterised by a very high importance given to air quality, TEMP (N = 59) by a predominance of the issue of temperature regulation in cities, BIODIV (N = 78) by concerns oriented towards the conservation of biodiversity and climate change mitigation, LANDSCAPE (N = 96) by the importance given to landscape preservation, and RECREATION (N = 47) by the selection of maintaining recreational activities as one of the three main issues. These classification-derived variables will be used to test the H3 hypothesis (preferences for NBS vary according to attitudinal characteristics). Table 2 also shows that the vast majority of respondents (85.3%) consider that the level of information provided by the questionnaire is sufficient or largely sufficient to make their choice of strategies. This percentage validates our choices during the pre-test survey in terms of the amount of information provided in the questionnaire, which must be sufficient to make the strategies understandable to individuals with different backgrounds, interests, experiences, and knowledge levels, without being too complex to avoid respondent fatigue from the provision of unnecessary details [59]. However, 14.7% of respondents consider the level of information to be insufficient: this may reflect an initially low level of knowledge of respondents about NBS and flood risk at basin level, but also a need for more detail on the attributes in order to make their choice of strategies in the questionnaire. For the robustness check, we have evaluated the impact on average preferences of withdrawing from the sample respondents who consider the level of information to be insufficient (Appendix A). This impact being extremely limited, we have kept these respondents in the sample.

NBS Perception: Benefits and Negative Effects
The questionnaire provides elements of respondents' perception of the benefits of ES and negative effects of NBS (RQ1). Table 3 displays the percentage of respondents who consider that NBS present significant ES and/or negative effects, by NBS type and implementation level as well as the average number of ES and negative effects they associate with each NBS. Most residents perceive that green infrastructure presents significant benefits and few consider that they present negative effects, although more residents perceive negative effects for the most ambitious level of introduction of green infrastructure. The conservation of peri-urban ecosystems is also largely perceived to generate ES but to a lesser extent and to provide negative effects by more respondents especially for the Level 2. We introduce here a net co-benefits indicator (number of ES excluding flood risk reductionnumber of negative effects) that captures both positive and negative effects of each NBS type and level, and is a proxy of the net benefit to human well-being, as recommended by Schaubroeck [15]. This indicator shows that, on average, the most ambitious level of conservation of peri-urban ecosystems may face the highest opposition. The main ES identified by respondents for each NBS type and level are detailed in Table 3. Flood risk reduction is always quoted as the main ES associated with the proposed NBS, but other ES account for an average of 83% of the ES cited, with regulating services being by far the most frequently cited. The number of co-benefits (ES excluding flood risk reduction) is rather similar between NBS types and levels, with between 2.6 and 3.4 co-benefits quoted on average.
The number of negative effects cited is on average much lower than the number of ES: from 0.4 to 1.7 (Table 3). To improve readability, we group disadvantages into nine categories by adapting the ecosystem disservices typology proposed by Lyytimäki et al. [13] and Von Döhren and Haase [14]: aesthetic, safety, health, economic, mobility, psychological, socio-cultural, effectiveness (Table 3). Psychology, mobility and aesthetic issues are the three most cited disadvantages for the conservation of natural and agricultural areas. Aesthetic, sustainability, mobility, and economic issues are the most quoted for green infrastructure, with mobility issues being by far the most frequently quoted disadvantage for Level 2.

Average Preferences
The results of the MXL model reveal that the coefficients of the different attributes of NBS strategies are positive and statistically significant. On average, respondents prefer the Level 2 of implementation of the two NBS types (Conserv_L2 and GI_L2) over the Level 1 (Conserv_L1 and GI_L1), and the Level 1 over the Level 0. The negative sign of the Payment coefficient is as expected. The coefficients are very similar between the two types of NBS, and do not show a difference in utility between the conservation of peri-urban ecosystems and the development of green infrastructure. These results are surprising compared to the previous analysis of benefits and negative effects (5.2), which shows a relative preference for green infrastructure and stronger opposition to the implementation of Level 2. The analysis also reveals a negative preference for the opt-out option (BAU), i.e., a strong preference for implementing flood mitigation strategies.
The MXL results also show that the coefficients for the SD are almost all significant, except for the Level 1 of green infrastructure ( Table 4), highlighting that there is a significant preference heterogeneity for the attributes in our sample (RQ2). These levels have a large magnitude and suggest potential strong difference of preferences among respondents, especially for the most ambitious level of NBS implementation. The sign of SD is irrelevant, must be interpreted as positive. ***: significance at 1%.

