XGBoost - n_estimators = 1 equal to single-tree classifier?

import subprocess

import numpy as np
from xgboost import XGBClassifier, plot_tree

from sklearn.tree import DecisionTreeClassifier, export_graphviz
from sklearn.datasets import make_classification
from sklearn.model_selection import train_test_split
from sklearn import metrics

import matplotlib.pyplot as plt

RANDOM_STATE = 100
params = {
    'max_depth': 5,
    'min_samples_leaf': 5,
    'random_state': RANDOM_STATE
}

X, y = make_classification(
    n_samples=1000000,
    n_features=5,
    random_state=RANDOM_STATE
)

Xtrain, Xtest, ytrain, ytest = train_test_split(X, y, random_state=RANDOM_STATE)

# __init__(self, max_depth=3, learning_rate=0.1,
# n_estimators=100, silent=True,
# objective='binary:logistic', booster='gbtree',
# n_jobs=1, nthread=None, gamma=0,
# min_child_weight=1, max_delta_step=0,
# subsample=1, colsample_bytree=1, colsample_bylevel=1,
# reg_alpha=0, reg_lambda=1, scale_pos_weight=1,
# base_score=0.5, random_state=0, seed=None, missing=None, **kwargs)
xgb_model = XGBClassifier(
    n_estimators=1,
    max_depth=3,
    min_samples_leaf=5,
    random_state=RANDOM_STATE
)

# __init__(self, criterion='gini',
# splitter='best', max_depth=None,
# min_samples_split=2, min_samples_leaf=1,
# min_weight_fraction_leaf=0.0, max_features=None,
# random_state=None, max_leaf_nodes=None,
# min_impurity_decrease=0.0, min_impurity_split=None,
# class_weight=None, presort=False)
sk_model = DecisionTreeClassifier(
    max_depth=3,
    min_samples_leaf=5,
    random_state=RANDOM_STATE
)

xgb_model.fit(Xtrain, ytrain)
xgb_pred = xgb_model.predict(Xtest)

sk_model.fit(Xtrain, ytrain)
sk_pred = sk_model.predict(Xtest)

print(metrics.classification_report(ytest, xgb_pred))
print(metrics.classification_report(ytest, sk_pred))

plot_tree(xgb_model, rankdir='LR'); plt.show()

export_graphviz(sk_model, 'sk_model.dot'); subprocess.call('dot -Tpng sk_model.dot -o sk_model.png'.split())

Some performance metrics (I know, I didn't calibrate the classifiers totally)...

>>> print(metrics.classification_report(ytest, xgb_pred))
              precision    recall  f1-score   support

           0       0.86      0.82      0.84    125036
           1       0.83      0.87      0.85    124964

   micro avg       0.85      0.85      0.85    250000
   macro avg       0.85      0.85      0.85    250000
weighted avg       0.85      0.85      0.85    250000

>>> print(metrics.classification_report(ytest, sk_pred))
              precision    recall  f1-score   support

           0       0.86      0.82      0.84    125036
           1       0.83      0.87      0.85    124964

   micro avg       0.85      0.85      0.85    250000
   macro avg       0.85      0.85      0.85    250000
weighted avg       0.85      0.85      0.85    250000

And some pictures:

So, barring any investigate mistakes/overgeneralizations, an XGBClassifier (and, I would assume, Regressor) with one estimator seems identical to a scikit-learn DecisionTreeClassifier with the same shared parameters.