The Spatial Factors of Cultural Identity : A Case Study of the Courtyards in a Historical Residential Area in Beijing

The issue of identity is very complex and determining the factors influencing cultural identity is a key issue. Several scholars have studied the factors influencing cultural identity. However, relatively little attention has been paid to how spatial factors influence cultural identity. This paper takes a historical and cultural conservation block in Beijing, China, as the research area. This area includes eight lanes and is called Eight Lanes in North Xisi. The purpose of this paper is to demonstrate that spatial changes in living conditions, layout, size, architectural form, and decoration, etc. in the courtyards led to changes in the traditional culture of the courtyards, which ceased to reflect the original residential culture, which led to a decline in cultural identity. Spatial factors directly affected the residents’ cultural identification with harmonious courtyard culture. This view adds nuance to debates about cultural identity and the factors that influence it. From the perspective of cultural geography and by using structural equation modelling, we draw two main conclusions. First, the smaller proportion of public space (The term “space” as it is used in this paper is based on the understanding of humanistic geographers and refers to physical space; it does not acquire meaning and cultures.) is one main factor affecting residents’ identification with the harmonious residential culture of the case area. Second, the greater population density of the courtyards is another main factor affecting residents’ identification with the area’s harmonious residential culture.


Introduction
The word "identity" comes from the Latin word "idem", meaning "sameness".Identity can be understood as acknowledging and agreeing with which one identifies.The issue of identity came to the fore during the regionalization process of the 1980s [1].It is considered necessary to distinguish between "I" and "the other" to produce common action [2].Identity can create social and cultural cohesion [3].Cultural identity is a description of self-characteristics [4].It involves citizenship and a sense of belonging [5] and is the basis for the formation of other types of identity.Indeed, some scholars believe that cultural identity is the basis for the formation of national identity, ethnic identity, local identity, and political identity [6].
The issue of identity is very complex and has been the subject of in-depth studies in the fields of semiology, sociology, environmental psychology, and architectural criticism, etc.One of the key questions of such studies is, "What are the factors influencing cultural identity?"Several scholars have studied these influencing factors, including individual attributes, the external environment, and the combined effects of these factors.
First, with respect to individual attributes, sociologist Bernard Lazerwitz from Indiana University proposed that, in addition to conventional factors such as education, religion, and friendship, the factors influencing Jewish cultural identity include unique aspects of Jewish culture, such as Zionism [7].Sociologist Ralph Segalman from Indiana University suggested that the Jewish lifestyle is also a factor influencing Jewish cultural identity [8].Scholar Leo Driedger of the University of Manitoba studied the factors influencing cultural identity in students of different ethnicities at the University of Manitoba.He found six factors influencing cultural identity, which, in order of decreasing importance are religion, endogamous marriage, language use, ethnic groups, education, and friendship.Second, the factors influencing cultural identity differ across ethnic groups.For example, the factors influencing Jewish identity are mainly kin marriage, friendship, and education, but the factors influencing French identity are language and religion, etc. [9].Scholars Susham Gupta and Dinesh Bhugra of the Central and North West London NHS Foundation Trust hold that the factors influencing cultural identity include attitude, religion, and religious rituals, eating habits, and clothing [10].
Second, with respect to external environment factors, geographer Peter Gold of the University of the West of England stated that the factors influencing cultural identity are historical, political, and cultural.He studied the factors influencing residents' cultural identity in Gibraltar.Eighty percent of residents had been born in Gibraltar, and their families had lived there for several generations.The study found that residents in Gibraltar were more willing to identify themselves as British Gibraltarian or English than as Spanish.The factors influencing residents' cultural identity in Gibraltar were mainly historical, political, and cultural.First, the historical factors include the fact that Spain implemented a 16-year blockade and quarantine of Gibraltar beginning in 1969.Because Gibraltar relied heavily on Spain for daily supplies, transportation, traffic, and communication, etc., this isolation made daily life difficult for residents of Gibraltar.Second, regarding the political factors, residents of Gibraltar believe that the Spanish government continues the despotism of the Franco era and its claim to ownership of the territory.Moreover, most government officials in Gibraltar are English.Third, with respect to cultural factors, Gibraltarians have lived in Gibraltar under British culture for an average of six generations [11].Hosna Shewly, a geographer at Durham University, agreed with Gold's assessment, indicating that, at present, the residents of Gibraltar do not identify with the Spanish culture at their border because Britain and Spain have a history of conflict over Gibraltar's sovereignty, and the residents in Gibraltar have accepted British culture out of habit [12].Katarina Szulenyiova, a geographer at the University of Cambridge, also agreed with Gold's perspective and asserted that the most important factors influencing the residents' cultural identity were political [13].Lahoud A.L. from Lebanese American University argued that the unique architecture of Lebanese dwellings and their history play important roles in the identity of the Lebanese community and nation [14].Lucia Martinez-Quintana and Eduardo Caceres-Morales of the University of Las Palmas, Spain, performed a case study of cultural identity on the Island of Saint-Louis, Senegal, and reported that the factors influencing cultural identity are political, social, and economic factors related to functional transformation [15].
Third, with respect to comprehensive factors, Nechitaylo Vladimir of the National Academy of Managerial Staff of Culture and Arts Herald in Ukraine has noted that culture and art, including customs, cultural traditions, language, and religion, are the key factors of national cultural identity.Folk choreography is also an important factor in the formation of individual and collective national and cultural identity [16].Schwartz, S.J. and Zamboanga, B.L. et al. of the University of Miami and Swarthmore College investigated 349 emerging-adult students in the USA with different heritage-culture identities in order to examine the structure of cultural identity.They considered three variables in the study: familial ethnic socialization, perceptions of discrimination, and acculturative stress.The results showed that these variables interacted to influence cultural identity [17].
In addition to these factors, cultural identity is also related to spatial factors.This paper adds nuance to debates over the factors shaping identity and demonstrates the influence of spatial factors from the perspective of cultural geography.This paper takes Eight Lanes in North Xisi, a historic preservation area in central Beijing, as the research area and uses structural equation modelling (SEM) to study residents' cultural identification with the area's harmonious residential culture.

