Generation portfolio analysis for a carbon constrained and uncertain future

Many modern electricity systems are faced with the challenge of reducing green house gas emissions and dealing with increasing and more volatile fuel prices. Adequately dealing with these issues requires the evolution of suitable generation portfolios. However, doubts remain if the liberalized marketplace will deliver such portfolios. Analysis is undertaken to try and determine how the generation portfolio on the all-Ireland system may evolve by 2020. Resulting portfolios are examined with respect to the impact of carbon costs on the development of the portfolio and in particular wind energy. An assessment is made of the exposure of the portfolios to fuel price volatility and how portfolios may wish to diversify to avoid this. The analysis endeavors to gain insight into the future generation portfolios with the aim of informing how policy instruments may be tailored to address these issues

I. INTRODUCTION
odern electricity systems are faced with many challenges such as pressure to reduce greenhouse gas emissions and increasing fuel prices and fuel price volatility. In the past such issues could have been considered in central generation resource planning in an attempt to best meet the future needs of consumers, the economy and society [1]. With the recent onset of market liberalisation in many systems, there has been a corresponding de-emphasis on central planning and it remains unclear if market forces will deliver suitable generation portfolios to deal with such issues [2].
Wind generation is seen in many countries as an important means to reduce greenhouse gas emissions [3]. However, the characteristics of wind generation differ from that of conventional generation and doubts remain whether the features of wind generation are reflected properly in electricity markets that were designed to suit conventional generation.
As the proportion of gas fired generation increases in many systems concerns grow about the over reliance on gas, which can exhibit volatile price patterns. This is of even more concern in systems which import a large proportion of their This  fossil fuel needs and it has been suggested that in many liberalised markets there is little incentive for investors or utilities to diversify generation resources [4], [5].
These issues pose a serious challenge to policy makers in many systems including the all-Ireland system. Responding to these issues in the current environment maybe more challenging than it has been in the past, as it must, in general, be done in parallel with an electricity market. A combination of market design features, direct or indirect subsidies, or even new state-owned generation may be necessary to fully address these issues. However, initiating the correct regulatory interventions or policies cannot be done without analysis and insight into how a system evolves into the future.
This paper endeavors to gain insight into possible generation portfolios on the all-Ireland system in 2020 with an aim to informing how policy may be tailored to address the issues mentioned above. The all-Ireland system has an installed capacity of approximately 8000 MW and is currently in the process of introducing a new electricity market [6]. The all-Ireland system is currently struggling with its emissions targets [7] and has an increasing dependence on gas fired generation. Ireland also has one of the best wind resources in the world. This paper uses a methodology developed in [8] and [9] to determine least cost-generation portfolios for various scenarios in 2020. Issues of load duration, plant utilization and system capacity are dealt with in the analysis and the unique characteristics of wind generation are also accounted for. The resulting portfolios can be viewed as what may result from a liberalized market if no intervention takes place and are assessed with respect to the issues highlighted above.
Section II gives a brief outline of the generation options and the least-cost portfolio optimization algorithm. Analysis in Section III aims to gain insight into the impact of carbon costs, the role of wind generation, and its effects on the generation portfolios. Section IV focuses on analyzing portfolios with insufficient generation diversity and exposure to fuel price volatility and investigates possible responses. Conclusions are given in Section V.

II. GENERATION OPTIONS AND PORTFOLIO OPTIMIZATION
Least-cost portfolio analysis was undertaken for the all-Ireland system in 2020. It was assumed that, of the current generation capacity, only 800 MW of interconnection and 509 MW of hydro generation remain in 2020. It is assumed that there is a maximum of 3800 MW of usable wind generation resource, R. Doherty  enough to serve 22% of electricity demand. Further details of the least-cost portfolio analysis can be found in [8] and [9].

A. Generator Inputs
An extensive list of generator data was gathered for this work. Unit sizes, characteristics, efficiencies and costs were gathered from several sources [10]- [12]. Table I shows the generators, costs efficiencies and characteristics assumed achievable in the all-Ireland system by 2020.

B. Fuel Prices
Two fuel price scenarios are used in this work, a low fuel price scenario which is based on 2005 fuel prices and a high fuel price scenario based on projected 2020 fuel prices. See Table II. The fuel price scenarios were compiled from several sources [10]- [13]. The most notable feature in the high fuel price scenario, compared to the low is the relatively higher price of gas with respect to the other fuels.

