کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4376025 1617475 2014 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Evaluation of matrix algebra methods for calculating transformities from ecological and economic network data
ترجمه فارسی عنوان
ارزیابی روش های جبر ماتریس برای محاسبه تغییرات از داده های شبکه های زیست محیطی و اقتصادی
کلمات کلیدی
تغییر شکل روش جبر ماتریس، ایمان، روش شناسی، شبکه های زیست محیطی و اقتصادی، روش بازتابی
موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک بوم شناسی، تکامل، رفتار و سامانه شناسی
چکیده انگلیسی


• Review of matrix algebra methods for calculating transformities in networks.
• Methodological problems associated with these methods are discussed.
• Recommendations are made concerning the practical application of these methods.
• Reflexive method is introduced as a new method for calculating transformities.

This paper describes and characterises matrix algebra methods for calculating transformities from ecological and economic network data. Particular attention is given to those characteristics of complicated energy-flow and mass-flow networks that lead to the following methodological problems: joint production (co-products), non-square matrices (unequal number of processes and quantities), matrix singularity, problematic occurrence of negative transformities in the solution vector, and unequal emergy efficiencies which frequently occur in non-square matrices. Each of these problems is discussed and the means of resolving these problems are consequently presented. In addressing these problems, besides covering the use of the previously reported matrix inversion, regression, eigenvalue–eigenvector and singular value decomposition methods; a new method – the reflexive method – is introduced.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Ecological Modelling - Volume 271, 10 January 2014, Pages 72–82
نویسندگان
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