Eight Lanes in North Xisi
The Eight Lanes in North Xisi were constructed in the Yuan Dynasty (1276-1285).The zone was one of "Beijing's first batch of historical and cultural protection zones" established in 1990, and it is one of the most representative residential areas formed by lanes among the 25 historical and cultural districts in the old city of Beijing.
During the Yuan dynasty, the Eight Lanes in North Xisi were located in the southwest part of the city.Influenced by the urban road pattern, the area comprised eight parallel lanes.In the first half of the Ming Dynasty, the north wall and the south wall of Beijing City moved to the south, and the zone was located in the northwest part of the city.After the second half of the Ming Dynasty, a new outer city was built in Beijing that was based on the inner city, and the Eight Lanes in North Xisi were located in the north part of the city.At present, the protected area is located in northwest Beijing in the Xicheng District and is under the jurisdiction of the Xinjiekou Subdistrict Office.The relative location of the Eight Lanes in North Xisi in the old city of Beijing is shown in Figure 1.

Eight Lanes in North Xisi
The Eight Lanes in North Xisi were constructed in the Yuan Dynasty (1276-1285).The zone was one of "Beijing's first batch of historical and cultural protection zones" established in 1990, and it is one of the most representative residential areas formed by lanes among the 25 historical and cultural districts in the old city of Beijing.
During the Yuan dynasty, the Eight Lanes in North Xisi were located in the southwest part of the city.Influenced by the urban road pattern, the area comprised eight parallel lanes.In the first half of the Ming Dynasty, the north wall and the south wall of Beijing City moved to the south, and the zone was located in the northwest part of the city.After the second half of the Ming Dynasty, a new outer city was built in Beijing that was based on the inner city, and the Eight Lanes in North Xisi were located in the north part of the city.At present, the protected area is located in northwest Beijing in the Xicheng District and is under the jurisdiction of the Xinjiekou Subdistrict Office.The relative location of the Eight Lanes in North Xisi in the old city of Beijing is shown in Figure 1.
At present, there are 576 door numbers in the area, including a total of 3870 registered households and more than 1000 registered floating population households, with 9942 permanent residents [18].Its northern boundary is along E. Pinganli Street, the southern boundary is N. Xisi 1st Lane, the western boundary is Zhao Dengyu Road, and the eastern boundary is N. Xisi Street.From south to north, these lanes are respectively N. Xisi 1st Lane, N. Xisi 2nd Lane, N. Xisi 3rd Lane, and so on to N. Xisi 8th lane (Figure 2).At present, there are 576 door numbers in the area, including a total of 3870 registered households and more than 1000 registered floating population households, with 9942 permanent residents [18].Its northern boundary is along E. Pinganli Street, the southern boundary is N. Xisi 1st Lane, the western boundary is Zhao Dengyu Road, and the eastern boundary is N. Xisi Street.From south to north, these lanes are respectively N. Xisi 1st Lane, N. Xisi 2nd Lane, N. Xisi 3rd Lane, and so on to N. Xisi 8th lane (Figure 2).

Residential Culture in the Study Area
As a traditional residential area with more than 700 years of history, the Eight Lanes in North Xisi area has a rich traditional culture.This traditional culture is represented in three spatial details: the layout and size, the architectural form, and the decoration of the courtyards.First, the courtyards in the area have different layouts and sizes corresponding to the different ranks of officials in the Ming and Qing dynasties.For example, in the 26th year of Hongwu (1393), officials of the first and second ranks had a five-room, nine-frame hall; officials of the third, fourth, and fifth ranks had a fiveroom, seven-frame hall.Commoners' dwellings could not exceed a three-room, five-frame hall [19].Second, there are structures in different locations and with different forms in a single courtyard, including the principal rooms, wing rooms, side rooms, and reverse-facing rooms, and the statuses of those who lived in these structures were different: elders usually lived in the principal room, and the servants usually lived in the reverse-facing rooms.This distinction reflects traditional Chinese culture in its emphasis on priority by rank and respect for seniority [20,21].Third, in the Ming and Qing dynasties, the decorations and locations of the houses differed according to the hierarchical status of the residents.For example, in the Guangxu period (1871-1908), for officials above the second rank, Watch Animals could be placed on the ridges of the roof.For officials of the third rank, the doorposts were decorated with black chalk.For officials below the fourth rank, the doorposts were painted with flowers [22].The form of the gate and style of the quadrangle courtyards also reflected the status of the residents.For example, in the 8th year of the reign of Emperor Shunzhi (1651), the door steps were two chi high ("chi" is an ancient unit of measure in China; one chi is approximately 31 centimeters) for officials of the first through third ranks and one chi high for officials below the fourth rank and commoners, and the door was decorated with black [22].In addition, the building decoration in the courtyards primarily depicts plants, animals, ancient artefacts, and combinations of patterns; the representational culture is depicted using traditional symbols of good fortune, with the inspirational culture and ethical culture expressed through homophonic, consonant, and hieroglyphic methods (Figure 3) [19,23].