C. Generation Adequacy
It is essential that each power system have enough capacity to serve the load to the extent defined by a system reliability criterion. Intermittent, non-dispatchable sources of generation, like wind generation, make a different contribution to the generation adequacy of a system than conventional dispatchable generation. Capacity credit studies [8], [9] were undertaken for each generation type to ensure each portfolio has sufficient capacity to meet a Loss of Load Expectation, LOLE, of 8 hours per year [14]. Fig. 1 shows the capacity credit of wind generation as a function of the installed wind capacity.

D. Least-Cost Portfolio Optimisation
A linear programming portfolio optimization algorithm [8], [9] is used to find the mix of generation technologies that, for a given set of inputs, results in the load being met at leastcost. Issues of plant utilization, load duration and generation adequacy are included in the analysis. However, temporal system aspects and unit start-up factors are not included. The algorithm optimizes the installed capacity of each type of generation in the portfolio and optimizes how they are utilized with respect to the load duration curve. The resulting portfolios are presented and analyzed in the following sections.

A. Least-Cost Generation Portfolio Results
Least-cost portfolios for the all-Ireland in 2020 system were examined for various fuel price and carbon cost scenarios to gain insight into desirable generation portfolios. Table III  and Table IV shows the installed capacities of the least-cost portfolios. The cost of carbon in the all-Ireland system may be based on the European traded cost of carbon and may also include an additional factor reflecting the penalties incurred by not meeting international emissions targets. The cost of carbon is included here in the form of a carbon tax. If regulatory bodies can ensure that the cost of carbon is properly reflected in the marketplace, it is reasonable to assume, given the inputs, that these are the sort of generation portfolios that the industry will be heading towards in the year 2020.  It can be seen that a CCGT based system is found to be least-cost once the carbon tax is 10 €/Ton of CO 2 and above for the low fuel price scenario and 30 €/Ton of CO 2 and above for the high duel price scenario. This is consistent with the industry in Ireland at present where most proposed generation projects are for the development of new CCGTs. It can also be seen that the optimal penetration of wind power increases as expected with increasing carbon tax. The increased gas price in the high fuel price scenario accelerates the role of wind as a means to reducing carbon emissions in a least-cost manner.

B. Emissions
Under the Kyoto Protocol, the Republic of Ireland must limit its increase in greenhouse gas emissions to 13% above 1990 levels in the period 2008-2012. In 2003, greenhouse gas emissions in Ireland were 25% above 1990 levels [7]. It can be seen from Tables III and IV that properly reflecting the cost of carbon in the marketplace is important to give a signal as to the appropriateness of coal based generation. This factor has a large impact on emissions. Given the long life span of generation plant, inappropriate coal plant operating during periods of high carbon cost may cause significant and unnecessary cost to the system and wider economy. Fig. 2 below shows the effect of the various carbon taxes on the emissions from the generation portfolios. This is expressed as a percentage of the scenarios with no carbon tax. Even in a gas based system, the presences of a carbon tax plays an important role with respect to emissions by signaling the appropriate penetration of wind generation. For the all-Ireland system in 2020 it was found that 3800 MW of wind generation could result in a reduction in CO 2 of 21% from a purely gas based system.

C. Role of Wind Generation in Portfolios
An examination of the role of wind generation in least-cost portfolios was undertaken for a large range of gas price and carbon tax scenarios. These two variables have a large impact on the generation portfolios and have a significant uncertainty associated with them. It can be seen from Fig. 3 that wind generation plays a significant role in least-cost portfolios for a large range of scenarios. It can also be seen that for a considerable number of scenarios the optimal wind capacity was found to be the maximum amount assumed available, 3800 MW. The Republic of Ireland currently aims to serve 13.2 % of electricity from renewable sources by 2010 [15]. The analysis here assumes that there are no regulatory or market factors obstructing the development of wind generation and that the cost of carbon is fully reflected in that marketplace. This approach would be correct macro-economic practice but is currently not the case in the all-Ireland system. The results show that under these conditions there would be a significant development of renewable energy for many of the future scenarios. This approach would help towards meeting renewable energy targets perhaps without the need for additional subsidy.

D. Effect of Increasing Wind Capacity
Analysis was carried out to examine the effect of increasing wind capacity on the mix of remaining generation in the leastcost portfolios. Fig. 4 shows the installed capacities of the generation in the least-cost portfolios with increasing wind generation for the low fuel price scenario with no carbon tax. It can be seen that the increasing wind capacity causes a decrease in the amount of base loaded plant and an increase in the amount of peaking capacity required in least cost portfolios. This is due to the change that wind generation causes to the net-load duration curve. Similar trends were found for portfolios which had CCGTs as the base loaded plant. This behavior is in contrast to the impact wind capacity has on an existing portfolios where it normally displaces the units with higher incremental costs. To ensure efficient  Coal PF  7060  6560  5229  0  0  0  Coal IGCC  0  0  0  0  0  0  Peat FB  0  0  0  0  0  0  OCGT  1732  1838  2469  2381  2374  2374  CCGT  0  0  576  5765  5700  5630  Wind 1 & 2  0  1200  1800  2800  3800  3800  Biomass 1,2 &3  0  0  0  0  0  70  Interconnection  800  800  800  800  800  800  Hydro  509  509  509  509  509  509  Total  10101  10907  11383  12255  13183  13183 Gas Price (€/GJ)

