Model the maximum temperature in different climates
Pages: 20
,Mathematics IA
1. Introduction
This experiment aims to model the maximum temperature curve of Faro, Portugal, and
determine the most appropriate model by looking at data gathered by the Instituto Português do Mar
e da Atmosfera (IPMA), the Portuguese Institute of the Sea and Atmosphere, additionally the
maximum temperature of Moscow, Russia will also be modeled to analyze how the temperature
behavior varies within different climates.
Faro is the capital of the south region of Portugal called the Algarve. Algarve is also known
for its production of fruit, and vegetables, as well as the warm climate. According to the Köppen
climate classification, Faro is classified as a Csa, which is titled as Hot Mediterranean climate,
indicating hot and dry summers and moderate and rainy weather in the winter ("Köppen climate").
Taking into account the same classification system, Moscow’s climate is classified as Dfb also
known as a Humid continental climate, meaning that this region has four distinct seasons and large
seasonal temperature differences, with warm summers and cold winters ("Humid continental"). As
previously mentioned the agricultural industry is heavily present in the Algarve region, and since
I’m part of a family, which is involved within that industry it’s important to be aware of
temperature patterns, as organisms have optimum temperatures. Understanding the maximum
temperature throughout the year will allow farmers to plan the plantation of the crops according to
the needs of the organism, as well as plan for any potential actions that might be necessary if a
certain temperature is reached.
2. Modelling the maximum temperature in Faro, Portugal
1
, Mathematics IA
2.1 Raw and Processed data
Table 1: Raw data table showing the maximum temperature (±0.01°C) in Faro, Portugal over 4
years (2014-2017)
Maximum Temperature (+0.01°C)
Year Jan Feb Mar April May June July Aug Sept Oct Nov Dec
2014 17.11 16.34 18.85 21.77 25.3 25.77 26.85 29.5 25.37 25.35 20.11 16.92
2015 16.78 16.31 19.58 20.81 25.97 27.42 31.28 28.17 24.97 22.45 20.64 19.04
2016 17.46 17.24 17.76 19.84 23 28.42 30.57 31.01 28.05 23.65 19.59 17.76
2017 16.36 17.1 19.05 21.99 24.7 30.2 29.99 27.36 26.15 20.97 17.2
*Value missing for June of 2017
Graph 1 : Graph generated through Desmos showing the maximum temperature (±0.01°C) in
Faro, Portugal over 4 years (2014-2017), where y(1)= max. temperature of January of 2014
*For graphing purposes, January of 2014=1 in the x-axis scale
2.2 Reliability of data
2
Pages: 20
,Mathematics IA
1. Introduction
This experiment aims to model the maximum temperature curve of Faro, Portugal, and
determine the most appropriate model by looking at data gathered by the Instituto Português do Mar
e da Atmosfera (IPMA), the Portuguese Institute of the Sea and Atmosphere, additionally the
maximum temperature of Moscow, Russia will also be modeled to analyze how the temperature
behavior varies within different climates.
Faro is the capital of the south region of Portugal called the Algarve. Algarve is also known
for its production of fruit, and vegetables, as well as the warm climate. According to the Köppen
climate classification, Faro is classified as a Csa, which is titled as Hot Mediterranean climate,
indicating hot and dry summers and moderate and rainy weather in the winter ("Köppen climate").
Taking into account the same classification system, Moscow’s climate is classified as Dfb also
known as a Humid continental climate, meaning that this region has four distinct seasons and large
seasonal temperature differences, with warm summers and cold winters ("Humid continental"). As
previously mentioned the agricultural industry is heavily present in the Algarve region, and since
I’m part of a family, which is involved within that industry it’s important to be aware of
temperature patterns, as organisms have optimum temperatures. Understanding the maximum
temperature throughout the year will allow farmers to plan the plantation of the crops according to
the needs of the organism, as well as plan for any potential actions that might be necessary if a
certain temperature is reached.
2. Modelling the maximum temperature in Faro, Portugal
1
, Mathematics IA
2.1 Raw and Processed data
Table 1: Raw data table showing the maximum temperature (±0.01°C) in Faro, Portugal over 4
years (2014-2017)
Maximum Temperature (+0.01°C)
Year Jan Feb Mar April May June July Aug Sept Oct Nov Dec
2014 17.11 16.34 18.85 21.77 25.3 25.77 26.85 29.5 25.37 25.35 20.11 16.92
2015 16.78 16.31 19.58 20.81 25.97 27.42 31.28 28.17 24.97 22.45 20.64 19.04
2016 17.46 17.24 17.76 19.84 23 28.42 30.57 31.01 28.05 23.65 19.59 17.76
2017 16.36 17.1 19.05 21.99 24.7 30.2 29.99 27.36 26.15 20.97 17.2
*Value missing for June of 2017
Graph 1 : Graph generated through Desmos showing the maximum temperature (±0.01°C) in
Faro, Portugal over 4 years (2014-2017), where y(1)= max. temperature of January of 2014
*For graphing purposes, January of 2014=1 in the x-axis scale
2.2 Reliability of data
2