Residential Culture in the Study Area
As a traditional residential area with more than 700 years of history, the Eight Lanes in North Xisi area has a rich traditional culture.This traditional culture is represented in three spatial details: the layout and size, the architectural form, and the decoration of the courtyards.First, the courtyards in the area have different layouts and sizes corresponding to the different ranks of officials in the Ming and Qing dynasties.For example, in the 26th year of Hongwu (1393), officials of the first and second ranks had a five-room, nine-frame hall; officials of the third, fourth, and fifth ranks had a five-room, seven-frame hall.Commoners' dwellings could not exceed a three-room, five-frame hall [19].Second, there are structures in different locations and with different forms in a single courtyard, including the principal rooms, wing rooms, side rooms, and reverse-facing rooms, and the statuses of those who lived in these structures were different: elders usually lived in the principal room, and the servants usually lived in the reverse-facing rooms.This distinction reflects traditional Chinese culture in its emphasis on priority by rank and respect for seniority [20,21].Third, in the Ming and Qing dynasties, the decorations and locations of the houses differed according to the hierarchical status of the residents.For example, in the Guangxu period (1871-1908), for officials above the second rank, Watch Animals could be placed on the ridges of the roof.For officials of the third rank, the doorposts were decorated with black chalk.For officials below the fourth rank, the doorposts were painted with flowers [22].The form of the gate and style of the quadrangle courtyards also reflected the status of the residents.For example, in the 8th year of the reign of Emperor Shunzhi (1651), the door steps were two chi high ("chi" is an ancient unit of measure in China; one chi is approximately 31 centimeters) for officials of the first through third ranks and one chi high for officials below the fourth rank and commoners, and the door was decorated with black [22].In addition, the building decoration in the courtyards primarily depicts plants, animals, ancient artefacts, and combinations of patterns; the representational culture is depicted using traditional symbols of good fortune, with the inspirational culture and ethical culture expressed through homophonic, consonant, and hieroglyphic methods (Figure 3) [19,23].
The layout and size, architectural form, and decoration in the courtyards express traditional Chinese culture by adherence to the principles of priority by rank and respect for seniority and in the use of traditional symbols of good fortune and of inspirational culture and ethical culture.Indirectly, these spatial details also express a harmonious neighborhood relationship.Therefore, the core culture represented by these three spatial aspects is "harmonious culture".Historically, the Chinese gradually accepted and identified with this living pattern and traditional culture [24].The origin of this identity is traditional Chinese philosophy [25,26].Although the philosophy of harmoniousness had historical limitations in Chinese feudal society and was embodied in a certain class structure, its pursuit of humility, respect and other excellent moral qualities; its focus on pursuing social stability with people living in peace and contentment; the patriotic national spirit; and the innovative spirit of the times were all consistent with today's idea of "harmony" [27].The rites and ethics of the culture of representation embody harmony between people, and the optimism and inspirational culture embody that between man and nature [28].The layout and size, architectural form, and decoration in the courtyards express traditional Chinese culture by adherence to the principles of priority by rank and respect for seniority and in the use of traditional symbols of good fortune and of inspirational culture and ethical culture.Indirectly, these spatial details also express a harmonious neighborhood relationship.Therefore, the core culture represented by these three spatial aspects is "harmonious culture".Historically, the Chinese gradually accepted and identified with this living pattern and traditional culture [24].The origin of this identity is traditional Chinese philosophy [25,26].Although the philosophy of harmoniousness had historical limitations in Chinese feudal society and was embodied in a certain class structure, its pursuit of humility, respect and other excellent moral qualities; its focus on pursuing social stability with people living in peace and contentment; the patriotic national spirit; and the innovative spirit of the times were all consistent with today's idea of "harmony" [27].The rites and ethics of the culture of representation embody harmony between people, and the optimism and inspirational culture embody that between man and nature [28].
However, two points deserve further discussion.First, the courtyards' size, location, decoration, and other characteristics have changed, and they are not the same as in the past due to changes in the living conditions in these courtyards and due to Chinese architecture's civil structure (Figures 4 and 5).Second, these characteristics are almost entirely uniform in the courtyards in North Xisi.Therefore, the changes in the courtyards and architecture have made depleted them of architectural meaning and made them unrecognizable.However, two points deserve further discussion.First, the courtyards' size, location, decoration, and other characteristics have changed, and they are not the same as in the past due to changes in the living conditions in these courtyards and due to Chinese architecture's civil structure (Figures 4 and 5).Second, these characteristics are almost entirely uniform in the courtyards in North Xisi.Therefore, the changes in the courtyards and architecture have made depleted them of architectural meaning and made them unrecognizable.The layout and size, architectural form, and decoration in the courtyards express traditional Chinese culture by adherence to the principles of priority by rank and respect for seniority and in the use of traditional symbols of good fortune and of inspirational culture and ethical culture.Indirectly, these spatial details also express a harmonious neighborhood relationship.Therefore, the core culture represented by these three spatial aspects is "harmonious culture".Historically, the Chinese gradually accepted and identified with this living pattern and traditional culture [24].The origin of this identity is traditional Chinese philosophy [25,26].Although the philosophy of harmoniousness had historical limitations in Chinese feudal society and was embodied in a certain class structure, its pursuit of humility, respect and other excellent moral qualities; its focus on pursuing social stability with people living in peace and contentment; the patriotic national spirit; and the innovative spirit of the times were all consistent with today's idea of "harmony" [27].The rites and ethics of the culture of representation embody harmony between people, and the optimism and inspirational culture embody that between man and nature [28].
However, two points deserve further discussion.First, the courtyards' size, location, decoration, and other characteristics have changed, and they are not the same as in the past due to changes in the living conditions in these courtyards and due to Chinese architecture's civil structure (Figures 4 and 5).Second, these characteristics are almost entirely uniform in the courtyards in North Xisi.Therefore, the changes in the courtyards and architecture have made depleted them of architectural meaning and made them unrecognizable.

Research Methods
According to Ellis, Barry and Robinson, who are scholars in the architecture school at Queen's University in Belfast, UK, quantitative methods are usually adopted to study changes in people's feelings and attitudes toward a place to understand their cultural identity [29].Stedman, from Pennsylvania State University in the United States, also notes that cultural identity is usually measured quantitatively [30].
In our paper, SEM is used for the following reasons: first, SEM overcomes the shortcomings of traditional methods of cultural identity research, which are typically based on the simple probability statistics of the interview content or a simple questionnaire.Furthermore, SEM can be used to analyze the relations among the factors and influential elements of cultural identity, making it more scientific, comprehensive, and objective.Second, SEM is a multivariate analysis framework that integrates path, factor, and regression analyses and can use measurable observable variables to analyze the nonmeasurable latent variables of "harmonious culture" [31].Third, SEM overcomes the shortcomings of traditional analytical methods (e.g., multiple regression and path analysis) caused by measurement errors with observable variables.SEM also offers the advantages of modelling multiple variables and the ability to examine the overall fit of the model.However, one of the features of SEM is that the initial model settings usually do not fit the data well, and the model needs to be modified and verified with the same data [32].Our purpose is to analyze the theoretical assumptions of this paper and improve the adaptability of and simplify the model.

Model Building
Based on the existing research results and combined with the actual situation in this case, SEM is performed in this paper with four latent variables: living conditions of the courtyard, living conditions of one's own house, organization in the courtyard, and identification with a harmonious culture.The latent variables and observable variables of this model are shown in Figure 6 and Table 1.The variables and paths are designed based on the following: (1) According to Pettigrew, the nature and size of neighborhoods influence the link and contact between them, which in turn influence cultural identity [33].Allport noted that neighborhoods are an important venue for intergroup contact [34].Zhou Shangyi found that the proportion of out-of-towners living in a courtyard influenced residents' identification with the residential culture [24].Xue Rui observed that the residential conditions of courtyards in the Xisi district were closely related to the number of

Research Methods
According to Ellis, Barry and Robinson, who are scholars in the architecture school at Queen's University in Belfast, UK, quantitative methods are usually adopted to study changes in people's feelings and attitudes toward a place to understand their cultural identity [29].Stedman, from Pennsylvania State University in the United States, also notes that cultural identity is usually measured quantitatively [30].
In our paper, SEM is used for the following reasons: first, SEM overcomes the shortcomings of traditional methods of cultural identity research, which are typically based on the simple probability statistics of the interview content or a simple questionnaire.Furthermore, SEM can be used to analyze the relations among the factors and influential elements of cultural identity, making it more scientific, comprehensive, and objective.Second, SEM is a multivariate analysis framework that integrates path, factor, and regression analyses and can use measurable observable variables to analyze the non-measurable latent variables of "harmonious culture" [31].Third, SEM overcomes the shortcomings of traditional analytical methods (e.g., multiple regression and path analysis) caused by measurement errors with observable variables.SEM also offers the advantages of modelling multiple variables and the ability to examine the overall fit of the model.However, one of the features of SEM is that the initial model settings usually do not fit the data well, and the model needs to be modified and verified with the same data [32].Our purpose is to analyze the theoretical assumptions of this paper and improve the adaptability of and simplify the model.