Low Fuel Prices
High Fuel Prices generation portfolios as wind capacity increases it becomes more important that the correct signals for reserve, mid-load plant and peaking plant are provided in the marketplace in the long-term. Fig. 4. Installed capacities of generation in least-cost portfolios against wind capacity for the low fuel price, no carbon tax scenario.

A. Background
The all-Ireland system relies heavily on imported fuel for electricity production. In 2003, in the Republic of Ireland, 88% of electricity produced was from imported fuels [16]. This means that Ireland may be exposed to price hikes and even possible shortages in supply as a result of economic and political changes in other countries. Assessing the detrimental effects that such events may have on the economy of the island is a difficult task and an important factor may be the level of exposure of competing economies to similar events.
The results given in Section III and analysis of the industry in Ireland at present suggest that it is very likely that gas fuelled plant will become the dominant means of electricity production in the future. Analysis carried out in [4] suggested that in 2001, in the Republic of Ireland, gas consumption accounted for 0.38% of GNP. By 2010 this figure may rise significantly. If gas were supplying 80% of electricity needs at the high fuel price scenario given in Section II, then gas consumption may account for up to 1.01% of GNP. A significant gas price shock at this stage would result in significant cost to the economy and a loss of competitiveness with respect to economies with lower gas price exposure. It is generally accepted that diversification of fuel resources will serve to reduce the exposure such risk.

B. Diversity
Correctly quantifying how much to diversify generation resources and determining what to diversify with is a challenging problem faced by policy makers. There is little agreement on the best approach on which to base generation diversification with the large amounts of unquantifiable uncertainty about the future proving conceptually challenging. However, two approaches have emerged as being possibly suitable.
In [17] the authors adopt the approach of mean variance portfolio theory to create generation portfolios, which can be analyzed on a risk return basis. This approach requires probabilistic quantification of the uncertainty of various factors. The analysis includes fuel price risk, and the authors derive a cross correlation matrix for the price of electricity generated from the various fuel types.
Sterling, [18] argues that mean-variance portfolio theory is not appropriate for dealing with exposure to fuel price fluctuations, as they have no pattern. The author states that diversification is a response to ignorance rather than quantifiable risk and suggests diversity should be quantified by using the Shannon-Wiener index. The author seeks diversity as a goal in itself rather than as a means of to reduce something specific.
Each approach has its strengths and weaknesses [5]. In this section both approaches are examined in the context of the all-Ireland system in 2020.

1) Mean-Variance Portfolio Theory
This approach requires the mean and standard deviation of the cost of electricity produced by the various fuel types. These were derived from historic fuel prices and it was found that electricity produced from gas and coal plant had a standard deviation of 8 €/MWh and 4.2 €/MWh respectively over the time period considered. The correlation coefficient was found to be 0.3. It is assumed that the standard deviation is zero for the cost of electricity produced from peat, biomass and wind generation. These values and assumptions are in line with the literature [2], [4], [17]. 2

) The Shannon-Wiener Index
The Shannon-Wiener index is mainly used in ecology as a measure of diversity. In [18] it is suggested that the index is also suitable for examining diversity in generation portfolios, as it does not require any "pretence to knowledge" over the future in terms of probabilistic measures. The Shannon-Wiener index H is defined as in (1) With just one generation type the index has the value of zero. With two equal generation elements it has a value of 0.69, this rises to 1.1 with 3 equal elements and rises above 2 with 7 equal elements.