Preference Heterogeneity
We explore this heterogeneity of preferences through the LCL model. The optimal number of classes is identified by testing different models with an increasing number of classes from 2 to 7 ( Table 5). The Bayesian Information Criterion (BIC) would rather lead us towards the 3-class model. The log likelihood, instead, suggests the 5-class model. The Akaike information criteria (AIC) presents improvement as the number of classes increased. Finally, we choose the 5-class model, which provides the greatest improvement in AIC and log likelihood. The mean highest posterior probability of the model is 0.83, which suggests that most of the underlying taste heterogeneity patterns are captured. From the set of individual characteristics of the respondents presented in Table 2, we select four variables to be included in the latent class model as covariates: DISTANCE to test H1 (preferences for NBS vary along an urban-rural gradient), AGE and INCOME to test H2 (preferences for NBS vary according to socio-demographic characteristics), and RECREATION to test H3 (preferences for NBS vary according to attitudinal characteristics). For each group of variables, we select those that have the highest significant influence on class membership from a 5-class LCL model without covariates.
The results of the 5-class LCL model with covariates confirm the existence of preference heterogeneity in the sample (RQ2), with five classes of respondents with contrasting coefficients ( Table 6). The coefficients of the payment attribute are significant and negative for classes 2 to 5 (77% of the respondents), with a higher marginal utility of income for class 4. On the contrary, the choices of the respondents of the first class, the "Whatever price" class (23% of the respondents), are only affected by NBS attributes of the strategy and the payment attribute is insignificant. The coefficient for the BAU variable is significant and negative for classes 1, 3 and 4, indicating a preference for flood mitigation strategies, but positive for class 2. The coefficients for NBS attributes are mostly positive and significant, indicating a preference for NBS in comparison to grey solutions. This is, however, not the case for classes 2 and 4, for which conservation and green infrastructure attributes, respectively, do not significantly affect the choice. We subsequently refer to class 2 as "Green infrastructure only" (12% of the respondents) and to class 4 as "Conservation only" (13% of the respondents).
The NBS attribute coefficients show contrasting preferences for the two types of NBS in classes 1 to 4: respondents in classes 1 and 4 (36% of respondents) have a strong preference for conservation, while respondents in classes 2 and 3 (34% of respondents) express a clear preference for the introduction of nature in the city. Class 5 respondents (30% of respondents) have less pronounced differences in the coefficients between the two types of NBS. Classes 2, 3 and 4 differ from classes 1 and 5 in that they have low or even negative utility in moving from Level 1 to Level 2 of the two NBS attributes (the coefficients associated with Level 2 are of the same order of magnitude or even lower than those of Level 1). The members of class 2 to 4 (47% of the respondents) do not place additional value on the most ambitious NBS. On the contrary, classes 1 and 5 (53% of the respondents) clearly express a preference for the most ambitious levels of NBS implementation, with significantly higher coefficients for Level 2 NBS attributes.

Factors Influencing Preference Heterogeneity
The LCL model shows significant influence of DISTANCE, INCOME and RECRE-ATION on class membership probabilities (Table 6) which confirms respectively H1, H2 and H3 (RQ3). Post-estimation of covariates (Table 7) helps to further analyse differences across classes.
There is a significant influence of distance from the city centre (DISTANCE) on class membership (Table 6). Figure 5 illustrates this influence of the location along an urbanrural gradient on class membership, and highlights in particular an opposite influence of distance from the city centre on the probability of belonging to classes 2 and 5. Respondents in classes 2, 3 and 4 differ from those in classes 1 and 5 in their lower average income quotient (INCOME). Here we find again the distinction between respondents in favour of NBS Level 1 only (classes 2 to 4), and those in favour of the most ambitious levels of implementation (classes 1 and 5). Although the coefficient for AGE does not appear significant in the LCL model, respondents in class 3 are younger than average. Respondents in classes 2 and 4 differ from others in the higher importance placed on recreational services (RECREATION).

