{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "<!--NAVIGATION-->\n", "< | [Main Contents](https://vectorbite.github.io/VBiTraining2/) | >" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Analyses of Time Series <span class=\"tocSkip\">" ] }, { "cell_type": "markdown", "metadata": { "toc": true }, "source": [ "<h1>Contents<span class=\"tocSkip\"></span></h1>\n", "<div class=\"toc\"><ul class=\"toc-item\"><li><span><a href=\"#Introduction\" data-toc-modified-id=\"Introduction-1\"><span class=\"toc-item-num\">1 </span>Introduction</a></span></li><li><span><a href=\"#Vector-Abundances\" data-toc-modified-id=\"Vector-Abundances-2\"><span class=\"toc-item-num\">2 </span>Vector Abundances</a></span><ul class=\"toc-item\"><li><span><a href=\"#Import-and-Map-Climate-Data\" data-toc-modified-id=\"Import-and-Map-Climate-Data-2.1\"><span class=\"toc-item-num\">2.1 </span>Import and Map Climate Data</a></span></li><li><span><a href=\"#Fitting-the-linear-models\" data-toc-modified-id=\"Fitting-the-linear-models-2.2\"><span class=\"toc-item-num\">2.2 </span>Fitting the linear models</a></span></li><li><span><a href=\"#Model-Comparisons\" data-toc-modified-id=\"Model-Comparisons-2.3\"><span class=\"toc-item-num\">2.3 </span>Model Comparisons</a></span></li></ul></li><li><span><a href=\"#Airline-passenger-data\" data-toc-modified-id=\"Airline-passenger-data-3\"><span class=\"toc-item-num\">3 </span>Airline passenger data</a></span><ul class=\"toc-item\"><li><span><a href=\"#Model-Comparison\" data-toc-modified-id=\"Model-Comparison-3.1\"><span class=\"toc-item-num\">3.1 </span>Model Comparison</a></span></li></ul></li><li><span><a href=\"#Practical\" data-toc-modified-id=\"Practical-4\"><span class=\"toc-item-num\">4 </span>Practical</a></span></li></ul></div>" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction\n", "\n", "This section is focused on teaching some techniques for analysis of time series of measures of interest such as abundances. This is an important tool for quantifying and understanding fluctuations in vector abundance and disease incidence over time. This section assumes that you have seen the [time series lecture](https://github.com/vectorbite/VBiTraining2/tree/master/lectures/TimeSeries/), where you how basic time series analyses are simply extensions to linear regression.\n", "\n", "Also, have a look at the [`VB_TS.R`](https://github.com/vectorbite/VBiTraining2/tree/master/code) script." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Vector Abundances" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the face of global climate change, vector borne diseases have the capacity to shift ranges and drastically alter emergence times. This can have profound public health implications. Therefore, it is essential that we monitor, and make attempts to forecast how changing climate could affect vectors. \n", "\n", "We will apply linear models to vector abundance data available in [VecDyn](http://www.vectorbyte.org). \n", "\n", "Let's start off by reading in some packages which we will use later on in the example. Let's first load packages for [data manipulation](https://nbviewer.jupyter.org/github/mhasoba/TheMulQuaBio/blob/master/notebooks/08-Data_R.ipynb). " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Loading required package: dplyr\n", "\n", "Attaching package: ‘dplyr’\n", "\n", "The following objects are masked from ‘package:stats’:\n", "\n", " filter, lag\n", "\n", "The following objects are masked from ‘package:base’:\n", "\n", " intersect, setdiff, setequal, union\n", "\n", "Loading required package: tidyr\n" ] } ], "source": [ "require(dplyr)\n", "require(tidyr)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You will get warnings becuase these backages have functions with the same name as the main (\"base\") R packges. \n", "\n", "Now let's read in some data. There are a couple of example datasets for you to explore - as well as a wealth of data you can download from the VecDyn database. They will all be in the same format, so the cleaning procedures, and the analytical processes will be the same for linear modelling. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# This is a dataset from Walton County, Florida for the species Culex erraticus\n", "\n", "Complete_data <- read.csv(\"../data/Culex_erraticus_walton.csv\")\n", "\n", "## Or you could use either of the following datasets for Culex nigripalpus\n", "\n", "# Complete_data <- read.csv(\"../data/Culex_nigripalpus_walton.csv\")\n", "# Complete_data <- read.csv(\"../data/Culex_nigripalpus_manatee.csv\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Great, now we have some data. It's important that we have a look at it's layout." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<table>\n", "<thead><tr><th scope=col>X</th><th scope=col>title</th><th scope=col>dataset_citation</th><th scope=col>publication_citation</th><th scope=col>description</th><th scope=col>url</th><th scope=col>contact_name</th><th scope=col>contact_affiliation</th><th scope=col>email</th><th scope=col>orcid</th><th scope=col>⋯</th><th scope=col>sample_sex</th><th scope=col>sample_stage</th><th scope=col>sample_location</th><th scope=col>sample_collection_area</th><th scope=col>sample_lat_dd</th><th scope=col>sample_long_dd</th><th scope=col>sample_environment</th><th scope=col>additional_location_info</th><th scope=col>additional_sample_info</th><th scope=col>sample_name</th></tr></thead>\n", "<tbody>\n", "\t<tr><td>1622290 </td><td>Mosquito surveillance in South Walton County, Florida, USA. 2015 </td><td>DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/ </td><td>NA </td><td>Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations.</td><td>NA </td><td>Peter J Brabant;Peter J Brabant III </td><td>NA </td><td>NA </td><td>NA </td><td>⋯ </td><td>female </td><td>adult </td><td>Walton County </td><td>NA </td><td>30.3813 </td><td>-86.3593 </td><td>NA </td><td>NA </td><td>NA </td><td>NA </td></tr>\n", "\t<tr><td>1622343 </td><td>Mosquito surveillance in South Walton County, Florida, USA. 2015 </td><td>DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/ </td><td>NA </td><td>Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations.</td><td>NA </td><td>Peter J Brabant;Peter J Brabant III </td><td>NA </td><td>NA </td><td>NA </td><td>⋯ </td><td>female </td><td>adult </td><td>Walton County </td><td>NA </td><td>30.3892 </td><td>-86.0890 </td><td>NA </td><td>NA </td><td>NA </td><td>NA </td></tr>\n", "\t<tr><td>1622380 </td><td>Mosquito surveillance in South Walton County, Florida, USA. 2015 </td><td>DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/ </td><td>NA </td><td>Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations.</td><td>NA </td><td>Peter J Brabant;Peter J Brabant III </td><td>NA </td><td>NA </td><td>NA </td><td>⋯ </td><td>female </td><td>adult </td><td>Walton County </td><td>NA </td><td>30.3469 </td><td>-86.0694 </td><td>NA </td><td>NA </td><td>NA </td><td>NA </td></tr>\n", "\t<tr><td>1622410 </td><td>Mosquito surveillance in South Walton County, Florida, USA. 2015 </td><td>DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/ </td><td>NA </td><td>Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations.</td><td>NA </td><td>Peter J Brabant;Peter J Brabant III </td><td>NA </td><td>NA </td><td>NA </td><td>⋯ </td><td>female </td><td>adult </td><td>Walton County </td><td>NA </td><td>30.3717 </td><td>-86.2655 </td><td>NA </td><td>NA </td><td>NA </td><td>NA </td></tr>\n", "\t<tr><td>1622440 </td><td>Mosquito surveillance in South Walton County, Florida, USA. 2015 </td><td>DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/ </td><td>NA </td><td>Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations.</td><td>NA </td><td>Peter J Brabant;Peter J Brabant III </td><td>NA </td><td>NA </td><td>NA </td><td>⋯ </td><td>female </td><td>adult </td><td>Walton County </td><td>NA </td><td>30.3650 </td><td>-86.2261 </td><td>NA </td><td>NA </td><td>NA </td><td>NA </td></tr>\n", "\t<tr><td>1622479 </td><td>Mosquito surveillance in South Walton County, Florida, USA. 2015 </td><td>DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/ </td><td>NA </td><td>Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations.</td><td>NA </td><td>Peter J Brabant;Peter J Brabant III </td><td>NA </td><td>NA </td><td>NA </td><td>⋯ </td><td>female </td><td>adult </td><td>Walton County </td><td>NA </td><td>30.3813 </td><td>-86.3593 </td><td>NA </td><td>NA </td><td>NA </td><td>NA </td></tr>\n", "</tbody>\n", "</table>\n" ], "text/latex": [ "\\begin{tabular}{r|llllllllllllllllllllllllllllllllllllllll}\n", " X & title & dataset\\_citation & publication\\_citation & description & url & contact\\_name & contact\\_affiliation & email & orcid & ⋯ & sample\\_sex & sample\\_stage & sample\\_location & sample\\_collection\\_area & sample\\_lat\\_dd & sample\\_long\\_dd & sample\\_environment & additional\\_location\\_info & additional\\_sample\\_info & sample\\_name\\\\\n", "\\hline\n", "\t 1622290 & Mosquito surveillance in South Walton County, Florida, USA. 2015 & DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/ & NA & Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations. & NA & Peter J Brabant;Peter J Brabant III & NA & NA & NA & ⋯ & female & adult & Walton County & NA & 30.3813 & -86.3593 & NA & NA & NA & NA \\\\\n", "\t 1622343 & Mosquito surveillance in South Walton County, Florida, USA. 2015 & DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/ & NA & Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations. & NA & Peter J Brabant;Peter J Brabant III & NA & NA & NA & ⋯ & female & adult & Walton County & NA & 30.3892 & -86.0890 & NA & NA & NA & NA \\\\\n", "\t 1622380 & Mosquito surveillance in South Walton County, Florida, USA. 2015 & DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/ & NA & Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations. & NA & Peter J Brabant;Peter J Brabant III & NA & NA & NA & ⋯ & female & adult & Walton County & NA & 30.3469 & -86.0694 & NA & NA & NA & NA \\\\\n", "\t 1622410 & Mosquito surveillance in South Walton County, Florida, USA. 2015 & DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/ & NA & Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations. & NA & Peter J Brabant;Peter J Brabant III & NA & NA & NA & ⋯ & female & adult & Walton County & NA & 30.3717 & -86.2655 & NA & NA & NA & NA \\\\\n", "\t 1622440 & Mosquito surveillance in South Walton County, Florida, USA. 2015 & DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/ & NA & Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations. & NA & Peter J Brabant;Peter J Brabant III & NA & NA & NA & ⋯ & female & adult & Walton County & NA & 30.3650 & -86.2261 & NA & NA & NA & NA \\\\\n", "\t 1622479 & Mosquito surveillance in South Walton County, Florida, USA. 2015 & DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/ & NA & Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations. & NA & Peter J Brabant;Peter J Brabant III & NA & NA & NA & ⋯ & female & adult & Walton County & NA & 30.3813 & -86.3593 & NA & NA & NA & NA \\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "X | title | dataset_citation | publication_citation | description | url | contact_name | contact_affiliation | email | orcid | ⋯ | sample_sex | sample_stage | sample_location | sample_collection_area | sample_lat_dd | sample_long_dd | sample_environment | additional_location_info | additional_sample_info | sample_name | \n", "|---|---|---|---|---|---|\n", "| 1622290 | Mosquito surveillance in South Walton County, Florida, USA. 2015 | DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/ | NA | Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations. | NA | Peter J Brabant;Peter J Brabant III | NA | NA | NA | ⋯ | female | adult | Walton County | NA | 30.3813 | -86.3593 | NA | NA | NA | NA | \n", "| 1622343 | Mosquito surveillance in South Walton County, Florida, USA. 2015 | DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/ | NA | Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations. | NA | Peter J Brabant;Peter J Brabant III | NA | NA | NA | ⋯ | female | adult | Walton County | NA | 30.3892 | -86.0890 | NA | NA | NA | NA | \n", "| 1622380 | Mosquito surveillance in South Walton County, Florida, USA. 2015 | DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/ | NA | Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations. | NA | Peter J Brabant;Peter J Brabant III | NA | NA | NA | ⋯ | female | adult | Walton County | NA | 30.3469 | -86.0694 | NA | NA | NA | NA | \n", "| 1622410 | Mosquito surveillance in South Walton County, Florida, USA. 2015 | DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/ | NA | Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations. | NA | Peter J Brabant;Peter J Brabant III | NA | NA | NA | ⋯ | female | adult | Walton County | NA | 30.3717 | -86.2655 | NA | NA | NA | NA | \n", "| 1622440 | Mosquito surveillance in South Walton County, Florida, USA. 2015 | DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/ | NA | Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations. | NA | Peter J Brabant;Peter J Brabant III | NA | NA | NA | ⋯ | female | adult | Walton County | NA | 30.3650 | -86.2261 | NA | NA | NA | NA | \n", "| 1622479 | Mosquito surveillance in South Walton County, Florida, USA. 2015 | DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/ | NA | Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations. | NA | Peter J Brabant;Peter J Brabant III | NA | NA | NA | ⋯ | female | adult | Walton County | NA | 30.3813 | -86.3593 | NA | NA | NA | NA | \n", "\n", "\n" ], "text/plain": [ " X title \n", "1 1622290 Mosquito surveillance in South Walton County, Florida, USA. 2015\n", "2 1622343 Mosquito surveillance in South Walton County, Florida, USA. 2015\n", "3 1622380 Mosquito surveillance in South Walton County, Florida, USA. 2015\n", "4 1622410 Mosquito surveillance in South Walton County, Florida, USA. 2015\n", "5 1622440 Mosquito surveillance in South Walton County, Florida, USA. 2015\n", "6 1622479 Mosquito surveillance in South Walton County, Florida, USA. 2015\n", " dataset_citation \n", "1 DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/\n", "2 DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/\n", "3 DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/\n", "4 DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/\n", "5 DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/\n", "6 DOI:10.5281/zenodo.1220173,https://southwaltonmosquitocontrol.org/\n", " publication_citation\n", "1 NA \n", "2 NA \n", "3 NA \n", "4 NA \n", "5 NA \n", "6 NA \n", " description \n", "1 Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations.\n", "2 Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations.\n", "3 Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations.\n", "4 Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations.\n", "5 Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations.\n", "6 Mosquito surveillance from the South Walton County Mosquito Control District Vector Surveillance program to survey mosquito populations.\n", " url contact_name contact_affiliation email orcid ⋯\n", "1 NA Peter J Brabant;Peter J Brabant III NA NA NA ⋯\n", "2 NA Peter J Brabant;Peter J Brabant III NA NA NA ⋯\n", "3 NA Peter J Brabant;Peter J Brabant III NA NA NA ⋯\n", "4 NA Peter J Brabant;Peter J Brabant III NA NA NA ⋯\n", "5 NA Peter J Brabant;Peter J Brabant III NA NA NA ⋯\n", "6 NA Peter J Brabant;Peter J Brabant III NA NA NA ⋯\n", " sample_sex sample_stage sample_location sample_collection_area sample_lat_dd\n", "1 female adult Walton County NA 30.3813 \n", "2 female adult Walton County NA 30.3892 \n", "3 female adult Walton County NA 30.3469 \n", "4 female adult Walton County NA 30.3717 \n", "5 female adult Walton County NA 30.3650 \n", "6 female adult Walton County NA 30.3813 \n", " sample_long_dd sample_environment additional_location_info\n", "1 -86.3593 NA NA \n", "2 -86.0890 NA NA \n", "3 -86.0694 NA NA \n", "4 -86.2655 NA NA \n", "5 -86.2261 NA NA \n", "6 -86.3593 NA NA \n", " additional_sample_info sample_name\n", "1 NA NA \n", "2 NA NA \n", "3 NA NA \n", "4 NA NA \n", "5 NA NA \n", "6 NA NA " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head(Complete_data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There's a lot of information in this dataset, most of which we won't be using to analyse the time series data. For simplicity, let's clean the data and store it in another data frame which we can use to map climate data to. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# select only the rows of interest \n", "Main_data <- select(Complete_data, c(\"sample_end_date\", \"sample_value\", \"sample_lat_dd\", \"sample_long_dd\"))\n", "\n", "# Make sure the sample end date is in date format\n", "Main_data$sample_end_date <- as.Date(Main_data$sample_end_date, format = \"%Y-%m-%d\")\n", "\n", "# Order by date \n", "Main_data <- Main_data[order(Main_data$sample_end_date, decreasing=FALSE),]\n", "\n", "# We can now create columns for Month/Year and Month \n", "Main_data$Month_Yr <- format(as.Date(Main_data$sample_end_date), \"%Y-%m\")\n", "Main_data$Month <- format(as.Date(Main_data$sample_end_date), \"%m\")\n", "\n", "# Many sample values are returned with zeros which will cause problems once we log the abundance data \n", "# So, we can transform this data by scaling up by 0.00001 \n", "Main_data$sample_value <- Main_data$sample_value + 0.00001\n", "\n", "# Remove all zeros (on the slight off chance there are some)\n", "Main_data<-subset(Main_data, Main_data$sample_value>0)\n", "\n", "# create a log column - we could also use a log(x+1) transform rather than + 0.00001\n", "Main_data$log_sample <- log(Main_data$sample_value)\n", "\n", "# Pre-allocate the rows for climate data by filling with NAs\n", "Main_data$Max.Temp <- NA\n", "Main_data$Precipitation <- NA" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Import and Map Climate Data \n", "\n", "\n", "Next, we can import the climate data to be matched up to the abundance data we have stored as ```Main_data```. For this, you will need to ensure you have the climate data file `vectorbase_locations_dates_climate.csv` (look in the data directory on the [github repo](https://github.com/vectorbite/VBiTraining2)) saved in your data directory. \n", "\n", "This climate data has been downloaded in advance from NOAA databases, on a scale of 2.5x2.5 degrees lat/long, on a daily basis. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Read in the climate data csv \n", "\n", "Climate_data <- read.csv(\"../data/vectorbase_locations_dates_climate.csv\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now populate these columns by matching up the date for each row, and the closest co-ordinates we have in our climate data. \n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# For each row in Main_data\n", "for (row in 1:nrow(Main_data)){\n", "\n", " # extract the date associated with the row \n", " date <- as.character(Main_data[row, \"sample_end_date\"])\n", " \n", " # subset the climate data to only those with the same date\n", " data <- subset(Climate_data, Climate_data$Collection.date.range == date)\n", " \n", " if (nrow(data)>0){\n", " \n", " # define the lat and long desired\n", " lat <- as.numeric(Main_data[row, \"sample_lat_dd\"])\n", " long <- as.numeric(Main_data[row, \"sample_long_dd\"])\n", " \n", " # find the absolute differences between desired lat/longs to the climate datasets\n", " x <- abs(data$Initial_latitude - lat)\n", " y <- abs(data$Initial_longitude - long)\n", " \n", " # find the index for which there is the minimum overall difference between lat/longs \n", " z<-which(x+y==min(x+y))\n", " \n", " # draw out the max temp and place into main data frame \n", " Main_data[row, \"Max.Temp\"] <- data[z, \"Max.Temp\"]\n", " Main_data[row, \"Precipitation\"] <- data[z, \"Precipitation\"]\n", " \n", " }\n", " \n", " else{\n", " \n", " # If there aren't any data to extract for a given date, input NAs\n", " Main_data[row, \"Max.Temp\"] <- NA\n", " Main_data[row, \"Precipitation\"] <- NA\n", " } \n", "}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's check whether this has worked correctly, and assess whether there are any ```NA```'s. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", " 9.656 23.902 27.844 26.895 31.091 35.782 " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", " 0.00000 0.00000 0.02836 5.73650 4.60330 121.88240 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "summary(Main_data$Max.Temp)\n", "summary(Main_data$Precipitation)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When considering time series data, the temporal resolution can have profound implications. Ideally, we want no gaps in our data - therefore working with data on the daily scale for abundance data is impossible without some sort of interpolation to fill the gaps. Instead, lets aggregate the data to the monthly scale by averaging the daily data. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Month_Yr sample_value Max.Temp Precipitation log_sample\n", "1 2015-01 0.000010000 17.74602 3.303991888 -11.512925\n", "2 2015-02 0.018191818 17.87269 16.544265802 -11.303599\n", "3 2015-03 0.468095106 23.81767 2.405651215 -9.735164\n", "4 2015-04 1.619057619 26.03559 8.974406168 -7.671132\n", "5 2015-05 0.821438571 30.01602 0.567960943 -8.722485\n", "6 2015-06 3.005962381 31.12094 4.841342729 -4.914463\n", "7 2015-07 2.380962381 32.81130 3.849010353 -7.056628\n", "8 2015-08 1.826357305 32.56245 5.562845324 -6.782594\n", "9 2015-09 0.648819524 30.55155 10.409724627 -8.453458\n", "10 2015-10 0.988033952 27.22605 0.337750269 -8.499736\n", "11 2015-11 0.737814878 24.86768 18.306749680 -10.077454\n", "12 2015-12 0.142867143 22.46588 5.621475377 -11.207513\n", "13 2016-01 0.000010000 16.02406 3.550622029 -11.512925\n", "14 2016-02 0.020212020 19.42057 11.254680803 -11.334986\n", "15 2016-03 0.015161515 23.13610 4.785664728 -11.338487\n", "16 2016-04 0.026153791 24.98082 4.580424519 -11.355249\n", "17 2016-05 0.025262525 28.72884 0.053057634 -11.387584\n", "18 2016-06 0.833343333 30.96990 6.155417473 -9.051033\n", "19 2016-07 1.261373636 33.30509 4.496368193 -7.136458\n", "20 2016-08 1.685289188 32.09633 11.338749182 -7.970548\n", "21 2016-09 2.617152857 31.60575 2.868288451 -7.249360\n", "22 2016-10 1.212131212 29.14275 0.000000000 -8.305333\n", "23 2016-11 1.539782727 24.48482 0.005462681 -8.168176\n", "24 2016-12 0.771583604 20.46054 11.615521725 -9.818686\n", "25 2017-01 0.045464545 18.35473 0.000000000 -10.989610\n", "26 2017-02 0.036373636 23.65584 3.150710053 -11.094273\n", "27 2017-03 0.194295714 22.53573 1.430094952 -10.089448\n", "28 2017-04 0.436558223 26.15299 0.499381616 -9.825918\n", "29 2017-05 1.202030202 28.00173 6.580562663 -8.647896\n", "30 2017-06 0.834206891 29.48951 13.333939858 -8.368006\n", "31 2017-07 1.765373128 32.25135 7.493927035 -7.398786\n", "32 2017-08 0.744801667 31.86476 6.082113434 -8.321771\n", "33 2017-09 0.722232222 30.60566 4.631037395 -8.825313\n", "34 2017-10 0.142141980 27.73453 11.567112214 -10.319470\n", "35 2017-11 0.289782727 23.23140 1.195760473 -10.246584\n", "36 2017-12 0.009184312 18.93603 4.018254442 -11.407302\n" ] } ], "source": [ "Aggregated_data <- aggregate(cbind(sample_value, Max.Temp, Precipitation, log_sample) ~ Month_Yr, data = Main_data, mean)\n", "print(Aggregated_data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have a clean dataframe to work with, let's plot our abundance data. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAADAFBMVEUAAAABAQECAgIDAwME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", "text/plain": [ "Plot with title “Average Monthly Abundance”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(Aggregated_data$log_sample, type = \"l\", main=\"Average Monthly Abundance\", xlab =\"Time (months)\", ylab = \"Average Count\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fitting the linear models \n", "\n", "Let's first create a dataframe containing covariates. We include size and cosine waves with a 12 month period to capture the pattern of seasonality apparent in these data." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "t <- 2:nrow(Aggregated_data)\n", "TS_df <- data.frame(Specimens=Aggregated_data$log_sample[2:nrow(Aggregated_data)],\n", " SpecimensPast=Aggregated_data$log_sample[1:nrow(Aggregated_data)-1],\n", " t=t,\n", " Month=Aggregated_data$Month[2:nrow(Aggregated_data)],\n", " Max.Temp=Aggregated_data$Max.Temp[2:nrow(Aggregated_data)],\n", " Precipitation=Aggregated_data$Precipitation[2:nrow(Aggregated_data)],\n", " sin12=sin(2*pi*t/12), cos12=cos(2*pi*t/12))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we will conduct and plot a number of linear regression models for our data we will progressively add components to see which best predicts the data given. \n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nojM5AAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the log sample \n", "par(mfrow=c(1,1))\n", "plot(t, TS_df$Specimens, type=\"l\", xlab = \"Time (months)\", ylab = \"Average log Count\")\n", "\n", "# create a vector to store the adjusted R squared for each model \n", "adj.R2 <- vector()\n", "\n", "# first we will look at how the previous time step and the time itself can predict\n", "\n", "TS_lm_sin_cos <- lm(Specimens ~ sin12 + cos12, data = TS_df)\n", "\n", "# add a line to the plot for this particular model \n", "lines(t, TS_lm_sin_cos$fitted, col=\"green\", lwd=2)\n", "\n", "# we will store the R2 for later, so that we can make direct comparisons \n", "adj.R2 <- c(adj.R2, summary(TS_lm_sin_cos)$adj.r.squared)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It looks like the sine and cosine waves can predict the peaks relatively well! \n", "\n", "Are the data autocorrelated? That is, do the abundances correlate with themselves with a lag time? We can check using the ```acf()``` function in R:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94\nAAAgAElEQVR4nOzdbWBU9Z3o8TMkkCABEkUpSgAFFGoUQYUUoVKLj9hbV1oL9qLE2qu9dduq\nrZZbsHXxGS0ua/fiQxFwFYhVti2g1lW3FqgWERB5qApqeBCtEDQBJCTMfTHb2dyAEB6Sk/nn\n83mVnHPm5DeTYfLlzJyZRDKZjAAAyHwt4h4AAIDDQ9gBAARC2AEABELYAQAEQtgBAARC2AEA\nBELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgB\nAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELY\nAQAEQtgBAARC2AEABELYARxmNTU1W7du/eyzz+IeBGh2hB3AYbZq1aqCgoL7778/7kGAZkfY\nQZNQXl5+xx13DB06tGfPnq1bt+7UqdOAAQOuuOKKP//5z4f9Z82cOTPxd9XV1Yd9//U3YsSI\nRP3827/9W/pSjXZbPfvss+kBPv744/TyioqK73//+4WFhdnZ2Tk5OVOnTk0tTyaTTz755PDh\nw4cOHRpF0YQJE84999yf//znFRUVdfbcmL/ug9Z07ifAAUgCcXvkkUfy8vI+7x/pV7/61b/9\n7W+H8cfNmDEjvfNdu3Ydxj0fqG9961v1fKR67LHHUhdpzNvqmWeeSe+59m7/8R//sfYPffjh\nh5PJ5K5du77+9a/vdarOnTv/9a9/TV+8kX/dB63p3E+A+nPEDmL28ssvX3311ZWVlalvc3Nz\nu3btWvsP/wsvvPCNb3wjmUzGNGADysnJaVNLq1at0qtyc3Nrr8rOzo6azG01f/781BeFhYU3\n33xznz59oiiaMGHCb3/72yiKjjrqqKuuuiqKonPPPfekk06Komj9+vX/63/9r927dzedqwAE\nK+awhGYvFQFRFOXm5j7++OOpQyO7d+9+/fXXv/zlL6f/qf7xj388XD9x3bp1s/+upqbmcO32\n0D322GPp6/unP/1pzw0a+bb6vCN2qVyLomjMmDHphT179kwtXLZs2fLly6MouvPOOz/66KM2\nbdqklr/11luNfxUORZO9nwD7IOwgZqecckrqb/l3vvOdOqu2bt2aPoh1++23p5fv3r37D3/4\nw//8n/+zT58+ubm5xxxzzNe+9rXf//73u3fvTm8zfvz41AW7du2aTCZLS0tPPfXUnj17JpPJ\nhx9+OLUqJyen9o+rz26TyWRNTU1paenQoUO7deuWk5PTrVu3c84559FHH925c+ch3hT7DbuD\nuK3qb9myZVdeeWXqRW9nnnlmaWnpnmG31+eOf/azn+3cuTORSERRVFBQkEwm02GXTCbPO++8\n1GZPPfXUQVyF73znO6klZ5999qeffvqP//iPxx57bE5OTs+ePX/6059u3bq1zk7q+UtMJpOr\nVq267rrrBg0aVFBQcPTRRw8ePHjChAmfffZZeoO93k9++MMfphYOGDBg+/bt119//SmnnJKb\nm/vFL35x4sSJNTU1O3bsuOWWW7p3796qVavjjz/+iiuuWLdu3YFOWPveW11dfd99933xi1/M\nzc3t0qXLJZdcsmLFijrXpeHuk5BxhB3ELH345+KLL97zr+/cuXNnzJgxY8aMJUuWpJbs3r37\nBz/4wZ55EUVRSUlJ+shK7T+NU6ZMqR15e/2DXc/dVldXX3TRRXvd7JRTTvnkk08O5abYb9gd\n6G1VfzNmzGjdunWda3TJJZekv9532O3evbugoCD17YoVK2qH3SFehXTYfelLXxowYECdH33C\nCSeUlZWlL17PX2IymXz88cdbtmy552Y9evTYtGlTapt9h92JJ5645zzXXnvt2WefXWdhx44d\nP/744wOaMH3v7dKly4gRI+ps2bJly9dffz09UoPeJyHjCDuIWe1WGDJkyL/8y7+8//77+9j+\n97//fXr7s88++7rrrhs8eHB6ybRp01Kbpf80Hnnkkfn5+amv9xF29dztxIkT0wv79OkzatSo\nc845J3WwKoqib3/724dyU+w37A70tqqnd955p3bldO/evWPHjnUSIRV277zzzqJFi7p06ZJa\nWFJSsmjRovXr1yeTyWHDhqUWtmnTJvV8617D7kCvQjrsUlq2bFlUVHTEEUeklwwfPjy9cT1/\niUuXLk1f35ycnIEDB5511lnpzc4999xUce477FKOPPLIwsLCOrdVVlZW9+7dc3Nz00vGjh17\nQBOm773pa92jR4/a1/orX/lKeqQGvU9CxhF2ELM1a9a0bdu2zp/GY4899vzzz7/pppuee+65\n7du3pzfetWvXiSeemNrmpz/9aXr5LbfcklrYuXPnbdu2Jf//P425ubk/+clPZs2a9fvf/z65\ntz/Y9d9tOl9q/71M77B9+/aH8mKs/YbdAd1W9ffNb34ztau2bdu++OKLyWRy9+7d//qv/1r7\np+z1NXY/+9nP0gtXrVpV++SPKIp69uw5ceLE9AGwg7sKtcPuzDPPTO1t27Ztw4cPTy9fvHhx\n8kB+ieljYB07dkyfrltaWpreYeq5zv2G3S9+8Yuamprdu3ffe++96YXHH3/82rVrk8nkhx9+\n2LVr19TCYcOGHdCEte+9l1xyyZYtW5LJ5NatWwcNGpRa2Lp16/Q9rUHvk5BxhB3E77333hs5\ncmTtIxy15eXl3XfffalX2a9atSq9vHZqbN26NSsrK7X8hRdeSP7/fxpTr+5K2/MPdv13e9pp\np6W+7dKly+OPP556jVdFRcUzf1f7RVoHar9hd0C3VT3t2rUrHWS33npr7VUXXHDBXm+WvYZd\nMpl85ZVXTjjhhDojZWdnjxs3rvaLvQ7oKtQOuzfeeCO9ky1btqQDMTV2/X+JnTt3Tn37T//0\nT7XnP+OMM9q3b9++fftHHnkkub+wO/LII6urq1MLN2zYkP7R//Iv/5Le+Lvf/W5q4YABAw5o\nwvS9N5FIpKouZebMmek9bNy4MbWwQe+TkHG83QnEr2vXrk888UR5efl//Md/jB8/fvjw4elD\nHVEUVVZW3njjjXfffXcURW+99VZ6+dFHH51+/9j8/PyamprU8rfffrv2znNycmq/Vmyv6r/b\nL33pS6lvy8rKvv3tbx911FFf/vKX//mf/7lDhw7nn3/+BRdckJOTc9C3Q33U/7aqp/fee6+q\nqir19cUXX1x7VfpQUD0NGDDgzTfffPLJJ2tfsLq6evz48SNGjEj+/R1MDu4qdOnSJX3iRRRF\nBQUFAwcOTH2d+tXU85e4ffv29evXp75N7yFl0aJFW7du3bp1a53nf/eqa9eu6RqrfaiydtrW\nOYR5EPfe4447Lv3ixSiKjjnmmPTX6YvEfp+EJkXYQVORm5v71a9+dezYsb/5zW/efffd5cuX\njx8/Pn1U5o477qipqXnvvff2u586fxo7duzYosV+/qXXf7d33333lVdemXpXuSiKampq/vSn\nP40dO/bMM888+eSTX3rppf3u57Coz21Vz129//776a87depUe9Vxxx13oIO1bt36G9/4xl13\n3RVF0be//e30KbGzZ89+9tlnD+Uq1JktiqJjjz029UUq1Or5S1y3bl3629rNdKA+7061jzvb\nQdx70+2Ykn7lXG1N5D4JTUR23ANAs7Z+/frJkyenvh4xYkRRUVHq60QiUVRUVFRUdOSRR37/\n+9+Pomj79u3vv/9++ohF69at//jHP+7179zRRx9d+9u9blNH/Xfbtm3bqVOn3nPPPU899dTv\nfve7F198MX24a9WqVRdeeOHq1au7deu2/2t+4A70ttrzWdG9ql1vmzZtqt1PH3zwwaEMXFRU\n9JOf/OTMM89csmRJFEULFy485ZRTDvoq7DlMeknqgF89f4npM2miKKr9OWmN4CDuvfUR430S\nmiBhB3HatWvX7bffnvp6+/btv/zlL+tsUPuVWNnZ2enXnu/YsaOwsPALX/jCYRmjnrvdunXr\n6tWrU19fc8013/ve9yoqKv7whz9MmTJl3rx5URTt3Llz7ty5qTQ57A70tqrnbk844YQWLVqk\nPhZi7ty5ffv2Ta9KXan6mDhx4g033BBF0dlnn/2f//mf6eVZWVlnn312Kuw2bdp0KFehrKxs\n+fLl6Wdjt2zZsmDBgtTXvXr1iur9S4yiqGPHjh9++GEURfPnz08fU0wmk+PGjUul3je/+c2v\nfvWr9bzu9dcQ995475PQBHkqFuLUrVu39CcWTJw48Z/+6Z/SB1Fqamqee+65sWPHpr4tLCzs\n3Llz796904c07r333vTLttauXVtUVNSrV69evXq99tprBzpGPXdbXl7+pb9LfXxW27Zthw8f\nXlpami6Szzsn4NAd6G1Vz922atUq/dK6e+65J/XMXTKZ/Nd//de5c+fWcyfdu3dPffGXv/zl\nb3/7W+1Vb7zxRuqLLl26HOJV+M53vrNp06YoiiorK0tKSioqKqIoSiQSqZf01f++0b9//9Sq\nBx54IBWdURRNnTr19ttvf/DBBx988MEjjzyynlf8gDTEvTfe+yQ0RTGeuAEkk8mnn366zr/K\nDh06dO3atc775aZOVEwmk4888kh64eDBg7/3ve9dcMEF6ddmnXXWWak3IavzyRO17fVsx/rs\ndvfu3amDQ1EUZWdnn3766SNGjDj33HNrv+vb6tWrD/qm2O9ZsQd6W9XT0qVLa1+8W7duez4h\nuO+zYrdv337UUUelFg4cOHDq1KlRFF133XX/+3//7/QeUue0HuhVqHMeQ3Z2dq9evWqfDVD7\nEyzqed9YuHBh+pVwLVu2rPPWx1/5ylfq8z52p59+enph7ZZ95pln0svTx8lSZ8XWf8LPu/fW\nfsFc6gMtGvo+CRlH2EH8pk2bto+XFrVp02bChAnpTymoqam55ppr9rplcXFxuj8ONOzqudu/\n/vWvHTp0+LxRJ0yYcCi3Q33e7uSAbqv6u/POO/fcW/ppyqgeb3fy9NNP7+O8gWuvvfbgrkI6\n7Pr06VP75NmUr3zlK+kPdUjW+5eYTCYnT56812lPPvnk9GYNEXaHeO/dM+ySDXyfhIwj7KBJ\n2L59+69+9athw4YVFRW1a9cuLy+vd+/e55133j333FNeXr7n9s8///zw4cNTB2+6dOly7rnn\nPvHEE7XfLO1Aw66eu00mk1u3bp04ceKgQYOOP/743NzcgoKCk08++Yorrnj11VcP8UaoT9gl\nD/y2qqfnnnvu3HPPbd++/ZFHHnn++ec/9dRTe35WbMrnvY/ds88+m16V1rZt21tuuSX9lm8H\nehVqf1ZsWVnZiBEjjjzyyDZt2px99tl33XXXXt+xrz6/xGQyuWTJku9+97sDBgxo3759x44d\nv/zlLz/wwANVVVXpDRoi7Oo54QGFXbIh75OQcRLJv7/KAYBDVF1d/Ze//OXZZ58dP378xRdf\n/P3vf3/gwIHt2rU76B1effXVv/71r6M9TssA2CsnTwAcNtnZ2QMHDrzsssuiKDrrrLMuuOCC\nQ6k6gAPl7U6AAM2cOXPOnDn12bJDhw73339/Q88D0DiEHRCgpUuXPv744/XZsmvXroc97IqK\nirzKBYiFp2KBAN111131fKFxfT7nCiBTOHkCACAQjtgBAARC2AEABELYAQAEQtgBAARC2AEA\nBELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgB\nAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELY\nAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC\n2AEABELYAQAEQtgBAARC2AEABCI77gEyw7Jly6qrq+OeAgBoErKzs/v06RP3FHsh7Pbvtdde\nO/PMM+OeAgBoQhYtWnTGGWfEPUVdwm7/qqqqoijauXNnq1at4p4FAIhZVVVVTk5OKg+aGq+x\nAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIRKaG3bZt28rKyj799NNkMhn3LAAA\nTULGhF0ymXz99dd/9KMf9ejRIy8vLy8vr2vXru3bt2/Tpk2PHj1++MMfLlu2LO4ZAQDilBmf\nPFFVVTVq1KjS0tIoivLz83v37l1QUNC2bduKiory8vK1a9dOmjRp0qRJo0aNmjJlSnZ2Zlwp\nAIDDKzMa6I477igtLS0uLp4wYUJxcXGddKupqVm8ePHYsWMfe+yx3r17jxkzJq45AQBilMiI\n16gdf/zxNTU1b731Vm5u7udtU11dffrpp2/fvv3tt98+vD994cKFZ511ls+KBQCiv39W7IIF\nCwYOHBj3LHVlxmvsNmzYUFxcvI+qi6IoOzt78ODBZWVljTYVAECTkhlhd9xxx73yyis7d+7c\nxzY1NTULFy7s3Llzo00FANCkZEbYlZSUrFu3bsiQIfPnz6+urq6ztqamZtGiRRdeeOGSJUtK\nSkpimRAAIHaZcfLEmDFjVq5cOWvWrMGDB+fn5/fs2TN1VmxlZWV5efmaNWs2b94cRdHIkSNv\nvvnmuIcFAIhHZoRdy5YtZ8yYcdNNN02dOnXOnDnLly//7LPPUqtyc3M7dep0+eWXjx49um/f\nvolEIt5RAQDikhlhF0VRIpHo169fv379Jk2alEwmU+9glzpuJ+YAAKIMCrvaEolEu3bt2rVr\nF/cgAABNSGacPAEAwH5l5BG7vdq4ceNFF10URdHSpUvrf6ndu3e//PLLe55pW9uKFSsOdbha\nPvjggyiKOnXqdBj3CQAQhRR2VVVVy5YtO9BLvf/++5dddtm+wy71/nm7du06LJ88MW7cuCiK\nHnnkkUPfFQBAbeGEXceOHZ9//vkDvdTxxx//0Ucf7XubBx988Nprrz1cn71WU1NzWPYDAFBH\nOGHXunXroUOHxj0FAEBsnDwBABAIYQcAEAhhBwAQCGEHABCIzDh5Ij8/v/4bb926teEmAQBo\nsjIj7O69994HH3zwtddei6KoW7du7du3j3siAIAmJzPC7uqrrx49evTFF1/83HPPTZw48ZJL\nLol7IgCAJidjXmOXnZ193XXXxT0FAEDTlTFhF0VRv3792rRpk5WVFfcgAABNUWY8FZty7LHH\nVlZWxj0FAEATlUlH7AAA2AdhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEH\nABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhh\nBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAI\nYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQ\nCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcA\nEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEH\nABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhh\nBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAI\nYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQ\nCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcA\nEAhhBwAQCGEHABAIYQcAEAhh1+zcfvvtGzdujHsKAODwE3bNzp133rlkyZK4pwAADj9hBwAQ\nCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcA\nEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEH\nABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhh\nBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABCI\n7LgHOCQVFRWrV69u3779CSeckJ2d2dcFAOAQZcYRu4ceemjs2LG1l7z99tvnn39+u3bt+vfv\nf9JJJ+Xl5V1//fWffvppXBMCAMQuM45yTZ8+fcGCBbfddlvq202bNhUXF2/ZsuXEE08cMGBA\ndnb2a6+9dv/997/wwguLFi3KycmJd1oAgFhkxhG7OsaMGbNly5Zbb7115cqV06dPnzJlyrJl\ny+65557ly5ffeeedcU8HABCPjAy7+fPnn3zyyePGjcvKykotSSQSP/7xj4uKiubNmxfvbAAA\nccnIsNu4cWOfPn0SiUTthYlEok+fPitWrIhrKgCAeGVk2J144olr167dc/nGjRs7dOjQ+PMA\nADQFmRR2N9544+TJk1944YXLLrvs1Vdfffrpp2uvnTt37ksvvTRw4MC4xgMAiFdmnBVbWFiY\nk5Pzy1/+svbC0aNHX3rppVEUVVZWjh49evbs2Xl5eT//+c9jmhEAIGaZEXYzZszYvXv3hg0b\n1tSyfv361NrKysqnnnpq8ODBkydP7tWrV7yjAgDEJTPCLoqiFi1aFBYWFhYWDhkypM6qgoKC\ndevWde7cOY65AACaikx6jd3nycnJUXUAACGEHQAAUQY9FbtfGzduvOiii6IoWrp0af0v9eGH\nH1511VVVVVX72GbDhg1RFCWTyUOcEACgQYUTdlVVVcuWLTvQS7Vp0+aMM87YuXPnPrbJyspa\ntWpVnfdDBgBoasIJu44dOz7//PMHeqm8vLxbb71139s8+OCDzz333MHOBQDQSMIJu9atWw8d\nOjTuKQAAYpOpJ09s27atrKzs008/9dI3AICUjAm7ZDL5+uuv/+hHP+rRo0deXl5eXl7Xrl3b\nt2/fpk2bHj16/PCHPzyIF9gBAIQkM56KraqqGjVqVGlpaRRF+fn5vXv3LigoaNu2bUVFRXl5\n+dq1aydNmjRp0qRRo0ZNmTIlOzszrhQAwOGVGQ10xx13lJaWFhcXT5gwobi4uE661dTULF68\neOzYsY899ljv3r3HjBkT15wAADHKjKdip02bVlhY+NJLLw0aNGjPA3JZWVn9+/efN2/eqaee\nOmXKlFgmBACIXWaE3YYNG4qLi3Nzc/exTXZ29uDBg8vKyhptKgCAJiUzwu6444575ZVX9v02\nwjU1NQsXLvShsQBAs5UZYVdSUrJu3bohQ4bMnz+/urq6ztqamppFixZdeOGFS5YsKSkpiWVC\nAIDYZcbJE2PGjFm5cuWsWbMGDx6cn5/fs2fP1FmxlZWV5eXla9as2bx5cxRFI0eOvPnmm+Me\nFgAgHpkRdi1btpwxY8ZNN900derUOXPmLF++/LPPPkutys3N7dSp0+WXXz569Oi+ffv6RFcA\noNnKjLCLoiiRSPTr169fv36TJk1KJpOpd7BLHbcTcwAAUQaFXW2JRKJdu3bt2rWLexAAgCYk\nM06eAABgv4QdAEAghB0AQCCEHQBAIIQdAEAghB0AQCCEHY3qvffe+8EPfhD3FAAQJmFHo1qx\nYsWUKVPingIAwiTsAAACIewAAAIh7AAAAiHsAAACIewAAAIh7AAAAiHsAAACIewAAAIh7AAA\nAiHsAAACIewAAAIh7AAAAiHsAAACIewAAAIh7AAAAiHsAAACIewAAAIh7AAAAiHsAAACIewA\nAAIh7AAAAiHsAAACIewAAAIh7AAAAiHsAAACIewAAAIh7AAAAiHsAAACIewAAAIh7AAAAiHs\nAAACIewAAAIh7AAAAiHsAAACIewAAAIh7AAAAiHsAAACkR33AJnigokTW7Vq9V/fHH10dNVV\n//X1jh3R5MlRVdV/b7rvtW+/Pbhnzz8d3GUP19qqqqyJE2P4uTt2RP/+78fv2nXD3Xc39s+1\n1lprrbXW2sO19le/yoqi63fubIpHx4RdPZ0+e3Z2i7//Bjt2jEpKokQiiqKovDz6zW+inTv/\ne9N9r/3wwzN69pyf+vpAL3u41lZWtozl55aXRwsWdKqu/ocnn2zsn2uttdZaa621h2vt00+3\niKJvVFQ0xYhKJJPJuGdo6h588MFrr722oqIiLy/v0PdWUlISRdGjjz566Ls6OHl5ebNmzRo2\nbFgsP33u3Lnf+ta3KisrY/npAHDoqqqqcnJyFixYMHDgwLhnqaspHkUEAOAgCDsAgEAIOwCA\nQAg7AIBACDsAgEAIOwCAQAg7AIBACDsAgEAIOwCAQAg7AIBACDsAgEAIOwCAQAg7AIBACDsA\ngEAIOwCAQAg7AIBACDsAgEAIOwCAQAg7AGgMH3744Ycffhj3FAQuO+4BAKBZGDt2bBRFDz/8\ncNyDEDJhBwCNobq6Ou4RCJ+nYgGgWdi1a1fcI9DghB0ANAvdunVbsGBB3FPQsPYedtddd90j\njzzSyKMAAA3nk08+2bp1a9xT0LD2Hna/+tWvnn322dpLHnjggdGjRzfGRAAAHJT6PhX7n//5\nn9OmTWvQUQAAOBReYwcAEAhhBwAQCGEHABAIYQcAEAhhBwAQiM/9SLFXXnllxIgRtb+Noqj2\nkrSZM2c2xGQAAByQzw27DRs2zJo1q87CPZdEwg4AoGnYe9gtWrSokecAAOAQ7T3szjjjjEae\nAwCAQ7T/kyc++uij2t8+++yzL7zwwo4dOxpsJAAADsa+wm7atGl9+/Y977zzai/893//96FD\nhxYUFNx11101NTUNPB4AAPW197BLJpPXXHPN6NGjly5d2rt379qrLr300n/4h0J4Jm4AAB5P\nSURBVH9o0aLFmDFjhg8fnkwmG2VOAAD2Y+9h9+yzzz700EMnnnjim2++OWPGjNqrzjvvvKef\nfnr58uX9+vX77W9/+/vf/75R5gQAYD/2Hnb3339/FEVPPfXUySefvNcNunfv/vjjj2dlZT34\n4IMNOB0AAPW297BbvXp1UVFRUVHRPi7Zq1evXr16vfXWWw0zGAAAB2bvYbdp06ZOnTrt98Jf\n+MIXysrKDvdIAAAcjL2H3dFHH7169ep9XzKZTK5YseKoo45qgKkAADhgew+7QYMGrVu37o03\n3tjHJRcvXrxp06YBAwY0zGAAAByYvYfdtddeG0XRpZdeunnz5r1u8Mknn4wcOTKKopKSkoYb\nDgCA+tt72A0ZMuT73//+mjVrevfufc8992zatCn9fnVbtmyZPHlyr1693nnnneHDh3/ta19r\nxGkBAPhce/+s2CiKJk2aVFBQcOedd958880333zzEUcc0blz548++mjr1q2pDa688srJkycn\nEonGGhUAgH353LBr0aLF+PHjR40a9etf/3rRokXvvPPO22+/XVBQMGDAgKKioquuumrgwIFR\nFO3evbtFi/1/4CwAAA3tc8Mu5cQTT7z77rtTX1dXV2dn/9f2yWRy0aJFM2fOLC0tXbduXcPO\nCACHbNu2bS+//PKFF14Y9yDQgPYTdv/fptnZyWTyjTfemDVr1syZM999992GGwsADq+XX375\nsssuq6ioiHsQaED1DbtVq1aleu6vf/1rasnxxx9/2WWXjRgxosFmA4DDZvfu3ekTASFU+wm7\nNWvWlJaWzpw5s/Z72hUXF//zP//zmWee6cwJAICmY+9hV1ZW9uSTT86cOfO1115LLenRo8el\nl146fPjwAQMG9OnTp3///o04JAAA+7f3sOvatWvqi6KiolTPnXLKKY7PAQA0Zft6KvaCCy64\n5ZZbiouLJR0AQNO397egu+KKK9q2bfvss88OHDjw+OOPHzNmzBtvvOE1pwAATdnew27atGkf\nfvjhb37zm+HDh3/44Yd33XVXnz59ioqKbrvttkaeDwCAevrcD41o3br18OHDf/Ob33z44YfT\npk278MIL33rrrXHjxkVR9PTTT990001Lly51DA8AqI/169enKoIGtf9PA2vXrt0VV1wxb968\nDz744P/+3//75S9/+eOPP54wYULfvn2/+MUvjh8/vhGmBAAy2rJlyyZOnBj3FOE7gI957dCh\nw7XXXvvHP/6xrKzsvvvuO+OMM1avXn3LLbc03HAAANTfAYRdWufOnW+44YZFixa9/fbbjtgB\nADQRBxN2aT169Bg7duzhGgUAgENxSGEHAEDTIewAAAIh7AAAAiHsAAACIewAAAIh7AAAAiHs\nAAACIewAAAIh7AAAAiHsAAACIewAAAIh7AAAAiHsAAACIewAAAIh7AAAAiHsAAACIewAAAIh\n7AAAAiHsAAACIewAAAIh7AAAAiHsAAACIewAAAIh7AAAAiHsAAACIewAAAIh7ABoJOeee+7y\n5cvjngJCJuwAaCR//vOfy8rK4p6CZmrcuHHjxo2Le4oGlx33AAAADW79+vVxj9AYHLEDAAiE\nsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAI\nhLADAAhEpobdtm3bysrKPv3002QyGfcsZJJXX3311VdfjXsKAGgQ2XEPUF/JZHLJkiXTp0+f\nM2fOpk2btm3bllreunXrY489dtiwYVdddVWfPn3iHZKmb/LkyVEUDRgwIO5BAODwy4ywq6qq\nGjVqVGlpaRRF+fn5vXv3LigoaNu2bUVFRXl5+dq1aydNmjRp0qRRo0ZNmTIlOzszrhQAwOGV\nGQ10xx13lJaWFhcXT5gwobi4uE661dTULF68eOzYsY899ljv3r3HjBkT15wAADHKjNfYTZs2\nrbCw8KWXXho0aNCeB+SysrL69+8/b968U089dcqUKbFMCAAQu8wIuw0bNhQXF+fm5u5jm+zs\n7MGDB5eVlTXaVAAATUpmhN1xxx33yiuv7Ny5cx/b1NTULFy4sHPnzo02FQBAk5IZYVdSUrJu\n3bohQ4bMnz+/urq6ztqamppFixZdeOGFS5YsKSkpiWVCAIDYZcbJE2PGjFm5cuWsWbMGDx6c\nn5/fs2fP1FmxlZWV5eXla9as2bx5cxRFI0eOvPnmm+MeFgAgHpkRdi1btpwxY8ZNN900derU\nOXPmLF++/LPPPkutys3N7dSp0+WXXz569Oi+ffsmEol4RwUAiEtmhF0URYlEol+/fv369Zs0\naVIymUy9g13quJ2YAwCIMijsakskEu3atWvXrl3cgwAANCGZcfIEAAD7lZFH7PZq48aNF110\nURRFS5cuPaALvv/++zU1NfvY4OOPP46i6L333jviiCMOZcKUioqKKIrWrl176Ls6OMlkctOm\nTXENsGnTpmQyGePVj/32T72EIK6fHvsAO3bsiKKodevWcQ3g9o9ivf09/kQe/4O4/Xft2nXo\nO2koyVC8++67B3GN3nnnHS/RAwAOVGlpaQMlzaEI54hdx44dn3/++QO9VPfu3bdu3brvI3ZT\np0694YYb1q1b16ZNm0MY8L+kflZWVtah7+rg7Ny5MycnJ66fHvsAsd/+nTt3njJlynnnnRfL\nT//DH/5w1VVXrV+/PpafHkXRddddF0XRAw88ENcAbv8o1tvf40/k8T+I27+qquoLX/jCcccd\nd+i7OuzCCbvWrVsPHTr0IC6435MwUs/A5ufn5+XlHcxkUEsikcjLy4vrybi8vLxEIhHjU4Gt\nWrWKoijGAdz+Uay3P4Shqqoq7hE+V6aePLFt27aysrJPP/00mUzGPQsAQJOQMWGXTCZff/31\nH/3oRz169MjLy8vLy+vatWv79u3btGnTo0ePH/7wh8uWLYt7RgCAOGXGU7FVVVWjRo0qLS2N\noig/P793796ptyZOvU3x2rVrJ02aNGnSpFGjRk2ZMiU7OzOuFADA4ZUZDXTHHXeUlpYWFxdP\nmDChuLi4TrrV1NQsXrx47Nixjz32WO/evceMGRPXnAAAMcqMp2KnTZtWWFj40ksvDRo0aM8D\ncllZWf379583b96pp546ZcqUWCYEAIhdZoTdhg0biouLc3Nz97FNdnb24MGDy8rKGm0qAIAm\nJTPC7rjjjnvllVd27ty5j21qamoWLlzYuXPnRpsKAKBJyYywKykpWbdu3ZAhQ+bPn19dXV1n\nbU1NzaJFiy688MIlS5aUlJTEMiEAQOwy4+SJMWPGrFy5ctasWYMHD87Pz+/Zs2fqrNjKysry\n8vI1a9Zs3rw5iqKRI0fefPPNcQ8LABCPzAi7li1bzpgx46abbpo6deqcOXOWL1/+2WefpVbl\n5uZ26tTp8ssvHz16dN++fX3wKwDQbGVG2EVRlEgk+vXr169fv0mTJiWTydQ72KWO24k5AIAo\ng8KutkQi0a5du/1+xisAQLOSGSdPAACwX8IOACAQwg4AIBDCDgAgEMIOACAQwg4AIBDCDgAg\nEMIOACAQwg4AIBDCDgAgEMIOACAQwg4AIBDCDgAgEMIOACAQwg4AIBDCDgAgEMIOACAQwg4A\nIBDCDgAgEMIOACAQwg4AIBDCDgAgEMIOACAQwg4AIBDCDgAgEMIOACAQ2XEPAEAjufrqq+Me\nAWhYwg6guTjrrLPiHgFoWJ6KBQAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLAD\nAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISw\nAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiE\nsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAI\nhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMA\nCISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwg0Y1YcKEAQMGxD0FAGHKjnsAaF6+\n973vxT0CAMFyxA4AIBDCDgAgEMIOACAQwg4AIBDCDgAgEMIOACAQwg4AIBDCDgAgEMIOACAQ\nwg4AIBDCDqCRtG7dunXr1nFPAYRM2AE0knPOOWfVqlVxTwGETNgBNJ4OHTrEPQIQMmEHABAI\nYQcAEAhhBwAQCGEHABAIYQcAEIjsuAfIFLefcsoRLf6ewcccEy1cGCUSURRF69ZF550XVVX9\n96bWWtuU1yaTnXv3jm2qDRvuiaLo5ZdjuzW2b1/+4x8XXHRRk/4dWWuttU187bnntoyiVR99\ntC1qeoRdPT17ww035uTkpL455pj/+u1GUdSxY/TTn0Y7d/73ptZa25TXJhIfxTjVQw/Ni6Lo\nyiuvjOvW+MEPJn7jG1cmEqc38s+11lprQ1r7k5/UXH31XQUF10RNTyKZTMY9Q1P34IMPXnvt\ntRUVFXl5eXHPAodk7ty53/rWtyorK+MaoKSkJIqiRx99NK4B8vLyZs2aNWzYsLgGAAJQVVWV\nk5OzYMGCgQMHxj1LXV5jBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAI\nYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQ\nCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcA\nEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEH\nABAIYQcAEIjsuAc4JBUVFatXr27fvv0JJ5yQnZ3Z1wUA4BBlxhG7hx56aOzYsbWXvP322+ef\nf367du369+9/0kkn5eXlXX/99Z9++mlcEwIAxC4zjnJNnz59wYIFt912W+rbTZs2FRcXb9my\n5cQTTxwwYEB2dvZrr712//33v/DCC4sWLcrJyYl3WgCAWGTGEbs6xowZs2XLlltvvXXlypXT\np0+fMmXKsmXL7rnnnuXLl995551xTwcAEI+MDLv58+effPLJ48aNy8rKSi1JJBI//vGPi4qK\n5s2bF+9sAABxyciw27hxY58+fRKJRO2FiUSiT58+K1asiGsqAIB4ZWTYnXjiiWvXrt1z+caN\nGzt06ND48wAANAWZFHY33njj5MmTX3jhhcsuu+zVV199+umna6+dO3fuSy+9NHDgwLjGAwCI\nV2acFVtYWJiTk/PLX/6y9sLRo0dfeumlURRVVlaOHj169uzZeXl5P//5z2OaEQAgZpkRdjNm\nzNi9e/eGDRvW1LJ+/frU2srKyqeeemrw4MGTJ0/u1atXvKMCAMQlM8IuiqIWLVoUFhYWFhYO\nGTKkzqqCgoJ169Z17tw5jrkAAJqKTHqN3efJyclRdQAAIYQdAABRSGG3cePG00477bTTTot7\nEACAeGTMa+z2q6qqatmyZXFPAQAQm3DCrmPHjs8//3zcUwAAxCacsGvduvXQoUMP9FJbt24d\nN25cVVXVPrZZtWrVIcwFTUi7du3atWsX9xQANJRMDbtt27Zt3rw5Pz+/bdu2dT409oDU1NR8\n8sknn3322X63bNWq1UH/FGgiBg8evNeP4wMgDBkTdslkcsmSJdOnT58zZ86mTZu2bduWWt66\ndetjjz122LBhV111VZ8+fQ50t0cdddT06dP3vc3ChQvPOuusgxkamp7c3Ny4RwCgoWRG2FVV\nVY0aNaq0tDSKovz8/N69excUFLRt27aioqK8vHzt2rWTJk2aNGnSqFGjpkyZkp2dGVcKAODw\nyowGuuOOO0pLS4uLiydMmFBcXFwn3WpqahYvXjx27NjHHnusd+/eY8aMiWtOAIAYZcb72E2b\nNq2wsPCll14aNGjQngfksrKy+vfvP2/evFNPPXXKlCmxTAhkhGuuuaaoqCjuKQAaSmaE3YYN\nG4qLi/f92qDs7OzBgweXlZU12lRAxrnvvvu6du0a9xQADSUzwu6444575ZVXdu7cuY9tampq\nFi5c6ENjAYBmKzPCrqSkZN26dUOGDJk/f351dXWdtTU1NYsWLbrwwguXLFlSUlISy4QAALHL\njJMnxowZs3LlylmzZg0ePDg/P79nz56ps2IrKyvLy8vXrFmzefPmKIpGjhx58803xz0sAEA8\nMiPsWrZsOWPGjJtuumnq1Klz5sxZvnx5+i2Fc3NzO3XqdPnll48ePbpv376H8mbFAAAZLTPC\nLoqiRCLRr1+/fv36TZo0KZlMpt7BLnXcTswBAEQZFHa1JRIJH3kJAFBHZpw88Xk++OCDSy65\nZOHChXEPAgAQv8wOu23btv32t7/duHFj3IMAAMQvs8MOAIA0YQcAEAhhBwAQiIw8Kzbt+OOP\n/9vf/ta2bdu4BwEAiF9mh11WVlaHDh3ingIAoEnwVCwAQCCEHQBAIIQdAEAghB0AQCCEHQBA\nIIQdAEAghB0AQCCEHQBAIIQdAEAgMvuTJ4DMkpWVFfcIACETdkDjGT9+fNwjAIRM2AGNp1On\nTnGPABAyr7EDAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLAD\nAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACER2\n3ANkgFatWkVRlJOTE/cgAEBTkcqDpiaRTCbjniEDLFu2rLq6+rDsauzYsdu3b//ud797WPYG\nB2Tp0qUPPPDAI488EvcgNFNXX331ddddd9ppp8U9CM3Rww8/fMQRR9x2222HZW/Z2dl9+vQ5\nLLs6vIRdYyspKYmi6NFHH417EJqjuXPnfutb36qsrIx7EJqpvLy8WbNmDRs2LO5BaI6ayd9f\nr7EDAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhM+KbWxN86Pl\naCZatWrlHkiM3AOJUTO57/lIscZWXl4eRVFBQUHcg9Ac7d69u6ysrFu3bnEPQjP13nvvdenS\npUULTxYRg2by91fYAQAEwn+bAAACIewAAAIh7AAAAiHsAAACIewAAAIh7AAAAiHsAAACIewA\nAAIh7AAAAiHsAAACIewAAAIh7AAAAiHsAAACIewAAAIh7BrPrl27brvttu7du+fk5HTv3n38\n+PG7du2Keyiai5EjRw7aw0MPPRT3XATukUceyc/P33O5x0Mawefd/cJ+PMyOe4DmIplMXnnl\nlTNmzOjcufP/+B//489//vMtt9yycuXKJ554IpFIxD0dgdu9e/fs2bN37txZZ/mQIUPiGIfm\norq6eq9/LD0e0gg+7+4X/uNhkkaxePHiKIoGDBiwY8eOZDK5Y8eO/v37R1H0+uuvxz0a4Ssr\nK4ui6IYbboh7EJqLjRs3zp0794ILLoiiqH379nXWejykQe377hf846Ejdo1k6tSpURTde++9\nubm5URTl5ubed999gwcPnj59et++fWMejtCtWbMmiqKePXvGPQjNRc+ePbdt2/Z5az0e0qD2\nffcL/vHQa+waydy5c/Pz84uLi9NLiouL8/Pz58yZE+NUNBPBP5DR1MyYMWP27NmzZ8/u1q3b\nnms9HtKg9n33C/7xUNg1hmQyuXHjxh49emRn//ch0uzs7B49enzwwQcxDkYzkXogW7Ro0emn\nn96mTZuTTjrpO9/5zqZNm+Kei2B97Wtfu+SSSy655JL27dvXWeXxkIa2j7tf1AweD4VdY6io\nqPjss8+OPPLIOssLCgq2bdu2jyPGcFikHsj+z//5P9nZ2V//+tezsrKmTJly8sknv/POO3GP\nRrPj8ZB4Bf94KOwaQ3l5eRRFbdu2rbM8tWTz5s0xzERzsn79+rZt2z755JOvvvrqE0888eab\nb/7iF7/YsmXLddddF/doNDseD4lX8I+HTp5oDAUFBVEUVVZW1lleUVERRdFe32UHDqMFCxbU\n/rZFixZjx4594oknnnvuucrKyry8vLgGoxnyeEi8gn88dMSuMbRt2zY3Nzf1/9TaysvLjzji\niD3/5woNLSsra8CAAVEUrVq1Ku5ZaF48HtLUBPZ4KOwaQyKR6NSp05o1a3bv3p1eWFNT8+67\n73bq1MkbctKgdu7cuWnTpj0PkKReur7XFxdDw/F4SIyaw+OhsGskw4YN27x5c+ptOVMWL168\nefPmYcOGxTgVzcFHH33UqVOn0aNH116YTCZfe+211Kc5xTQXzZfHQ+LSHB4PhV0jKSkpiaJo\n7NixNTU1URRVV1ePGzcuvRwaTmFh4aBBg2bPnj1v3rzUkmQyee+99y5fvvzaa6/NysqKdzya\nIY+HxKU5PB4mkslk3DM0C8lkcuTIkbNmzerXr9/AgQPnz5+/dOnSb3/72//2b/8W92iEb8WK\nFQMGDNi2bds555zTqVOnN954Y/ny5aeccsr8+fPbtWsX93SE7LTTTnvvvfe2bt1ae6HHQxrH\nXu9+wT8eOmLXSBKJxPTp02+99dYtW7b8+te/btOmzV133fXoo4/GPRfNwsknn7xo0aLLLrvs\n7bfffvrpp1u1ajVu3Li//OUvYTyKkXE8HhKj4B8PHbEDAAiEI3YAAIEQdgAAgRB2AACBEHYA\nAIEQdgAAgRB2AACBEHYAAIEQdgAAgRB2AACBEHYAAIEQdgAAgRB2AACBEHYAAIEQdgAAgRB2\nAACBEHYAAIEQdgAAgRB2AACBEHYAAIEQdgAAgRB2AACBEHYAAIEQdgAAgRB2AACBEHYAAIEQ\ndgAAgRB2AACBEHYAAIEQdgAAgRB2AACBEHYAAIEQdgAAgRB2QHM3efLkRCJx7733xj0IwKES\ndgAAgRB2AACBEHYAAIEQdgD7t3Tp0m9+85uFhYU5OTmdO3e+9NJLX3/99dobrFu37vLLL+/a\ntWuXLl2uuuqqLVu2DBo0qLi4OK6BgeYpO+4BAJq6d955Z8iQIZWVleedd97RRx/9+uuvz549\n+8UXX3zzzTc7d+4cRdHKlSuHDBmyefPmIUOGHH300fPmzVu6dGlVVVVeXl7cswPNiyN2APsx\nffr0Tz75ZNasWfPmzZs2bdry5cvvu+++Tz755MUXX0xtMGbMmI8//vh3v/vdCy+8MHPmzBUr\nViSTyRUrVsQ7NtAMCTuA/Tj77LMffvjhr3/96+klRUVFURRt2bIliqKysrLf/e53X//614cN\nG5Zae9RRR40fPz6WUYFmzlOxAPvx1a9+NfXFjh073nzzzYULFz7yyCPptatXr46iaMiQIbUv\ncvbZZzfigAD/xRE7gP345JNPbrzxxqKiorZt2xYXF0+ZMqWwsDC9dt26dVEUdezYsfZF2rZt\n26ZNm8YeFGj2hB3Aflx55ZW//OUvBw4c+Nvf/vbTTz9dtmzZLbfckl77hS98IYqijz76qPZF\ntm3btm3btsYeFGj2hB3AvlRWVj7zzDPDhw9/6KGHhg0bljoO995776U3OOmkk6Ioevnll2tf\nauHChY07JkAUCTuAfdu1a1dVVdVHH32UTCZTS9atW/eLX/wiiqIdO3ZEUdS9e/dzzjnn6aef\nfuaZZ1IbbN269Wc/+1lM8wLNmpMnAKIoiqZNm/bKK6/UWXjWWWddf/31Q4cO/Y//+I8ePXr0\n79+/vLz8xRdfPP/889esWTNx4sScnJwbbrjhvvvuGzJkyMUXX/yVr3zlmGOO+eMf/3jSSSed\neuqp+fn5sVwXoNkSdgBRFEVvvvnmm2++WWdhdnZ2FEUzZswYM2bMM888M2/evNNPP/2hhx66\n8sorJ06cePfdd2/atCmKotNOO+2111676aabFixYkJ+fP2LEiNtvv/2UU05JvfwOoNEk0k8u\nAHAQampq3n333by8vNoZV1FR0aFDhxtuuOHOO++McTaguXHEDuCQtGjR4uz/184dm0gIAGEY\n3VAEYxuwj8VgwQqswh4MTTexCksw3gpMrEUEN7sG7riFf9+rYMKPgZn7vSiKbdvKsrzdbtd1\nTdN0HEff95+eDvguNnYAvzXP8zAMTdM8Ho+6rl+v17quXdf9nFMA/A9hB/AHlmV5Pp/7vp/n\n2TRN27bjOFZV9em5gO8i7AAAQvhjBwAQQtgBAIQQdgAAIYQdAEAIYQcAEELYAQCEEHYAACGE\nHQBACGEHABBC2AEAhBB2AAAhhB0AQAhhBwAQQtgBAIQQdgAAIYQdAEAIYQcAEELYAQCEEHYA\nACGEHQBACGEHABBC2AEAhBB2AAAhhB0AQAhhBwAQQtgBAIR4A2GN3K9Myp4qAAAAAElFTkSu\nQmCC", "text/plain": [ "Plot with title “Series TS_df$Specimens”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "acf(TS_df$Specimens)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ```acf()``` function automatically includes a 0 time lag which will always have a value of 1 (every measure is perfectly correlated with itself!), thus acting as a reference point. We can see that a time lag of 1 (month) has the highest correlation, so it should be interesting to incorporate this into a linear model. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "TS_lm <- lm(Specimens ~ SpecimensPast, data = TS_df)\n", "#summary(TS_lm)\n", "plot(t, TS_df$Specimens, type=\"l\", xlab = \"Time (months)\", ylab = \"Average log Count\")\n", "lines(t, TS_lm$fitted, col=\"pink\", lwd=2)\n", "adj.R2 <- c(adj.R2, summary(TS_lm)$adj.r.squared)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we can create a model to incorporate climatic factors individually into our models. First visually examine the times series of temperature and precipitation:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAADAFBMVEUAAAABAQECAgIDAwME\nBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUW\nFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJyco\nKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6\nOjo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tM\nTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1e\nXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29w\ncHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGC\ngoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OU\nlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWm\npqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4\nuLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8fIyMjJycnK\nysrLy8vMzMzNzc3Ozs7Pz8/Q0NDR0dHS0tLT09PU1NTV1dXW1tbX19fY2NjZ2dna2trb29vc\n3Nzd3d3e3t7f39/g4ODh4eHi4uLj4+Pk5OTl5eXm5ubn5+fo6Ojp6enq6urr6+vs7Ozt7e3u\n7u7v7+/w8PDx8fHy8vLz8/P09PT19fX29vb39/f4+Pj5+fn6+vr7+/v8/Pz9/f3+/v7////i\nsF19AAAACXBIWXMAABJ0AAASdAHeZh94AAAgAElEQVR4nO2dd2AUxRfH51JIoYP03nuTKlKl\nFwVBaYKAhY6AIoKIEVFBUFTEgqCICPpTAaWo2FBRUJqAgCIqNrpIhyQkt7+7XMolua3z3uzO\n3vv8kdztzrx5l9z3bnfmzXtMIQiCG2a3AwThBkhIBAEACYkgACAhEQQAJCSCAICERBAAkJAI\nAgASEkEAQEIiCABISAQBAAmJIAAgIREEACQkggCAhEQQAJCQCAIAEhJBAEBCIggASEgEAQAJ\niSAAICERBAAkJIIAgIREEACQkAgCABISQQBAQiIIAEhIBAEACYkgACAhEQQAJCSCAICERBAA\nkJAIAgASEkEAQEIiCABISAQBAAmJIAAgIREEACQkggCAhEQQAJCQCAIAEhJBAEBCIggASEgE\nAQAJiSAAICERBAAkJIIAgIREEACQkAgCABISQQBAQiIIAEhIBAEACYkgACAhEQQAJCSCAICE\nRBAAkJAIAgASEkEAQEIiCABISAQBAAmJIAAgIREEACQkggCAhEQQAJCQCAIAEhJBAEBCIggA\nSEgEAQAJiSAAICERBAAkJIIAgIREEACQkAgCABISQQBAQiIIAEhIBAEACYkgACAhEQQAJCSC\nAICERBAAkJAIAgASEkEAQEIiCABISAQBAAmJIAAgIREEACQkggCAhEQQAJCQCAIAEhJBAEBC\nIggASEgEAQAJiSAAICERBAAkJIIAgIREEACQkAgCABISQQAgQEi7dxCEVOw2/y7HF9J2RhCS\nsd302xxfSN+yJPQxCAKQJPat6T4kJILIAQmJIAAgIREEACQkggCAhEQQAJCQCAIAEhJBAEBC\nIggASEgEAQAJiSAAICERBAAkJIIAgIREEACQkAgCABISQQBAQiIIAEhIBAEACYkgACAhEQQA\nJCSCAICEFF4cPWq3By6FhBRe9Lnebg9cCgkprPAWZ1/b7YM7ISGFFftYyx52++BOSEhhxQuV\ntnl22e2EKyEhhRUDhiodbrPbCVdCQgorSr+qfBr5q91euBESUjhxiB1SlBZj7HbDjZCQwolX\nS/l+vBtLa0nwkJDCiaEDfD9Saz1otx8uhIQUTlR60f9zcYGzdjviPkhIYcTfbJ//V3K5J+32\nxH2QkMKIN4ukpv1+qsQVmz1xHySkMGLEzYHfF4sustcRF0JCCiNqzk9/MKPyVVsdcSEkpPDh\npGdn+qN/875tqycuhIQUPrxbICXj4fgGXjs9cSEkpGAWt1juYgXf0y3z4R/RH9noiBshIQXT\n6Nr8pR47acvQAmg4O+vx7e3s88OVkJCC+JXtPb+oRsyQvXYMjs7ZyKB/9YEI8/93QgMSUhCP\n1fD9SF3bkV3/TopuY+lYGx/8R72pt22OuBISUhANEgK/d42IrfrsRTs8wOT+DsHPvvPss8sR\nV0JCyuIgy3xvHU8oVuCeP2zwAZHmj2R72maYTX64ExJSFo/WDHqSuKxeRM9PbfACiwvRX2R7\nviHaZR8U9kJCyqJe9o9sZfOtkY2XJdvgCAob81zKfqDRRHsccSckpEx+YvtzHvp5dN5ybvlW\neihnRruVeU/Z4og7ISFlMrNuiIP/9e0Q4qiMtJmW40BK5QQ7/HApJKRM6jwa6ujHeS6IdgSF\nxNhcsQwvFnHHS3MEJKQMfmIHQh2+Er9WtCcofBWZa1tsYqn5oVoSViAhZZDQIPTxbu5IuvNo\nk9zHnijr4shCwZCQMqj9WOjjz1US6wcSne7NfexcodfEO+JSSEjp7GU/hT5xkB0U6wkKV/O/\nH+LoAzVShXviUkhI6cxoqHamynMi/UDiO8+/IY4ej1st3BOXQkJKp9bjamfGdBfpBxJz64U8\nPKqpYD9cCwkpwB72i9qpD+Iui/QEh55jQx7+LepzwY64FRJSgIcaqZ66EPOxQEdwSC2skqRh\nYCexjuBzwJ6EzCSkADVmq5/rIH9Q2g9M5e2127NDrCfoNCm83I5hSUhp7GYatU7m1VQ/JwkL\nqqmd6XarSD/wSczTP6aPDdkCSEhpPBhiuTKTvew3YY4g0fcutTNfRrphdj+L7z3/7mtcbJXw\ncUlIaVTTzIZd/iVRfiDhLb5M9VzLuwU6gs/CqopydU70racFj0tC8rPLo/mdc1cvUY4g8RM7\nrHru/Zgj4hzBZ3h//8/va5bdKHZcEpKfaVpXdoryXn7JY9IWlVc/523Q0k37kuo9lfbr8qTI\nUUJj20lIfqrO0zx9LnqTGD+wuG2IxsmjTSqrREdJyKXIr9IffVut4iaBA5OQfGz3HNZu0OoB\nIX6gUf4VrbMXbyr8pShPsPk64nzGw0v3RIy4pNUWFBKSjynNdRo8prLFQhJ+Yz9rnk8Zn8eW\ntRcEnq4T9GRj2drbRQ1MQvJR5SmdBjs8Ut+QLy2plzL/2cgEEY7gM3Bo8LOzI6IeEPROIiH5\nlx70ElN5S0i9ceeOfrpN1sQPc0W+pKoLsz9/r1j9H4QMTEJSlMnX6TYZov9WdDBVn9dvs61E\nhzP4nmBz1vNdjiMnbo6dIyL/NAlJ8VbUT12worDEycCPsD0GWh2uXUf+jJGfReeO1H+9YKsT\n+COTkHxXdn/ptjklc/GGt4oY2gd75oaSwm7NsZgdKoj/r1oT8EcmISn35cycGIpmD6P7gcbo\nm4y1uzoyb6j96DLRZ0Soo2/mxQ8YIiF5KzxroNXDEm8lraM3KZnJs1FzMB3Bp1zIBbPk8vgv\ni4S0JeIfQ60EXGfjcMqzzXDbd2JHyFzv/CQLPUU3tzT6+4mENKm1kVYpRd/EdgSL1flMaOPb\na7qe12/lVNbHhp7DP1dQPfodiLAXkrf8AkPt+muFqzmaiV3MtD5UvcHfWJ6gk6C2kDGpHnYV\n97AX0jcRxoIWXismawq4a1XzI4Xk31ZlxCxhItBjvMqJv6Oxi4qEvZAmtDXW7phH0rnhc5Gb\nzXVIHJj/QxxX0CmpegU3oCvy0OEupNSyBlb902g4C9URNDbEJprskTo5eheKK9j8lbvCVQbb\nPT/ijh3uQtocYTR701Qjy00OZGpb830aauRUcjCr86tffrcdjjt2uAtpfDujLTdFik4DAMN1\nFpaSx/aE90MA0zT+mWtjcPPdhbmQUku/YLRpcsF3MD3B4lKez8x3WllYypmVjpPVz3lrPYg6\ndpgL6SvDV3aK0vtOREfQ+Cz6ovlOf4YuuuZwvEVU0smmsagwag6HMBfSuBuMt325FPZaBAaq\nSyualFsM7YcAftHMP5hYwui0kiXCW0ippU1krPuL7cXzBI12ltJN9B8G7YcAVhbR/KRLqIS5\nFSa8hbQp0kwEXa25aI6gkRS/3kq351RTHDuYe7VDOE7GvYc4eHgLaUxHM60nmbgOdAqbIy3t\ne93BjkF7gk/r6drnR2BG8Ie1kFJLLTLTfGMe+eI5H7/WUrer+dYAO4JPan4dnw9GbMEbPayF\n9HmUqb0RiXk/wPIEja4WS9LcoDGT7FB+ZHr7YW7sizd6WAtpVGdz7buPxvEDj6sFLNZlmGFp\nss9WlpbUa/FlxCG00cNZSCnFTU7yLqiI4wge2zwW9yN+HHMF1hN8xurvqG8+Dm30cBbSp1Em\nC1L9opOx1Hk8VdtiR9Mx4/bT7FHdJm/Fh6rtDkI4C2mEqR1vfqoYSe/gJHpZvhitL1v2huRY\n/c0fKZXN7c0yQRgL6WrxJWa7jMXe1QKMt+hKq11H3wjpiAB2MgNXsfNLYF2xhrGQPow2/T2/\nLi53/kEns1d3IkuVN6+RLCBqUQUDjc4VxMo9HcZCuv52010uxnyE4AgeC6tY7nqYSVY06W5D\nc9v310X6fAhfIX0YrVHIXI2OFpdlbKIfx262sqYvfO2lgWYZ4Az+yYP0URi+QmpmpQjxvJrg\nfmBSeqn1vrcibykF5kr054ba3WYqKsw4YSuk9/P8bqHXj5qR+k7jII+3z1aHc0QAWzzGggr3\neHByJIWrkFIbjLXUr9yLwI5gsrgMR+ftHpOrbPaywKjubzB/a2yEcBXS/2KtzWfd3QvYEUwG\n3cbR+Wo+qTLqDzH6WjdE6xcfsUCYCiml1n3WOr6X12xyKxspwzVf0H4KlB8iqGl0rdxbB6Wy\ndpgK6Y28FmPQzkV/AesJIgeZhXnJLB6SKf/Y+YhvjDZdUuAcggPhKaSUGpZTyrSW53P65XJc\n3T+SKW51U6ThHC+JpTACvcJTSIsLWs5R93h9SEdQ6c93W30uUqIqhXNN/FtmVUQoXROWQkqq\n9IjlvjsZyr0qAt6SS/kM1JMoR0W/O4y3PZ33f/AOhKWQFhayXsDbW+pVQE8w2c8O8xkYJdEM\nZSUT6aCUMU3gHQhHIV0py5Pa+vZbwRzB5YVKnAaWyxO3etpUrZDfEDZbhaOQnr6GJ4nJykKS\nFIe8xcTVTkh+ZwdBHBHAx3lMrUr07g3uQRgK6WKJ+TzdT0canmi1FW/xN3hNlMHacwDOLHOZ\ntjZ7wEPbw1BIT5S6xNW/+UNAjuCyl/3Ja+IWabKdm90J3AI8jU34CelcEcMFKEKTgHCrisCC\nqtwm5ksT617W5AzQO/H/AXsQfkJ6pAKn7a0RFqMixHLzXdwmvveg5QqB5SjbY66DkQQP5gg7\nIZ0uyFtoIaXoChBPcEkF8DI5fi2AJwJYG292AqgZdCHTsBPStKrJvCY6yhAl9IP1dA1ZtEWJ\n74TnoVZme4y6GdiFcBPSqfzLuW1M7AHgCDbzawAYedD0G9QezCdmXlwe2IVwE9K91flXgRZX\n4PcDnRtHARjZECPHppFipi9jdzLgbYthJqSj8QCFYLd6zvIbQSalEEQ82RnM+g1wWFg5TorZ\nCOtDmAlpbD2AKsPnPVv5jSCzw3McwkydeRBWsHmnoPn/auMnYH0ILyH9GQNSmKWC8yuszrOa\n9Ds7I+BjaRCY0sF8n7tvgfUhvIR0V2OQMMzuzs9u191abpecLJMibrW9hcnFl3hDenMgXkgX\n/zyn+89BEtJhoOyAUzqBmEHkagGYeqm/sl9A7KDiLWThxW7zWN7bGRKhQvLunFAlL2Msrso9\nuzUbIglpSEsYO8tKwdjB4zvPKRhDpZbC2MHkJ/aH+U6J0Z+BOiFSSEn9GCvUpFOfTk2KMDZE\naxoaR0gHo4ASl+xkQG9TNOZAbYjvwx9ohM7yYlZ6NTSU4tgwIoWUwFpsDsgn5ftOTGvWBEdI\n/aCqkl+O/ArIEhZdJgAZeroWkCFEJnS30uuO/qBOiBRSxXJZaWmu1tcKTkYR0o8RYG//apwB\n5Nhc1SvwbZjvJIhbbfmwlV4L+aPjgxEppOjgTdpj82i0RBFSr25gpnqPATOFwrcRUG//5Ph1\nQJbQSMlrKbR2q8Fk4QYR+42UFXCS0qiyRksMIe3wfA9m66E2YKZQeKwRmKk208BMIbGbHbXS\n7XLUJkgvRAppZtY90rZOTCuOHUNIXQHXFt8qAmcLg473gpma5vDPDEVZUtZav7pPQXohUkjJ\n/Rkr1LRz3y7NijI2UGs3A4KQvo3QnnE3xY/WPgRFkWTtYick6+NE1MXmweqOiKGDIL0QvI40\nvlIsYyy20vidmouyCEK6AXKSJjnPp4DWwPk6Eu7y/7+I78Bs4dDYYqXy50A30guPbPCe+yN0\nZMPp22/NpDW4kH5m+yDN1XkG0ho0MyGzStR+GtAYAol5LMZxfxPBk5UtJ7bE2iUfDyGl/8aO\nyKQ1u8A7Rg7W5Ac118/R65Tt7gc0dncfQGMIWE4scSnya0A3hAopecnI/gsSUybGsAIDNBOI\nvAwupHnXgpqb2QLUHCyJoJk9Xi8BaAyBFyxXbq8FeVkhUkgXGvvuj1ifJ1mpDpVYGa3NcfBC\nGtkP1Nyq/A6Oit4UBVkA6BBflSV0hg+w2nPwEEA3RAppKhuw7eAcFndzouJ9lmldfsAL6QbL\nBZFCctBKnKQoHob9uiy5DNQcNNZnsefXAXRDpJBq10nx/WzGfvT99DZsqNESXkjlYbPvpsRt\nALUHSuupoOZuHgFqDphLUV9a7fqV8eJk+ogUUtww/8+7WVp8w+B4jZbgQkqMAK4/0Ag2dhiS\nS8DpCOZBfnCD83WE5evYCxGAldRECqlyWvT1msDezY5adRnBhbSfHYM1OBinyDwEn0YDftD6\n2AK8BQ6W+Rx76qsvgPNDpJAGsdcyk1Rsj9RKDgcupPfzAU8OzIadBYRkOnAR5SQnX8Yqg4Za\n7ztwGJQXYoX0T2FWZnDao3VD82hWhgIX0lNwUZwB1sWlAFsEoyV0tYxWsBM1sFR73nrfeYD1\ngIWuIx25u3Lgi/g2VlnzOh5cSKOgy+wddmwyg0t5YPdQK8oDbYENAnKWJzXaF5F8BX6CER3Z\nEIj+3vWb9pUWuJA6QH+oesG2zkHzcR64d0eAtQ6OW/00+rL1zmc9cHGEzkzHBS6kCuC155pD\nlzOA4gHwfQ//Au7kgmY21zV7lReh/AgTISWChlWlcaflBXVkmieAm6zJVSsUlb5ci1z94EoS\nhoeQwGe/FWV+XWiLMJyP3gRu886+4CahKP8KT+85cHNQ4SGkD6BnvxVlY7Qzbxw2xHLcNKjw\nmmPjVk+yXTzdP42+ot/IGOEhpKe04pGscQR2gxMYk9vD2zzIfoM3CsKGWK6ycf9pLsKYIjyE\nNBo4Y7qfIm/D2wSgyUx4m95ib8AbBeGR5nz9Ky6C8SNchNQRIRVO6xnwNvk5Az+t4qPXSASj\nENRN4OvPN1cRTHgIqYLJ6vFGGO3InaNr4zFq7M116MzK9x7OvVKPg23KDwshIcx+K8rC6vA2\n+ZmEUijjW89/GGa5GcWbhPqjPFBTRmEhpAMY2bM2RcJPj/HT0GJKHW0SY2Hq4QBzpRBvZe1T\nfLN+QYSFkD7Ii7AxHO5/AMhppKKv10MHwoLwZkHuaKhySyAcUcJESE/Dz377KOHAqazV+bim\ng1WZgjCpzk8H/jkQsCzuYSEkjNlv37/RQsFFbO7pimP3g3gcgXLxB0Duykc5588zCQshYcx+\nK8qEnhhW+ag3B8fuKbiVSzgSavDbWM+3optFWAipIsLst6K8UhHDKhf/RmDFadd4FsmwdbyV\n5/EbOc728BvxEw5CSsQpsPetBzLlLQjv5tcqKMrDHdA7I/n5LAoiErn0UgAjSngICWX2W1HO\nAW4LA2KMViIMLl4tjWXZMrf1grDSczyElfAQ0lqM2W8f5aGmTsGoDXCxE5p97AiWaYucjXsf\nwkwCUKX7cBDS0w0AjQXRbRKOXcuc8OzAMn3ZA5gDDoSXSoBME3wQD5PFJhyEhDP7rSj3d8ax\na5m3C+KlNiq+Es20NZpNBjHzD9sPYicchNQJNoVvJq877b5h5E14tpvNxrNthX1sL4yhkjDr\n6uEgpIpI9zLbmcNSkFZHLH926yg821a4D2oltdtEEDNhIKSkSMtp1rW5FIGx98c6Rxlgmdyc\nTO6GZ9sCV0u+DGTpodYgZsJASD+hTTgBZnOCYEWRVP1GVnm+Fp5tC6yJgyqTuzofyF8tDIS0\nNh6rKFivsUiGrXEX5lbDtVrVQ8Rz02AoS3+ynyHMhIGQ5gNmeM7O9HZYli1RBbC4Qi72sFOI\n1s1yPPpzMFvFVkBYCQMhjUHLyrbyGizLVvgrrYIbFucY2hqVBeZWhLuK7XwfhJUwEFJntO0O\ne9hxLNMWWFYMta5tofcwrZukNmCupGkg1xVhIKRKi+FsZScpGrrwAw/DceNKGzyNat4UWz2A\nifbeLQDxAeR+IaHNfvuo7aTNBRVfQDV/0z2o5k0xAjLFy+/sEIAV9wvpZ/YPmK2c3Ho3mmnT\n/MkOoNofDxJsDcLlQpDxSl6QVJ/uF9J6tNlvRZl5HZpp07xbGPUWCSnxhSWWFwJN4NRhCoAR\n9wvpGbTZb0V5D+TyGoZZLXDtv1cY174J2o8GNTelA4AR9wtpLOIy5c/sLzzjJhkyFNf+dnYW\ndwDD/B6xDdTe2xDf5e4XEt7st6KkxH2IZ9wkzZ7AtX8SKtyamxnACZQPsd/5jbhfSJXRZr99\nNJyLaNwc6Os8edchD2CQ1ArABQS9hd7lN+J6ISVFbYIyFYLbhiIaN8Vx1LgGP7UWIg9gkE9A\nkp4E0w4gXZvrhYQ5+60oT4BVM+Dl6wiw4nMqdL0feQCDDAS/6b0PYKuz64W0Pg5zYm1tPOLO\nBVMsroQ9wsh+2CMY4mwc+CXmiqL8NlwvpGfqQVkKxe+Ms0APGJORkhVn8UQz7BEM8QJM0pNg\nfmJ/cttwvZAwZ79996n5QXJCAYAfwbPCGSWZm0Asn2YnNf9qbhuuF1IX+L97MM0eQzVvnBq4\nkXY+vvE4oSDUjxiRUK35q9a4XkiVX4GyFJLhA1HNG+YqfiD63+wg9hAGmAiU0DG70e7cJtwu\npGTU2W9FeQr1Fsw4B/FjLFLzfII9hD5JxTCWBd/gv2p1u5AOsr+BLIXm4zzOKByElZY5GOQv\nd0OsAkt6Esw+/jUStwtpfRzu/DRUok5enhIQm91+Ov4YevQcimE1Je8HvCbcLqRnsS+9iryD\nPIAx7u6PP8YwsMw9ljkWhbNLs2UCrwW3C2nczUCG1GiVgDyAMdo8jD9GAkwqRR7mVMK5gh13\nI68FtwsJefZbUUai5SgyRck38cdYWh5/DB1qzcKxu5Q7jbvbhVQF+wZ5AUAhU37OMgE1Xr+I\ntHti5ZsI/hCEkOxhvIGwLhdScvQXMIZU+SLSCcuU20TsuvuNHcYfRJM7uyAZvhq3gdOCy4WE\nPfutKKfYD8gjGGF5KQGDJCPmYzLExQIQaUpC0vxRTgMuF9IG5NlvH8UF3J3oMqOtiFHKLBMx\nijpLYZOeBDO6N6cBlwvpWeBdySG4AWBXGDf9RogY5Xrej21O2oxDM72kHKcBlwtpHO8HjT7j\nuWdOARCTBnXQnSJGUeV3z04027vYST4DLhdSV5hCo1osQt9Rp49XTD6FaRB5q6wzC/HyIinm\nY04D7hZS1UUwdjT4xnMefQw9/mS/iBjm5aoiRlGlyQxM44/z9Xe3kK4CltFR46zne/Qx9Pg0\nWsgKz0d57NxYf8SDuVY2gnNh3d1C+kVEAseyr+GPocPCmkKGOcCOChknNC+Wxgxwf7kiX393\nC+nDWAEfoV1BClVxISjB/WXPViHjhKYrbKLiHGxn/3L1d7eQnqsDYkab+7CW243TRVCmrGJv\niRknFBdiP8I0n5TnU77+rhbSePzZb0V5rYyAQbSpuETMOE3miBknFO/kw03c14jvtblbSN3w\nZ7/9cW6nBYyixZXIzWIG6ot6daXN4Ftw7d/Jl7bP3UKq+jKIGW0uRQh6G6uyl50QM9B9/ElC\nrJJSdDnuAC9U4eruaiEJSK3jp8pLIkbR4L1CggZaIOKeMzRfRvFNBuiy2cN16ehqIR0CyKBp\ngJvGixhFg8ebCxrog3yCBsrNRJDa4xpwZhtztZA+jBGygPhgexGjaHD77YIG2s05R8xBVeBa\nLrlI5QsScrWQBF2JrLhGyDDqNBeV7vUMwwsb1eZH/CAovhtqVwvpHjHrlLtF3eurUQSgUJYx\nCvInybbGY/j7YTpO5entaiEJmf1WlMQo/Ig+LQQWpaz/jKiRctDsQfQh7hrA09vVQqomYvbb\nR80FYsZRYXOEsLQRN04UNVJ2jgqIDH6Mqyy8m4UkaPZbUW4ZKWYcFZZwxluaAD1NoAqLSuBP\nG71Zkqe3m4UkaPZbURKuFzOOClMAKjcaZF4jYUNlo7uArfTfeC5x9HazkD4SM/utKO8WxM9g\nr0EvcetY7xQRNlQwF2PX4w9yhKvykpuFtKA2gBEjHEBP+qVJzeeFDfU9s2U78Kq82JWmfXhj\nP+To7WYhCZr99t2MxaBG+OuNLrBu0Qm2T9hYQQxFrV+aQfUXOTq7WUjdhe24qz9P1Egh+EXU\nraAPb7yAa6xcpFzzuohhOvPkiXezkKoJCyYdNEzUSCHALgGVDfxStSH4KvKUiGFG8mykcLGQ\nUvIImv1WlMebihopBE83EDgY16e2Ve5rI2SYJ5pxdHaxkH5lf/AbMcYH8Tam1xl5q8DBRBQ0\ny0X1p4QMs7I4R2cXC+ljUbPf/joNv4oaKjft+GvbG+dxruV/axwQVE59K7tovbOLhbSwFr8N\ng6QWXilsrFyUfkPgYG+KKHuRgzliko0px3imJF0spAk38dswyo32JTM4LzRBJec+UktcxxWW\nbRyuKUkXC0nc7LeizMWP8ldjOzsjcLS/xCRHDuZExBZBI9VcaL2vi4XEtb5mkq0eIRO0oVhR\nQuRoKdF86d8ssLi4qHtdnpIL7hVSCmfGP1Mk531f3GDZeVjM3HAGlQSl0MviRmHFZEZzZPxy\nr5B+FVrxtINteYv73y10uHaYJSFCcTl+raih5jSx3te9Qvo4JgXAE6M8YtuSbCOx4UlDRSVa\nyeD9OJ7dDaZ4myP5hnuFJHD228fnUTZVSfLmE/aBnYbgK0lFGS4q9Jgvtt29QpootCTlZYEh\n2NngTMdmmlcrCB1OSS3xqrCxTnAkv3CvkHrcC+CIca4Tfe+QzmdRQmqMBY13Veh430QcEzdY\nXuvf7u4VUg2Bs98+HmgrdLhMXqgudjxh+/fTmSJyG39t61lsXCukFMHXWutjxC/5+5kguKh6\nUsTXQser8aTAwbpbv4pxrZB+Ezr7rShnRZVWyYGAuu3ZERra5/sC/FngaGOt78R1rZA25hE5\n++2jwRNix0un0iuCB7xulsjR5gotpD73WstdXSskQfWJsxjfTfCAaSRGfiV4xAF3iRztekFF\nPQNwJElyrZDEzn77eKeA4K/ANPax44JHnNpJ4GAnxV4wb2dnrXZ1rZB6ToJwxATHbanUsKqg\n6BFfEjlN+FpRoZ9Op9huq11dKyTxWTqq25FgnivPgCU+jBWYDbP3cHFj+clvOfbYrUISPfvt\n404hyddyMGyw6BH3M3ErpJfzrhE2Vhp1n7Xa061C+p39DuKJCV4vZkPiYrFzaH4usu+EjbU2\njiOLghV6Wq624VYhCZ/99g1Je/QAACAASURBVGv3J9FDKkrRd8QP+T9hQ90lesZofG+rPd0q\npBdEz377KLdI+JAcd8eWaTxX1EipJReLGiqdpxpa7elWIU3qCeKIKQYJv1/hLEVijT5jRY20\nRWTAahrvWZ4EdauQhM9++3ipnPAhXysvfEiBn1FThSfR22k5k4xbhVTThhzV+8Slds3gAZGr\no+k8KyxjUm3hUVen2S6LPV0qpNSYjTCemMFbbLnoIXuPEz2ioqzJL2igX9l+QSNlYblsu0uF\nZMPst4/eAgo0ZodjA41ldrH/xAz0VBUx4wRTf77Fji4V0ifiZ799PC16qjDFji/e/9gPYgZq\nY0NmppvusdjRpUJ6oQaMI+bY7jkhdkCBBTeCKCAm3ODfKNGB7QpHnmsAISXt33ISeE2fW0h2\nzH4rytX874kdcIPIGmOZWI+jMcXrRcRmh0hjfn2LHbmFdHRoLGNr1nf60aIDIeEW0o2WQz24\n6DxB7Hjz64kdL0APMUsLfURn0POz2upMCq+QTlRldQexNVtjCkNWCOIWEk86dA5mWd9haYlR\nHDl2rTNGSHRuouiv9zR+YP9a68grpHvYo6mH2RplZ+Qd1hwICa+QbJn9VvzFTi1vDLNE++lC\nh0vnycYiRtkQY0fKzbNsh7WOvEKq0Mir+IWkNK1kzYGQ8ArpMPsNyBNzJMZ+KHS80suEDpfO\n/zgy+xpnZHcRo+SikMXvQV4hxQ9RAkK6Pd6aAyHhFdIn0Tbcp/ppPU3kaBc94nY0BPEdR2Zf\nw3jLvow/SAgaWqxXyyukprVS0oTkbQL5fc8rJKHboYN5UGQ6Q2WnqKXR7HCViDTKD+wf/EFC\ncLPFkFxeIc1k4674hfQKg6xPyCuke3sAOWKWj/KIjMbmKsNtHW+cgAvYN2woVuvH6sIJr5CS\nr2Mlu7KOzVjdy9YcCAmvkG4SPA2dyYWoLwWOltBa4GBBVH8Jf4zp7fHHCIXVkFzudaQr88ow\nxopOB71s5hVSreeBHDFN40cFDjZQWC277HQSUB25r03lrT/Ia60fRIjQ+X2nrQ2uCqeQEm2a\n/fYxSeS+hsYi82IHcdcA/DHqiAmfyMUedtJSP14hPb/C0rA6cAppU9Q5KE/MsjqfuCor3vwf\nCBsrG7OuQx/iql2fhefZNkv9eIWUt6ilYXXgFNLDzaEcMc0pj7X/gxX+sSPbip83SqMPcVBw\n9ZgsilhLJ8Mf2fCNpXG14RRSawHX8GrUsrgOYYHPo5KEjZWNryISsYf4IK8Nuc3SuNZabhde\nIaU+Unbxz/+e8WNp/NDwCemSfbdIijJSXMnTl6oJGyo7fzDIwMqQPCk4ajGLvmMsdeMVUtGi\nESwdS+OHhk9IG/MITisYzJtFhO1smGjLXhEfKVGfYw9xxyDsEdS4z1poEq+QRmZhafzQ8Alp\nqk3LK2n8zUA3lGjRzYYdpAEqoBdIbjkTewQ1FtS21M2NO2SbPwzmiAUqCqtdW0V8Qsp02qD/\nhW3IIJvOujhLd2cuFNL5qE1gjlhgyEBBAyUJjaLIxpChyAOcYHuRR1DlR2sVp3iFdFsWVoZX\ngUtI62LtKYuczitlBA0ksixEDma0Qx7gywjb/ocWiwTwCiljpoGVh8ydxCWkezvAOWKBn0Xt\nhbK8K5qfJZCbz0Lxsg2ZuDK45m0rvXiFdNVP8pE19TtAhj1zCanRY3COWKHUUjHjzG4iZpwQ\nfBqNnO1skl3h+z6azLHSC+oe6b9y91oZXgUeIZ2OMP+KQOkLueleg+GQF9Pm+IX9hTuAfROS\ninLrKCu9wCYbRkHuH+ER0iqB0W4heVbQOmlLkYHm2Un0INdIrvQKrn0t7u9qpReYkIbHWhle\nBR4hjesG6IgVdrEjQsYpaulaHoZSb6KavxwhtJh5dhZaypcLJKSUjbFWM+uFgkdIdYTVwVIh\ntZCQknanRWUODkWLx1HN72anUO1rssFStWnu6O8A0YxBfkZxCOmEZzugI5boLqRExBYPd+V3\n6/THLRfwFsqeAoPsZ0ct9OIVUo90hq63MLgqHEJ6q6Ad6fOzMRvyy1mVpeLLmmUxpTOq+YRW\nqOa1uezZYqGX6yIbRoiLvlbjmwjoHcOhmNpRwCBqIBcpGHAXqnkdiq+00IlXSKcyVqAvQL55\nOIRUzaYtykEkxa8TMEofa+H+MKy3FpBmlIbzMK3r0cxKoUDuyIal6Q+mQabftC6kI2wPoB8W\naTdFwCB1nhMwiBo/MswCNqlCPolUsXQDyCWk5cuXs7uXp7GkXpyF0dWwLqRlRe0odJKDhwUU\nEU6N/Qh/EFUuWMxsYIzD+BsHtXjAyg0gl5BYMH0tjK6GdSENuxXQDat8Go2/s/A3W4p7ZmIx\ns4ExPoqxdcLoRSt5ermEtG7dOjZhXYAvIPMHWBeSuN1AGlyM/gx9jA/tfbM1wryLsafsUyYf\nxVi4quG9R+ryifkxz287qJPj3rKQfrMrsU52miWgD2E1IygQqOXUR9p7WfGTlbTjYNPfT92v\n229RWjWfXzr7rgNjJmpmnrMspMU2ZYzOweQb0IcYDXkpbZ6JNyIabzsD0bg+VzwWMmNxC+nv\nZc/4eaJYCd1+1/s7HivCqg8ZXo/V08roZFlIg+yLiA7mgzj0RFkdhBaQycUzmIvOJXAj+XQp\naWF8XiHtLJg+1xA1X7dfmpCGsZm+i3vvXJag0dKykMossdYPmP8irCyOm6Ls69gjaLK6AJ7t\nM1ar5kHRwsKONl4h9fbM31i329a3qvfUX6FLE1LVOmkNvXWbarS0KqSfbKrUl4t6ljaHmeCi\nZyvyCNrsZJB5DLNjaxShn4EWAit4hVSqnu9rvoGi/Bmt/wmZJqT49IRlt2lV+LMqpBfKW+oG\nzxjsHZ67mIgwJHX+ZbvRbL9m939xmoXoK14hRQ9VlO8jLypKJ/376zQhNUxfrGyv9deyKqRb\nhlvqBg966OxbQuq4aoCYwB85IlYfKxkjeIVUurt/G9YGRemvf9F8Pbv3pc+e8KzyP17PtEqD\nWBSSt9gbVrohcBTxAzuNmUJrbIagzgI00zfdg2baGBstpKTgFVKfyFVXldp3K95KZXX7DYhJ\nm5bIrygX+kbk01rwsSikPbaVMMhFFbz3WRqDBCWGUKU7XlaF6i+gmTbGQQspKXiF9EMBtliZ\nxPq2ZgYi/VL/2rRkWr+W/nK+rfdrNbQopGfsyiqfm+HIa4qNsWcz9Bh9C5blJPzM4jokRnxt\nug/3OtKhGZ8pZ2+KZp3MbA5O/Dv3sWNdO2ZSy5qQboLMP87HayVx7RdYg2tflzloycD2C8p5\noUFp87cIQJENFwzWqT+/J2PW9OjhHKcuzpuTyc2WhJRS6C0LvXD4lR3ENP87rnkDvF0My/Iq\nxCUqg1xvPoW/0NKXP7dhzNMn8G3UXGufrbVLu+0e23L45qY06tLwcxXsqsOVwRaGFeH+uH31\nFjO4zfwdqMjSl0cKspYDSrAyf/ifIAjpyToWOmHRfyim9RvsnthSjqKFB6Nn6NdnuvlYSZGl\nL4cx36Vn6kTW2h+ljiCkruMtdMJiIWZ67LPRdt+PK160jYVNrez0hmWx+X+eyNKXVdNyw6Te\nwvxlquCFlJxvlflOaOxlISZUoFhRyOZssj6qvYxj11tgNY5hE3wapbPPJzciS1/GD037dSx/\n8TMYQvo2wsasgrlILYI489HPtsKQWWCFn//DDuAYNsEh9ofZLiJLX9arG1gwXshuSkUQ0qxG\n5vsg0mMsmulkMblctcGq8vpZtE212oNIijBdw01kXrsH2PC0YmjebmzSRXgh3WBjBYMQzG6A\nZvrjaLzQa8NgBSlZS70NjPlNKgBCStq/5aShydiL9Rir6F//ONWCFS4ILaTEONBkr9xsjkB7\nt4+xO6rTzzL9mDBLjOuNY9cUrRPM9uAW0tGhsYytWd/JSC3vpGfal0rL/H55RinNeyorQtoU\npbl7XTiJsRuQLHvL2R2M5ufLCJxLsI5TUcyaY8gwsz14hXSiKqs7iK3ZGlPYXCqylN+/0Dhr\nRUgP27+Ol53WWJvBd3iQy3wZ4jDSJsqyS1HMmsN8kVz+daRHUw+zNcrOSMhwZCtCamVvEoPc\nTGuNZPjhxkiGTXE1Suuj0DIXbN76G+DVCmZ78AqpQiOv4heS0hRyAdKCkC7FWEgMhsqGGKTK\n3A3MR4JhUH4phtXtzGDYJiqfR5pdqOMVUvwQJSCk27W2jpvFgpA25sHPbmqOs5E4Zef+8CBv\nGjRI60cwrC5HDps3hvk8trxCalorJU1I3iaQ1xsWhDQV60LKOg1mo5i1P2A1wGCUff3T22NY\nNUtypNnrVl4hzWTjrviF9AqDnGyxICQByU3NMhYnA0oH2wNWA+C85fuOxrBqmvKvmezAK6Tk\n61jJrqxjM1b3smk76pgX0rmoTYDjw/B2IYzKGGeiP0WwaoHFlTGs1rG/vpUf08leudeRrswr\nwxgrOv28aTMamBfSujikO3sO/kGp1bTSAQGraXwWbTqyU5+UmI/hjVpg6BCTHSBChM7vg86x\nZl5I93YAdgGCShgLp/0dELCaxh8YVYx+MR8uikJCG5Md+IXkPfDBwvf2wt7/mhdSQwtZZtEZ\nMhDeZnKht+GNWiI1FuHLY228AwrFKRZKXXMLaWurtD0ULUCTXZsW0mn8ZNsWWFQG3uZGJwSs\nBqi1EN7mXIeE8G8yGwDFK6Sf8rMeC1a9cBPL97NpO+qYFtKqfA65ccjGAXYY3KYjAlYD3DgJ\n3ibW5gyzmK6+ySukm1mglvoK1se0HXVMC2lcN8DRwfAWWw5u0hEBqwEmIdRIaumMqA3lapTJ\noou8QipzXfqD5pCXMaaFVGcu4Ohw9AJPtLfTEQGrATB2DhV1wJbFNCqazALFK6Sy/dIf9Ctt\n2o46ZoV0wrMdcHQ45oHnNXr4WmiL1vkYvoztCZQVAyu0f8hce14hDSkVWEC6VBYyha1ZIaEX\nf7DIVs9JYIsOCVhN4zf4W8CvIiDX9XkYPthce14h/Vy4rf8z5FC34pDz/2aFNKIX4OCAJMcD\nFz/50/MDrEEeUvKAx1gsQomWsMIjrcy15xXS0DaMlWpczsPKXu/HtK3QmBVSNWfEleSmvX6J\nalMsKO+MgNUA1V+Ctnhvd2iLVllm8p6fV0glsmPaVmhMCumIY66sczLjOv02ZujgpByYSvfJ\n0Ba7OSaBzVcRWtXCcyMyi5BxTAppWVFnLIfnZmP0JUhzZ/OYnJTF5R7wPCWVXoG2aJU/2S+m\n2rtCSMOQixFZ5wJsUPqKgvbnfAviubrABq9Emi9MhERKtLkd19xCSvl9ezqm7ahjUkgVXwQc\nG5bGsyCt9UcI3uNgQxzwlcBuBj3LaZ3K5r4ceYW0tyoznLLYOOaE9BtaYQR+JnQBNOacgNUA\nB6Hzm79dBNYeDx0eNNWcV0jtWKdZ8wKYtqOOOSEtLgU4NDDv5gPctOOggNU0kqF3Uz5id4np\nIO40F/XHXR+pM8Z8rDkhDboNwQUgjrOdcMbGOidgNUDlxbD2Bt4Ja4+HR1uaas4rpCrgM6B+\nzAmpDGpxPE6qPQdmylsOYd8CF50fgLXXEPKyhpPl5q5zeIU0qo656XZjmBLST0gpP2EALG++\nE2FXBh9j+oKaS41fB2qPi80eU8kLeIV0sWnrDQcPpWHajjqmhPRCecCRwXkVLk+bkwJWA8yH\nrbhxmEG+iTj5m5naYccrpGMNbJ+1u9V0wnOR/AL35miUAGUJirV5Qe+QEcLJrZMaY6q2J6+Q\nerFm900PYNqOOqaEVMs5W91CUdJshjQ1/vTsArIExgF2FNLcs9ALvFxUMxVJyCuka9raPmtX\ncA2CB3D0hZqJclbAahqJsJEIoyC34nDTyVTKU14hVZ9iursBzAjpCnNC+QJ1nqkOZKijowJW\nA1SA+rpNo53JzXS43D3ATGteIU24FiFLoCkh/e6QTGhq7GDHQOychd/9w08HyAt6pcSbkNZ4\necxUwS1eISV27bnlxKk0TNtRx4yQtjDn5VgN5mr+90DsvOWsgNUAI/vpt8nFaZUIvTNsB5cz\nwKwwtSmIV0gF89o9a7e6EODAGHSGyVo1wNSVhiDmWZmRr/l46ONbPRZKcOOxxWNmCwyvkMZm\nYdqOOmaEtLA24MAYzGwKYSW50FsQZoBZXcB8H29ModAhg6+ZzW6KyxF2wERr+fcjzXBEQR0N\nvoiC+KD9JPosgBVofmQnTPc5yfKGLlH2QEded0DxmqqmDSCkpP1bTgJPzJoR0l0ODllN4xLI\nLMHYTgBGwLkcYf7ts4vNKRiyvGUvh01L1jCzQMktpKNDYxlbs77Tj6bNaGBGSD0ds81fjeYJ\nAEYqOi1gNUDZZaa7rItPrvxwqBOm3rgC6GJmaYdXSCeqsrqD2JqtMYUha3yYEVJjB0UMh+Y+\ngJIzzgtYDdAupCQ0ebm6siRfiJ2wydGfAzgEiKkpSV4h3cMeTfWXvtwZeYdpO+qYEVIZ8Pza\n0KyJ55+4TnBIlYac3GU+6b3vpjaleojtp/vZEQCHAJltZpaIV0gVGnkDVc2bVjJtRx0TQkqN\ndlRinVCc8nzPbaMhSglxfmY3M91l+BBFWZov9yTFqgIOC4F6q5iJxrxCih+iBIR0e7xpO+qY\nENIJtg9wYBxqPc1rwVEZVoN5t7DpLp2nKkpKjdxbAh83r0lctpqJ+OQVUtNaKWlC8jZpbNqO\nOiaEtIdB192E5+6beS04MGA1wA/m//y1n/f9WJ4311fS7beDeATHMTOf0bxCmsnGXfEL6RVm\nKlZWBxNC+jiPQ99iQSy7htfHjuNAHIHngvnL1oKrfT9SauXKUdDsCRCP4PDGrzfemFdIydex\nkl1Zx2asLmQZARNCet3R+2MD/M6bL8yRAasBSq4w2eEi2+b/tTI259RCmsAcRa3njbflEVIV\nf1TQlXllGGNFp583bUYDE0KaYypG1ybKcmbbWenEgNUArczOgvwcmJxLrTcx+/F/TEXkCKGb\nicw+PEJi6akvzu+Dvk0xIaSJDq3oko3+Q/n6D3BWhtVghg0x2eGzyMB+8v/F/pP9eJTjPixG\nm9hoCCEkeEwIacAILCcAWchX9ie50EogR+B53Gy9jTfKBn6n1s9+3/cC1AZIOJ40MYEmvZDa\nJmA5Achuvty+nzgsw2owb5tZbPHzRIv0B6tisv1Rxjvv0uIdE3P7XELqeSoY03bUMSGk6i8D\njotFaiGuGsPjHBmwGmAHMxmVPjbj49fbZEzw8U7AySYB2MGMf4BxCSk7pu2oY0JIDk99kk53\nrunrygug/IDnrNltrb3vyXj0QZ7gJAHlQNM/gPCfiXzTXEIq3DwY03bUMS6ky4w//EYAjzfk\n6HzB8x2YI/AUM1kho8nczIdNg+5vL3gcmMOm0LuGm8p+j/Qb+xPLCUi+juDYlreDhdy+4xCu\ne8xc+6CFp3XRWcmmtzvxRV77pOGmsgvpGw9G7nFwEmNNpe3MzoricI7AM2S4qeZXI7/MetI8\nK+ffcrjUznDcMspwU9mF9J6DSlNpcT1H3qqH28D5Ac8jrU01/5MFbVz7KPJgxsOH2oF5BMcU\n42XiZBfS83WwfIDlgbbW+/a/G8wNBN4091WyhQXHkrXOzNtu4sNfHC9VM9yUR0hjgctMZWFc\nSNMBdp+KYF2s9UvQhk8BOgLOd8xUdNg7RYOffRKZUfKh7jNgHsGxMdpwVn/ZswjdORjVETD+\ns5AlJB1vPgdVDcrNf8zUVqln6md72ib9/5cS+zGYR3D8YjyLr+xC6oFSMRCBesYngHLwF/sF\n0hFwihifI/YxuXu2p59HBkJVDzky8XRy5BdGm8oupGsdfdkTxOgbrfb8NDoZ0hFwms0203pg\njhu+doF43LXxKnmM7aXCq0Zbyi6k0o7Ku67BisJW3ykLa4I6As6gu8y0bp1j28U3EXv9v+Y6\nM7lLe8P1MSQXUmqUw1I4qfI3s5r5z4HRnNl42NTEdeWclbM7pCW9utOZG0XuMJwkSXIhHWf7\ncT2Bo4KpAnBBdEYpQQXHsrImGntzrUx/G7Hb9/N6Z2ZJmtVCv00AyYW024mBJaG5zWpq5fKG\nr9Pt4VszVRtOsb05D3Xu4/tR1GTEniCMB5VILqSPYpyf+iSdl8x8cAdxOeIbWEegOWHmovWH\n3J982z3blZNsD6RLYBjPyCW5kJZWQPUDkn0Ww2t3M8idXhiY2cmyPkT6w+69lK8jIHPnwHEi\n9xeoCpILabbha1jb8RY1m28nwP8cH0147Vz9Nhm8HCLoZodn2yK+vfh45H/fYEPJhTShN64j\nkNw42lK3R1sC+wFOv5HG284INcV3Y897u4c47ATqzTfYUHIh9TfxP7SbuXUtdRs8TL+NvZiJ\nd7wz1JTLLk9FmPKg8PQyurVZciG1ceasaUi2eCxlLWsyB9oRaF6rYLxtl5CZGXqzRUC+QDOp\nh8GGkgtJitQn6STFrbXSrYDjEpDm5OsI43Xl6z4X6ugex85MPl/LYEPJhVTA6L2gE2hnZWX1\nqPOXnI+ayJFaeFXIwwecuoqxPs6gZ3IL6ZIcqU/SecjKtMEm5yUgzYk3n+Gv2kvMyXlcQnDA\naPUzuYX0qxypT9J5u4SFTi9XBfcDnAZGp7aUg3yZMsVz2bPZWEO5hbTZ4/iP6yC+iDS83zKL\niUbvdm2k71ijLT+38iewldIGq03LLaR3r0F2BJT9LHe9R1263QvvCDQPGM4R8obFOCn7MFpt\nQ24hLbC2NGMTp6zspKjs1InhIF4xHJfwhAxFeLJx+1Bj7eQW0oMdkR0BxWuhbnRi5FcIngDz\nRaTRK+yxfVAdQSDBYLYxuYV0h9niPPZSynx1ln3sOIIjwPzNDuo3SiMr8bcsLCtjrJ3cQup2\nP7IjsDQwn3JqVUEEP6Dxxm0w2LKp5RQwdvG1x1hcutxCavQ0siOwdJ5mussTzRD8ACd0vEII\nSsmSYiMToxU55RaShWslOxl8p36bHAyV4uLV6BVbtsTfcmD021ZqIaVGGU475gju62m6SwuT\ntR7sYbLBXRB/sUO4jiBgsLS51EI65rxC2Jo8af46zVz2Rbt4yWD9163MRHoHh9Dd2EKe1EL6\nwURpQifwegWzPYxvdbaVT6OvGmr3ruN3++ZmnLG9o1IL6cNYbEdgMe+vU3MZ5OAw+02/kY9n\n6+u3cRpPG/NZaiG9VhHbEVh2snMmeyyW4xWmxmw01O7+bsiOILAmn6FmUgvp8euwHYHlb9P3\n2pO7ojgCTs2FhpoNNJXd2BnsYSeNNJNaSPfcjO0ILEkesxtBb5yA4gg4PY3lXGiTgOsGBheM\nbaGSWki3jsF2BJjCZreNV38RxQ9wJhqrtVEFrTQdIsUMLVZKLaTWM7EdAaaGyfzfydGS1AhY\naCi1gTf2Q2xHEGhuaClPaiFVfQXbEWDamFT+z+wfHEeg+TjGyIa9EIm/JWCgoXgUqYVkPFeA\nQ7jF8FbSAB/kdWpSkBz8aqjg3m5mKSGZzUy/wUgrmYV0gW1H9wSWsbeYaz/3Whw/wEnJY2Sr\n1YY4dEcQWGJoCUJmIf0iWyYNZabBXWIZOLT8VgiqGUkwuEiCRC65MbZtUWYhfS1V6hM/L9cw\n196h5bdCYGhnmLnafk7hsKHVP5mF9E4xdEeAWV3IXPtr3sLxA57xRpb0Qib+djwpeYyEbcgs\npOfqoTsCzLcs0Uzz02wXlifQPGskDU0XhxfxVKGqkctWmYU0rRO6I8AcMndXt8VjtF6c7ayP\nM1C03fBGWmfROWTi/xzILKTht6M7Asx5tsNM86XlsBwBx1AKVZXE305n5K0GGskspK7yXSnE\nmVranypPtrHkqE26baRL/J3OnMYGGskspIaGU047hgpLzbS+2eT6rZ1U1g+jOyhLnEYO3jEy\nRSSzkEpKM6eVSTNT6ahqL8DyA57OU3WbfBFpbB+t09hhZCO2xEJKidyE7gg0Pe8z0TjF4HY5\nRzBGP2hjucFci07jDNup30hiIR1lP6E7As2dg000NhbA5hCebqjbZLYUOfpCUNhABhqJhbSL\nnUV3BJoHzczYG5pSdgof5NONrx0nXeLvdK41cEEusZA2SJb6xM+zDUw0Nph2wxnsZ8f0mtw8\nXoQjCNwySr+NxEJ6tRK6H+CsLGmi8Qgj6xdOITFCt7RdU8fXZ1dhSmf9NhIL6TErJVlt5vNI\nE1drbWfgOQJP+aV6LUovF+AGBi8ZiFqXWEgyXnL/yE4Zb1xSqozzN0zXaSDjLGuAjdH6+38l\nFpLZ7aZO4CTbZ7jtObn2LY7or9Pgb/aLEEfgOWRg+lRiIbWahe4HOGbS/m8znU7SVubqBdJs\nZReFOAJPcqT+f01iIUmZ26mE8WiM5aUQ/YBndQGdBu8VFuIHBhWW6DaRWEh516H7AU994zsJ\nHpJrP+levYyk8m0fy6S93v2fzEIyuSXBIXTU/5dkcOtIRD/gueTZot1giiTpl0Nw5yDdJvIK\nSc5Y4tuMZ7+uL1lwe5k3tM8PkjDxdzqPtdBtIq+QvopIRvcDnnuN5fb1kWq4wrFDaJvAd97B\nrCyu20ReIb2t/+IcyJzmRlseZr9iOgKPXmqTKrLlxc1iKzuv10ReIclYtMpMSaeP80i2e0ev\nALts37BBnGB79JrIK6SpXdDdQMB4stHn6mD6gcA72tPb/+q/GZ1L/vf1WsgrpGFD0d1AYLux\nrOY+xsgWAfWDdmbvPexfUZ7Aoz/xI6+QuhhJkuQ4/jJ859NhGqoj8FzwfK91ekOsJAUBQtFL\ndweIvEJq8Ay6Gwgk6q22ZFL2dVRHECi5QuvsK1VE+YHApB56LeQVUvG30d3AoOAaY+0uerbi\nOgJPK83qTwltBbmBwQLdQmrSCulqxJfobmBQfZGxdrvkqyU0TDNh51360QHOZb3udam0QjrC\nDqK7gUGrR421e0u6CgHKLM2dlhKm88ziADui00JaIe2Ua5NBJn3HGWuX0ArXDwTe0lwirydn\n4u8AVzx6G+mlFdJ642sNXgAAGcJJREFUKau/KcoYg4kYBhiqXOootmumdSr8njBHECi9TKeB\ntEJaUhndCxQeaWusXaO5qG5gcFYrkeJlJt3kSTCtEnQaSCukWdeje4HCizUNNfPm+wDZEQSu\n+Z/6OfnqlGbjdr3KJ9IKaWxfdC9QWFXEULO/2c/IjiDQ4jH1c5skTfydToJe9V9phWT0pt1p\nbDZW+PazaAk3iQwern5ueWlxfiCwTC9vubRCul7j08/J/GJsP+ILJss2O4JHND625zQV5wcC\nmz2XtRtIK6TK+vkoHMlZY3Vh77kJ2xEE3tRI12KoWrNz+Ycd0G4grZDi16N7gUPsR0Zadbkf\n2w8EvtPY/9ZH0kvxdLxxOu83WYV0zkjNGkdSXm9FIo2KMn7h/st2q55rNlugIwjUel77vKxC\n+lk3ZsOpNDWyQHQlUjclvRPRWHQtI2vi73R63Kt9XlYhfRkh62xqj8kGGu3RSxLnTNTrTaQY\nSFbqaMb11j4vq5DeKoHuBBJ3DDHQSGfbtlMZeLfamX8kjTHORK9YlaxCkjP1iR9DuSYMJFJz\nIjOvUzvzveEt9g7l/Xza52UV0gPSpu2cr19sVVEGD0P3A4MvotTCVlfJ+RWbhd7FtqxCGirn\nO83HCiNL/E3lnONKyqsWIfhcXaGOwHOBfad5XlYhdZ6K7gQSn0YZKNpXaDW+Ixh0VVstmiJl\n8