R语言 fit th Poisson GLM with a logarithmic link function ，using the systematic component Count~Species+factor(Quadrat），when the pearson and deviance residuals are expected to be adequate,datasets:seabirds

To fit a Poisson GLM with a logarithmic link function in R, you can use the `glm()` function. Here is an example code for your dataset:

# Load the dataset
seabirds <- read.csv("seabirds.csv")

# Fit the Poisson GLM with a logarithmic link function
model <- glm(Count ~ Species + factor(Quadrat), data = seabirds, family = poisson(link = "log"))

# Check the residuals
summary(model)

This code will fit a Poisson GLM with the systematic component `Count~Species+factor(Quadrat)` and a logarithmic link function. The `family = poisson(link = "log")` argument specifies the Poisson distribution with a logarithmic link function.

After fitting the model, you can check the residuals using the `summary()` function. The output will include the deviance and Pearson residuals, which you can use to assess the adequacy of the model. If the residuals are not adequate, you may need to consider a different model or perform some additional data preprocessing.