Eating disorders (ED) usually develop during adolescence, and intervention to stop further weight loss is believed to improve outcome and long-term prognosis. Adolescents with ED who do not receive effective treatment risk poor outcome and even untimely death as adults. The first aim of this thesis was to investigate long-term mortality and causes of death in a series of female adults with chronic ED. The second aim was to study the one-year outcome of an unselected series of adolescent girls with anorexia nervosa (AN) and “other restrictive eating disorders” who had been treated within a specialist ED out-patient service focused on nutritional rehabilitation based on family therapy and without planned hospitalization. The third aim was to investigate the possible metabolic and hormonal side effects of olanzapine when used as an adjunct to facilitate nutritional rehabilitation. The fourth aim was to investigate the relationship between polyunsaturated fatty acid (PUFA) status and depression. In adult women with chronic ED, a very low body mass index and psychiatric co-morbidity confer a substantially increased risk of premature death. A treatment programme for adolescent ED with rapid access to assessment and prompt start of treatment with initial emphasis on nutritional rehabilitation proved efficient. The outcome was encouraging, as 43% of all patients with ED and 19% of those with AN did not have an ED at one-year follow-up. Of the remaining patients the vast majority had gained weight and regained menstruation, and were back in school on a full-time basis. Olanzapine was used to reduce anxiety, excessive exercise and rumination over weight and shape. Side effects were similar to those observed in normal-weight individuals, and do not preclude its use in underweight adolescents with ED. Low ω3 PUFA were associated with depression. The ω3 PUFA status improved during nutritional rehabilitation with ordinary foods and without supplementation. The investigations indicate that adolescent ED can be successfully treated in an out-/day-patient setting. An essential feature of the service is rapid handling and weight gain. Further weight loss can be avoided, and chronic disease hopefully prevented.

由於誤差與人口數成反比，資料多寡影響統計分析的穩定性及可靠性，因此常用於推估大區域人口的方法，往往無法直接套用至縣市及其以下層級，尤其當小區域內部地理、社會或經濟的異質性偏高時，人口推估將更為棘手。本文以兩個面向對臺灣小區域人口進行探討：其一、臺灣人口結構漸趨老化，勢必牽動政府政策與資源分配，且臺灣各縣市的人口老化速度不一，有必要針對各地特性發展適當的小區域人口推估方法；其二、因為壽命延長，全球皆面臨長壽風險(Longevity Risk)的挑戰，包括政府退休金制度規劃、壽險保費釐定等，由於臺灣各地死亡率變化不盡相同，發展小區域死亡率模型也是迫切課題。 小區域推估面臨的問題大致可歸納為四個方向：「資料品質」、「地區人數」、「資料年數」與「推估年數」，資料品質有賴資料庫與制度的建立，關於後三個問題，本文引進修勻(Smoothing, Graduation)等方法來提高小區域推估及小區域死亡模型的穩定性。人口推估方面結合修勻與區塊拔靴法(Block Bootstrap)，死亡率模型的建構則將修勻加入Lee-Carter與Age-Period-Cohort模型。由於小區域人口數較少，本文透過標準死亡比(Standard Mortality Ratio)及大區域與小區域間的連貫(Coherence)，將大區域的訊息加入小區域，降低因為地區人數較少引起的震盪。 小區域推估通常可用的資料時間較短，未來推估結果的震盪也較大，本文針對需要過去幾年資料，以及未來可推估年數等因素進行研究，希冀結果可提供臺灣各地方政府的推估參考。研究發現，參考大區域訊息有穩定推估的效果，修勻有助於降低推估誤差；另外，在小區域推估中，如有過去十五年資料可獲得較可靠的推估結果，而未來推估年數盡量不超過二十年，若地區人數過少則建議合併其他區域增加資料量後再行推估；先經過修勻而得出的死亡率模型，其效果和較為複雜的連貫模型修正相當。 / The population size plays a very important role in statistical estimation, and it is difficult to derive a reliable estimation for small areas. The estimation is even more difficult if the geographic and social attributes within the small areas vary widely. However, although the population aging and longevity risk are common phenomenon in the world, the problem is not the same for different countries. The aim of this study is to explore the population projection and mortality models for small areas, with the consideration of the small area’s distinguishing characteristic. The difficulties for small area population projection can be attributed into four directions: data quality, population size, number of base years, and projection horizon. The data quality is beyond the discussion of this study and the main focus shall be laid on the other three issues. The smoothing methods and coherent models will be applied to improve the stability and accuracy of small area estimation. In the study, the block bootstrap and the smoothing methods are combined to project the population to the small areas in Taiwan. Besides, the Lee-Cater and the age-period-cohort model are extended by the smoothing and coherent methods. We found that the smoothing methods can reduce the fluctuation of estimation and projection in general, and the improvement is especially noticeable for areas with smaller population sizes. To obtain a reliable population projection for small areas, we suggest using at least fifteen-year of historical data for projection and a projection horizon not more than twenty years. Also, for developing mortality models for small areas, we found that the smoothing methods have similar effects than those methods using more complicated models, such as the coherent models.