Model Building
Based on the existing research results and combined with the actual situation in this case, SEM is performed in this paper with four latent variables: living conditions of the courtyard, living conditions of one's own house, organization in the courtyard, and identification with a harmonious culture.The latent variables and observable variables of this model are shown in Figure 6 and Table 1.The variables and paths are designed based on the following: (1) According to Pettigrew, the nature and size of neighborhoods influence the link and contact between them, which in turn influence cultural identity [33].Allport noted that neighborhoods are an important venue for intergroup contact [34].Zhou Shangyi found that the proportion of out-of-towners living in a courtyard influenced residents' identification with the residential culture [24].Xue Rui observed that the residential conditions of courtyards in the Xisi district were closely related to the number of households, the number of people, and the per capita area [35].Michelson found that an excellent physical environment was more conducive to promoting neighbors' culturally required behavior [36].Based on these findings, the four observable variables labelled C1-C4 were used in this paper to evaluate the latent variable of "living conditions of the courtyard", and a path of positive influence (H3) from "living conditions of the courtyard" to "identification with a harmonious culture" was assumed.( 2) According to research by Hanif, Hashemnejad, and Ghafourian, physical comfort depends on proper living conditions, and physical discomfort can lead to psychological discomposure [37].Muller proposed that some behavioral norms are the result of cultural traditions and clearly have spatial implications.Thus, limitations to space should be adjusted by, for example, manipulating perceived distance [38].Through investigation of the courtyards in the Xisi district, Li Yingbo et al. found that most residents believed it was necessary to increase the size and number of houses, as their living conditions limited their identification with courtyard culture and residents would be more harmonious if their living conditions improved [39].According to these findings, the latent variable of "living conditions of one's own house" was determined in this paper by four observation variables labelled S1-S4, and a path of positive influence (H2) from "living conditions of one's own house" to "identification with a harmonious culture" was assumed.(3) Plummer argued that non-governmental civil society could play a positive role in mediating conflicts and resolving disputes and could strengthen the cultural identity of residents [40].Zhou Shangyi and others have found that residents of courtyards in the Xisi area that have authority figures are more harmonious [24].According to Carmona, De Magalhaes and Hammond, space organizers set rules, maintain facilities, and clean up garbage for all space users [41].Jiao Yixue also asserted that when the central figure of the courtyard participates and acts as a moderator in the courts, the needs and desires of the residents are valued and respected, and the residents' identification with a harmonious culture can be strengthened [42].Wang Liang suggested that residents can strengthen their sense of belonging and identity if they are organized to cope with unexpected events [43].Based on these studies, "organization in the courtyard" is assigned three observable variables, O1-O3, and a path of positive influence (H5) from "organization in the courtyard" to "identification with a harmonious culture" was hypothesized.(4) According to Hanif, Hashemnejad, and Ghafourian, spatial organization can be studied as a method of expressing certain sets of cultural norms [37].This paper thus assumes a path of positive impact (H4) from "living conditions of the courtyard" to "organization in the courtyard".(5) Smith asserted that houses that fail to take adequate account of the structure and needs of residents do not consider the unique identity of local cultural tradition [44].Cui Hui and others noted that historically, the public space of quadrangle courtyards was a place for residents to communicate with each other, and residents formed harmonious neighborhood feelings in such spaces [45].Some scholars have suggested that sustainable dwellings require large open spaces [37].Moreover, according to Wang Zhenzhen, the traditional public space of the historical district contributed to a harmonious neighborhood life [46].Upon investigation, Liu Yuanxin found that in Beijing quadrangle courtyards, many households currently forcibly occupy the public space (by building additions to houses, storing clutter, etc.), and it is not uncommon for residents to expect each other to mind their own business, which results in poor public health conditions and frequent conflicts among residents [47].Zhou Kejing and others argued that the small, crowded public space of Beijing quadrangle courtyards has negative effects on residents, severely affecting their mood and identification with the residential culture [48].Accordingly, four observable variables, M1-M4, are assigned to the latent variable "identification with a harmonious culture".(6) Yuan Xi found that in modern quadrangle courtyards, the size and number of rooms in a house are directly proportional to the income of the family, which is also directly proportional to the number of households and the number of residents in the courtyard [49].Thus, this paper assumes a path of positive impact (H1) from "living conditions of the courtyard" to "living conditions of one's own house".(7) Zhou Shangyi reported that in many of the courtyards in the Xisi district, there are key individuals in the courtyard who have more control over the spatial discourse and more resources and shoulder more responsibilities, such as cleaning the courtyard, collecting public electricity fees, dredging the toilets, and resolving neighborhood conflicts [24].Accordingly, this paper assumes a path of positive influence (H6) from "living conditions of one's own house" to "organization in the courtyard".

Questionnaire Design and Investigation
The questionnaire designed for this paper has three parts.The first part collects information on the basic attributes of the residents, including the address of residence, age, sex, occupation, and monthly income.The second part surveys residents' understanding of and identification with the area's harmonious culture.The third part is a survey of the observable variables.Residents responded to most of the items using a 5-point Likert scale ranging from 1 to 5, which indicate more or less favorability, respectively.In this study, a higher score indicated greater perceived harmoniousness of the culture.The characteristics of the survey conducted in the Eight Lanes in North Xisi are shown in Table 2.

Questionnaire Design and Investigation
The questionnaire designed for this paper has three parts.The first part collects information on the basic attributes of the residents, including the address of residence, age, sex, occupation, and monthly income.The second part surveys residents' understanding of and identification with the area's harmonious culture.The third part is a survey of the observable variables.Residents responded to most of the items using a 5-point Likert scale ranging from 1 to 5, which indicate more or less favorability, respectively.In this study, a higher score indicated greater perceived harmoniousness of the culture.The characteristics of the survey conducted in the Eight Lanes in North Xisi are shown in Table 2. (1) According to the number of courtyards in each lane and the 576 total courtyards in the area, 115 samples are divided into eight lanes in this area.(2) In each lane, the quota of men and women is the same, as is the ratio of locals to out-of-towners.(3) Under these conditions, random sampling is performed.Each courtyard receives one questionnaire.
104/115, 90.43% (The sample size conforms to the requirement for SEM, as some scholars believe that calculations can be performed as long as the sample size is greater than 65, and some believe that the sample size should exceed 100 [51].) From May to June 2015

Data Processing and Model Checking
In this paper, means were used in cases of missing data, and the abnormal data were checked, corrected, or eliminated.Some items take the form of ratio variables (such as per capita area), and scale conversion is thus performed to convert ratio variables into nominal level variables, divided into five levels.The missing value for the ratio variables was substituted with the "sequence mean" in SPSS before conversion into a nominal level variable.AMOS17.0 software was used for analysis.

Analysis of the Demographic Characteristics of the Respondents
The demographic characteristics of the respondents are shown in Table 3.The survey respondents were evenly distributed across the professions and stably employed.They represent the backbone of society and range in age from 26 to 74.The questionnaire adequately reflects the demographics of residents in the region.

Time of Investigation
Stratified quota random sampling (This method saves time, manpower, and material resources; can be used to calculate the overall index value using the survey values of a few individuals, and can ensure the representativeness of the sample [50].)(1) According to the number of courtyards in each lane and the 576 total courtyards in the area, 115 samples are divided into eight lanes in this area.(2) In each lane, the quota of men and women is the same, as is the ratio of locals to out-of-towners.(3) Under these conditions, random sampling is performed.Each courtyard receives one questionnaire.
104/115, 90.43% (The sample size conforms to the requirement for SEM, as some scholars believe that calculations can be performed as long as the sample size is greater than 65, and some believe that the sample size should exceed 100 [51].) From May to June 2015

Data Processing and Model Checking
In this paper, means were used in cases of missing data, and the abnormal data were checked, corrected, or eliminated.Some items take the form of ratio variables (such as per capita area), and scale conversion is thus performed to convert ratio variables into nominal level variables, divided into five levels.The missing value for the ratio variables was substituted with the "sequence mean" in SPSS before conversion into a nominal level variable.AMOS17.0 software was used for analysis.

Analysis of the Demographic Characteristics of the Respondents
The demographic characteristics of the respondents are shown in Table 3.The survey respondents were evenly distributed across the professions and stably employed.They represent the backbone of society and range in age from 26 to 74.The questionnaire adequately reflects the demographics of residents in the region.

Model Reliability and Validity Test
First, confirmatory factor analysis was performed on the variables of the harmonious cultural identity survey.The results showed that the Kaiser-Meyer-Olkin (KMO) value of the factor analysis quality test was 0.600, greater than 0.5, indicating that factor analysis could be performed [52].The significance (Sig.) of the data was 0.000, which was less than 0.001 and passed Bartlett's test, indicating that the survey variables of the questionnaire were suitable for factor analysis (Table 4).

Model Reliability and Validity Test
First, confirmatory factor analysis was performed on the variables of the harmonious cultural identity survey.The results showed that the Kaiser-Meyer-Olkin (KMO) value of the factor analysis quality test was 0.600, greater than 0.5, indicating that factor analysis could be performed [52].The significance (Sig.) of the data was 0.000, which was less than 0.001 and passed Bartlett's test, indicating that the survey variables of the questionnaire were suitable for factor analysis (Table 4).Second, principal component analysis was performed, and the components with a characteristic value greater than 1 were obtained by the factor rotation mode of the maximum variance rotation.Four variables were extracted from among all the variables, and the factor loading was generally greater than the standard of 0.5.The cumulative value of these common factors as a percentage of total variance was 66.4%, and the number of common factors was basically in line with the anticipated latent variables.However, the analysis excluded four observable variables: C4, S4, M4, and O3 (Table 2).Therefore, 4 latent variables and 11 observable variables were ultimately entered into the model.Third, the 11 observable variables of the revised model were verified by composite reliability (CR) and average variance extracted (AVE) (Table 5), and the CR of the latent variables was calculated to be above 0.6.It is generally believed that if the CR of latent variables is above 0.6, the intrinsic quality of the model is good; thus, the quality of this model is ideal.AVE is a ratio, and the larger the value, the more effective the measurement indicators are for the latent characteristics of their common factors [53].Most of the values in the table are greater than 0.5-only one is slightly below 0.5.Thus, the intrinsic quality of the model is good.Finally, the reliability of each level of the survey data was analyzed.According to the Cronbach's α coefficient (CA), the reliability of this questionnaire is adequate (Table 5).

Model Correction and Index Test
The refined model was examined, and some indicators did not meet the test criteria.Thus, the model needed to be corrected.First, the theoretical significance of the model must be considered during correction.Second, it is necessary to add or delete paths according to the modification index (MI) and the t value (critical ratio) to improve the model fit and make the model more parsimonious.Paths are added when the preferred MI value is at maximum; paths are deleted when the preferred t value is at minimum.According to these principles, the path from "living conditions of one's own house" to "living conditions of the courtyard" was added and tested according to the MI value.This change resulted in one pair of variables becoming connected, causing other MI values to change.After the test, the chi-square value was reduced (chi-square = 48), so the correction was meaningful.However, some indicators still did not meet the criteria and needed to be corrected, as indicated by the minimum value of t.Thus, the path from "organization in the courtyard" "identification with a harmonious culture" was deleted.The process of path modification and model correction is shown in Figure 7.The second modified model was analyzed and tested using the maximum likelihood method.According to the results, the model is convergent and identifiable.The chi-square value = 48.973,indicating no significant increase and that path deletion is feasible.The Df and p values met the criteria.
The error values of the potential and observable variables of the model were both positive and reached 0.05, and the standard deviation of the variance was relatively small, indicating no model definition error and no model violation of the recognition rules.The corrected standardized parameter estimation path model is shown in Figure 8.The other values of the test met the standard (the model adaptation table is shown in Table 6); therefore, the model has good fit and is parsimonious.However, some indicators still did not meet the criteria and needed to be corrected, as indicated by the minimum value of t.Thus, the path from "organization in the courtyard" to "identification with a harmonious culture" was deleted.The process of path modification and model correction is shown in Figure 7.The second modified model was analyzed and tested using the maximum likelihood method.According to the results, the model is convergent and identifiable.The chi-square value = 48.973,indicating no significant increase and that path deletion is feasible.The Df and p values met the criteria.The error values of the potential and observable variables of the model were both positive and reached 0.05, and the standard deviation of the variance was relatively small, indicating no model definition error and no model violation of the recognition rules.The corrected standardized parameter estimation path model is shown in Figure 8.The other values of the test met the standard (the model adaptation table is shown in Table 6); therefore, the model has good fit and is parsimonious.However, some indicators still did not meet the criteria and needed to be corrected, as indicated by the minimum value of t.Thus, the path from "organization in the courtyard" to "identification with a harmonious culture" was deleted.The process of path modification and model correction is shown in Figure 7.The second modified model was analyzed and tested using the maximum likelihood method.According to the results, the model is convergent and identifiable.The chi-square value = 48.973,indicating no significant increase and that path deletion is feasible.The Df and p values met the criteria.The error values of the potential and observable variables of the model were both positive and reached 0.05, and the standard deviation of the variance was relatively small, indicating no model definition error and no model violation of the recognition rules.The corrected standardized parameter estimation path model is shown in Figure 8.The other values of the test met the standard (the model adaptation table is shown in Table 6); therefore, the model has good fit and is parsimonious.