C. All-Ireland Portfolio Illustration
Both approaches to assessing the diversity or exposure to risk of the generation portfolio were applied to the All-Ireland system in 2020 for the high fuel price scenario and the 30 €/Ton of CO 2 carbon tax. The least-cost portfolio optimization was run for a wide range of portfolio options in order to search the space. Fig 5 and Fig. 6 show the results of the analysis. They plot the cost of electricity of the generation from a particular portfolio versus the standard deviation of the electricity cost and the Shannon-Wiener index. The x-axis of Fig. 6 has been reversed for ease of comparison. Table V shows the make up of the portfolios shown in Fig. 5 and Fig. 6. Also shown is the standard deviation of the electricity cost and the Shannon-Wiener Index for the current all-Ireland

Coal PF OCGT
Interconnection Hydro generation portfolio and the efficient frontiers. An efficient frontier is the frontier at which the price cannot be reduced any further without accepting an increase in the volatility or a decrease in diversity. In reality desirable portfolios should be at or near the efficient frontiers.   What can be noticed from the application of both techniques to the all-Ireland system is that although the methods are conceptually different at a high level when they are applied to a scenario with limited options they results in similar outcomes. The main difference between the two techniques it that the mean-variance portfolio technique is less favorable towards gas-based generation as the inputs suggest that gas-based generation is more likely to be problematic.
In general a cost reflective market should result in electricity being served at least-cost. For this scenario this would correspond to portfolio B and would result in a relatively low level of fuel diversity and possible high levels of exposure to gas price spikes. If regulatory bodies do not ensure the cost of carbon is reflected in the marketplace then this may result in less wind generation causing less diversity and heavier reliance on gas, i.e. portfolio A. In both cases the generation portfolio is heavily reliant on generation from gas and considerably less diverse than the current all-Ireland generation portfolio.
It can be seen that portfolios that are more diverse than the current portfolio are achievable and may not necessarily come at a significant increase in cost relative to the least-cost portfolio. Portfolios C and D include some IGCC coal plant which decrease the reliance on gas, and which only slightly increase the cost of electricity. (IGCC plant were found to be more economic than PF plant due to the high carbon tax). Portfolio C, which lies on the efficiency frontier in both sets of analysis looks appropriate for this scenario. In this portfolio gas plant and coal each plant serve about 32% of the energy demand, while wind serves 22% and interconnection and hydro serve about 14%.

D. Ensuring Diversity in Generation Portfolios
Analysis in [4] and [5] and suggests that, in systems where gas generation is generally setting the market price, utilities are unlikely to invest in non-least-cost technologies for the sake of diversity. Given this and the current observable trends in the industry, it is difficult to envisage how the future all-Ireland generation portfolios will maintain adequate diversity in the liberalized marketplace unless there is some sort of targeted intervention. However, what form this intervention should take remains unclear. Direct state subsidies to specific industries have occurred in the past but may no longer be appropriate and may undermine the establishment of a fully liberalized marketplace. One approach may be to develop a market instrument that would provide an incentive to diversify, possibly based on one of the metrics used in the analysis here. Assessing how much diversity is appropriate or assessing the economic value of increased diversity is a challenging problem. Such an instrument would also have to be consistent and systematic as to provide the correct long-term signals for investment. The new market structure in the all-Ireland system includes a capacity payment mechanism [6], which could be thought of as catering for elements of "public good" or elements which may be insufficiently dealt with in the market. An option may be to deal with the portfolio diversity issue within this mechanism by somehow weighting payments with respect to diversity. V. CONCLUSIONS This paper presented high-level analysis of how the generation portfolio on the all-Ireland system may evolve by 2020. Portfolios were assessed in relation to the issues surrounding the reduction of CO 2 emissions and the exposure of fuel price shocks.
Analysis suggested that fully reflecting the cost of carbon in the marketplace was important in terms of signaling for the appropriate generation capacity in the long term. It is suggested that the integration of wind energy is the main route to increasing renewable energy and decreasing emissions in the all-Ireland system. Reflecting the cost of carbon in the marketplace is important for wind generation but it is essential other issues are also addressed. Markets, which have been designed to suit conventional generation, may place unnecessary obstacles to the development of wind generation and it is important that these obstacles are removed. Results here showed that wind generation also causes a change in the makeup of the remaining generation in the least-cost portfolio. With wind generation it becomes more important that the correct long-term signals for reserve, mid-load plant and peaking plant are provided in the marketplace.
Two methods of assessing generation diversity were applied here to the all-Ireland system in 2020. Despite being conceptually different approaches, the outcomes, in a system with limited options, were quite similar. It appears that direct intervention will be necessary in the all-Ireland system to ensure that the system does not become over dependant on gas fired generation. It may be desirable to design a market instrument to provide an incentive for diversity. However, valuing diversity and designing the appropriate mechanism will be a challenging task.
To some extent various market instruments, such as carbon taxes and diversity inducements, may provide participants with conflicting incentives [2]. This however, reflects the competing priorities of policy makers facing multiple objectives. Providing there is just one clear, well-designed instrument reflecting each objective then the marketplace should deliver the least-cost solution to the specified objectives.


