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Related Concept Videos

Linear Approximations01:23

Linear Approximations

For a differentiable function of two variables, linear approximation estimates values near a known point by replacing the curved surface with its tangent plane. Consider the function\begin{equation*}f(x,y)=x^2+3y^2\end{equation*}near the point (2, 1). The exact value at this point is f(2, 1) = 22 + 3(1)2 = 4 + 3 = 7.The linear approximation of f(x, y)) near (a, b) is\begin{equation*}L(x,y)=f(a,b)+f_x(a,b)(x-a)+f_y(a,b)(y-b)\end{equation*}First, compute the partial derivatives: fx(x, y) = 2x and...
Mechanistic Models: Compartment Models in Individual and Population Analysis01:23

Mechanistic Models: Compartment Models in Individual and Population Analysis

Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least squares (OLS)...

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Lab-Scale Model to Evaluate Odor and Gas Concentrations Emitted by Deep Bedded Pack Manure
06:52

Lab-Scale Model to Evaluate Odor and Gas Concentrations Emitted by Deep Bedded Pack Manure

Published on: July 19, 2018

A statistical model for landfill surface emissions.

Martin Héroux1, Christophe Guy, Denis Millette

  • 1Department of Civil, Geological, and Mining Engineering, Ecole Polytechnique, Montréal, Québec, Canada. mheroux@ville.montreal.qc.ca

Journal of the Air & Waste Management Association (1995)
|March 13, 2010
PubMed
Summary
This summary is machine-generated.

Landfill operators can now estimate methane emissions over time using a new method that accounts for weather. This approach uses air temperature, pressure, and soil moisture to predict landfill gas release accurately.

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Area of Science:

  • Environmental Science
  • Geochemistry
  • Atmospheric Science

Background:

  • Landfill operators need efficient methods to monitor methane surface emissions.
  • Existing methods for instantaneous measurements lack temporal interpolation capabilities.
  • Understanding factors influencing methane release is crucial for environmental management.

Purpose of the Study:

  • To develop a methodology for interpolating landfill methane emissions over time.
  • To assess the impact of meteorological factors on methane surface emissions.
  • To create a predictive model for landfill gas release.

Main Methods:

  • Field measurements of methane emissions at a landfill site using a full factorial design.
  • Statistical analysis of variance (ANOVA) to determine factor significance.
  • Development of a multifactor correlation model incorporating meteorological data.

Main Results:

  • Air temperature, pressure gradient, and soil moisture significantly affect methane emissions.
  • A significant interaction was found between temperature and soil moisture content.
  • A validated multifactor correlation was developed to estimate emissions.

Conclusions:

  • The developed methodology accurately estimates landfill methane emissions over time.
  • Meteorological conditions are key drivers of landfill gas release.
  • The multifactor correlation provides a valuable tool for landfill operators.