Factors Influencing Preference Heterogeneity
The LCL model shows significant influence of DISTANCE, INCOME and RECREA-TION on class membership probabilities (Table 6) which confirms respectively H1, H2 and H3 (RQ3). Post-estimation of covariates (Table 7) helps to further analyse differences across classes.
There is a significant influence of distance from the city centre (DISTANCE) on class membership (Table 6). Figure 5 illustrates this influence of the location along an urbanrural gradient on class membership, and highlights in particular an opposite influence of distance from the city centre on the probability of belonging to classes 2 and 5. Respondents in classes 2, 3 and 4 differ from those in classes 1 and 5 in their lower average income quotient (INCOME). Here we find again the distinction between respondents in favour of NBS Level 1 only (classes 2 to 4), and those in favour of the most ambitious levels of implementation (classes 1 and 5). Although the coefficient for AGE does not appear significant in the LCL model, respondents in class 3 are younger than average. Respondents in classes 2 and 4 differ from others in the higher importance placed on recreational services (RECREATION).   The analysis of perceptions of ES and negative effects of NBS by class (Table 8) provides additional insight into preferences. Table 8 reveals, for instance, that respondents of classes 2 and 5 have very different perceptions of the ES and negative effects associated with NBS. Class 5 respondents ("Pro-Level 2") distinguish themselves clearly from the others by their proximity to the city centre. They associate a high number of ES with NBS, and perceive the benefits associated with air quality and temperature regulation more than the others. Class 2 respondents (12%) are located much farther from the city centre. They perceive fewer ES and more negative effects than the others, and therefore have the lowest net benefit indicators (except for GI Level 1, which they favour). They are the ones who perceive the mobility issues associated with NBS the most. They are also the only ones who express a preference for not implementing flood mitigation strategies. Additionally, the aggregate indicator of net co-benefit reflects some differences in preferences between classes quite well: respondents in class 1 ("Whatever price") that express the highest preferences for NBS, associate the highest number of co-benefits with NBS and by far the lowest number of disadvantages: their net benefit indicator is on average the highest (Table 8). There are however some exceptions: class 4 has lower utility associated with NBS than other classes despite high net co-benefit indicators, for instance.

Heterogeneity in WTP for NBS Strategies
The coefficients obtained for each of the classes are used to estimate the Willingness to Pay (WTP) of households for the two levels of implementation (compared to Level 0), for each type of NBS (Table 9). This WTP is an estimation of the value residents place on the net co-benefits associated with NBS, integrating both ES and negatives effects. We estimate the average marginal WTP in preference space for level θ of the two attributes (as compared to level 0) with − β kθ −β k0 β p where β kθ is the coefficient of level θ of attribute k, β k0 the coefficient for level 0 of attribute k, and β p is the coefficient for the Payment attribute.
In the latent class model, we use the same approach with the coefficients of the five classes. Based on the coefficients obtained with the MXL model (Table 4), we estimate that respondents are willing to pay on average EUR 140.9 and EUR 142.7/household/year if the Level 1 is implemented instead of Level 0, and EUR 178.8 and EUR 180.4 if the Level 2 is implemented instead of Level 0 respectively for conservation of peri-urban ecosystems and the development green infrastructure. These figures represent the mean overall value residents give to the net co-benefits (the level of flood risk control is constant across the different strategies-the estimated value therefore does not include the benefit associated with the reduction in the flood risk, but only ES and negative effects) generated by these different NBS.
The WTPs obtained with the coefficients of the LCL model (Table 6) is another illustration of the heterogeneity of preferences between classes (RQ2), in terms of the order of magnitude of the amounts: from EUR 52/household/year for class 4 to EUR 240/household/year for class 5, but also in terms of marginal utility for the transition from Level 1 to Level 2. The marginal WTPs for a change of level are low or negative for the first three classes. Marginal WTPs are positive for class 5, although the marginal utility per hectare preserved decreases for the most ambitious level (Table 9). Therefore, LCL model results reveal several findings uncovered by the MXL model: the differences in the magnitude of overall WTP across households and the differences in the preferences for different NBS types and levels. The LCL model also allowed for different marginal utilities of income for separate classes.