Influential Factors in the Intergenerational Transmission of Religion The Case of Sōka Gakkai in Hokkaido

of religious beliefs from parents to children in Sōka Gakkai, a new religious movement. In the course of the study, multiple regression analysis was carried out using survey data from second-generation, active members of Sōka Gakkai (sg) living in Sapporo, Japan. The results revealed that the mother’s degree of religiosity, level of participation in sg youth groups, age, and gender all had a significant influence on the degree of religious devotion during the middle school years of respondents. In other words, the more enthusiastic the mother’s devotion to her religion, the more continuously they participate in youth groups, and the older they were (and women to a higher degree than men), the more likely the religion is to be transmitted to the second generation. Moreover, one interesting difference between men and women became clear: the quality of family relationships does not have a significant effect on men but does on women. For the reasons mentioned above, it can be concluded that gender elements must be taken into account when analyzing the intergenerational transmission of new religions.

T he aim of this paper is to clarify the mechanism behind the intergenerational transmission of religious beliefs in Sōka Gakkai 創価学会, a new religious movement. Studies on the relationship between religion and family in Japan have mainly focused on the ie 家 family system and ancestral rites and rituals. For instance, Reiyūkai 霊友会 and other religious groups derived from it place a high value on ancestral rites (Tsushima 1994, pp. 229-30). Komoto (2001, p. 197) points out that one of the characteristics of the view of ancestors in new religions is that it is not a "perception of ancestors as (mere) traditional family lines of ancestry, but is something that has infinite potential for both husband and wife. " Komoto also asserts that the act of performing the rites facilitates social relationships and makes followers more aware of how the family came to be (2001, p. 197). This can be seen as a transformation to a more individualistic view of the ancestral rites that place more value on the family and the stability of the household of the followers themselves.
Accordingly, compared with the mode of religious membership in which the religion is seen as the religion of the "family" (ie), the mode of religiosity of people who have sought salvation in new religions is based on a more individual choice. With this in mind, in order to clarify the mechanism behind intergenerational transmission in new religious groups, it is first necessary to consider the influences and their inter-relationships operating at the individual family level. In this paper, I focus on these influences and examine the factors that affect transmission in second-generation followers.
Sōka Gakkai is a new Buddhist movement in Japan that was founded in the early Showa Era (early twentieth century) but grew rapidly after World War II. Sōka Gakkai places less emphasis on ancestral rites than Reiyūkai and its derivatives. Although ancestral rites (kuyō 供養, ekō 回向) are performed as a part of the daily religious practice the organization recommends, 1 the primary emphasis of these rites is not so much on giving offerings to family ancestors as it is on gaining merit through their own good deeds through this practice (Sōka Gakkai Kyōgakubu 2002, pp. 250-61).
In order to clarify the mechanism of transmission of beliefs from parents to children, an analysis focusing on family relationships in the context of the 1. Sōka Gakkai recommends the daily practice of gongyō 勤行 and shōdai 唱題. Gongyō ("assiduous practice") means to recite parts of the Hōben 方便 ("Expedient Means," second) and Juryō 寿量 ("The Life Span of the Thus Come One," sixteenth) chapters of the Lotus Sutra, and shōdai means to recite the phrase Nam myōho renge kyō 南無妙法蓮華経 in front of the Gohonzon 御本尊 (object of worship). According to Sōka Gakkai, this is "the daily principle for achieving revolution in one's life" (Sōka Gakkai Kyōgakubu 2002, pp. 250, 253). individual, rather than the "family" (ie), is necessary. And, in religion and family, order is maintained by gender. In this paper, we will also examine the gender influence upon people who work within the Sōka Gakkai organization through exploring the influential factors for the succession of faith.
One major factor affecting transmission among second-generation followers of a religion is the influence of the parents themselves. Findings from previous studies suggest that fathers and mothers influence their children differently; the child's gender is significant as well (Sugiyama 2004, pp. 144-52).
A second influential factor is the degree of active participation on the part of the second-generation follower. O'Conner et al. (2002) conducted a longterm study of factors influencing religious activity among young middle-class adherents. They pointed out the significance of active participation in a variety of youth programs at churches.
A third influential factor is the influence of friends and acquaintances within the organization. According to a study of Sūkyō Mahikari 崇教真光 (a new religious movement), friendship within the organization, especially among men, can influence the strength of religious belief (Sugiyama 2004, pp. 144-52).
I have chosen to focus here, however, only on familial influences, and so I must leave investigations of the influence of friendship for future studies. Thus, the specific task of this paper is to examine the influence of the parents' religiosity and of the level of participation in religious activities on the part of the second-generation followers themselves. At the same time, I shall also perform a gender-specific analysis in order to determine how the effect of gender is reflected in transmission.