rRgiq/UPC2rkOo/i+4EEnsNpKU6xvYL8ASBp9Uim26Tb3tVDpprx6SJF9LFP8/p5mXSF1Ix\njYh9Z3NcL9jEx5eRVwR4gsBe9mfoE+0eFusIPAO1PwqECsm7c0KVvIyxuCr3qC+B+9EV0tWI\nr6w6YTdGSqkukjV1lbfUq6FPVDWY88W5TG+veVqkkJL6MVaoSac+nZoUYWyI1oKqrpD+kbYe\nqe9iW//L9N7uAvxAYfCA0Mfj5U38nc6SCpqnRQopgbXYHJBPyved2BMaLXWFtEO/PIBjqbdA\nt0mPSQL8QGHZNSGnUk5rROFJwheRmhvJRAqpYrmsK/+r9atqtNQV0rq8Fn1wAB0e0m1S5WUB\nfqBwzBNyl8hedkq0J9D8wQ5pnRYppOjgBDpj82i01BXSYi0ZOpxBqnE0GSRFbRLgBw51ngx1\n9EOZE38HSMmzUeu02G+kxMzHKY20sgDpCulR+bK+ZTKxl16L/eyoCEdQmNgx1NHFss6eBFH1\nJa2zIoU0M+seaVsnNkujpa6Qxtxi0QcH8IRuHN3qAvJ+fm+IDbUnO6GNcEfA6ayZKlakkJL7\nM1aoaee+XZoVZWygVnIPXSH10S2z4Vxe1c3IN1vi/AYXYz4JcfSugcIdAWeUZmpPwetI4yvF\nMsZiK43fqfmZqyuk6x636oP96E+UDBsswg8k2obaJN9Nxp3zOXiysdZZ4ZEN3nN/hI5s+Ktm\n5UyK6Qmpksq6nwxsYxd1WlynddnrdB4LFd0ub0RXFu8W0jorWEjn95xJf3T0cI5TycsWZTKZ\n6SR/i//Qug928wf7XadF0XeEOILD954TuQ8WeVe8I9DsYP9pnBUqpJ/bMObpE0hd21zLyrc6\nQjKY08qZXNHLgn1K5rLFSkqRt3Idkzzxd4AzbIfGWZFCOlKQtRxQgpX5w/+ES0g/STw/rCgF\ndNJ6fxNxSYwjOPS9I9ehQ+wvGxyBprDW16pIIQ1jbyhK6kTW2h9FwiWkTdKmPvFT7RXt8zpR\nXU7n5bK5Dn0ZIWEC5lw0DrnWnI5IIVVNW0VNvYX5Zwq4hLSypEUXHMH1OnMJ93cW4wcSh3Pn\n/9dKwSoPt4zSOClSSPFD034dy1/8DKeQDOU9cCx6i2A3SbxI5qdyrlyKT0q8MJbFFK0POJFC\nqlc3Je33QnZTKp+QpnSz6IIjGNVf+3yNhWL8wGJkrrzl9+gkhZODl7QCPEUK6QE2/Lj/t7cb\nm3SRS0i3a9QPcT4J7TRPX43+VJAjSLyXP+cdUZ+xtjgCzMboFPWTIoV0sR5jFf15Ak+1YIUL\n8gip04MWXXAEL9TWPH1Q7tp2inIm8pscR5prbT6ThkPsD/WTQteRkp5pX+oH/4PLM0oxHiFJ\nXSFbebeo5um1eeUNWQ3QLCHHgbJv2OEGNMlaaZftyiKU8rtWLmg9IV0j89K/8rVHczJ4XiNR\njmAxvWX25ylRn9vjCDAVNEqEODMdl46QkiO+RncBkYPay8l3qaQ9kIcvcyRclT7xdzrtp6uf\nk1JIf2vv+nU6Z9gPWqdbJwjyA42kfO9ney594u907tTYDCKlkLZJ/o+J/VjrrE5KTxnonn2W\nbrVm3LQ8aJU2kFJIa3UqAzidclr33mekrUWYxfzq2Z4uqGOTH8CsLK5+TkohvVIN3QNUGs/T\nOLnVI/fXrZ8f2eHgpw9In/g7gFaNXCmFNFOjDL0MdNfaL/p6GWF+4FEm2/zW4Nzx4FJyQmN/\ni5RCGq25e975DBuqcXJaB1FuIDIkWxRUuxl2+QFM/jWqp6QUksypT/xoVknrO1qYH3gsz5Zw\ntbpmIiuJqD9f9ZSUQpI59Ymfp6/VOFlL6qiNdI55gneT5l1nmyOw9FYr/ySpkCq+hu4BKss1\nboOSo10RBVA3qL75f9rrZhIxqYfqKSmFFPcRugeofBKtHk33Izsm0BM0JgXd6bkg8Xc6C2qp\nnpJRSDqRAc5nj0Y+mrdlr1oc4MPYrLwTH8XIHoWbwfpY1bKlMgrpgOwf2sfYT6rnHpZ8aj+d\nSzFZKeeX6KaWlYUD7IjaKRmF9EWkxgYrGUiJ+FL1XF+txAAS0W5y5sNH3PHZ4ONKxGa1UzIK\naYX0qTSKqW8DqalfhkwKHm+Q+fBuFyT+TqfMMrUzMgrpaek37NTJlR4kgySXbN1Rtnkyr7+7\nT9ZqKBWtEtTOyCik+6WtsJrBDapL/XvZcZGO4JF6zYqMh/WfsdMRUG6/Xe2MjEIaIn3o1oCR\namfe0t6GLhG3DMt4JHUq8+wkqBa4k1FIHTU2KsrBBNX0VDNcUJErwKKMVecrni22OgLJstJq\nZ2QUUl3p78cfb6l2po9LJu38CVcPBB78yv601xNANntC1SP0I6OQikpfI0S9pGoN1WkI6aiS\nHjTojsTfAY5kfDrkQkIhJXlUJ/NlYW1+lRNJUVrJleRiVM/A7xVSJ2rPjjduvcoZCYX0F/sV\n3QFkvmcqhVtcM2nnY1V6wtW5TWx2BJJaarcVEgrpe93SkY7ncPat2Fm4Z9LOn3A1kDRtQi+b\nHYGkxySVExIKSfbUJz4use9Cn3DPpJ2PFoHVslvG2OwHJO+q3Z9LKKSXq6ufk4X8a0Mf7+OG\n7bEZPBTIXtXCFYm/9ZBQSI+44FO7yuLQx2Wv6JKNryLTdouUVY1PcxMSCkmvvJAMtAy9WT7R\nRZN2/oSrq30/U6M+s9sREUgopN4T0MdHR+U17GEnBDuCSg//3dGR3JUw3YiEQmo+G318dEaG\nTpS/8hrBfuDyrD+R5zaNrIouQkIhVViKPj46M24IefihtmLdQGY/+11RVhe02w0hyCckr3YK\nejl4PnQ27JvdNFPso+xi30vVrk/oFuQT0mm2G318dN4JfQ1X3U2Tdj6G9lOUqVq1wN2DfELa\n74Yb8q88V0McTYzaJNoRXN4smqoMkbpwtmHkE9LnUaopkeThp5CJkHazk8I9QeW4Z4fS3i2J\nv7WRT0hvqu6tkoj/Ql6fumzSzkf92Ur1l+12QgjyCekprcTZsuDN80mIo9PbivYDm/tucE/i\nb23kE9Jk9fzLElFmeYiDvV02aacoH+f5h+2y2wkhyCek2+5EH14A1z4d4mD1F4T7gcylmKfc\ndt+ngnxC6vgg+vAC6Dol97ErkZuE+4HNDXXzuCXxtzbyCamOK9Zahg7Lfcx1k3Y+ZrNKdrsg\nBvmEVOQ99OEFECrJ5QrXTdopyg6mmgnOXUgnpCTPN+jDC+CpxrmPTW8n3g9sUq8JHZ7rOqQT\nkgtSn/h5o1zuY+6btPMxaq7dHohBOiF9p5aARy42hrgHr+a6SbswQjohvV8AfXQR/MDO5Dx0\nJVK9ahLhdKQT0ks10EcXwdHc+0Z/cOGkXfggnZAS2qKPLoKrEV/nPLSiuB2OEDBIJySVTdrS\nkTuB+YPt7fCDgEE6IfWaiD66EGrnmlnoNdYOPwgYpBNSsznoowuhXULOI1VftMENAgjphFT+\ndfTRhdA/ZyGkK5Ff2eIIAYJsQvLGbEQfXQjj++Q48AM7ZYsjBAiyCelftgd9dCE8dn2OA2/S\npJ3MyCakfW5ZbHmlao4D02jSTmZkE9Jnbkh94ueDnBEavcbZ4gcBg2xCWl5G5YRsbGU5yvrS\npJ3UyCakeSG2H0jJ7+yPbM9p0k5uZBPSfT3RBxfDJbYt2/NdNGknNbIJ6RHXpBvMlz1N1Zsl\nbPKDAEE2IbmHyq9mezotdH0KQhJISHaRo7TqTTRpJzUkJLvIEX1b5SWb/CBAICHZxd2Dgp9d\nicy1P4mQCRKSXTzUIfgZTdpJDgnJLhbUDX62vKRdfhAgkJDs4n/ZglSn0qSd3JCQ7GJTRHDR\nvhvH2+YIAQEJyS4OsONBz6qERzku90JCsot/2d6sJ5dyJxUipIKEZBfe6E+znuykSTvJISHZ\nRukVWY/foEk7ySEh2UbD+VmPp3ZQb0fIAAnJNrpMzXp84z32+UFAQEKyjduHZz2uTJN2kkNC\nso2g8uyXIjbb6AgBAAnJNuY2yXy4g5220RECABKSbSwrn/nwjVI2+kFAQEKyjY9iMx8+QJN2\nskNCso1d7GzGw540aSc7JCTb+If9kvGw8iI7HSEAICHZRrInY6ruUsQ3tnpC8ENCso8iq9If\n0KSd/JCQ7KNmRpLiZTRpJz0kJPto+0j6gykdbfWDAICEZB/9Rqc/6DnBVj8IAEhI9jGub/qD\nSjRpJz0kJPt4tFXgN03auQASkn0sqh74vZ0m7eSHhGQfawoGfr9e2l4/CABISPaxhV1J+z2l\nk82OEPyQkOzjV/ZX2u8eNGknPyQk+7jAtqf9rviKzY4Q/JCQbCR+g//npQjz/wLCaZCQbKTi\na/6f29l/djtCcENCspHmc/w/adLODZCQbOSmSf6f99OknQsgIdnIXbf5f/aYqNeOcD4kJBuZ\nnhb1XXGx3X4Q/JCQbOS5+r4fFzw0aecCSEg28lYJ349tNGnnBkhINvJFZIqiLC1jtxsEACQk\nG9nHTirK/Z3tdoMAgIRkI6fYj4rSfZLdbhAAkJBsxBv1uaJUoEk7N0BCspOSK5ULni12e0EA\nQEKykwbPKN+zM3Z7QQBAQrKTztOUpWXtdoKAgIRkJ4PvVCbTpJ0rICHZyX09lW40aecKSEh2\n8mQzpcISu50gICAh2cnSCjRp5xJISHbyYRxN2rkEEpKd7GDP0qSdOyAh2cnfrHcXu30gQCAh\n2UmSpzBN2rkDEpKtFGY0aecOSEi2UoNttdsFAgQSkq208Zy12wUCBBKSrdxSzm4PCBhISLYy\nvpvdHhAwkJBs5eRfdntAwEBCIggASEgEAQAJiSAAICERBAAkJIIAgIREEACQkAgCABISQQBA\nQiIIAEhIBAEACYkgACAhEQQAJCSCAICERBAAkJAIAgASEkEAQEIiCABISAQBAAmJIAAgIREE\nACQkggDAmULazghCMrabfpvjC0nZvQOY99jC5Xi8xh5BtL68wHhM65UGYVpv0gXTepcmmNYH\nVTPxDttt/l0uQEjg/MSOIVq/zL5DtK4UewfTeuOnMK3fPAHT+oSbMa0/1RjTOgkpNyQkVUhI\n6pCQckJCUoWEpA4JKSckJFVISOqQkHJCQlKFhKQOCSknJCRVSEjqkJByQkJShYSkDgkpJyQk\nVUhI6pCQckJCUoWEpA4JKSckJFVISOrIKKTfPP8iWk+K3IVoXSnzPqb16xZgWu9/P6b1+/tj\nWl9wHaZ1OYWk/Cax9T9SMK0fuYJp/dQ5TOvnTmFav3IE07qkQiIIp0FCIggASEgEAQAJiSAA\nICERBAAkJIIAgIREEACQkAgCABISQQBAQiIIAEhIBAEACYkgACAhEQQAJCSCAICERBAAyCek\nAdensQjD9uKCgd/JsyrnqfxoMpJ1hFdw6YH68dWGH/U/RPA9yDqC7/8MqRpfb9oF/0ME34Os\nY75z5BNSakygXsB0BNtXmwbe6t6BrOwtZdgAL4p1hFeQVI/Vub0lK3gQxfcg6wi+Hy3M2g2t\nxRpfRfE9yDrmO0dCIf3F7kWyfHRDVxZ4q+9kza8oV5oxyD3nWdYRXsEzbGiKoixjbVF8D7KO\n4PsI9qqipPRnS1B8D7KO987xI52QNrGXkCzn9X1aBd7q49lm38/NbCKKdYRX0D6QDqal5zyG\n70HWEXyvXCbV9/N7NhLl7x5kHe+d40c6IS1hnyFZXrtmTcXAW71yId+VgHK1UFUU6wivoFTF\ntF8D2B4M34Osw/t+tfZg/6+DrD/G3z3YOt47x490QprGZl8bX/0OnIRcDdLe6t7YJmnPmuTF\nsI7xCn446P+ZWsJzBsP3LOt4f/0n2QK0v3vAOu47Rz4h9WOeZgNrsSKHMIwH3urnWOe0Z53Y\nRQTraK8gdSLrg+Z7wDqS72tGtmA3J2L5nm4d950jn5Ba5n/P9199hHXBMB54q//B+qY968P+\nRLCO9QqO3crK/I3me8A6ku9jGYubm4Lle7p13HeOfEIKkFKdXUAwm/GNFPhbd2KwedzShRQA\n+BV4XyjAWh3G8j3Dejrgf/3EPb3ZJLS/e8B6OkjvHFmFpAxh2xCsZtwjNUt71iQediEpm5Bg\nX8G/3VnxJf7Ukyi+Z1rPAP6vf6VUTDLW3z1gPeMxzjtHOiElHgt8ngxnBxGsp7/VKxX1z5mm\nFK2CYR3jFVxuwXqeCTxE8D3LOoLvu25bl/a7AzuO4HuQddx3jnRC+itwHe2tF4OR+jddSOPS\nPrS+Z/dgWMd4BTPYxNT0hwi+Z1lH8P1XNjTNZKWCXgTfg6zjvnOkE5LSKmKD768xl6EURmiQ\nEdnQOUW52pn9gGId/hWklC6cOc8F73uwdXjfvZXz7PD9fNa/0gPve7B11HeOfELal5fdcFs9\nVg8ln3v6W93bn107riG7Dcc6/Cv4nRVsHuAogu/B1hH++hs9UZ2HNGKlj6P83YOso75z5BOS\ncqBfubjGM3CqLmRMByTNrBh3/Rzo6O8M6+Cv4AuWwWEE37NZR/jrb+tWNr7B5LP+hwh/9yDr\nmO8cCYVEEA6EhEQQAJCQCAIAEhJBAEBCIggASEgEAQAJiSAAICERBAAkJIIAgIREEACQkAgC\nABISQQBAQiIIAEhIBAEACYkgACAhEQQAJCSCAICERBAAkJAIAgASEkEAQEIiCABISAQBAAmJ\nIAAgIREEACQkggCAhEQQAJCQCAIAEhJBAEBCIggASEgEAQAJiSAAICERBAAkJIIAgIRkH2Mz\nS+GxKkpj9pGxXiPuNTnMSHYm17FzxYHr44Y9JCT7WNzXR2HW0/dzrGEhbc5/0vAA69hyJbSQ\nlDlNUWp7hy8kJJtpzk6l/T5y+LKR5t6mk4zb1hDShXzLjdsh9CEh2UyGkAyylZm4JtMQkjK0\nqdfMuIQOJCSbyRCS/+0+tmDixBrX9D5+aXTVfO1/9B9NntU8b6VJQRdzt9fwv/9zN/xvdN28\njSZf8hsqePWR8rF1X1WULv67r1M+y6dnXRtfZ4nvXOrSZgWLtPnY3+ETtl3sC3U5JCSbySak\nvN0a3d+GNWhae3InVs13E5PYktUc3JBVO5bROrXYSP+vXA2PlGdNhtRjNc/6hTS8zJiRedkq\n5ZMJ7O6lV3yWe5cdOyKerVaUR1nBXrfGR3zlM3Ex4lF7XrBLISHZTDYhsR5XfXdBrNUVxduR\n/a4oT7GxKYp3JhuW0XoPW+r/lavhXexp3/3TFDbDb6iG7xvsSzYg69Ku5r+K8ikbrHiLVrig\nKF8FzDVsZ8OrdS8kJJvJLqQtvkf3sQ2+n7P8l15lSl7xPUytE5ec3vqNtBa5GiZF1k31PbxS\nspjf0Ju+h968HbKEtMJvJLaLkhRR+arv0db9fhsDCgl9nW6HhGQz2YV0wvdoOjvo+znPp4/z\nrOthP4PY/vTWc9PO5Wp4kI1LO30zO+sz9Iv/YdEgIaUdKNhFUW5kdZ7ZlxowNZZdEfUawwES\nks1kF5L/8XR2SAnoY1/mgu2W9NZT2VH/r5wNN7FZaafHsH0+Q//5HwYLKe2AX0gXppZkrOSE\nf/3PH2RHxL1K90NCshktIZ1mHdcEyJi3y/xGyt4w4xupLzudMdsdLKS0A34h+a7rdjx9LWuU\nqtA3EjAkJJvREpJSpHnaue/WZ6z5ZN4jZW+YFFnP3yKxdBFFS0i/JXzue+C9wT89QfdIsJCQ\nbEZTSNOZf/VnZ0zHjNaZs3Y5Gt7FnvF920xmU3MIaYkSLKTDrEmST26NIy8oNGsHDAnJZjSF\ndL4Oaza0WWShvRmtM9aRcjY8Uo41G1I3sI6UJaQvWL1pF4KE5O3Bqt9xYxF2j+/pxUhaR4KE\nhGQzmkJSLk9pGFdx2KGs5umRDbka/je6TnyDyReVbEJK6hNb9HTwPdLZadXjijRf7I9XpcgG\nWEhIcrGV7YIxNKwJxdpBQkKSC2/TiSB2Luan6G9QSEiS8XX+ExBmnmxC+5FAISHJxggTG5JU\nOVcc6AqRSIeERBAAkJAIAgASEkEAQEIiCABISAQBAAmJIAAgIREEACQkggCAhEQQAJCQCAIA\nEhJBAEBCIggASEgEAQAJiSAAICERBAAkJIIAgIREEACQkAgCABISQQBAQiIIAEhIBAEACYkg\nACAhEQQAJCSCAICERBAAkJAIAgASEkEA8H8LJd9S6R4wJwAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(t, TS_df$Max.Temp, type=\"l\", xlab = \"Time (months)\", ylab = \"Temperature\")" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAADAFBMVEUAAAABAQECAgIDAwME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\n", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(t, TS_df$Precipitation, type=\"l\", xlab = \"Time (months)\", ylab = \"Precipitation\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Clearly temperature looks more promising as a correlate, but let's fit linear models with each of these variables anyway: " ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "TS_lm_temp <- lm(Specimens ~ Max.Temp, data = TS_df)\n", "#summary(TS_lm_temp)\n", "plot(t, TS_df$Specimens, type=\"l\", xlab = \"Time (months)\", ylab = \"Average log Count\")\n", "lines(t, TS_lm_temp$fitted, col=\"red\", lwd=2)\n", "adj.R2 <- c(adj.R2, summary(TS_lm_temp)$adj.r.squared)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And precipitation:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nQsMRJwAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "TS_lm_precip <- lm(Specimens ~ Precipitation, data = TS_df)\n", "#summary(TS_lm_precip)\n", "plot(t, TS_df$Specimens, type=\"l\", xlab = \"Time (months)\", ylab = \"Average log Count\")\n", "lines(t, TS_lm_precip$fitted, col=\"blue\", lwd=2)\n", "adj.R2 <- c(adj.R2, summary(TS_lm_precip)$adj.r.squared)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Unlike temperature, preciptation by itself isclearly not a very good predictor, as we suspected. Finally, let's incorporate all of the factors into one model." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nAAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "TS_lm_all <- lm(Specimens ~ SpecimensPast + Max.Temp + Precipitation, data = TS_df)\n", "#summary(TS_lm_all)\n", "plot(t, TS_df$Specimens, type=\"l\", xlab = \"Time (months)\", ylab = \"Average log Count\")\n", "lines(t, TS_lm_all$fitted, col=\"purple\", lwd=2)\n", "adj.R2 <- c(adj.R2, summary(TS_lm_all)$adj.r.squared)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All of the models appear, visually, to predict our data relatively well except precipitation. We can compare our models by looking at the $R^2$ value adjusted for the number of free parameters included. Remember that the $R^2$ value shows us the proportion of our data that can be explained by our model. " ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [1] 0.60466498 0.48464800 0.61071860 -0.02908796 -0.02908796 -0.02908796\n", " [7] -0.02908796 0.61071860 -0.02908796 0.66016006\n" ] } ], "source": [ "# now let's have a look at how each model performed comparitively \n", "print(adj.R2)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "\n", "Call:\n", "lm(formula = Specimens ~ SpecimensPast + Max.Temp + Precipitation, \n", " data = TS_df)\n", "\n", "Residuals:\n", " Min 1Q Median 3Q Max \n", "-1.8983 -0.7027 -0.0130 0.5266 3.2569 \n", "\n", "Coefficients:\n", " Estimate Std. Error t value Pr(>|t|) \n", "(Intercept) -11.16975 2.24492 -4.976 2.3e-05 ***\n", "SpecimensPast 0.34355 0.13175 2.608 0.013901 * \n", "Max.Temp 0.19430 0.04536 4.283 0.000165 ***\n", "Precipitation -0.01071 0.03541 -0.303 0.764236 \n", "---\n", "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", "\n", "Residual standard error: 0.9889 on 31 degrees of freedom\n", "Multiple R-squared: 0.6901,\tAdjusted R-squared: 0.6602 \n", "F-statistic: 23.02 on 3 and 31 DF, p-value: 4.967e-08\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "summary(TS_lm_all)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Clearly, max temperature and abundance autocorrelation with time lag of 1 together explain most of the variation in the data. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model Comparisons \n", "\n", "Now that we have our models, we can make comparisons between them using a partial F test and/or BIC (Bayesian Information Criterion) analysis.\n", "\n", "We have had a look at our $R^2$ values, but we should also look to compare them using a partial F-test. This can be applied to models that are nested - for instance the temperature model and the complete model. " ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "<table>\n", "<thead><tr><th scope=col>Res.Df</th><th scope=col>RSS</th><th scope=col>Df</th><th scope=col>Sum of Sq</th><th scope=col>F</th><th scope=col>Pr(>F)</th></tr></thead>\n", "<tbody>\n", "\t<tr><td>33 </td><td>36.96753 </td><td>NA </td><td> NA </td><td> NA </td><td> NA</td></tr>\n", "\t<tr><td>31 </td><td>30.31649 </td><td> 2 </td><td>6.651037 </td><td>3.400495 </td><td>0.04621756</td></tr>\n", "</tbody>\n", "</table>\n" ], "text/latex": [ "\\begin{tabular}{r|llllll}\n", " Res.Df & RSS & Df & Sum of Sq & F & Pr(>F)\\\\\n", "\\hline\n", "\t 33 & 36.96753 & NA & NA & NA & NA\\\\\n", "\t 31 & 30.31649 & 2 & 6.651037 & 3.400495 & 0.04621756\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "Res.Df | RSS | Df | Sum of Sq | F | Pr(>F) | \n", "|---|---|\n", "| 33 | 36.96753 | NA | NA | NA | NA | \n", "| 31 | 30.31649 | 2 | 6.651037 | 3.400495 | 0.04621756 | \n", "\n", "\n" ], "text/plain": [ " Res.Df RSS Df Sum of Sq F Pr(>F) \n", "1 33 36.96753 NA NA NA NA\n", "2 31 30.31649 2 6.651037 3.400495 0.04621756" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "anova(TS_lm_temp, TS_lm_all)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now consider using BIC analysis. Generally, the lowest BIC value is the preferred model. A difference of greater than 2 shows evidence against the higher scored model, whilst a difference of greater than 10 showing strong evidence. \n", "\n", "You may choose to compare any of the models. Let's compare the sin/cos model with the complete (all) model as an example. " ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/html": [ "2.87890212362762" ], "text/latex": [ "2.87890212362762" ], "text/markdown": [ "2.87890212362762" ], "text/plain": [ "[1] 2.878902" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# define the length of the series \n", "n<-length(TS_df$Specimens)-1\n", "\n", "# extract the BIC scores \n", "bics<-c(TS_mod_sin_cos=extractAIC(TS_lm_sin_cos, k=log(n))[2],TS_mod_all=extractAIC(TS_lm_all, k=log(n))[2])\n", "\n", "# subtract the bic scores \n", "as.numeric(bics[1]) - as.numeric(bics[2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For this example using Culex erraticus from Walton County, we can see that there is positive evidence for the complete model incorporating Precipitation, Maximum Temperature and past abundance counts, with a BIC score that is 2.88 lower than the sin/cos model. In other words, it is resonable for us to infer that temperature is the main reason why why observe cycles in abundance, but with a time lag built into the response. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Airline passenger data\n", "\n", "Now let's perform a time series analysis of some data on airline passenger numbers. \n", "\n", "The data you will analyze consist of monthly numbers of international airline passengers from 1949 to 1961. These data can be found in the [`airline.csv`](https://github.com/vectorbite/VBiTraining/raw/master/data/airline.csv) file. " ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "airline <- read.csv(\"../data/airline.csv\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First plot the data:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtAAAAJYCAIAAADE1kZ+AAAACXBIWXMAABJ0AAASdAHeZh94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\nOgQcAAAAILr/B5p1ptRtZ4VDAAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(airline$Passengers, xlab=\"year\", ylab=\"monthly passengers\", type=\"l\", col=3, lwd=2, xaxt=\"n\")\n", "axis(1, at=(0:12)*12, labels=1949:1961)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that this involves a somewhat different approach toward adding axis labels than usual. *What does `at=\"n\"` mean? What does the axis function do?* (Check the help doc: `?axis`)\n", "\n", "Next, we use the `acf` function to plot the auto-correlation function of the passengers data:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "## put the acf function here\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*From the two plots above, what things do you notice about the data? What transforms might you need to take of the data? What kinds of covariates might you need to add in?*\n", "\n", "Re-plot the from data above using a log transform of the response (passenger):" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "## plot code here" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now it's time to build a data frame to hold the data. This is a good habit to get in to when you are building models for data that include transforms and possibly multiple lags, etc. \n", "\n", "First we make a time covariate:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "t <- 2:nrow(airline)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, into the data frame, add the following covariates:\n", "\n", "1. logY: log of the number of passengers \n", "2. logYpast: this is your auto-regressive term, the log of the passengers from the previous month\n", "3. t: month number\n", "4. sin12: sine terms with period of 12 months\n", "5. cos12: cosine term with period of 12 months" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "YX <- data.frame(logY=log(airline$Passengers[2:144]), \n", " logYpast=log(airline$Passengers[1:143]), t=t,\n", " sin12=sin(2*pi*t/12), cos12=cos(2*pi*t/12))" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "## your fitted model and the summary go here" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fit a linear model with logY as the response and the other 4 components as predictors. Look at the summary of the fit.\n", "\n", "\n", "*Are all of the predictors significant? What is the $R^2$ of your regression?*\n", "\n", "Next, we want to plot the data along with the prediction (aka the fit). I've plotted the data on a log scale (drawn with a dotted line). Use the \"lines\" function to overlay the FITTED values from your regression (e.g., if your regression model was called \"reg\" you want to plot reg$fitted vs t) as a solid line in another color. This solid line is your prediction. Update the legend to reflect your additional line." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtAAAAJYCAIAAADE1kZ+AAAACXBIWXMAABJ0AAASdAHeZh94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\niIiISDgGDiIiIhLu/wFazxodFsSGkgAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(log(airline$Passengers), xlab=\"year\",\n", " ylab=\"log monthly passengers\", type=\"l\", col=4, lty=2,\n", " xaxt=\"n\", lwd=2)\n", "axis(1, at=(0:12)*12, labels=1949:1961)\n", "\n", "## add in the line here\n", "\n", "legend(\"topleft\", legend=c(\"data\", \"fitted\"), lty=c(2,1), col=c(4,4)) ## update the legend\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The difference between the solid and dotted lines at each month are your residuals across time. As always, we want to also look at our residuals explicitly to see if we're doing a good job of explaining things. For TS we primarily look at residuals across time, and the ACF of our residuals. So make those two plots here. " ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "par(mfrow=c(1,2))\n", "\n", "## residuals plotted across time\n", "\n", "## acf plot of the residuals" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*How do these look? What do you notice about the residuals, esp the ACF?*\n", "\n", "It turns out that there is a month effect that we're missing. Here is one way to look at it (note we have to index by t so that everything lines up properly):" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "## this command assumes that your fitted model is called mod1. You'll need to change it to your object\n", "\n", "## boxplot(mod1$resid ~ airline$Month[t], xlab=\"month\",\n", "## ylab=\"residuals\", col=7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Residuals in months with lots of school holidays (March, summer, December) are consistantly high. Let's create a dummy variable called \"holidays\" that tells whether a particular passenger record is for a month that has lots of holidays." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "YX$holidays <- airline$Month[t] %in% c(3,6,7,8,12)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fit a new lm that adds this holiday variable on to what you had before, and then re-examine the residuals, including by month." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "## new fitted model and summary here\n", "\n", "## plot of data + model fit here\n", "par(mfrow=c(1,2))\n", "## residuals plotted across time\n", "\n", "## acf plot of the residuals\n", "\n", "## boxplot of residuals by month\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model Comparison\n", "\n", "Now you have 2 nested models. Because they are nested, we can compare them in two ways. First I do a partial F-test. The idea behind the F-test is that it looks at the difference in the $R^2$ value between the two models and determines whether or not this difference is large enough to warrent the additional covariates. If we use the \"anova\" function in R and provide both fittend model objects as arguments, it will automatically perform a partial F-test. Note: you will need to replace mod1 and mod2 with the names of your model objects." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "## partial F test: anova(mod1, mod2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Based on these what model would you choose and why?*\n", "\n", "We can also compare the models via BIC (the Bayesian Information Criterion) and the approximate relative model probabilities based on the BICs. Note that we can use BIC/model probabilities to compare between models even if the models are not nested, as long as the response being modeled is the same in each case. Note: you will need to replace mod1 and mod2 with the names of your model objects." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "n<-length(YX$logY)-1\n", "##bics<-c(mod1=extractAIC(mod1, k=log(n))[2],\n", "## mod2=extractAIC(mod2, k=log(n))[2])\n", "\n", "##ebics<-exp(-0.5*(bics-min(bics)))\n", "\n", "##probs<-ebics/sum(ebics)\n", "\n", "\n", "##rbind(round(bics, 5), round(probs, 5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Which model is the best via BIC? Does this jive with what the partial F-test told you? What is the $R^2$ for your best model. Based on this model selection, $R^2$ and what you saw in the residuals for this model, do you feel satisfied that your model is capturing the patterns in the data? Would you want to go back and fit anything else?*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Practical\n", "\n", "Use *Aedes aegypti* abundances from light traps from various locations in Manatee County, Florida to perform a Time series analysis. This dataset can be downloaded from [VecDyn](http://vectorbyte.org/). You will need to register first. The same dataset is also available on the workshop [git repository](https://github.com/vectorbite/VBiTraining2) (file called [`vecdyn_manatee_county_a.aegypti.csv`](https://github.com/vectorbite/VBiTraining2/raw/master/data/vecdyn_manatee_county_a.aegypti.csv)). \n", "\n", "Write it as an independent, self-sufficient R script that produces all the plots in a reproducible workflow when sourced. " ] } ], "metadata": { "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "3.4.4" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": false, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": false, "skip_h1_title": false, "title_cell": "Contents", "title_sidebar": "Contents", "toc_cell": true, "toc_position": { "height": "666.449px", "left": "10px", "top": "150px", "width": "281.264px" }, "toc_section_display": false, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }