There are few previous quantitative studies of the adaptability of floor plans in housing. Instead, earlier research on the subject is often qualitative and based on only a few empirical examples (Beisi 1995; Montellano 2015; Till and Schneider 2005), or on subjective observations (Živković and Jovanović 2012; Seo and Kim 2013). Manum (2006, 2009) is one of few who has made quantitative studies of the adaptability of floor plans. However, Manum (2006, 2009) has studied the specificity versus the generality of floor plans rather than the potential of floor plans to accommodate user-driven changes. Fawcett (2011) has engaged in a mathematical approach using the Poisson distribution of office floor plan adaptability, but his results are not empirically proven.
The questionnaire
In the autumn of 2015, a questionnaire was sent to 462 households living in five multi-residential properties in Sweden constructed between 2001 and 2008. The residents were asked about refurbishments, alterations made to the original layout, and replacements of the original appliances in their apartments. In total, 313 households answered the questionnaire, corresponding to a response rate of 67%. The questionnaire consisted of 64 yes-or-no questions concerning what changes, replacements, or refurbishments had been made to each room in the apartment; it also provided a space for free comments. In addition, the floor plan of the apartment, as it was configured at delivery, was attached to each questionnaire, and the respondents were encouraged to draw the changes they had made (Fig. 1). Furthermore, 11 in-depth interviews were conducted with selected households in order to obtain a better understanding of the motives behind the changes.
Characteristics of the studied properties
One of the studied properties (Case 1) is located in Stockholm, and four (Cases 2–5) are located in Gothenburg, the two largest cities in Sweden (Table 1). The sample was selected in order to provide around 10–15 years of operational use and still secure data reliability, and also to mirror Swedish contemporary housing design. The properties are located in regenerated central, attractive waterfront areas with ambitions for sustainable urban development, e.g., they are energy-efficient buildings, have access to public transport, and are mixed-use. Only owner-occupied apartments, ‘bostadsrätt’—a Swedish kind of condominium—were considered, as users in rental buildings in Sweden are not entitled to perform larger refurbishments or transformations of the dwelling’s layout.
Table 1 Presentation of the five case properties in the study The choice of case studies may affect the possibility of drawing general conclusions. Due to a downturn in Swedish housing construction after the construction boom in the 1960s and 1970s, which resulted in a surplus of housing that lasted until the mid-1990s, few housing projects could be found that had been in operation for 10–15 years. When housing was constructed in the late 1990s and early 2000s, it mostly targeted a wealthy section of residents. This context is mirrored in our sample, where the older Cases 1 and 2 have larger and more spacious apartments designed to attract middle-aged couples who wanted to sell their villas and move to central areas, while Cases 3 through 5 reflect a more recent trend in which centrally located apartments become denser and smaller as a reaction to increasing building costs.
Swedish apartments are delivered fully equipped and fitted, that is, with a full kitchen (furniture, stove, fridge, freezer, dishwasher) and often with a washing machine and drier. If the buyers enter early in the design process, they have the possibility of selecting from a limited option of kitchen furniture design, wall colours, flooring, appliances, and, in some cases, the position of some inner walls. In addition, all new Swedish housing is 100% accessible for the physically impaired, which strongly affects the layout of the apartments. The accessibility regulation is regularly updated.
The respondents
The average age of adults in the responding households was 54 years old, and there were on average 1.97 persons per household. The typical household (63%) consisted of two adults. In 17% (52) of the 313 households, there were children under 18. Of these 52 households with children, 63% had one child, and 34% had two children. In the whole sample, only two households had more than two children. Most of the respondents have attended university or received higher education. According to the statistics, the inhabitants in the studied areas have an average yearly income that is 59% higher (€42,100) than the mean Swedish income (€26,400) in the Stockholm case, and 41% higher (€37,300) in the Gothenburg cases (Göteborg Stad 2015).
Analysis of the floor plans
Two kinds of analysis were performed, and space syntax formed an important starting point. Space syntax is developed as a method to link built form and function; the central idea is that social structure is inherently spatial, and, conversely, the configuration of space has a fundamental social logic (Hillier et al. 1984). The method provides efficient tools to study abstract properties of apartment layouts that are difficult to characterise by comparing floor plans only (Hanson 1998; Manum 2005, 2006).
First, a series of analyses were made with respect to the generality or specificity of space using statistics and metrical studies, including the characteristics of individual rooms, such as their size, shape, or equipment (e.g., fixed furnishings) that determine the use of the space. Rooms are defined as spaces clearly identified by separating walls, doors, or openings. The only exception concerns kitchens that openly communicate with the living room; the kitchen is then defined as the space surrounding the cooking area.
Second, the flexibility of the original layout or the spatial configurations to accommodate changes was analysed. The way users adapted the apartments is understood as an indicator of the opportunities provided by the original layout to make such changes. With rearrangements, we refer to modifications of inner walls (taking down or putting up walls) and modifications of openings (closing existing ones or opening new ones). This type of rearrangement accounts for the largest number of changes in the sample. We have also included changes to the kitchen layout in cases where this altered the layout or circulation in the apartment.
The quantitative analysis used statistical methods with a 5% significance level, even though convex mapping, a tool within the space syntax method, was used, and it has elements of subjective interpretation (Bafna 2003). The material used for the analysis was the respondents’ drawings on the original floor plans, where the rearrangements were visible, complemented with information from the 64 yes-or-no questions about refurbishments and transformations, and the free text comments residents provided about the changes.
Convex mapping
The first step in the analysis was to transform the spatial configurations of the apartments into connectivity graphs, called convex mapping (Bafna 2003; Hillier et al. 1984). Convex mapping consists of partitioning space into convex polygons, which have to be ‘the fewest and the fattest’ (Hillier et al. 1984). A convex polygon is a space in which no straight line between two points in the space crosses its boundary; in other words, the whole convex space is visible from any point in the same space. The definition is clear, but the concept remains intuitive; it is sometimes more relevant not to apply the strict definition when partitioning the layout in order to divide it into meaningful spaces. For example, a glass wall which allows visual connection between spaces is treated as the equivalent of an opaque wall. Manum (2006) has argued, that the way people experience a space is more accurate than the convex partitioning. However, convex mapping has two advantages: first, it obeys a rigorous definition, and, second, it(partly) takes into account the shape of spaces, which is important when it comes to analysing the transformations residents carried out.
Once the apartment is divided into convex spaces, it is possible to draw the connectivity graph (Fig. 2). The nodes are convex polygons, and the edges represent the connections between them. The bottom of the graph is the space through which the apartment is entered. Balconies have been taken into account in the graphs (except in the analysis made in Sect. 4). Storage rooms are not taken into account, except when they are pass-through rooms.
Nodes are not equivalent to rooms. For example, in Fig. 2, the living room is divided into two convex spaces and, consequently, it is represented by two nodes in the graph. However, when analysing the graphs (see Sect. 5.2), the rooms have to be associated with one unique node. When a room is divided into several convex spaces, the largest convex space (in terms of area) is then considered to represent the room. Thus, the room is assigned to the node corresponding to the largest of the convex spaces. In cases where the kitchen and the living room openly communicate, as in the example in Fig. 3, the space is still divided into two nodes because they represent different spatial functions.