Hypotheses
The primary factor affecting intergenerational belief transmission is the influence of the parents. Hoge et al. (1978) pointed out that the religious dedication shown by parents in their actions, such as going to church, has a stronger influence on children's religious activities later in life than the frequency or zeal of direct religious educational activities aimed at children. In the present analysis, parents' attitudes toward religious education and toward religion are treated collectively as "mother's/father's religiosity" (See table 3). Simply put, the parents' religiosity has an influence on the children. An analysis of survey results concerning Sukyō Mahikari indicates similar results only for women followers (Sugiyama 1994, p. 61). These findings suggest that the mode of influence on the child might be different from father to mother. From the above, the following hypothesis can be formed: Hypothesis 1: The firmer the parents' belief in their religion (that is, their religiosity), the higher the probability of transmission is, particularly in the case of the mother. O'Conner et al. (2002) support the "social learning theory" propounded by Bandura (1977) and later applied by Hunsberger (1983) as the optimum theoretical framework with which to explain the extent of youth participation in religious activities. 2 Furthermore, from a study on "religious switching" and religious mobility (a study on people who have changed their religious affiliation), it has been found that participation in church activities during youth stabilizes the religious orientation of second-generation followers (Loveland 2003). From the findings above, we can establish the following hypothesis: Hypothesis 2: Continued religious activity by the person will have a direct influence on the transmission of religion.
Close family relationships are effective in helping to resolve conflicts of opinion between parent and child (Rueter and Conger, 1995). And if close family relationships serve to ease conflict, we can predict that they should also have a positive effect on intergenerational religious transmission (Kirkpatrick et al., 1990). As for apostasy, men and women differ in terms of the influential factors: when there is a good family relationship present, women tend to leave religions with less frequency (Sandomisly and Wilson, 1990).
Hypothesis 3: Good family relationships will raise the probability of religious transmission, particularly in women.
Although hypotheses one and two have been explored by research in Europe, and specifically concerning Sūkyō Mahikari through the research of Sugiyama, this paper examines whether this trend can be seen in Sōka Gakkai as well. Furthermore, whether family relationships shown in hypothesis three are positive factors in transmission of belief has not yet been established.

