第五章 結論與建議
5.2 建議
5.2.1 HMM 土壤分層法
1. 關聯性長度 δ 為唯一一個沒有被我們納入 Gibbs sampling 估算的隨機場參 數,這是因為δ 並沒有共軛先驗的條件可以求出 Gibbs sampling 所需的後驗分布,
必須採用其他 MCMC 方法,然而我們測試過 Metropolis-Hastings 演算法、矩估計 法 (method of moments),表現皆不夠理想,仍未找到能將 δ 估得精準的方法,若 之後的研究者能找到適合估算δ 的方法,HMM 法將能考慮 δ 的改變,使土壤分層 更具靈敏度。
2. 孤兒層問題導因於目標分群之標準差太小,過渡區的資料點無法被分類到 該群,因此被歸類到標準差較大的分群,產生一個不合理的薄層,若後續研究能 判斷這些資料點應該被分類到哪些族群,並防止它們被歸類到其他不合理的族群,
同時又不破壞 HMM 的架構,將能阻止孤兒層問題的發生。實際上,小於關聯性 長度δ 的薄層其獨立性本身將受到質疑,這是因為隨機場理論中當兩點距離大於 δ 才能視為它們之間沒有關聯性,小於δ 的薄層將不符合我們「不同土壤種類之間 互相獨立」的這個假設,後續研究若能防止產生小於δ 的薄層,同時防止孤兒層 問題的發生,將能使 HMM 土壤分層結果更符合我們的假設,得到更清楚的分層。
3. 「分層分數問題」使得分層分數變得不是絕對可信,實際上我們還是沒有 得到一個最佳分層數的指標,若後續研究能防止預燒期問題在分群數高時產生多 種收斂結果的問題,使 HMM 後期抓取的層數皆相同,則分群分數在每一個群數
將會只有一種分數,讓使用者更容易找出最佳分群數。
5.2.2 多維土壤剖面預測
1. 目前 WTMM 四分法判定土層位置與土壤種類之後,GCMC 模型便會完全 根據輸入的土壤種類進行多維分層預測,然而 WTMM 四分法所判斷的土壤種類是 機率性的,某層土壤根據 SBTn 圖的劃分,可能會顯示其具有 60 %的機率砂土,
40 %的機率是粉土,因此 WTMM 四分法最終會判定其為砂土,結果 GCMC 會是 以 100 %相信它是砂土的條件下進行分析,忽略了 40 %機率是粉土的影響,造成 分析結果會與實際情況有所出入,因此往後多維土壤分層模型若是能同時考慮不 同土壤種類機率的影響的話,也就是以圖 4-14(c)為輸入資料,而不是圖 4-14(b),
或許將能更準確地預測土層的分布情形。
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