Results
(1) "Identification with a harmonious culture" is positively affected by "the proportion of public space", "forms of mutual assistance", and "use pattern of public spaces", but according to the factor loading, the size of the impact differs."Identification with a harmonious culture" is more positively affected by the first two observable variables than the third one, and it is more positively affected by the first one than the second one.In other words, the smaller the proportion of public space, the less mutual assistance and the less identification the residents have with the harmonious culture of courtyards in the Xisi area of Beijing.The forms of mutual assistance in the neighborhood are sharing food, helping care for the elderly and children, helping to look after the poor, and borrowing things from each other, etc.The public spaces have many uses, and residents can be found drinking tea and chatting, playing chess, airing out clothing, storing bikes, and stacking sundry items there, as well as using the space as a corridor.
(2) Strengthening people's identification with residential culture requires controlling the population of a compound within a reasonable range."Identification with a harmonious culture" is negatively affected by "living conditions of the courtyard" and "living conditions of one's own house" (thus, the opposite of H2 and H3 is true), and this variable is not positively affected by the organization in the courtyard."Living conditions of the courtyard" is affected by the number of strangers, the number of households and the number of people in the courtyard."Living conditions of one's own house" is affected by property rights, the number of rooms and the area of one's own house.According to the path coefficients among the latent variables and factor loading between the latent and observable variables, "identification with a harmonious culture" is primarily affected by the number of people in the courtyard, the number of households, and the number of strangers.It is secondarily affected by the area of one's own house, the number of rooms and property rights.The variables are ranked according to the size of their impact on a harmonious cultural identity.On the whole, "identification with a harmonious culture" is mainly influenced by the first three factors.Therefore, the greater the number of people in the courtyard, the number of households, and the number of strangers, the less identification the residents have with harmonious courtyard culture.Thus, greater population density in courtyards affects residents' identification with residential culture.Strengthening people's identification with residential requires controlling the population of a compound within a reasonable range.

Conclusions
A flowchart of the logic of the paper is presented in Figure 9.We draw two main conclusions from our case study.Thus, greater population density in courtyards affects residents' identification with residential culture.Strengthening people's identification with residential culture requires controlling the population of a compound within a reasonable range.

Conclusions
A flowchart of the logic of the paper is presented in Figure 9.We draw two main conclusions from our case study.First, the small proportion of public space is the main factor affecting residents' identification with the harmonious residential culture of the case area.When the public space is small, it cannot be used for public exchanges and emotional connections, to exchange material and information and experience nature, or to carry on leisure activities, and courtyard decoration must be limited.Therefore, the proportion of public space in courtyards should be increased to strengthen residents' identification with the harmonious culture of the quadrangle courtyard.
Second, the high population density of the courtyards is another main factor affecting residents' identification with the harmonious residential culture of the case area.The population density of quadrangle courtyards in the case area should be reasonably reduced.With decreased density, residents can actively carry out mutual aid activities, thereby engaging in social interaction.For example, they can care for the old and the young, ensure courtyard safety, and engage in other activities that promote the creation of a comfortable and safe space and strengthen residents' identification with a harmonious courtyard culture.

Discussion
Changes in the living conditions, layout, size, architectural form, decoration, and other spatial aspects of the courtyards led to changes in the traditional culture of the courtyards, preventing them from reflecting the original residential culture and thereby leading to a decline in cultural identity.Therefore, it is necessary to maintain the original architecture and living conditions in these spaces in order to preserve and pass on the original residential culture.Abu-Rabia-Queder and Karplus adopted a geographic perspective and showed that Arab-Bedouin culture has experienced profound spatial changes as a result of forced displacement and state-induced processes of resettlement and urbanization.This has eroded the range of cultural roles held by Bedouin women and has led to gradual changes in their cultural identity [54].In order to maintain the original architecture and living conditions, the proportion of public space in the courtyards should be increased, the population density should be reduced, and non-local residents should be encouraged to move.However, if these First, the small proportion of public space is the main factor affecting residents' identification with the harmonious residential culture of the case area.When the public space is small, it cannot be used for public exchanges and emotional connections, to exchange material and information and experience nature, or to carry on leisure activities, and courtyard decoration must be limited.Therefore, the proportion of public space in courtyards should be increased to strengthen residents' identification with the harmonious culture of the quadrangle courtyard.
Second, the high population density of the courtyards is another main factor affecting residents' identification with the harmonious residential culture of the case area.The population density of quadrangle courtyards in the case area should be reasonably reduced.With decreased density, residents can actively carry out mutual aid activities, thereby engaging in social interaction.For example, they can care for the old and the young, ensure courtyard safety, and engage in other activities that promote the creation of a comfortable and safe space and strengthen residents' identification with a harmonious courtyard culture.