Perceptions, Preferences and Value Pluralism
This paper provides an innovative contribution to the NBS valuation studies by combining a socio-cultural valuation approach (perception of co-benefits and negative effects) with a stated preference approach (preferences for NBS). Our analysis suggests that residents associate a large diversity of co-benefits with NBS: namely, in order of importance, landscape conservation, air quality improvement, climate change mitigation, local temperature regulation and biodiversity conservation. In order to ensure sustained political support in NBS development, it is essential that NBS aiming at reducing water risks implemented in the city indeed produce these co-benefits. For example, bioswales should be planted with trees and not only covered with grass in order to maximize the effective production of these co-benefits. Our study also identifies negative effects that NBS programs should intend to minimize, such as the potential impact on mobility (especially car transportation) of green infrastructure and the landscape deterioration and the psychologic difficulties associated with ambitious densification of urban habitat. The analysis of differences in perception between individuals is an interesting perspective for socio-cultural evaluations, complementing the economic evaluation of preferences, as it provides additional insight into preferences. The analysis of the differences in perceived ES and negative effects makes it possible to identify some levers for implementing NBS (e.g., air quality and temperature regulation for class 5) or, on the contrary, possible sources of opposition (e.g., mobility issues for class 2). In line with a value pluralism perspective [60], we therefore recommend analysing NBS aiming at reducing flood risk by taking into account co-benefits and negative effects, and by combining monetary valuation approaches with socio-cultural valuation approaches [61], for instance through a specific socio-cultural section in stated preference surveys (contingent valuation, choice experiment).
Although the perception of co-benefits and negative effects is an important driver of preferences, other aspects-not addressed in our research-also influence preferences, such as knowledge and behavioural anomalies. As Venkataramanan et al. (2020) point out, knowledge-that includes "both awareness (familiarity), as well as knowledge, defined as information leading to understanding, or for taking informed action"-has also the potential to shape preferences. Our results highlight potential differences in knowledge levels among respondents (Section 4.1) and reflects some potential knowledge gaps. Although the impact of this assessment of the level of information seems limited on average preferences (Appendix A, robustness check), future approaches would gain from being completed by a specific analysis of the "knowledge" box, as it may also help to understand perception and preferences. This may be achieved by using experimental approaches, with random sub-samples being exposed to different levels of information on the impact of flood protection strategies, and assessing the impact on residents' preferences as in Hoehn et al. [62]. Another key factor influencing choices is behavioural anomalies. Some respondents' choices may not be consistent, with economic rationality leading them to not reveal their true preferences in choice experiments [59]. These issues often arise when individuals apply simplified decision rules to reduce the cognitive burden presented by a survey. Kahneman [63] highlights the existence of two modes of thinking and deciding, the intuitive system (system 1) and the reasoning system (system 2). While respondents following the reasoning system may have stable preferences that could be used in economic valuation, intuitive thinking may be strongly susceptible to framing effects and to variations of contexts and elicitation procedure [64]. Our research is prone to behavioural anomalies as other choice experiments. Respondents may have been influenced by intuitive thinking to respond to our questionnaire rather than their perception of the welfare impact of the attribute levels of the choice alternatives. We nevertheless argue that our method may have limited the impact of these anomalies. First, the sequence of questions in the survey, which makes first respondents weigh co-benefits and negative effects associated with each attribute and then choose alternatives composed of these attribute levels in the CE question, may lead respondents to follow a system 1 thinking and limit the behavioural biases that may be linked to system 2 thinking. Second, the cognitive burden of the choice tasks remains limited as respondents had only to choose between two alternatives and an opt-out option.

Net Co-Benefits and Efficiency Criteria
Our estimations also reveal that resident households are ready to contribute large amounts, through a tax increase, for the development of NBS (from EUR 140 to 180/year, on average). These amounts are largely higher than the tax collected since 2018 to fund flood prevention investment in the Montpellier Urban community at EUR 6.6/person/year. By comparison, benefits associated to flood damage reduction by developing green infrastructure in the Lez catchment at the most ambitious level have been evaluated at EUR 29 million [52]. Total discounted costs for their implementation are estimated at EUR 148 million (excluding the opportunity cost associated with land value) [65]. As a first approximation, considering that 225,250 households live in the catchment area, the total discounted value of the average net co-benefits (MXL model) associated with these NBS is estimated at EUR 355 million. Our results reveal that the net co-benefits generated by these solutions could be a sufficient justification to trigger investment programs by local authorities in ambitious green infrastructure and peri-urban ecosystems preservation. If the decision on NBS strategies is to be based on efficiency criteria, we therefore recommend considering not only the costs of implementation and the benefits related to flood risk control, but also the net co-benefits reflecting a diversity of co-benefits and negative effects.

