A semigroup approach to the strong ergodic theorem of the multistate stable population process

In this paper we first formulate the dynamics of multistate stable population processes as a partial differential equation. Next, we rewrite this equation as an abstract differential equation in a Banach space, and solve it by using the theory of strongly continuous semigroups of bounded linear operators. Subsequently, we investigate the asymptotic behavior of this semigroup to show the strong ergodic theorem which states that there exists a stable distribution independent of the initial distribution. Finally, we introduce the dual problem in order to obtain a logical definition for the reproductive value and we discuss its applications.     

A Cross‐Cultural Examination of the Disjuncture Between Aspirations and Expectations/Perceived Outcomes: Strain and Academic Deviance in the United States and Japan

Using comparable self‐reported survey data collected among college students in the United States (n = 502) and Japan (n = 441), this study examines a paradox of higher academic deviance among otherwise more conforming Japanese youth while revisiting the debate concerning the disjuncture between aspirations and expectations/perceived outcomes in Agnew's general strain theory (GST). Confirming the paradox, our results indicate that Japanese students are significantly more deviant academically than American students. However, contrary to the expectation of GST, but in support of past empirical studies, the higher academic deviance among the Japanese, as compared to Americans, is explained by their lower aspirations, irrespective of the levels of expectations/perceived outcomes     

Correlating Post-disaster Support Network Density with Reciprocal Support Relation Satisfaction: An Elderly Cohort Within One Year of the 2011 Japan Disasters

While there has been much empirical investigation into how social support networks improve mental health in post-disaster communities, network density—the extent members within a network are acquainted—remains under-researched. This study examines correlations between support network density and support reciprocity satisfaction in an elderly sample (N = 221), and the influence on post-disaster depression and trauma symptomology in a fishing community south of the Fukushima nuclear plant within 1 year of the March 11, 2011 Japan earthquake. The Brief Inventory of Social Support Exchange Network (BISSEN) taps support network density, support source by relational category, tangible and emotional type, and providing or receiving direction of social support. Density measurement convergent validity was established from questionnaire responses. After confirming network density construct and criteria validity, and extracting components reciprocal support relationship satisfaction, correlation between these two variables was moderate at r = 0.34. However, reciprocity satisfaction moderately explained mental health variance, but results were not significant for density nor interaction between predictors. These results question the assumption that support network density and support reciprocity can be validly incorporated into a construct of “social capital” necessarily promoting mental health.     

A semigroup approach to the strong ergodic theorem of the multistate stable population process

"In this paper we first formulate the dynamics of multistate stable population processes as a partial differential equation. Next, we rewrite this equation as an abstract differential equation in a Banach space, and solve it by using the theory of strongly continuous semigroups of bounded linear operators. Subsequently, we investigate the asymptotic behavior of this semigroup to show the strong ergodic theorem which states that there exists a stable distribution independent of the initial distribution. Finally, we introduce the dual problem in order to obtain a logical definition for the reproductive value and we discuss its applications." (SUMMARY IN FRE)     

Asymptotic properties of the inhomogeneous Lotka‐Von Foerster system

In this paper, we investigate an extension of the multistate stable population model, which makes allowances for migration. The model is formulated as an inhomogeneous system of first order partial differential equations with integral boundary conditions. First, we construct its classical solution. Next, we reformulate the system as an abstract inhomogeneous Cauchy problem on a Banach space, and give its mild solution by using the population semigroup. Our main purpose is to investigate the asymptotic behavior of the mild solution.     

Asymptotic properties of the inhomogeneous Lotka-Von Foerster system

"In this paper, we investigate an extension of the multistate stable population model, which makes allowances for migration. The model is formulated as an inhomogeneous system of first order partial differential equations with integral boundary conditions. First, we construct its classical solution. Next, we reformulate the system as an abstract inhomogeneous Cauchy problem on a Banach space, and give its mild solution by using the population semigroup. Our main purpose is to investigate the asymptotic behavior of the mild solution." (SUMMARY IN FRE)     

Increasing Poverty in Japan: Social Policy and Public Assistance Program

Until quite recently, the problem of poverty was largely “invisible” in Japan, since the poverty rate was relatively low and issues surrounding poverty received little attention. However, the recent financial and economic crisis caused such an increase in the poverty rate that it could no longer be ignored. When the government announced a poverty rate for the first time in 2009 (15.7% for the year 2007), the nation was shocked. Poverty is now widely discussed and “visible” in Japan, and Japanese policy makers have been forced to formulate and implement strategies to help the poor. The contribution of changing international and national economic and social conditions to increased poverty, including population changes in Japan, is also noted. This paper aims to provide an overview of the poverty situation and the nature of social policy that addresses poverty. It describes in particular the national public assistance program, which is a major public income‐support program and is considered as the ‘last safety net’ available for the poor in Japan. In conclusion, the paper explores the key problems faced by the program and discusses the challenges associated with tackling a dramatic increase in poverty.     

Persistent age distributions for an age‐structured two‐sex population model*

In this paper we formulate an age‐structured two‐sex population model which takes into account a monogamous marriage rule and the duration of marriage. We are mainly concerned with the existence of exponential solutions with a persistent age distribution. First we provide a semigroup method to deal with the time‐evolution problem of our two‐sex population model. Next, by constructing a fixed point mapping, we prove the existence of exponential solutions under homogeneity conditions.     

Problems Relating to Declining Response Rates to Social Survey Research in Japan: Trends After 2000

Abstract: Sociologists in Japan recognize that the circumstances under which social survey research is conducted have been deteriorating and have become critical since 2000. Social survey research is understood as a large-scale survey that mainly draws samples by a random sampling method, using a questionnaire as a measurement tool. The crises of social survey research are summarized as following: (1) the increasing difficulty of conducting accurate sampling and (2) the decline in response rates to drawn samples (planned samples). This paper focuses on the decline in response rates to social survyes by examining recent trends in relation to social surveys conducted by the Japanese government and local government (prefectures). In summary, there has been a landslidedecline of the response rate between 2005 and 2006 in surveys conducted by Japanese government. This decline was thought to mainly come from the declining of response rates among the elderly and women, groups that had previously had high response rates. This seems to be the result of the growing level of the crime involving the abuse of the personal information. However, there did not appear to be a serious decline in the response rate for surveys conducted by local governments. Given that it is not easy to restore response rates, it is important to develop research methods and techniques to cope with the decline. Further, informing respondents of the purpose of the research and its benefit to may help raise response rates.     

Gender,Social Bond,and Academic Cheating in Japan*

There is evidence that females are less likely to cheat than males on college campuses. A frequently offered but still untested explanation is that females, with a stronger sense of responsibility for the maintenance of social relationships, tend to develop a stronger bond to a conventional society—a key explanatory concept in Hirschi’s (1969) social control theory. With academic cheating as the dependent variable, we test the hypotheses that the four elements of social bond are the intervening variables linking gender to such dishonesty among Japanese students who, due to their stronger orientation toward masculinity on Hofstede’s (1980) scale of gender role separation, are subject to more gender distinct socialization, leading to greater gender differences in the strength of social bond than those previously reported in the United States. The analysis provides rather limited support for the theory, most of which is due to the stronger belief in the legitimacy of societal rules among the females.