Discussion
Changes in the living conditions, layout, size, architectural form, decoration, and other spatial aspects of the courtyards led to changes in the traditional culture of the courtyards, preventing them from reflecting the original residential culture and thereby leading to a decline in cultural identity.Therefore, it is necessary to maintain the original architecture and living conditions in these spaces in order to preserve and pass on the original residential culture.Abu-Rabia-Queder and Karplus adopted a geographic perspective and showed that Arab-Bedouin culture has experienced profound spatial changes as a result of forced displacement and state-induced processes of resettlement and urbanization.This has eroded the range of cultural roles held by Bedouin women and has led to gradual changes in their cultural identity [54].In order to maintain the original architecture and living conditions, the proportion of public space in the courtyards should be the population density should be reduced, and non-local residents should be encouraged to move.However, if these out-of-towners moved out of the courtyards, the city's public space would be gradually homogenized [55].As Tolerance and Jacobs asserted, it is possible and normal for the streets of great cities to allow strangers to dwell in peace together on civilized but essentially dignified and reserved terms.According to Wessel, under homogenization, there would be little or no intergroup contact in space, and people would easily fall prey to prejudice [56].Thus, how many locals and how many out-of-towners should a courtyard have among its residents?Can the cultural diversity of the courtyard be preserved and the conditions that reflect the original residential culture simultaneously maintained?Moreover, would social justice and greater equality be compromised if the out-of-towners were encouraged to move out of the courtyards in an effort to preserve traditional residential culture?These are issues that need to be discussed in the future.out-of-towners moved out of the courtyards, the city's public space would be gradually homogenized [55].As Tolerance and Jacobs asserted, it is possible and normal for the streets of great cities to allow strangers to dwell in peace together on civilized but essentially dignified and reserved terms.According to Wessel, under homogenization, there would be little or no intergroup contact in space, and people would easily fall prey to prejudice [56].Thus, how many locals and how many out-oftowners should a courtyard have among its residents?Can the cultural diversity of the courtyard be preserved and the conditions that reflect the original residential culture simultaneously maintained?Moreover, would social justice and greater equality be compromised if the out-of-towners were encouraged to move out of the courtyards in an effort to preserve traditional residential culture?These are issues that need to be discussed in the future.

Figure 1 .
Figure 1.The relative location of the Eight Lanes in North Xisi in the old city of Beijing.

Figure 1 .
Figure 1.The relative location of the Eight Lanes in North Xisi in the old city of Beijing.

Figure 2 .
Figure 2. The range and location of The Eight Lanes in North Xisi in the old city of Beijing.

Figure 2 .
Figure 2. The range and location of The Eight Lanes in North Xisi in the old city of Beijing.

Figure 3 .
Figure 3. Representational forms in courtyards in the Xisi area.

Figure 4 .
Figure 4. Courtyards in the Xisi area as they appeared in the past [19].Figure 4. Courtyards in the Xisi area as they appeared in the past [19].

Figure 4 .
Figure 4. Courtyards in the Xisi area as they appeared in the past [19].Figure 4. Courtyards in the Xisi area as they appeared in the past [19].

6 of 16 16 Figure 5 .
Figure 5. Courtyards in the Xisi area as they appear today.

Figure 5 .
Figure 5. Courtyards in the Xisi area as they appear today.
's own house S1 Area of one's own house S2 Number of rooms S3 Property rights S4 Length of residence Organization in the courtyard O1 Support for conflict resolution O2 Ability to cope with unanticipated problems O3 Approach to conflict resolution Identification with a harmonious culture M1 Use pattern of public spaces M2 Forms of mutual assistance M3 Proportion of public space M4 Use of public spaces

Figure 6 .
Figure 6.Path model of the latent variables.

Figure 6 .
Figure 6.Path model of the latent variables.

Figure 7 .
Figure 7. Path modifications and model correction.

Figure 8 .
Figure 8.The corrected standardized parameter estimation path model (e1……e11 are the measurement errors which were generated when the observed variables estimated for latent variables.Values above arrows are the factor loading.It refers to the load of a variable on a common factor, which is also the correlation coefficient between the variable and the common factor).

Figure 7 .
Figure 7. Path modifications and model correction.

Figure 7 .
Figure 7. Path modifications and model correction.

Figure 8 .
Figure 8.The corrected standardized parameter estimation path model (e1……e11 are the measurement errors which were generated when the observed variables estimated for latent variables.Values above arrows are the factor loading.It refers to the load of a variable on a common factor, which is also the correlation coefficient between the variable and the common factor).

Figure 8 .
Figure 8.The corrected standardized parameter estimation path model (e1 . . . . . .e11 are the measurement errors which were generated when the observed variables estimated for latent variables.Values above arrows are the factor loading.It refers to the load of a variable on a common factor, which is also the correlation coefficient between the variable and the common factor).

Figure 9 .
Figure 9.A logical flowchart of the study.

Figure 9 .
Figure 9.A logical flowchart of the study.

Table 1 .
Latent and observable variables.

Table 2 .
Characteristics of the survey conducted in the Eight Lanes in North

Table 2 .
Characteristics of the survey conducted in the Eight Lanes in North Xisi.

Table 4 .
KMO and Bartlett's Test a .
a Based on correlations.

Table 5 .
The reliability and validity analysis results.

Table 6 .
The model's degree of fit.