臺灣各縣市人口結構差異明顯，各縣市的人口出生、老化程度都不盡相同，而且在醫療分配及社會資源的使用也有很大的差異，因此各縣市應因應各地特性發展不同的小區域人口推估方法。由於樣本數與變異數成反比，人數較少者的死亡率（像是高齡人口）通常震盪較大，藉由適當的修勻(Graduation)調整，通常可降低年齡層間的死亡率震盪。然而，當縣市層級的人數太少時，只依賴修勻往往不足，多半會再參考人口較多的大母體之死亡率。例如：傳統的的貝氏修勻，使用Lee-Carter之類的參數死亡模型(Lee and Carter, 1992)，或是透過小區域及大母體的死亡率比值（王信忠, 2012）。然而過去研究較少全面性的比較這些方法，尤其是用於人數較少（如：十萬人）的地區。 本文以探討小區域生命表及死亡率推估為目標，著眼於人數不多於五萬人，尋求較為適合臺灣及類似國家的死亡率編算方法。由於修勻或貝氏等方法可視為增加樣本數，本文將擴大樣本分為四種方式：「同地同時」、「同地異時」、「異地同時」、「異地異時」，亦即將死亡資料的整併分成是否限定於小區域，以及是否可擴及其他年度。本文藉由電腦模擬測試，提供在各種限制之下，最合適小區域生命表建構的準則。其中，本文假設大、小區域的死亡率間存有三種情境的關係：定值、遞增、V字型，藉由調整大小區域死亡率比值間的幅度，探討大母體及小區域間的差異對實務使用的影響。研究發現，Partial SMR方法是一個值得參考的方法，當大小區域死亡率類型接近時的效果不錯，甚至可用於人數小於一萬人，但若死亡率類型差異過大，修勻方法會有限制，使用時需格外謹慎。 / The population structure, life expectancy (and age-specific mortality rates), and the speed of population aging vary a lot in different county of Taiwan. Each county has its own policy planning according to the needs. However, the county level population is usually not enough to provide stable estimates, such as of the life expectancies and mortality rates at the county level. Thus, certain graduation methods are applied to stabilize these estimates. However, only a few studies focus on comparing different types of graduation methods, including traditional graduation methods, Bayesian methods, and parametric mortality models. In this study, we separate the graduation methods into four types, according to if using only the small area data and if one year or multiple years of data are used, and explore which methods are appropriate to the areas with population fewer than 100,000. We use computer simulation to evaluate the graduation methods. We found that the Standard Mortality Ratio is promising when the mortality profiles of small and large populations are similar, and it is a feasible solution even for the areas with population fewer than 10,000. However, if the mortality profiles differ significantly, all graduation methods need to be applied with care.

壽命延長及生育率下降使得人口老化日益明顯，成為全球多數國家在21世紀必須面對的議題，由於各區域人口老化的速度不同，必須根據各地特性而調整因應對策。其中研究死亡率變化為面對人口老化的必備課題，尤其是高齡族群的死亡率，這也是近年高齡死亡模型廣受重視的主因之一。因為樣本數與變異數成反比，人口較少的區域或是高齡人口，死亡率的觀察值通常會有較大震盪，為了降低震盪多半會經過修勻，以取得較為穩定的死亡率推估值（王信忠等人，2012）。此外，Li and Lee (2005)的Coherent Lee-Carter模型也是另一種可行方法，透過參考大區域的資訊降低小區域的估計誤差。 本文探討結合上述修勻、死亡率模型的可能，希冀能綜合兩者的優點，提高小區域死亡率推估的精確性。因為Coherent Lee-Carter模型的想法類似增加小區域的人數（加入大區域的人數），本文探討人口數與Lee-Carter模型參數估計值的關係，再以修勻調整大小區域的差異，透過電腦模擬及資料分析，驗證本文提出方法是否有效。其中，仿造王信忠等人的作法，假設小區域與大區域死亡率間的七種可能情境，以平均絕對百分誤差(Mean Absolute Percentage Error)為衡量標準，找出調整修勻、相關模型的方法。另外，本文也以臺灣縣市為研究區域，驗證本文方法的估計結果。研究發現適當地使用修勻方法，可降低小區域的死亡率估計值，其效果優於Coherent Lee-Carter模型。