Data
A survey was conducted between November 2002 and January 2003. The survey group consisted of active Hokkaido Sōka Gakkai members living in the city of Sapporo, Japan.
The Sōka Gakkai is comprised of separate divisions. These are the Young Women's Division (comprised of unmarried women and women under 40 years old), the Young Men's Division (comprised of men up to about 40), the Women's Division (comprised of married women or women over 40), and the Men's Division (comprised of men over 40). There is also a Future Division, (mirai bu 未来部), to which survey respondents belonged. As of 2002, there were 822 Sōka Gakkai districts in Sapporo and approximately 120,000 members. Of this population, 25.9% were in the Men's Division, 46.6% were married women in the Women's Division, 16.2% were men 40 years of age or younger (Young Men's Division), and 9.3% were single women (Young Women's Division).
A random sampling was conducted from the list of all Sapporo districts and forty-one districts were selected as target areas. Thirty subjects from each district were chosen and categorized according to the distribution above: 8 men, 14 women, 5 young men, and 3 young women (according to Sōka Gakkai's classification system). I gave the questionnaires to the person in charge of each district, 3 and a total of 1,230 questionnaires were distributed. Since people in individual districts actually distributed the questionnaires, the sampling method was not completely random. The number of valid responses was 822, a response rate of 66.8%.
Looking at the responses by generation, the first generation accounted for 48.5% and the second 51.5%, nearly a fifty-fifty ratio (N= 811) (table 1).
Next, I shall summarize the data on the rate of religious transmission from the survey results. Of the respondents, 602 had one or more children (74.6%). I asked those people the number of children they had over 18 years of age and, of those children, the number of active Sōka Gakkai members. I asked the secondgeneration members the number of siblings they had, and of those siblings, the number of active Sōka Gakkai members. Table 2 shows the rate of transmission obtained from those numerical values.
A Sōka Gakkai official in Hokkaido commented as follows: "The results were higher than I had expected. This could be because the members whose parents might not have been actively involved in our activities were also included. If we strictly count the number of members who were active, these figures are probably accurate." Although I cannot extrapolate the results to determine a general rate of transmission, a transmission rate of 60% or higher can be expected among active Sōka Gakkai members in Sapporo.
In this study, I conducted an analysis using only the data of the 307 secondgeneration members who had joined Sōka Gakkai at the age of 15 or younger. 3. The number of people listed per district was approximately 146; the actual number of active members is estimated to be less than half. Mother's level of religiosity (LR Mother) Your mother used to do SG activities ardently Your mother used to make frequent references to her religious experiences Your mother used to do gongyō and shōdai often Your mother used to make frequent references to Honorary President Ikeda Your mother used to often tell you to go to SG meetings Your mother used to tell you to frequently do gongyō and shōdai Your mother used to tell you to often study the doctrine The reason for this is that I asked them to answer the survey based on the "time when you were a middle school student" regarding the "religiosity of your parents." During this period in life, one's senses of independence and initiative develop. This fact also influences religious activity. One Sōka Gakkai official stated, "there are many cases of second-generation members quitting activities when they are in middle school. " There are various types of social and cultural factors, however, as well as generational, gender, and individual differences when the parent-child relationship and the child's sense of independence are formed. Thus, the setting of age for grouping in this survey is tentative. Gender roles seen in the Sōka Gakkai organization do not deviate greatly from the general gender roles in Japan. In fact, there have been no female Vicechairpersons in Sōka Gakkai. The upper positions are occupied by men, and women cannot go beyond the position of Director of Women's Division (fujin buchō 婦人部長). Usui (1995, p. 172) points out that the organization structure of Sōka Gakkai "sticks to the conventional authority structure from the top to the bottom, placing men in the superior positions with many women diligent in the organization's activities under them. " Moreover, when a woman staff member of Sōka Gakkai marries, she is obliged to retire (according to interviews with members). This traditional practice accurately reflects the value system with regard to gender in Sōka Gakkai, or the view that when a woman marries, she should lead a domestic life (that is, become a homemaker). For this reason, there is a tendency within the organization to demand that a woman be enthusiastic in her faith so that she can protect her family. Conversely, men are expected to achieve things externally and socially. Ikeda Daisaku, Honorary President of Sōka Gakkai, once spoke of the necessity of college or university educations, but only for men ("Nijūisseiki no paionia" kankōkai, 1980, pp. 38-39). At present, however, now that awareness of gender equality has risen, his stance has changed (Ikeda 1996, p. 65). Since the 1990s, his tone has changed from "all men should go to college" to "if possible everyone should go to college, " and distinction by gender is not emphasized.
Nevertheless, Sōka Gakkai still performs ordinary religious activities with four organizational divisions divided by gender, and encourages members to actively take advantage of their respective division's features. These features are based on gender role division whereby it is considered that men chiefly work for wages while women take the responsibility for housework.
Strictly speaking, Sōka Gakkai has flexibly transformed to correspond to changes in the lifestyles of women (Usui 1995, pp. 171-72). In recent years, Ikeda has occasionally shown such changes in his actions, making remarks such as "the twenty-first century is the century for women" and instructing men followers to respect women. Even so, no substantial reforms in organizational structure, such as appointing women to the position of vice-chairman, have been made, and there is no indication that the organization will soon reject the existing overall organizational structure.

Analysis variables
Multiple regression analysis is a method in which multiple explanatory variables are fit into an equation with a response variable (dependant variable) to analyze how the variances in the former affect the latter. It can be used to find models for prediction or to determine the extent of influence (in terms of probability, or statistical significance) that explanatory variables have on a response variable.
In this paper, the response variable is "level of religiosity of respondent during middle school" (lr School), and for "predicting" the degree of religiosity, the explanatory variables are "mother's religiosity" (lr Mother), "father's religiosity" (lr Father), "level of participation in SG youth groups" (lyg), "quality of family relationships" (q Family), "age, " and "gender. " In simpler terms, the purpose of the present analysis is to determine if and to what extent the six factors above influence the religiosity of children. Factors with a significantly higher β value indicate a higher degree of influence. I used the "mother's (father's) religiosity" as an independent variable to measure the influence of the parents on intergenerational transmission (Hypothesis 1). Next, as a variable for examining continued involvement in Sōka Gakkai activities since one's childhood (Hypothesis 2), I determined the total number of Sōka Gakkai activities respondents participated in between the elementary-to high-school periods (indicated as "level of participation in SG youth groups"). As a variable representing the quality of family life (Hypothesis 3), I determined the "quality of family relationships" using the same method for quantification. I also examined the influence of age. Refer to table 3 for the details of each variable. Since the evaluation of religiosity during the middle-school years was a self-evaluation about the respondent's past, we cannot accurately determine the individual circumstances of that period. In a similar manner, parental religiosity, set as independent variables, also likely reflects to some degree the current evaluation of the person. In other words, this setting makes it difficult to regard the dependent and independent variables as separate. I have conducted this analysis with this in mind and wish to treat this analysis as a tentative reference for exploring the factors influencing the intergenerational transmission of religions.

