- 期刊
坡地住宅社區開發之方格幾何多目標模式
Novel Grid-geometric Multi-objective Model for Residential Development on Hillsides
摘要
對於山地多平地少且地狹人稠的國度而言，爲了擁有更多的居住空間，坡地建築一直是難以避免的開發活動。坡地開發(hillside-land development)通常係透過將基地劃分爲方格網(gridded networks)來進行坡度分析。觀念上，不同的坡度(gradient/slope)計算方法搭配上不同的方格網，可以產生許多不同的坡地開發方案。理論上，前述這些方案中應該存在最大與最小可開發基地總面積的方案。如何有效地求得此二個方案，則是值得深入去探討。爲此，本研究應用多目標規劃(multiobjective programming)技術，納入可開發基地總面積及可建築樓地板總面積二個目標，以建立坡地住宅社區開發之方格幾何多目標(grid-geometric multiobjective model for residential development, G^2M^2RD)模式。模式的建構係藉由將基地劃分爲方格網的方式，將前述二個目標轉化爲0-1整數規劃問題，並以實務法規所規範的開發條件，轉換成模式中的限制式。其次，藉由變動方格大小、方格座標原點、及座標軸旋轉角度來建立方格幾何技術(grid-geometric technique, G^2T)法，以建立方格網產生的數學模式。最後，結合多目標問題求解方法及G^2T方法來求解坡地住宅社區開發所關注的最佳可開發基地總面積與區位問題。應用1:1000實測等高線圖實驗測試結果顯示，應用本研究所提出的G^2T法可以精確地求得G^2M^2RD模式的最佳解，包含單一目標最大與最小可開發基地總面積、單一目標最大與最小可建築樓地板總面積、多目標最佳折衷解(best compromise solution)、以及開發區位。由於G^2M^2RD模式具備量化與可重複驗證的特性，對坡地開發實務所涉及的規劃與審議作業具有高度的應用價值。若審議機關希望降低坡地開發致災的風險，確保更多的公共利益，則可以採用G^2M^2RD模式的最小可開發基地總面積，或是最小多目標方案解來做爲開發的依據。
並列摘要
Preventing hillside development in countries with limited available land and high population density is difficult. The conventional method for hillside development is to partition sites into grid networks for gradient analysis. Different development alternatives can be created by fusing various grid networks and via gradient calculation methods. Among these development alternatives, solutions with maximum or minimum benefit have garnered considerable attention from the development and government sectors. How to obtain the optimal solution is a critical issue. This work applies a novel decision model, the grid-geometric multi-objective model for residential development (G^2M^2RD), for residential development on hillsides to assist in identifying optimal solutions. First, based on the grid networks, two objectives, total area of developed sites and total floor area of buildings, are considered in establishing the model. To formulate the model using multi-objective programming (MOP), two objectives are converted into a 0-1 integer programming problem and constraints are derived from regulations for hillside development. Second, to generate widely varying grid networks by altering factors, including origin shift, axis rotation, and grid size, a novel grid-geometric technique (G^2T) is applied. Finally, a two-stage approach that integrates G^2T and MOP techniques is applied to identify the optimal solutions of G^2M^2RD model. Experimental results for a 1:1000 scale contour map indicate that the proposed G^2T can identify the optimal solutions of G^2M^2RD model including optimal solutions for a single objective, the best compromise solution for multiple objectives, and identification of developable land on hillsides for residential development. For those advocating environmental protection and public welfare, hillside development should adopt the G^2M^2RD alternative with the highest restricted development ratio. The proposed G^2M^2RD and G^2T can serve as analytical tools to identify the most suitable hillside development alternative.
參考文獻
延伸閱讀
- 王建方（2014）。坡向坡單元劃設及其應用於大規模崩塌潛勢預測研究〔碩士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU.2014.01276
- 王兆文、鄒佩蓉、沈哲緯、姜燁秀（2020）。以整體區域概念探討山坡地土地可利用限度分類之研究。中華水土保持學報，51(2)，76-83。https://doi.org/10.29417/JCSWC.202006_51(2).0004
- 王小璘（1994）。坡地遊憩活動區位適宜性景觀生態評估方法之研究。戶外遊憩研究，7(1)，49-79。https://doi.org/10.6130/JORS.1994.7(1)4
- 李楊弘（2012）。2D Orthogonal Grid Generation of an Irregular Region Using Method of fundamental solutions〔碩士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU.2012.01358
- Chen, Y. C. (2020). Modelling Overland Flow in Urban Area with the Effect of Building Structures and Geometry [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU202002089