Preferences Heterogeneity and Environmental Inequalities
Results highlight the heterogeneity of preferences for NBS at the catchment scale and validate our initial hypotheses that preferences for NBS vary along an urban-rural gradient (H1), according to socio-demographic (H2) and attitudinal (H3) characteristics. In particular, we bring an innovative insight to NBS valuation through the analysis of the preferences heterogeneity along an urban-rural gradient. In the context of the development of NBS in rapidly urbanizing catchments, we therefore recommend analysing the preferences of the population at the catchment scale (and not only at the city scale) and studying possible differences along an urban-rural gradient, as they may reflect potential urban environmental inequalities [21,66]. For example, the distance to the city can be a source of inequality because people who live further away from the city centre spend more time and money commuting by car and have no transportation alternatives. Ambitious NBS policies reducing the place of the car in the city, if they are not compensated by an alternative mobility offer (e.g., cycle paths, public transport) are likely to generate more negative effects on the mobility of the inhabitants of peri-urban areas. Respondents of class 2 who live further away from the city centre expressed this negative effect well. A second type of inequality lies in inhabitants of dense urban centres, which are more concerned by air pollution and high temperatures during heat waves. These inhabitants can express a stronger demand for solutions addressing these issues. Again, the analysis of heterogeneity highlights this finding with respondents from class 5 who distinguish themselves from the others by their proximity to the city centre and perceive more than the other the benefits associated with air quality and temperature regulation. These different preferences for NBS among individuals are important to consider when designing NBS strategies and accompanying policies that may include mechanisms to compensate potential distributive inequalities at a catchment scale. In line with Aragão et al. [67], we therefore anticipate exciting research perspectives, combining environmental justice and integrated NBS assessment.

Conclusions
We present the results of a choice experiment implemented with 400 people in a rapidly urbanizing French Mediterranean catchment. This choice experiment investigates the population's preferences for two types of NBS aiming at reducing flood risk that illustrate two different approaches of sustainable cities: (1) the conservation of peri-urban ecosystems from urban sprawl and (2) the development of green infrastructure in the city. Our analysis highlights that people associate numerous co-benefits to NBS, but also negative effects. On average, respondents associate a positive additional value on NBS (compared to grey solutions) for the same level of flood risk management. Our results also show a strong heterogeneity of preferences at the catchment scale. Several factors influence this heterogeneity, including income, location of the respondent along an urban-rural gradient, and perception of the importance of ecosystem services.
From an operational perspective, these results can inform sustainable urban development and flood risk management strategies at the city and the catchment scale, and enhance the implementation of the regional biodiversity conservation strategy whose first challenge is to achieve no net land take by 2040. Indeed, the large value placed by citizens in NBS net co-benefits suggests that programs aiming toward the development of NBS for water-related risks would receive large residents' support. The 2020 results of municipal elections in Montpellier and more generally in large cities of France, that favoured candidates with ambitious city greening programs, are an illustration of this political buy-in. These results also highlight the heterogeneity of preferences and the factors that explain them, such as the location of the respondent along an urban-rural gradient. It is fundamental to identify those groups of individuals that can either benefit from or be harmed by an NBS [9], to anticipate possible oppositions and conflicts. Understanding the reasons for these oppositions (e.g., negative effects borne by a category of the population, lack of information on potential benefits) may help to design mechanisms to tackle the issues raised.
Perspectives for the implementation of this methodological framework are numerous, as solutions studied in this case may be relevant to most urbanized catchments of the Mediterranean region, which are largely exposed to rapid urbanization and dry climate, with violent storms generating flash floods [50]. More globally, the proposed approach can be transposed for the analysis of all types of NBS, including ones that are not primarily aimed at managing floods, such as NBS for erosion control or protection of water resources.

Institutional Review Board Statement: Not applicable.
Informed Consent Statement: Informed consent was obtained from all subjects involved in the study.

Data Availability Statement:
The data presented in this study are available on request from the corresponding author.
In order to reduce this risk of flooding in the future, local authorities are d strategies combining several types of solutions: traditional "grey" solutions (dik ing network for rainwater...), and "nature-based solutions" favouring natural infi and retention of rainwater in the soil, as well as a variety of benefits, as illustrated video.
(Q) Was the video displayed correctly?  Yes  No In this questionnaire, we would like to collect your preferences for two type ture-based solutions:  the conservation of peri-urban ecosystems from urban sprawl  the development of green infrastructure in the city SOLUTION 1: the conservation of peri-urban ecosystems from urban spraw Two levels of ambition are proposed for the preservation of natural and agric areas.
In order to reduce this risk of flooding in the future, local authorities are defining strategies combining several types of solutions: traditional "grey" solutions (dikes, piping network for rainwater...), and "nature-based solutions" favouring natural infiltration and retention of rainwater in the soil, as well as a variety of benefits, as illustrated in this video.

Conflicts of Interest:
The authors declare no conflict of interest. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, or in the decision to publish the results.

Appendix A: Extract from the Questionnaire (Translation of Parts II and III)
Part II-Nature-Based Solutions to Reduce the Risk of Flooding By 2040, it is estimated that the basin will be welcoming almost 140,000 new inhabitants, which will generate an additional need for about 75,000 housing units. Until now, new housing has mainly been built in low-density neighbourhoods to the detriment of natural and agricultural areas. If this process of urban sprawl were to continue, it is estimated that by 2040 almost 10% of agricultural and natural areas would be waterproofed by urbanisation (3200 ha, equivalent to 200 football fields per year). Soil waterproofing impedes the infiltration of water, thereby increasing runoff and the risk of flooding.
In order to reduce this risk of flooding in the future, local authorities are defining strategies combining several types of solutions: traditional "grey" solutions (dikes, piping network for rainwater...), and "nature-based solutions" favouring natural infiltration and retention of rainwater in the soil, as well as a variety of benefits, as illustrated in this video.

(Q) Was the video displayed correctly?  Yes  No
In this questionnaire, we would like to collect your preferences for two types of nature-based solutions:  the conservation of peri-urban ecosystems from urban sprawl  the development of green infrastructure in the city SOLUTION 1: the conservation of peri-urban ecosystems from urban sprawl Two levels of ambition are proposed for the preservation of natural and agricultural areas.

(Q) Was the video displayed correctly?
Yes No In this questionnaire, we would like to collect your preferences for two types of nature-based solutions: • the conservation of peri-urban ecosystems from urban sprawl • the development of green infrastructure in the city SOLUTION 1: the conservation of peri-urban ecosystems from urban sprawl Two levels of ambition are proposed for the preservation of natural and agricultural areas.
Level 1 consists of doubling the housing density of all new neighbourhoods under construction, for example by favouring mixed housing (small apartment blocks and individual houses on small plots) rather than individual villas on large plots. This solution makes it possible to divide by two the surface area that will be waterproofed by 2040 and thus preserve 1600 ha of natural and agricultural areas.
Sustainability 2021, 13, x FOR PEER REVIEW Level 1 consists of doubling the housing density of all new neighbourhoods construction, for example by favouring mixed housing (small apartment blocks an vidual houses on small plots) rather than individual villas on large plots. This so makes it possible to divide by two the surface area that will be waterproofed b and thus preserve 1600 ha of natural and agricultural areas.

(Q) Do you think that achieving the benefits presented in the video with t lution by 2040 is realistic?
 Part III-Flood management strategies in the future Several strategies for developing nature-based solutions are possible in the future. In this section, you will have to choose between several strategies.
Each strategy is divided into three components.
• Components 1 and 2 reflect the levels of implementation of the solutions (0, 1 or 2) presented above.

•
The implementation of these solutions requires significant investment by local authorities. We would therefore also like to determine the contribution that you would agree to make in the form of an increase in your local taxes for 10 years to finance flood risk management (component 3).
We will now introduce you 6 different choices.
• For each choice, you must choose between two strategies (Strategy A or Strategy B) with different combinations of components 1, 2 and 3 presented above. These two strategies lead to the same level of flood risk management. They differ in the levels of implementation of the nature-based solutions; the grey solutions (rainwater network, dikes) are always the adjustment variable in order to achieve the same level of risk.

•
If neither of the two strategies suits you, you can choose "Neither of the two strategies". In this case, which does not include any intervention, flood risk control is not guaranteed.
You must therefore make a total of 6 choices. Please consider each choice in isolation, without taking into account the other choices proposed to you. The sign of SD is irrelevant, must be interpreted as positive. ***: significance at 1%.