Results of Multiple Regression Analysis and Discussion of Hypotheses
Tables 4.1 through 4.3 show the correlation coefficients between the dependent variable and individual independent variables. Table 5 shows the results of the analysis for both men and women combined as well as results by gender. As table 5 shows, "mother's religiosity," "level of participation in SG youth groups, " "age, " and "gender" proved to be significant predictor variables overall. In case of men, "mother's religiosity, " "father's religiosity," "level of participation in SG youth groups," and "age," and in case of women, "mother's religiosity, " "quality of family relationships, " "level of participation in SG youth groups, " and "age" each turned out to be a significant predictor variable. Higher degrees of parental religiosity, better family relationships, and higher levels of participation in youth groups led to higher degrees of religiosity in children during middle school years, but more so in women than in men.
Based on these results, I shall examine the three hypotheses mentioned above. The points of Hypothesis 1 were supported since the mother's religiosity was a significant predicator variable for all groups-the whole, the men, and the women. Also, since the maternal influence appeared more markedly than the paternal in the analysis, it became clear that the mother's influence is important. However, in the case of men, a strong degree of religiosity in the father also influenced the evaluation of the men's own religiosity, clarifying that men and women are different in the way this influence appears.
In terms of Hypothesis 2, the level of participation in religious youth groups, an independent variable used to verify this hypothesis, was a significant variable in the all of the analysis results. The analysis data that showed that the higher  the level of participation in religious youth groups was, the more continuously the person has participated from childhood in religious activities, providing support for this hypothesis.
In the case of women, variance in the quality of family relationship turned out to be significant at 5%, adding support to Hypothesis 3.

Conclusion and issues
It became clear that the correlation between the evaluation of the middle-school degree of religiosity and the evaluation of the mother's religiosity was strong, and continued participation in religious activities raised the level of religiosity. At the time of the survey, the middle-school evaluation of religiosity tended to be higher as the frequency of gongyō/shōdai recitation increased (.175), the educational credentials increased (.237), the person's position within Sōka Gakkai rose (.307), the age increased (.196), and the more the person believed that he or she has been enthusiastic about his or her activities (.197). 4 From the gender-specific multiple regression analysis, the following can be determined. First, the paternal attitude towards religion was a significant variable only in men. As for the correlation coefficient, both men and women showed a significant correlation; there was a strong connection between the religiosity of the men surveyed and that of their fathers. Second, for women only, the level of participation in SG youth groups was not a significant variable. This does not mean that the importance of continued religious activity for women was low. Rather, women had higher scores than men in the level of religiosity; this result was likely due to women tending to maintain level of religiosity continuously (see table 3). Third, family relationship quality had influence on the degree of religiosity in women only. In the multiple regression analysis, this turned out to be significant at a 5% level, and a significant correlation coefficient revealed a significant correlation at 1%.
The level of religiosity of female respondents during middle school (LRschool) is higher than that of men (the mean score for males is 18.9, whereas the mean score for females is 21.2, F value=9.04, p<.01). Also, the level of participation of females in Sōka Gakkai youth groups (LYG) is higher than that of males (the mean score for males is 2.51, whereas the mean score for females is 2.81, F value=3.73, p<.01). Furthermore, from the consequences of multiple regression analysis, the gender variable became an important prediction variable (males=1, females=0,β=-.146). From these findings, we can conclude that there is a trend for women to have a more continuous, higher level of religiosity than men. That there is a strong correlation between the attitude towards religion and quality of family relationships only in women may relate to Japanese society, in which women in particular have very strong ties to their family, as well as the notion of "gender" that the Sōka Gakkai organization presents to its followers. We can also predict that as the family relationship gets better, women find it more difficult to reject their parents' religion, one factor that that gives support to the idea that good family relationships will encourage a person to select the same religion. From the perspective of women, unless the family relationship is favorable, the importance of religion decreases. By contrast, we can speculate that men, who are encouraged to be more independent from their families and are required to achieve success on their own, tend to think less about the ideal mode of religious activity in relation to their family.
Although the purpose of this paper was to explore the mechanism of the transmission of religiosity from parent to child in Sōka Gakkai, a new religious movement, the present analysis clarified only which elements were influential in strengthening attitudes indicating the level of religious transmission. Concerning the important issue of gender in particular, I was not able to convincingly determine why better family relationships did not strongly influence religious transmission in men but did in women. Considering the results of the analysis, however, I was able to reconfirm the necessity of including gender elements when examining the mechanism behind transmission. In future studies I would like to conduct a more detailed analysis, including qualitative data such as interviews, in order to explore in more depth the reasons behind the differences between men and women. references