Our project, inspired by Adrian’s work, explores the interplay of temperature, humidity, and labor productivity in construction using partial derivatives, local linearization and gradient vector. Despite encountering challenges in data acquisition and visualization, our findings emphasize the influence of these climate factors on productivity, providing a foundational framework for future research in the construction sector.
Analyzing our project’s results shows valuable insights: At (-10,60), positivity indicates increased productivity with rising temperatures and decreasing humidity. Stable humidity with rising temperatures boosts productivity, while constant temperatures with increasing humidity reduce productivity. The equation of the tangent plane at (-10,60) provides a linear approximation of the surface, with coefficients 1.6 and -0.1 representing the rates of change concerning temperature (T) and humidity (H) at that point. Expect a baseline productivity of 60% at -10°C and 60% humidity. Beyond -10°C, each degree increase contributes positively (1.6% increase) to productivity, while each unit rise in humidity above 60% negatively impacts productivity by 0.1%.
